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Extensions 1→N→G→Q→1 with N=C2×C36 and Q=C4

Direct product G=N×Q with N=C2×C36 and Q=C4
dρLabelID
C2×C4×C36288C2xC4xC36288,164

Semidirect products G=N:Q with N=C2×C36 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C36)⋊1C4 = C23⋊2Dic9φ: C4/C1 → C4 ⊆ Aut C2×C36724(C2xC36):1C4288,41
(C2×C36)⋊2C4 = C9×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C2×C36724(C2xC36):2C4288,49
(C2×C36)⋊3C4 = C18.C42φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36):3C4288,38
(C2×C36)⋊4C4 = C9×C2.C42φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36):4C4288,45
(C2×C36)⋊5C4 = C2×C4⋊Dic9φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36):5C4288,135
(C2×C36)⋊6C4 = C23.26D18φ: C4/C2 → C2 ⊆ Aut C2×C36144(C2xC36):6C4288,136
(C2×C36)⋊7C4 = C2×C4×Dic9φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36):7C4288,132
(C2×C36)⋊8C4 = C4⋊C4×C18φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36):8C4288,166
(C2×C36)⋊9C4 = C9×C42⋊C2φ: C4/C2 → C2 ⊆ Aut C2×C36144(C2xC36):9C4288,167

Non-split extensions G=N.Q with N=C2×C36 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C36).1C4 = C36.9D4φ: C4/C1 → C4 ⊆ Aut C2×C361444(C2xC36).1C4288,42
(C2×C36).2C4 = C9×C4.10D4φ: C4/C1 → C4 ⊆ Aut C2×C361444(C2xC36).2C4288,51
(C2×C36).3C4 = C42.D9φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36).3C4288,10
(C2×C36).4C4 = C36⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36).4C4288,11
(C2×C36).5C4 = C36.55D4φ: C4/C2 → C2 ⊆ Aut C2×C36144(C2xC36).5C4288,37
(C2×C36).6C4 = C9×C8⋊C4φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36).6C4288,47
(C2×C36).7C4 = C9×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C36144(C2xC36).7C4288,48
(C2×C36).8C4 = C9×C4⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36).8C4288,55
(C2×C36).9C4 = C2×C4.Dic9φ: C4/C2 → C2 ⊆ Aut C2×C36144(C2xC36).9C4288,131
(C2×C36).10C4 = C36.C8φ: C4/C2 → C2 ⊆ Aut C2×C361442(C2xC36).10C4288,19
(C2×C36).11C4 = C4×C9⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36).11C4288,9
(C2×C36).12C4 = C2×C9⋊C16φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36).12C4288,18
(C2×C36).13C4 = C22×C9⋊C8φ: C4/C2 → C2 ⊆ Aut C2×C36288(C2xC36).13C4288,130
(C2×C36).14C4 = C9×M5(2)φ: C4/C2 → C2 ⊆ Aut C2×C361442(C2xC36).14C4288,60
(C2×C36).15C4 = M4(2)×C18φ: C4/C2 → C2 ⊆ Aut C2×C36144(C2xC36).15C4288,180

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