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Extensions 1→N→G→Q→1 with N=C3×C62 and Q=C4

Direct product G=N×Q with N=C3×C62 and Q=C4
dρLabelID
C62×C12432C6^2xC12432,730

Semidirect products G=N:Q with N=C3×C62 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C3×C62)⋊1C4 = C3×C62⋊C4φ: C4/C1 → C4 ⊆ Aut C3×C62244(C3xC6^2):1C4432,634
(C3×C62)⋊2C4 = C62⋊11Dic3φ: C4/C1 → C4 ⊆ Aut C3×C62244(C3xC6^2):2C4432,641
(C3×C62)⋊3C4 = C2×C6×C32⋊C4φ: C4/C1 → C4 ⊆ Aut C3×C6248(C3xC6^2):3C4432,765
(C3×C62)⋊4C4 = C22×C33⋊C4φ: C4/C1 → C4 ⊆ Aut C3×C6248(C3xC6^2):4C4432,766
(C3×C62)⋊5C4 = C22⋊C4×C33φ: C4/C2 → C2 ⊆ Aut C3×C62216(C3xC6^2):5C4432,513
(C3×C62)⋊6C4 = C32×C6.D4φ: C4/C2 → C2 ⊆ Aut C3×C6272(C3xC6^2):6C4432,479
(C3×C62)⋊7C4 = C3×C62⋊5C4φ: C4/C2 → C2 ⊆ Aut C3×C6272(C3xC6^2):7C4432,495
(C3×C62)⋊8C4 = C63.C2φ: C4/C2 → C2 ⊆ Aut C3×C62216(C3xC6^2):8C4432,511
(C3×C62)⋊9C4 = Dic3×C62φ: C4/C2 → C2 ⊆ Aut C3×C62144(C3xC6^2):9C4432,708
(C3×C62)⋊10C4 = C2×C6×C3⋊Dic3φ: C4/C2 → C2 ⊆ Aut C3×C62144(C3xC6^2):10C4432,718
(C3×C62)⋊11C4 = C22×C33⋊5C4φ: C4/C2 → C2 ⊆ Aut C3×C62432(C3xC6^2):11C4432,728

Non-split extensions G=N.Q with N=C3×C62 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C3×C62).1C4 = C6×C32⋊2C8φ: C4/C1 → C4 ⊆ Aut C3×C6248(C3xC6^2).1C4432,632
(C3×C62).2C4 = C3×C62.C4φ: C4/C1 → C4 ⊆ Aut C3×C62244(C3xC6^2).2C4432,633
(C3×C62).3C4 = C2×C33⋊4C8φ: C4/C1 → C4 ⊆ Aut C3×C6248(C3xC6^2).3C4432,639
(C3×C62).4C4 = C33⋊12M4(2)φ: C4/C1 → C4 ⊆ Aut C3×C62244(C3xC6^2).4C4432,640
(C3×C62).5C4 = M4(2)×C33φ: C4/C2 → C2 ⊆ Aut C3×C62216(C3xC6^2).5C4432,516
(C3×C62).6C4 = C3×C6×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C3×C62144(C3xC6^2).6C4432,469
(C3×C62).7C4 = C32×C4.Dic3φ: C4/C2 → C2 ⊆ Aut C3×C6272(C3xC6^2).7C4432,470
(C3×C62).8C4 = C6×C32⋊4C8φ: C4/C2 → C2 ⊆ Aut C3×C62144(C3xC6^2).8C4432,485
(C3×C62).9C4 = C3×C12.58D6φ: C4/C2 → C2 ⊆ Aut C3×C6272(C3xC6^2).9C4432,486
(C3×C62).10C4 = C2×C33⋊7C8φ: C4/C2 → C2 ⊆ Aut C3×C62432(C3xC6^2).10C4432,501
(C3×C62).11C4 = C33⋊18M4(2)φ: C4/C2 → C2 ⊆ Aut C3×C62216(C3xC6^2).11C4432,502

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