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Extensions 1→N→G→Q→1 with N=C2×C62 and Q=C4

Direct product G=N×Q with N=C2×C62 and Q=C4
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018

Semidirect products G=N:Q with N=C2×C62 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C62)⋊1C4 = C32×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C6272(C2xC6^2):1C4288,317
(C2×C62)⋊2C4 = C3×C23.7D6φ: C4/C1 → C4 ⊆ Aut C2×C62244(C2xC6^2):2C4288,268
(C2×C62)⋊3C4 = C62.38D4φ: C4/C1 → C4 ⊆ Aut C2×C6272(C2xC6^2):3C4288,309
(C2×C62)⋊4C4 = (C2×C62)⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C62244(C2xC6^2):4C4288,434
(C2×C62)⋊5C4 = C2×C62⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C6224(C2xC6^2):5C4288,941
(C2×C62)⋊6C4 = C23×C32⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C6248(C2xC6^2):6C4288,1039
(C2×C62)⋊7C4 = C22⋊C4×C3×C6φ: C4/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2):7C4288,812
(C2×C62)⋊8C4 = C6×C6.D4φ: C4/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2):8C4288,723
(C2×C62)⋊9C4 = C2×C62⋊5C4φ: C4/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2):9C4288,809
(C2×C62)⋊10C4 = Dic3×C22×C6φ: C4/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2):10C4288,1001
(C2×C62)⋊11C4 = C23×C3⋊Dic3φ: C4/C2 → C2 ⊆ Aut C2×C62288(C2xC6^2):11C4288,1016

Non-split extensions G=N.Q with N=C2×C62 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C62).1C4 = C32×C4.D4φ: C4/C1 → C4 ⊆ Aut C2×C6272(C2xC6^2).1C4288,318
(C2×C62).2C4 = C3×C12.D4φ: C4/C1 → C4 ⊆ Aut C2×C62244(C2xC6^2).2C4288,267
(C2×C62).3C4 = (C6×D4).S3φ: C4/C1 → C4 ⊆ Aut C2×C6272(C2xC6^2).3C4288,308
(C2×C62).4C4 = C62⋊3C8φ: C4/C1 → C4 ⊆ Aut C2×C6248(C2xC6^2).4C4288,435
(C2×C62).5C4 = (C2×C62).C4φ: C4/C1 → C4 ⊆ Aut C2×C62244(C2xC6^2).5C4288,436
(C2×C62).6C4 = C22×C32⋊2C8φ: C4/C1 → C4 ⊆ Aut C2×C6296(C2xC6^2).6C4288,939
(C2×C62).7C4 = C2×C62.C4φ: C4/C1 → C4 ⊆ Aut C2×C6248(C2xC6^2).7C4288,940
(C2×C62).8C4 = C32×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).8C4288,316
(C2×C62).9C4 = M4(2)×C3×C6φ: C4/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).9C4288,827
(C2×C62).10C4 = C3×C12.55D4φ: C4/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2).10C4288,264
(C2×C62).11C4 = C62⋊7C8φ: C4/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).11C4288,305
(C2×C62).12C4 = C2×C6×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C6296(C2xC6^2).12C4288,691
(C2×C62).13C4 = C6×C4.Dic3φ: C4/C2 → C2 ⊆ Aut C2×C6248(C2xC6^2).13C4288,692
(C2×C62).14C4 = C22×C32⋊4C8φ: C4/C2 → C2 ⊆ Aut C2×C62288(C2xC6^2).14C4288,777
(C2×C62).15C4 = C2×C12.58D6φ: C4/C2 → C2 ⊆ Aut C2×C62144(C2xC6^2).15C4288,778

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