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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (1-50 of 91 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
16T1862 $C_2^8.A_4\wr C_2$ $73728$ $-1$ ✓ $C_2$, $A_4\wr C_2$ 16T1862 x 3, 32T1831766 x 2, 32T1831767 x 2, 32T1831768 x 2, 32T1831936 x 2
16T1863 $C_2^7.\PGOPlus(4,3)$ $73728$ $-1$ ✓ $C_2$, $(A_4\wr C_2):C_2$ 16T1863 x 3, 32T1831769 x 2, 32T1831770 x 2, 32T1831771 x 2, 32T1831893 x 2
16T1864 $C_2^8.D_6\wr C_2$ $73728$ $1$ ✓ $C_2$, $D_{4}$ 16T1864, 24T16233 x 2, 24T16234 x 2, 24T16235 x 2, 24T16236 x 2, 24T16237 x 2, 24T16238 x 2, 24T16239 x 2, 24T16240 x 2, 24T16365 x 2, 24T16367 x 2, 24T16369 x 2, 24T16371 x 2, 24T16513 x 2, 24T16515 x 2, 24T16517 x 2, 24T16519 x 2, 32T1831704, 32T1831772 x 2, 32T1831773 x 2, 32T1831774 x 2, 32T1831775 x 2, 32T1831776 x 2, 32T1831777 x 2, 32T1831778 x 2
16T1865 $C_2^7.A_4^2:C_4$ $73728$ $1$ ✓ $C_2$, $A_4^2:C_4$ 16T1865 x 3, 32T1831779 x 2, 32T1831780 x 2, 32T1831781 x 2, 32T1831881 x 2
16T1866 $C_2^7.A_4^2:C_4$ $73728$ $-1$ ✓ $C_2$, $A_4^2:C_4$ 16T1866 x 3, 32T1831782 x 2, 32T1831783 x 2, 32T1831784 x 2, 32T1831906 x 2
16T1867 $C_2^7.\PGOPlus(4,3)$ $73728$ $1$ ✓ $C_2$, $(A_4\wr C_2):C_2$ 16T1867 x 3, 32T1831785 x 2, 32T1831786 x 2, 32T1831787 x 2, 32T1831900 x 2
16T1868 $C_2^6.S_4\wr C_2$ $73728$ $1$ ✓ $C_2$, $S_4\wr C_2$ 16T1868 x 11, 32T1831788 x 6, 32T1831789 x 6, 32T1831790 x 6
16T1869 $C_2^6.S_4\wr C_2$ $73728$ $1$ ✓ $C_2$, $S_4\wr C_2$ 16T1869 x 3, 32T1831791 x 2, 32T1831792 x 2, 32T1831793 x 2, 32T1831932 x 2
16T1870 $C_2^7.\PGOPlus(4,3)$ $73728$ $-1$ ✓ $C_2$, $(A_4\wr C_2):C_2$ 16T1870 x 3, 32T1831794 x 2, 32T1831795 x 2, 32T1831796 x 2, 32T1831924 x 2
16T1871 $Q_8^2.A_4^2.D_4$ $73728$ $-1$ ✓ $C_2$, $S_4\wr C_2$ 16T1871 x 3, 32T1831797 x 2, 32T1831798 x 2, 32T1831799 x 2, 32T1831874 x 2
16T1872 $C_2^6.S_4\wr C_2$ $73728$ $-1$ ✓ $C_2$, $S_4\wr C_2$ 16T1872 x 3, 32T1831800 x 2, 32T1831801 x 2, 32T1831802 x 2, 32T1831954 x 2
16T1873 $C_2\times S_8$ $80640$ $1$ $C_2$, $S_8$ 16T1873, 32T1832184
16T1874 $C_2^8.C_3\wr C_2^2$ $82944$ $1$ ✓ $C_2$ x 3, $C_2^2$ 24T16557, 24T16600 x 3, 24T16604 x 3, 32T1832196 x 3, 36T19036 x 3, 36T19037 x 3
16T1875 $A_4\wr C_4$ $82944$ $1$ ✓ $C_2$, $C_4$ 24T16558, 24T16602, 24T16605, 32T1832195, 36T19040, 36T19041
16T1876 $(C_2^2.A_4^3):A_4$ $82944$ $1$ ✓ $A_4$ 24T16560
16T1877 $(C_2^2.A_4^3):A_4$ $82944$ $1$ ✓ $A_4$ 24T16559
16T1878 $C_2^8.\PGL(2,7)$ $86016$ $-1$ $\PGL(2,7)$ 16T1878 x 3, 32T1832207 x 2, 32T1832208 x 2, 32T1832209 x 2
16T1879 $C_4^4.C_2\wr S_4$ $98304$ $-1$ ✓ $S_4$, $C_2 \wr S_4$ 16T1879 x 15, 32T1832455 x 8, 32T1832456 x 8, 32T1832457 x 8, 32T1832458 x 8, 32T1832459 x 8, 32T1832460 x 8, 32T1832461 x 8, 32T1832462 x 8, 32T1832463 x 8, 32T1832464 x 8, 32T1832465 x 8, 32T1832466 x 8, 32T1832467 x 8, 32T1832468 x 8, 32T1832469 x 8
