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Extensions 1→N→G→Q→1 with N=C3xC12 and Q=Q8

Direct product G=NxQ with N=C3xC12 and Q=Q8
dρLabelID
Q8xC3xC12288Q8xC3xC12288,816

Semidirect products G=N:Q with N=C3xC12 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C3xC12):1Q8 = C4xPSU3(F2)φ: Q8/C1 → Q8 ⊆ Aut C3xC12368(C3xC12):1Q8288,892
(C3xC12):2Q8 = C4:PSU3(F2)φ: Q8/C1 → Q8 ⊆ Aut C3xC12368(C3xC12):2Q8288,893
(C3xC12):3Q8 = C12:3Dic6φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12):3Q8288,566
(C3xC12):4Q8 = C12:Dic6φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12):4Q8288,567
(C3xC12):5Q8 = C3xC12:Q8φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12):5Q8288,659
(C3xC12):6Q8 = C12:2Dic6φ: Q8/C2 → C22 ⊆ Aut C3xC12288(C3xC12):6Q8288,745
(C3xC12):7Q8 = C4xC32:2Q8φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12):7Q8288,565
(C3xC12):8Q8 = C12:6Dic6φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12):8Q8288,726
(C3xC12):9Q8 = C3xC12:2Q8φ: Q8/C4 → C2 ⊆ Aut C3xC1296(C3xC12):9Q8288,640
(C3xC12):10Q8 = C12xDic6φ: Q8/C4 → C2 ⊆ Aut C3xC1296(C3xC12):10Q8288,639
(C3xC12):11Q8 = C4xC32:4Q8φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12):11Q8288,725
(C3xC12):12Q8 = C32xC4:Q8φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12):12Q8288,825

Non-split extensions G=N.Q with N=C3xC12 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C3xC12).1Q8 = C4.4PSU3(F2)φ: Q8/C1 → Q8 ⊆ Aut C3xC12488(C3xC12).1Q8288,392
(C3xC12).2Q8 = C4.PSU3(F2)φ: Q8/C1 → Q8 ⊆ Aut C3xC12488(C3xC12).2Q8288,393
(C3xC12).3Q8 = C4.2PSU3(F2)φ: Q8/C1 → Q8 ⊆ Aut C3xC12488(C3xC12).3Q8288,394
(C3xC12).4Q8 = C4.3PSU3(F2)φ: Q8/C1 → Q8 ⊆ Aut C3xC12488(C3xC12).4Q8288,891
(C3xC12).5Q8 = C12.Dic6φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).5Q8288,221
(C3xC12).6Q8 = C12.6Dic6φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).6Q8288,222
(C3xC12).7Q8 = C6.18D24φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).7Q8288,223
(C3xC12).8Q8 = C12.8Dic6φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).8Q8288,224
(C3xC12).9Q8 = C3xC6.Q16φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).9Q8288,241
(C3xC12).10Q8 = C3xC12.Q8φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).10Q8288,242
(C3xC12).11Q8 = C12.9Dic6φ: Q8/C2 → C22 ⊆ Aut C3xC12288(C3xC12).11Q8288,282
(C3xC12).12Q8 = C12.10Dic6φ: Q8/C2 → C22 ⊆ Aut C3xC12288(C3xC12).12Q8288,283
(C3xC12).13Q8 = C62.39C23φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).13Q8288,517
(C3xC12).14Q8 = C62.42C23φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).14Q8288,520
(C3xC12).15Q8 = C3xC4.Dic6φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).15Q8288,661
(C3xC12).16Q8 = C62.234C23φ: Q8/C2 → C22 ⊆ Aut C3xC12288(C3xC12).16Q8288,747
(C3xC12).17Q8 = C12.81D12φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).17Q8288,219
(C3xC12).18Q8 = C12.15Dic6φ: Q8/C2 → C22 ⊆ Aut C3xC1296(C3xC12).18Q8288,220
(C3xC12).19Q8 = C24:2Dic3φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12).19Q8288,292
(C3xC12).20Q8 = C24:1Dic3φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12).20Q8288,293
(C3xC12).21Q8 = C12.25Dic6φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12).21Q8288,727
(C3xC12).22Q8 = C3xC8:Dic3φ: Q8/C4 → C2 ⊆ Aut C3xC1296(C3xC12).22Q8288,251
(C3xC12).23Q8 = C3xC24:1C4φ: Q8/C4 → C2 ⊆ Aut C3xC1296(C3xC12).23Q8288,252
(C3xC12).24Q8 = C3xC12.6Q8φ: Q8/C4 → C2 ⊆ Aut C3xC1296(C3xC12).24Q8288,641
(C3xC12).25Q8 = C3xC12:C8φ: Q8/C4 → C2 ⊆ Aut C3xC1296(C3xC12).25Q8288,238
(C3xC12).26Q8 = C3xDic3:C8φ: Q8/C4 → C2 ⊆ Aut C3xC1296(C3xC12).26Q8288,248
(C3xC12).27Q8 = C12.57D12φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12).27Q8288,279
(C3xC12).28Q8 = C12.30Dic6φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12).28Q8288,289
(C3xC12).29Q8 = C32xC4.Q8φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12).29Q8288,324
(C3xC12).30Q8 = C32xC2.D8φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12).30Q8288,325
(C3xC12).31Q8 = C32xC42.C2φ: Q8/C4 → C2 ⊆ Aut C3xC12288(C3xC12).31Q8288,822
(C3xC12).32Q8 = C32xC4:C8central extension (φ=1)288(C3xC12).32Q8288,323

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