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Extensions 1→N→G→Q→1 with N=C3×C32⋊2C8 and Q=C2

Direct product G=N×Q with N=C3×C32⋊2C8 and Q=C2
dρLabelID
C6×C32⋊2C848C6xC3^2:2C8432,632

Semidirect products G=N:Q with N=C3×C32⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C32⋊2C8)⋊1C2 = C32⋊2D24φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8248+(C3xC3^2:2C8):1C2432,588
(C3×C32⋊2C8)⋊2C2 = C33⋊8SD16φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8248+(C3xC3^2:2C8):2C2432,589
(C3×C32⋊2C8)⋊3C2 = C3×C32⋊D8φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8244(C3xC3^2:2C8):3C2432,576
(C3×C32⋊2C8)⋊4C2 = S3×C32⋊2C8φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8488-(C3xC3^2:2C8):4C2432,570
(C3×C32⋊2C8)⋊5C2 = C33⋊5(C2×C8)φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8248+(C3xC3^2:2C8):5C2432,571
(C3×C32⋊2C8)⋊6C2 = C33⋊M4(2)φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8488-(C3xC3^2:2C8):6C2432,572
(C3×C32⋊2C8)⋊7C2 = C33⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8248+(C3xC3^2:2C8):7C2432,573
(C3×C32⋊2C8)⋊8C2 = C3×C32⋊2SD16φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8244(C3xC3^2:2C8):8C2432,577
(C3×C32⋊2C8)⋊9C2 = C3×C32⋊M4(2)φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8484(C3xC3^2:2C8):9C2432,629
(C3×C32⋊2C8)⋊10C2 = C3×C62.C4φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8244(C3xC3^2:2C8):10C2432,633
(C3×C32⋊2C8)⋊11C2 = C3×C3⋊S3⋊3C8φ: trivial image484(C3xC3^2:2C8):11C2432,628

Non-split extensions G=N.Q with N=C3×C32⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C32⋊2C8).1C2 = C3×C2.F9φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8488(C3xC3^2:2C8).1C2432,565
(C3×C32⋊2C8).2C2 = C33⋊3Q16φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8488-(C3xC3^2:2C8).2C2432,590
(C3×C32⋊2C8).3C2 = C3×C32⋊Q16φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8484(C3xC3^2:2C8).3C2432,578
(C3×C32⋊2C8).4C2 = C6.F9φ: C2/C1 → C2 ⊆ Out C3×C32⋊2C8488(C3xC3^2:2C8).4C2432,566

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