16T1880 $(C_2^2:S_4)^2.D_6$ $110592$ $1$ ✓ $C_2$, $D_{4}$ 24T17901, 24T17902, 24T17903, 24T17904, 24T17915, 24T17916, 32T1838536, 32T1838540, 32T1838541, 32T1838542, 36T20665, 36T20666, 36T20667, 36T20668, 36T20669, 36T20670, 36T20671, 36T20672, 36T20767
16T1881 $C_2^8.C_3^2:\GL(2,3)$ $110592$ $-1$ ✓ $S_4$ 18T800, 18T801, 24T17905, 24T17906, 24T17907, 24T17908, 32T1838543, 32T1838544, 32T1838545, 36T20719
16T1882 $\GL(3,2)^2:C_4$ $112896$ $-1$ $C_2$ 28T669, 32T1838588, 42T1258
16T1883 $\PGOPlus(4,7)$ $112896$ $1$ $C_2$ 28T670, 32T1838589, 42T1259
16T1884 $C_2^6.S_4^2:C_2^2$ $147456$ $1$ ✓ $C_2$, $S_4\wr C_2$ 16T1884 x 7, 32T2076186 x 4, 32T2076187 x 4, 32T2076188 x 4, 32T2076189 x 4, 32T2076190 x 4, 32T2076191 x 4, 32T2076192 x 4, 32T2076378 x 4
16T1885 $C_2^6.S_4^2:C_4$ $147456$ $-1$ ✓ $C_2$, $S_4\wr C_2$ 16T1885 x 7, 32T2076193 x 4, 32T2076194 x 4, 32T2076195 x 4, 32T2076196 x 4, 32T2076197 x 4, 32T2076198 x 4, 32T2076199 x 4, 32T2076328 x 4
16T1886 $C_2^6.S_4^2:C_2^2$ $147456$ $-1$ ✓ $C_2$, $S_4\wr C_2$ 16T1886 x 7, 32T2076200 x 4, 32T2076201 x 4, 32T2076202 x 4, 32T2076203 x 4, 32T2076204 x 4, 32T2076205 x 4, 32T2076206 x 4, 32T2076307 x 4
16T1887 $C_2^8.\PGOPlus(4,3)$ $147456$ $-1$ ✓ $C_2$, $(A_4\wr C_2):C_2$ 16T1887 x 7, 32T2076207 x 4, 32T2076208 x 4, 32T2076209 x 4, 32T2076210 x 4, 32T2076211 x 4, 32T2076212 x 4, 32T2076213 x 4, 32T2076357 x 4
16T1888 $C_2^6.S_4^2:C_4$ $147456$ $-1$ ✓ $C_2$, $S_4\wr C_2$ 16T1888 x 7, 32T2076214 x 4, 32T2076215 x 4, 32T2076216 x 4, 32T2076217 x 4, 32T2076218 x 4, 32T2076219 x 4, 32T2076220 x 4, 32T2076340 x 4
16T1889 $C_2^8.A_4^2:C_4$ $147456$ $-1$ ✓ $C_2$, $A_4^2:C_4$ 16T1889 x 7, 32T2076221 x 4, 32T2076222 x 4, 32T2076223 x 4, 32T2076224 x 4, 32T2076225 x 4, 32T2076226 x 4, 32T2076227 x 4, 32T2076293 x 4
16T1890 $A_4^2\wr C_2.C_2^2$ $165888$ $1$ ✓ $C_2$, $D_{4}$ 24T18372, 24T18373, 24T18409, 24T18418, 32T2077382, 32T2077391, 36T23373, 36T23374, 36T23375, 36T23376
16T1891 $A_4^2\wr C_2.C_4$ $165888$ $1$ ✓ $C_2$ x 3, $C_2^2$ 24T18380, 24T18381, 24T18416 x 2, 32T2077377 x 2, 32T2077379, 32T2077392, 36T23380, 36T23381, 36T23382 x 2, 36T23383 x 2, 36T23384 x 2
16T1892 $A_4^2\wr C_2.C_2^2$ $165888$ $1$ ✓ $C_2$ x 3, $C_2^2$ 24T18374, 24T18375, 24T18413 x 6, 32T2077381 x 3, 32T2077393, 36T23385 x 3, 36T23386 x 3, 36T23387 x 6
16T1893 $C_2^8.C_3^3:(C_4\times S_3)$ $165888$ $1$ ✓ $C_2$, $C_4$ 24T18378, 24T18379, 24T18415, 24T18417, 32T2077378, 32T2077394, 36T23400, 36T23401, 36T23402, 36T23403
16T1894 $C_2^8.C_3^2:F_9$ $165888$ $-1$ ✓ $C_2$, $C_4$ 24T18384, 24T18385, 32T2077376, 32T2077395, 36T23404, 36T23405
