# Extensions 1→N→G→Q→1 with N=C2×C32⋊C4 and Q=C4

Direct product G=N×Q with N=C2×C32⋊C4 and Q=C4
dρLabelID
C2×C4×C32⋊C448C2xC4xC3^2:C4288,932

Semidirect products G=N:Q with N=C2×C32⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C4)⋊1C4 = C62.D4φ: C4/C2C2 ⊆ Out C2×C32⋊C448(C2xC3^2:C4):1C4288,385
(C2×C32⋊C4)⋊2C4 = C62.Q8φ: C4/C2C2 ⊆ Out C2×C32⋊C448(C2xC3^2:C4):2C4288,395
(C2×C32⋊C4)⋊3C4 = (C6×C12)⋊2C4φ: C4/C2C2 ⊆ Out C2×C32⋊C448(C2xC3^2:C4):3C4288,429
(C2×C32⋊C4)⋊4C4 = C2×C3⋊S3.Q8φ: C4/C2C2 ⊆ Out C2×C32⋊C448(C2xC3^2:C4):4C4288,882
(C2×C32⋊C4)⋊5C4 = C2×C2.PSU3(𝔽2)φ: C4/C2C2 ⊆ Out C2×C32⋊C448(C2xC3^2:C4):5C4288,894

Non-split extensions G=N.Q with N=C2×C32⋊C4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C4).1C4 = C32⋊C4⋊C8φ: C4/C2C2 ⊆ Out C2×C32⋊C4484(C2xC3^2:C4).1C4288,380
(C2×C32⋊C4).2C4 = C4.4PSU3(𝔽2)φ: C4/C2C2 ⊆ Out C2×C32⋊C4488(C2xC3^2:C4).2C4288,392
(C2×C32⋊C4).3C4 = (C3×C24)⋊C4φ: C4/C2C2 ⊆ Out C2×C32⋊C4484(C2xC3^2:C4).3C4288,415
(C2×C32⋊C4).4C4 = C4×F9φ: C4/C2C2 ⊆ Out C2×C32⋊C4368(C2xC3^2:C4).4C4288,863
(C2×C32⋊C4).5C4 = C4⋊F9φ: C4/C2C2 ⊆ Out C2×C32⋊C4368(C2xC3^2:C4).5C4288,864
(C2×C32⋊C4).6C4 = C22⋊F9φ: C4/C2C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4).6C4288,867
(C2×C32⋊C4).7C4 = C22×F9φ: C4/C2C2 ⊆ Out C2×C32⋊C436(C2xC3^2:C4).7C4288,1030
(C2×C32⋊C4).8C4 = C8×C32⋊C4φ: trivial image484(C2xC3^2:C4).8C4288,414

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