# Extensions 1→N→G→Q→1 with N=C32⋊M4(2) and Q=C2

Direct product G=N×Q with N=C32⋊M4(2) and Q=C2
dρLabelID
C2×C32⋊M4(2)48C2xC3^2:M4(2)288,930

Semidirect products G=N:Q with N=C32⋊M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
C32⋊M4(2)⋊1C2 = C4.S3≀C2φ: C2/C1C2 ⊆ Out C32⋊M4(2)244C3^2:M4(2):1C2288,375
C32⋊M4(2)⋊2C2 = C326C4≀C2φ: C2/C1C2 ⊆ Out C32⋊M4(2)488-C3^2:M4(2):2C2288,431
C32⋊M4(2)⋊3C2 = C327C4≀C2φ: C2/C1C2 ⊆ Out C32⋊M4(2)488+C3^2:M4(2):3C2288,433
C32⋊M4(2)⋊4C2 = C32⋊D8⋊C2φ: C2/C1C2 ⊆ Out C32⋊M4(2)244C3^2:M4(2):4C2288,872
C32⋊M4(2)⋊5C2 = C32⋊Q16⋊C2φ: C2/C1C2 ⊆ Out C32⋊M4(2)484C3^2:M4(2):5C2288,874
C32⋊M4(2)⋊6C2 = C62.(C2×C4)φ: C2/C1C2 ⊆ Out C32⋊M4(2)488-C3^2:M4(2):6C2288,935
C32⋊M4(2)⋊7C2 = C12⋊S3.C4φ: C2/C1C2 ⊆ Out C32⋊M4(2)488+C3^2:M4(2):7C2288,937
C32⋊M4(2)⋊8C2 = C3⋊S3⋊M4(2)φ: trivial image244C3^2:M4(2):8C2288,931

Non-split extensions G=N.Q with N=C32⋊M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
C32⋊M4(2).1C2 = (C3×C12).D4φ: C2/C1C2 ⊆ Out C32⋊M4(2)484C3^2:M4(2).1C2288,376
C32⋊M4(2).2C2 = (C3×C24).C4φ: C2/C1C2 ⊆ Out C32⋊M4(2)484C3^2:M4(2).2C2288,418
C32⋊M4(2).3C2 = C8.(C32⋊C4)φ: C2/C1C2 ⊆ Out C32⋊M4(2)484C3^2:M4(2).3C2288,419

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