Extensions 1→N→G→Q→1 with N=C9×C22⋊C4 and Q=C2

Direct product G=N×Q with N=C9×C22⋊C4 and Q=C2
dρLabelID
C22⋊C4×C18144C2^2:C4xC18288,165

Semidirect products G=N:Q with N=C9×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C9×C22⋊C4)⋊1C2 = C22.D36φ: C2/C1C2 ⊆ Out C9×C22⋊C4724(C9xC2^2:C4):1C2288,13
(C9×C22⋊C4)⋊2C2 = C9×C23⋊C4φ: C2/C1C2 ⊆ Out C9×C22⋊C4724(C9xC2^2:C4):2C2288,49
(C9×C22⋊C4)⋊3C2 = C223D36φ: C2/C1C2 ⊆ Out C9×C22⋊C472(C9xC2^2:C4):3C2288,92
(C9×C22⋊C4)⋊4C2 = C22.4D36φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4):4C2288,96
(C9×C22⋊C4)⋊5C2 = C23.9D18φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4):5C2288,93
(C9×C22⋊C4)⋊6C2 = D18⋊D4φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4):6C2288,94
(C9×C22⋊C4)⋊7C2 = Dic9.D4φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4):7C2288,95
(C9×C22⋊C4)⋊8C2 = C22⋊C4×D9φ: C2/C1C2 ⊆ Out C9×C22⋊C472(C9xC2^2:C4):8C2288,90
(C9×C22⋊C4)⋊9C2 = Dic94D4φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4):9C2288,91
(C9×C22⋊C4)⋊10C2 = C9×C22≀C2φ: C2/C1C2 ⊆ Out C9×C22⋊C472(C9xC2^2:C4):10C2288,170
(C9×C22⋊C4)⋊11C2 = C9×C4⋊D4φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4):11C2288,171
(C9×C22⋊C4)⋊12C2 = C9×C22.D4φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4):12C2288,173
(C9×C22⋊C4)⋊13C2 = C9×C4.4D4φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4):13C2288,174
(C9×C22⋊C4)⋊14C2 = D4×C36φ: trivial image144(C9xC2^2:C4):14C2288,168

Non-split extensions G=N.Q with N=C9×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C9×C22⋊C4).1C2 = C222Dic18φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4).1C2288,88
(C9×C22⋊C4).2C2 = C23.8D18φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4).2C2288,89
(C9×C22⋊C4).3C2 = C23.16D18φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4).3C2288,87
(C9×C22⋊C4).4C2 = C9×C22⋊Q8φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4).4C2288,172
(C9×C22⋊C4).5C2 = C9×C422C2φ: C2/C1C2 ⊆ Out C9×C22⋊C4144(C9xC2^2:C4).5C2288,176
(C9×C22⋊C4).6C2 = C9×C42⋊C2φ: trivial image144(C9xC2^2:C4).6C2288,167

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