# gps_subgroup_search downloaded from the LMFDB on 25 July 2026.
# Search link: https://www.lmfdb.org/Groups/Abstract/Subgroups?subgroup=157464.cc
# Query "{'subgroup': '157464.cc'}" returned 90 gps_subgroup_searchs, sorted by ambient order.

# Each entry in the following data list has the form:
#    [Label, Subgroup, Ambient, Quotient]
# For more details, see the definitions at the bottom of the file.



"157464.cc.1.a1"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464]	[["1.1", "C_1"], 1, false, true, true, true, true, true, false, true, true]
"314928.cl.2.C"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, true, false, false, false, false, false, true, false, false, false, false, false, false]	[["314928.cl", "C_3^8.(S_3\\times Q_8)"], 314928]	[["2.1", "C_2"], 2, false, true, true, true, true, true, true, true, true]
"314928.dm.2.B"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, true, false, false, false, false, false, true, false, false, false, false, false, false]	[["314928.dm", "C_3^8.Q_8:S_3"], 314928]	[["2.1", "C_2"], 2, false, true, true, true, true, true, true, true, true]
"314928.dx.2.B"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, true, false, false, false, false, false, true, false, false, false, false, false, false]	[["314928.dx", "C_3^8.(C_3\\times \\SD_{16})"], 314928]	[["2.1", "C_2"], 2, false, true, true, true, true, true, true, true, true]
"472392.hx.3.A"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, true, false, false, false, false, false, true, false, false, false, false, false, false]	[["472392.hx", "C_3^8.(C_3\\times \\SL(2,3))"], 472392]	[["3.1", "C_3"], 3, false, true, true, true, true, true, true, true, true]
"472392.ia.3.A"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, true, false, false, false, false, false, true, false, false, false, false, false, false]	[["472392.ia", "C_3^8.(C_3\\times \\SL(2,3))"], 472392]	[["3.1", "C_3"], 3, false, true, true, true, true, true, true, true, true]
"629856.co.4.B"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, true, false, false, false, false, false, true, false, false, false, false, false, false]	[["629856.co", "C_3^8:Q_8.A_4"], 629856]	[[NULL, NULL], 4, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"629856.dj.4.D"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["629856.dj", "C_3^8.(S_3\\times \\SD_{16})"], 629856]	[["4.2", "C_2^2"], 4, false, false, true, true, true, true, false, true, true]
"629856.kv.4.B"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, true, false, false, false, false, false, true, false, false, false, false, false, false]	[["629856.kv", "C_3^8.(Q_8\\times A_4)"], 629856]	[[NULL, NULL], 4, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"944784.kh.6.A"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["944784.kh", "C_3^8.(S_3\\times \\SL(2,3))"], 944784]	[["6.2", "C_6"], 6, false, true, true, true, true, true, false, true, true]
"944784.kk.6.A"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["944784.kk", "C_3^8.C_3:\\GL(2,3)"], 944784]	[["6.1", "S_3"], 6, false, false, false, false, true, true, false, true, true]
"944784.kl.6.A"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["944784.kl", "C_3^8.C_3:\\GL(2,3)"], 944784]	[["6.1", "S_3"], 6, false, false, false, false, true, true, false, true, true]
"944784.ko.6.A"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["944784.ko", "C_3^8.(C_3\\times \\GL(2,3))"], 944784]	[["6.1", "S_3"], 6, false, false, false, false, true, true, false, true, true]
"1259712.ct.8.C"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["1259712.ct", "C_3^8:Q_8.S_4"], 1259712]	[[NULL, NULL], 8, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"1259712.lf.8.D"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["1259712.lf", "C_3^8.(A_4\\times \\SD_{16})"], 1259712]	[[NULL, NULL], 8, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"1259712.lg.8.C"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["1259712.lg", "C_3^8.(\\SL(2,3).D_4)"], 1259712]	[[NULL, NULL], 8, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"1259712.lh.8.D"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["1259712.lh", "C_3^8:Q_8.S_4"], 1259712]	[[NULL, NULL], 8, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"1259712.lj.8.D"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["1259712.lj", "C_3^8.Q_8:S_4"], 1259712]	[[NULL, NULL], 8, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"1417176.by.9._.B"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, true, false, false, false, false, false, true, false, false, false, false, false, false]	[["1417176.by", "C_3^6.C_3^5:Q_8"], 1417176]	[[NULL, NULL], 9, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"1417176.by.9._.C"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, true, false, false, false, false, false, true, false, false, false, false, false, false]	[["1417176.by", "C_3^6.C_3^5:Q_8"], 1417176]	[[NULL, NULL], 9, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"1417176.by.9._.D"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, true, false, false, false, false, false, true, false, false, false, false, false, false]	[["1417176.by", "C_3^6.C_3^5:Q_8"], 1417176]	[[NULL, NULL], 9, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"1889568.mo.12.A"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, true, true, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["1889568.mo", "C_3^8.