LMFDB - Conjugacy class search results

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Elements of the group are displayed as permutations of degree 26.

Group	Label	Order	Size	Centralizer	Powers	Representative
Group	Label	Order	Size	Centralizer	2P	Representative
$C_2^5.C_2^6$	1A	$1$	$1$	not computed	1A	$()$
$C_2^5.C_2^6$	2A	$2$	$1$	not computed	1A	$(25,26)$
$C_2^5.C_2^6$	2B	$2$	$1$	not computed	1A	$(17,19)(18,21)(20,23)(22,24)(25,26)$
$C_2^5.C_2^6$	2C	$2$	$1$	not computed	1A	$(1,4)(2,7)(3,9)(5,11)(6,12)(8,14)(10,15)(13,16)(25,26)$
$C_2^5.C_2^6$	2D	$2$	$1$	not computed	1A	$(1,4)(2,7)(3,9)(5,11)(6,12)(8,14)(10,15)(13,16)(17,19)(18,21)(20,23)(22,24)(25,26)$
$C_2^5.C_2^6$	2E	$2$	$1$	not computed	1A	$(17,19)(18,21)(20,23)(22,24)$
$C_2^5.C_2^6$	2F	$2$	$1$	not computed	1A	$(1,4)(2,7)(3,9)(5,11)(6,12)(8,14)(10,15)(13,16)(17,19)(18,21)(20,23)(22,24)$
$C_2^5.C_2^6$	2G	$2$	$1$	not computed	1A	$(1,4)(2,7)(3,9)(5,11)(6,12)(8,14)(10,15)(13,16)$
$C_2^5.C_2^6$	2H	$2$	$2$	not computed	1A	$(5,11)(8,14)(10,15)(13,16)(25,26)$
$C_2^5.C_2^6$	2I	$2$	$2$	not computed	1A	$(5,11)(8,14)(10,15)(13,16)(17,19)(18,21)(20,23)(22,24)(25,26)$
$C_2^5.C_2^6$	2J	$2$	$2$	not computed	1A	$(2,7)(6,12)(8,14)(13,16)(25,26)$
$C_2^5.C_2^6$	2K	$2$	$2$	not computed	1A	$(2,7)(6,12)(8,14)(13,16)(17,19)(18,21)(20,23)(22,24)(25,26)$
$C_2^5.C_2^6$	2L	$2$	$2$	not computed	1A	$(2,7)(5,11)(6,12)(10,15)(25,26)$
$C_2^5.C_2^6$	2M	$2$	$2$	not computed	1A	$(2,7)(5,11)(6,12)(10,15)(17,19)(18,21)(20,23)(22,24)(25,26)$
$C_2^5.C_2^6$	2N	$2$	$2$	not computed	1A	$(5,11)(8,14)(10,15)(13,16)$
$C_2^5.C_2^6$	2O	$2$	$2$	not computed	1A	$(5,11)(8,14)(10,15)(13,16)(17,19)(18,21)(20,23)(22,24)$
$C_2^5.C_2^6$	2P	$2$	$2$	not computed	1A	$(2,7)(6,12)(8,14)(13,16)(17,19)(18,21)(20,23)(22,24)$
$C_2^5.C_2^6$	2Q	$2$	$2$	not computed	1A	$(2,7)(6,12)(8,14)(13,16)$
$C_2^5.C_2^6$	2R	$2$	$2$	not computed	1A	$(1,4)(3,9)(8,14)(13,16)(17,19)(18,21)(20,23)(22,24)$
$C_2^5.C_2^6$	2S	$2$	$2$	not computed	1A	$(1,4)(3,9)(8,14)(13,16)$
$C_2^5.C_2^6$	2T	$2$	$4$	not computed	1A	$(3,9)(6,12)(10,15)(13,16)(18,21)(22,24)$
$C_2^5.C_2^6$	2U	$2$	$4$	not computed	1A	$(3,9)(6,12)(10,15)(13,16)(18,21)(22,24)(25,26)$
$C_2^5.C_2^6$	2V	$2$	$4$	not computed	1A	$(3,9)(6,12)(10,15)(13,16)(17,18)(19,21)(20,22)(23,24)$
$C_2^5.C_2^6$	2W	$2$	$4$	not computed	1A	$(3,9)(6,12)(10,15)(13,16)(17,18)(19,21)(20,22)(23,24)(25,26)$
$C_2^5.C_2^6$	2X	$2$	$4$	not computed	1A	$(3,9)(5,11)(6,12)(8,14)(18,21)(22,24)$
$C_2^5.C_2^6$	2Y	$2$	$4$	not computed	1A	$(3,9)(5,11)(6,12)(8,14)(18,21)(22,24)(25,26)$
$C_2^5.C_2^6$	2Z	$2$	$4$	not computed	1A	$(3,9)(5,11)(6,12)(8,14)(17,18)(19,21)(20,22)(23,24)$
