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Extensions 1→N→G→Q→1 with N=C2×S3≀C2 and Q=C2

Direct product G=N×Q with N=C2×S3≀C2 and Q=C2
dρLabelID
C22×S3≀C224C2^2xS3wrC2288,1031

Semidirect products G=N:Q with N=C2×S3≀C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×S3≀C2)⋊1C2 = S32⋊D4φ: C2/C1 → C2 ⊆ Out C2×S3≀C2244(C2xS3wrC2):1C2288,878
(C2×S3≀C2)⋊2C2 = C4⋊S3≀C2φ: C2/C1 → C2 ⊆ Out C2×S3≀C2248+(C2xS3wrC2):2C2288,879
(C2×S3≀C2)⋊3C2 = D6≀C2φ: C2/C1 → C2 ⊆ Out C2×S3≀C2124+(C2xS3wrC2):3C2288,889
(C2×S3≀C2)⋊4C2 = C62⋊D4φ: C2/C1 → C2 ⊆ Out C2×S3≀C2248+(C2xS3wrC2):4C2288,890

Non-split extensions G=N.Q with N=C2×S3≀C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×S3≀C2).1C2 = C2.AΓL1(𝔽9)φ: C2/C1 → C2 ⊆ Out C2×S3≀C2248+(C2xS3wrC2).1C2288,841
(C2×S3≀C2).2C2 = C2×AΓL1(𝔽9)φ: C2/C1 → C2 ⊆ Out C2×S3≀C2188+(C2xS3wrC2).2C2288,1027
(C2×S3≀C2).3C2 = C4×S3≀C2φ: trivial image244(C2xS3wrC2).3C2288,877

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