(S_3\\times \\GL(2,3))"], 1889568]	[["12.4", "D_6"], 12, false, false, false, false, true, true, false, true, true]
"1889568.mt.12.D"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["1889568.mt", "C_3^8.\\OmegaPlus(4,3)"], 1889568]	[[NULL, NULL], 12, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"1889568.pd.12.F"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["1889568.pd", "C_3^8.(A_4\\times \\SL(2,3))"], 1889568]	[[NULL, NULL], 12, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"1889568.pe.12.E"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["1889568.pe", "C_3^8.\\OmegaPlus(4,3)"], 1889568]	[[NULL, NULL], 12, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"2519424.ln.16._.D"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["2519424.ln", "C_3^8.(C_2^2\\times Q_8):A_4"], 2519424]	[[NULL, NULL], 16, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"2519424.lr.16.H"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["2519424.lr", "C_3^8.\\GL(2,3):D_4"], 2519424]	[[NULL, NULL], 16, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"2519424.ls.16.L"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["2519424.ls", "C_3^8.(\\SD_{16}\\times S_4)"], 2519424]	[[NULL, NULL], 16, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"2834352.bx.18._.K"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["2834352.bx", "C_3^{10}.D_6.C_2^2"], 2834352]	[[NULL, NULL], 18, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"2834352.bx.18._.R"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["2834352.bx", "C_3^{10}.D_6.C_2^2"], 2834352]	[[NULL, NULL], 18, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"2834352.cl.18._.I"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["2834352.cl", "C_3^{10}.C_6.D_4"], 2834352]	[[NULL, NULL], 18, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"2834352.cl.18._.K"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["2834352.cl", "C_3^{10}.C_6.D_4"], 2834352]	[[NULL, NULL], 18, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"2834352.cl.18._.L"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["2834352.cl", "C_3^{10}.C_6.D_4"], 2834352]	[[NULL, NULL], 18, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"2834352.cr.18._.F"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["2834352.cr", "C_3^8.F_9:C_6"], 2834352]	[[NULL, NULL], 18, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"2834352.cr.18._.H"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["2834352.cr", "C_3^8.F_9:C_6"], 2834352]	[[NULL, NULL], 18, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"3149280.x.20._.F"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["3149280.x", "C_3^8.A_5:Q_8"], 3149280]	[[NULL, NULL], 20, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"3779136.np.24.J"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["3779136.np", "C_3^8.\\SOPlus(4,3)"], 3779136]	[[NULL, NULL], 24, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"3779136.nq.24.G"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["3779136.nq", "C_3^8.\\OmegaPlus(4,3):C_2"], 3779136]	[[NULL, NULL], 24, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"3779136.nr.24.G"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["3779136.nr", "C_3^8.\\OmegaPlus(4,3):C_2"], 3779136]	[[NULL, NULL], 24, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"3779136.ph.24.G"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["3779136.ph", "C_3^8.\\GL(2,3):A_4"], 3779136]	[[NULL, NULL], 24, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"3779136.pi.24.S"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["3779136.pi", "C_3^8.(A_4\\times \\GL(2,3))"], 3779136]	[[NULL, NULL], 24, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"3779136.pj.24.T"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["3779136.pj", "C_3^8.(S_4\\times \\SL(2,3))"], 3779136]	[[NULL, NULL], 24, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"3779136.pk.24.K"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["3779136.pk", "C_3^8.\\SOPlus(4,3)"], 3779136]	[[NULL, NULL], 24, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"3779136.pl.24.I"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["3779136.pl", "C_3^8.