16T1895 $C_2^8:S_3\wr C_3$ $165888$ $1$ ✓ $A_4$ 24T18390, 24T18391, 32T2077396
16T1896 $C_2^8.C_3^4:D_4$ $165888$ $1$ ✓ $C_2$ x 3, $C_2^2$ 24T18382, 24T18383, 24T18412 x 4, 32T2077375, 32T2077380 x 2, 32T2077397, 36T23468, 36T23469, 36T23470 x 2, 36T23471 x 2, 36T23472 x 4
16T1897 $C_2^8.C_3^3:D_{12}$ $165888$ $1$ ✓ $C_2$, $D_{4}$ 24T18376, 24T18377, 24T18410, 24T18414, 32T2077383, 32T2077398, 36T23458, 36T23459, 36T23460, 36T23461
16T1898 $C_2^8.C_3^4:Q_8$ $165888$ $1$ ✓ $C_2$ x 3, $C_2^2$ 24T18386, 24T18387, 32T2077374 x 3, 32T2077399, 36T23462 x 3, 36T23463 x 3
16T1899 $C_2^8:(C_3^3:S_4)$ $165888$ $1$ ✓ $S_4$ 24T18394, 24T18395, 32T2077400
16T1900 $C_2^8:(C_3^3:S_4)$ $165888$ $1$ ✓ $S_4$ 24T18392, 24T18393, 32T2077401
16T1901 $C_2^2.A_4^3.S_4$ $165888$ $1$ ✓ $S_4$ 24T18388, 24T18389, 32T2077402
16T1902 $C_2^4.C_2^6:\GL(3,2)$ $172032$ $1$ $C_2^3:\GL(3,2)$
16T1903 $\PGL(2,7)\wr C_2$ $225792$ $-1$ $C_2$ 28T869, 32T2081907, 32T2081908, 32T2081909, 42T1484
16T1904 $A_4\wr A_4$ $248832$ $1$ ✓ $A_4$ 24T19272
16T1905 $C_2^6.S_4^2:D_4$ $294912$ $-1$ ✓ $C_2$, $S_4\wr C_2$ 16T1905 x 15, 32T2265666 x 8, 32T2265667 x 8, 32T2265668 x 8, 32T2265669 x 8, 32T2265670 x 8, 32T2265671 x 8, 32T2265672 x 8, 32T2265673 x 8, 32T2265674 x 8, 32T2265675 x 8, 32T2265676 x 8, 32T2265677 x 8, 32T2265678 x 8, 32T2265679 x 8, 32T2265680 x 8, 32T2265730 x 8
16T1906 $C_2^4.A_8$ $322560$ $1$ 30T1717
16T1907 $C_2^8.C_3^4:\OD_{16}$ $331776$ $-1$ ✓ $C_2$, $C_4$ 24T19596, 24T19597, 24T19598, 24T19599, 32T2267331, 32T2267340, 32T2267341, 32T2267342, 36T28189, 36T28190, 36T28191, 36T28192
16T1908 $A_4^2:\PGOPlus(4,3).C_2^2$ $331776$ $1$ ✓ $C_2$ x 3, $C_2^2$ 24T19592, 24T19593, 24T19594, 24T19595, 32T2267328 x 2, 32T2267330, 32T2267343, 32T2267344, 32T2267345, 36T28209 x 2, 36T28210 x 2, 36T28211 x 2, 36T28212 x 2, 36T28213, 36T28214, 36T28215, 36T28216
16T1909 $A_4^2\wr C_2.D_4$ $331776$ $1$ ✓ $C_2$, $D_{4}$ 24T19572, 24T19573, 24T19574, 24T19575, 24T19620, 24T19623, 32T2267327, 32T2267346, 32T2267347, 32T2267348, 36T28233, 36T28234, 36T28235, 36T28236, 36T28237, 36T28238, 36T28239, 36T28240
16T1910 $A_4^2\wr C_2.D_4$ $331776$ $1$ ✓ $C_2$, $D_{4}$ 24T19604, 24T19605, 24T19606, 24T19607, 24T19618, 24T19622, 32T2267326, 32T2267349, 32T2267350, 32T2267351, 36T28201, 36T28202, 36T28203, 36T28204, 36T28205, 36T28206, 36T28207, 36T28208
16T1911 $A_4^2\wr C_2.D_4$ $331776$ $1$ ✓ $C_2$ x 3, $C_2^2$ 24T19576, 24T19577, 24T19578, 24T19579, 24T19619 x 2, 32T2267329 x 2, 32T2267333, 32T2267352, 32T2267353, 32T2267354, 36T28177, 36T28178, 36T28179, 36T28180, 36T28181 x 2, 36T28182 x 2, 36T28217 x 2, 36T28218 x 2, 36T28219 x 2, 36T28220 x 2
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Results are complete for degrees $\leq 23$.