$C_2^5.C_2^6$	2AA	$2$	$4$	not computed	1A	$(3,9)(5,11)(6,12)(8,14)(17,18)(19,21)(20,22)(23,24)(25,26)$
$C_2^5.C_2^6$	2AB	$2$	$4$	not computed	1A	$(2,7)(3,9)(8,14)(10,15)(18,21)(22,24)$
$C_2^5.C_2^6$	2AC	$2$	$4$	not computed	1A	$(2,7)(3,9)(8,14)(10,15)(18,21)(22,24)(25,26)$
$C_2^5.C_2^6$	2AD	$2$	$4$	not computed	1A	$(2,7)(3,9)(8,14)(10,15)(17,18)(19,21)(20,22)(23,24)$
$C_2^5.C_2^6$	2AE	$2$	$4$	not computed	1A	$(2,7)(3,9)(8,14)(10,15)(17,18)(19,21)(20,22)(23,24)(25,26)$
$C_2^5.C_2^6$	2AF	$2$	$4$	not computed	1A	$(2,7)(3,9)(5,11)(13,16)(18,21)(22,24)$
$C_2^5.C_2^6$	2AG	$2$	$4$	not computed	1A	$(2,7)(3,9)(5,11)(13,16)(18,21)(22,24)(25,26)$
$C_2^5.C_2^6$	2AH	$2$	$4$	not computed	1A	$(2,7)(3,9)(5,11)(13,16)(17,18)(19,21)(20,22)(23,24)$
$C_2^5.C_2^6$	2AI	$2$	$4$	not computed	1A	$(2,7)(3,9)(5,11)(13,16)(17,18)(19,21)(20,22)(23,24)(25,26)$
$C_2^5.C_2^6$	2AJ	$2$	$4$	not computed	1A	$(1,2)(3,6)(4,7)(5,8)(9,12)(10,13)(11,14)(15,16)$
$C_2^5.C_2^6$	2AK	$2$	$4$	not computed	1A	$(1,2)(3,6)(4,7)(5,8)(9,12)(10,13)(11,14)(15,16)(25,26)$
$C_2^5.C_2^6$	2AL	$2$	$4$	not computed	1A	$(1,2)(3,6)(4,7)(5,8)(9,12)(10,13)(11,14)(15,16)(17,19)(18,21)(20,23)(22,24)$
$C_2^5.C_2^6$	2AM	$2$	$4$	not computed	1A	$(1,2)(3,6)(4,7)(5,8)(9,12)(10,13)(11,14)(15,16)(17,19)(18,21)(20,23)(22,24)(25,26)$
$C_2^5.C_2^6$	2AN	$2$	$4$	not computed	1A	$(1,3)(2,6)(4,9)(5,10)(7,12)(8,13)(11,15)(14,16)(17,20)(18,24)(19,23)(21,22)$
$C_2^5.C_2^6$	2AO	$2$	$4$	not computed	1A	$(1,3)(2,6)(4,9)(5,10)(7,12)(8,13)(11,15)(14,16)(17,20)(18,24)(19,23)(21,22)(25,26)$
$C_2^5.C_2^6$	2AP	$2$	$4$	not computed	1A	$(1,3)(2,6)(4,9)(5,10)(7,12)(8,13)(11,15)(14,16)(17,22)(18,20)(19,24)(21,23)$
$C_2^5.C_2^6$	2AQ	$2$	$4$	not computed	1A	$(1,3)(2,6)(4,9)(5,10)(7,12)(8,13)(11,15)(14,16)(17,22)(18,20)(19,24)(21,23)(25,26)$
$C_2^5.C_2^6$	2AR	$2$	$4$	not computed	1A	$(1,3)(2,6)(4,9)(5,15)(7,12)(8,16)(10,11)(13,14)(17,20)(18,24)(19,23)(21,22)$
$C_2^5.C_2^6$	2AS	$2$	$4$	not computed	1A	$(1,3)(2,6)(4,9)(5,15)(7,12)(8,16)(10,11)(13,14)(17,20)(18,24)(19,23)(21,22)(25,26)$
$C_2^5.C_2^6$	2AT	$2$	$4$	not computed	1A	$(1,3)(2,6)(4,9)(5,15)(7,12)(8,16)(10,11)(13,14)(17,22)(18,20)(19,24)(21,23)$
$C_2^5.C_2^6$	2AU	$2$	$4$	not computed	1A	$(1,3)(2,6)(4,9)(5,15)(7,12)(8,16)(10,11)(13,14)(17,22)(18,20)(19,24)(21,23)(25,26)$
$C_2^5.C_2^6$	2AV	$2$	$4$	not computed	1A	$(1,3)(2,12)(4,9)(5,10)(6,7)(8,16)(11,15)(13,14)(17,20)(18,24)(19,23)(21,22)$
$C_2^5.C_2^6$	2AW	$2$	$4$	not computed	1A	$(1,3)(2,12)(4,9)(5,10)(6,7)(8,16)(11,15)(13,14)(17,20)(18,24)(19,23)(21,22)(25,26)$

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