\\GL(2,3):A_4"], 3779136]	[[NULL, NULL], 24, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"3779136.pm.24.V"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["3779136.pm", "C_3^8.A_4:\\GL(2,3)"], 3779136]	[[NULL, NULL], 24, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"4251528.dp.27._.B"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["4251528.dp", "C_3^8.C_3^4:Q_8"], 4251528]	[[NULL, NULL], 27, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"4251528.dp.27._.D"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["4251528.dp", "C_3^8.C_3^4:Q_8"], 4251528]	[[NULL, NULL], 27, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"4251528.dp.27._.E"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["4251528.dp", "C_3^8.C_3^4:Q_8"], 4251528]	[[NULL, NULL], 27, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"4251528.dt.27._.M"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["4251528.dt", "C_3^8.C_3^3:\\SL(2,3)"], 4251528]	[[NULL, NULL], 27, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"4251528.dt.27._.N"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["4251528.dt", "C_3^8.C_3^3:\\SL(2,3)"], 4251528]	[[NULL, NULL], 27, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"4251528.dt.27._.O"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["4251528.dt", "C_3^8.C_3^3:\\SL(2,3)"], 4251528]	[[NULL, NULL], 27, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"5668704.bs.36._.G"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["5668704.bs", "C_3^8.F_9:D_6"], 5668704]	[[NULL, NULL], 36, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"5668704.bs.36._.P"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["5668704.bs", "C_3^8.F_9:D_6"], 5668704]	[[NULL, NULL], 36, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"7558272.mf.48.U"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["7558272.mf", "C_3^8.\\GOrthPlus(4,3)"], 7558272]	[[NULL, NULL], 48, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"7558272.om.48.CV"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["7558272.om", "C_3^8.(S_4\\times \\GL(2,3))"], 7558272]	[[NULL, NULL], 48, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"7558272.on.48.U"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["7558272.on", "C_3^8.\\GL(2,3):S_4"], 7558272]	[[NULL, NULL], 48, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.el.54._.F"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.el", "C_3^8.C_3^3:(S_3\\times Q_8)"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.el.54._.X"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.el", "C_3^8.C_3^3:(S_3\\times Q_8)"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.el.54._.BM"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.el", "C_3^8.C_3^3:(S_3\\times Q_8)"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.el.54._.BN"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.el", "C_3^8.C_3^3:(S_3\\times Q_8)"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.eq.54._.N"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.eq", "C_3^8.C_3^4:\\SD_{16}"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.eq.54._.O"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.eq", "C_3^8.C_3^4:\\SD_{16}"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.eq.54._.P"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.eq", "C_3^8.C_3^4:\\SD_{16}"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.fl.54._.F"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.fl", "C_3^8.C_3^4:\\SD_{16}"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.fl.54._.N"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.fl", "C_3^8.C_3^4:\\SD_{16}"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.fm.54._.A"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.fm", "C_3^8.(S_3\\times \\PU(3,2))"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.fm.54._.G"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.fm", "C_3^8.(S_3\\times \\PU(3,2))"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.fp.54._.I"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.fp", "C_3^8.C_3^3:\\GL(2,3)"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.fp.54._.J"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.fp", "C_3^8.C_3^3:\\GL(2,3)"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.fp.54._.L"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.fp", "C_3^8.C_3^3:\\GL(2,3)"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.fr.54._.C"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.fr", "C_3^8.C_3^3:\\GL(2,3)"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"8503056.fr.54._.F"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["8503056.fr", "C_3^8.C_3^3:\\GL(2,3)"], 