Extensions 1→N→G→Q→1 with N=C2×C4×D9 and Q=C2

Direct product G=N×Q with N=C2×C4×D9 and Q=C2
dρLabelID
C22×C4×D9144C2^2xC4xD9288,353

Semidirect products G=N:Q with N=C2×C4×D9 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×D9)⋊1C2 = C4⋊D36φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):1C2288,105
(C2×C4×D9)⋊2C2 = C362D4φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):2C2288,148
(C2×C4×D9)⋊3C2 = C2×D4×D9φ: C2/C1C2 ⊆ Out C2×C4×D972(C2xC4xD9):3C2288,356
(C2×C4×D9)⋊4C2 = C2×D42D9φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):4C2288,357
(C2×C4×D9)⋊5C2 = C2×Q83D9φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):5C2288,360
(C2×C4×D9)⋊6C2 = C4○D4×D9φ: C2/C1C2 ⊆ Out C2×C4×D9724(C2xC4xD9):6C2288,362
(C2×C4×D9)⋊7C2 = C4×D36φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):7C2288,83
(C2×C4×D9)⋊8C2 = C22⋊C4×D9φ: C2/C1C2 ⊆ Out C2×C4×D972(C2xC4xD9):8C2288,90
(C2×C4×D9)⋊9C2 = Dic94D4φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):9C2288,91
(C2×C4×D9)⋊10C2 = C23.9D18φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):10C2288,93
(C2×C4×D9)⋊11C2 = D18⋊D4φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):11C2288,94
(C2×C4×D9)⋊12C2 = D36⋊C4φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):12C2288,103
(C2×C4×D9)⋊13C2 = D18.D4φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):13C2288,104
(C2×C4×D9)⋊14C2 = C4×C9⋊D4φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):14C2288,138
(C2×C4×D9)⋊15C2 = C2×D365C2φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9):15C2288,355

Non-split extensions G=N.Q with N=C2×C4×D9 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×D9).1C2 = C4⋊C47D9φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9).1C2288,102
(C2×C4×D9).2C2 = D182Q8φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9).2C2288,107
(C2×C4×D9).3C2 = M4(2)×D9φ: C2/C1C2 ⊆ Out C2×C4×D9724(C2xC4xD9).3C2288,116
(C2×C4×D9).4C2 = D183Q8φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9).4C2288,156
(C2×C4×D9).5C2 = C2×Q8×D9φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9).5C2288,359
(C2×C4×D9).6C2 = D18⋊C8φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9).6C2288,27
(C2×C4×D9).7C2 = C422D9φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9).7C2288,82
(C2×C4×D9).8C2 = C4⋊C4×D9φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9).8C2288,101
(C2×C4×D9).9C2 = D18⋊Q8φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9).9C2288,106
(C2×C4×D9).10C2 = C2×C8⋊D9φ: C2/C1C2 ⊆ Out C2×C4×D9144(C2xC4xD9).10C2288,111
(C2×C4×D9).11C2 = C42×D9φ: trivial image144(C2xC4xD9).11C2288,81
(C2×C4×D9).12C2 = C2×C8×D9φ: trivial image144(C2xC4xD9).12C2288,110

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