8503056]	[[NULL, NULL], 54, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"12754584.fb.81._.F"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["12754584.fb", "C_3^8.C_3^5:Q_8"], 12754584]	[[NULL, NULL], 81, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"12754584.fb.81._.G"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["12754584.fb", "C_3^8.C_3^5:Q_8"], 12754584]	[[NULL, NULL], 81, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"12754584.fb.81._.H"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["12754584.fb", "C_3^8.C_3^5:Q_8"], 12754584]	[[NULL, NULL], 81, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"17006112.et.108._.BU"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["17006112.et", "C_3^{10}.S_3^2:Q_8"], 17006112]	[[NULL, NULL], 108, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"17006112.et.108._.LO"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["17006112.et", "C_3^{10}.S_3^2:Q_8"], 17006112]	[[NULL, NULL], 108, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"17006112.eu.108._.BV"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["17006112.eu", "C_3^8.C_3^4:(C_2\\times \\SD_{16})"], 17006112]	[[NULL, NULL], 108, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"17006112.eu.108._.EV"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["17006112.eu", "C_3^8.C_3^4:(C_2\\times \\SD_{16})"], 17006112]	[[NULL, NULL], 108, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"17006112.fr.108._.K"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["17006112.fr", "C_3^8.(\\SOPlus(4,2).S_3^2)"], 17006112]	[[NULL, NULL], 108, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"17006112.fr.108._.Q"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["17006112.fr", "C_3^8.(\\SOPlus(4,2).S_3^2)"], 17006112]	[[NULL, NULL], 108, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"17006112.fr.108._.BD"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["17006112.fr", "C_3^8.(\\SOPlus(4,2).S_3^2)"], 17006112]	[[NULL, NULL], 108, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"17006112.fr.108._.BO"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["17006112.fr", "C_3^8.(\\SOPlus(4,2).S_3^2)"], 17006112]	[[NULL, NULL], 108, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"17006112.fx.108._.C"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["17006112.fx", "C_3^{10}.Q_8.S_3^2"], 17006112]	[[NULL, NULL], 108, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"17006112.fx.108._.F"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["17006112.fx", "C_3^{10}.Q_8.S_3^2"], 17006112]	[[NULL, NULL], 108, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"25509168.hi.162._.J"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["25509168.hi", "C_3^8.C_3^5:\\SD_{16}"], 25509168]	[[NULL, NULL], 162, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"25509168.hi.162._.K"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["25509168.hi", "C_3^8.C_3^5:\\SD_{16}"], 25509168]	[[NULL, NULL], 162, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"25509168.hi.162._.L"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["25509168.hi", "C_3^8.C_3^5:\\SD_{16}"], 25509168]	[[NULL, NULL], 162, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"25509168.hr.162._.I"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["25509168.hr", "C_3^8.C_3^5:\\SD_{16}"], 25509168]	[[NULL, NULL], 162, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]
"25509168.hr.162._.P"	[["157464.cc", "C_3^8.(C_3\\times Q_8)"], 157464, 0, false, false, false, false, false, false, false, false, true, false, false, false, false, false, false]	[["25509168.hr", "C_3^8.C_3^5:\\SD_{16}"], 25509168]	[[NULL, NULL], 162, false, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL]


# Label --
#    The full label of a subgroup is of the form $\mathtt{N.i.m.a}$ or $\mathtt{N.i.m.a.j}$.  In either case, $\mathtt{N.i}$ is the label of the ambient group, $\mathtt{m}$ is the index of the subgroup in the ambient group, $\mathtt{a}$ distinguishes subgroups up to automorphism and $\mathtt{j}$ distinguishes subgroups up to conjugacy.  Both $\mathtt{a}$ and $\mathtt{j}$ take the form of a sequence of letters followed by an ordinal. The letters are a base 26 (a=0, z=25) encoding of the ordering up to Gassmann-equivalence, and the integer following distinguishes groups in the same Gassmann class.  (For details on how we label Gassmann classes and order subgroups within a Gassmann class, see Computing labels of subgroups.) For some ambient groups, we only compute subgroups up to automorphism (in which case the first form is used, omitting the $\mathtt{j}$.

#    When the ambient group is clear from context, sometimes the short label $\mathtt{m.a}$ or $\mathtt{m.a.j}$ is used instead.