Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃×C₈

Direct product G=N×Q with N=C₂² and Q=S₃×C₈

		d	ρ	Label	ID
S₃×C₂²×C₈		96		S3xC2^2xC8	192,1295

Semidirect products G=N:Q with N=C₂² and Q=S₃×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(S₃×C₈) = C₈×S₄	φ: S₃×C₈/C₈ → S₃ ⊆ Aut C₂²	24	3	C2^2:(S3xC8)	192,958
C₂²⋊₂(S₃×C₈) = C₃⋊D₄⋊C₈	φ: S₃×C₈/C₃⋊C₈ → C₂ ⊆ Aut C₂²	96		C2^2:2(S3xC8)	192,284
C₂²⋊₃(S₃×C₈) = C₈×C₃⋊D₄	φ: S₃×C₈/C₂₄ → C₂ ⊆ Aut C₂²	96		C2^2:3(S3xC8)	192,668
C₂²⋊₄(S₃×C₈) = S₃×C₂²⋊C₈	φ: S₃×C₈/C₄×S₃ → C₂ ⊆ Aut C₂²	48		C2^2:4(S3xC8)	192,283

Non-split extensions G=N.Q with N=C₂² and Q=S₃×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(S₃×C₈) = C₁₆.₁₂D₆	φ: S₃×C₈/C₃⋊C₈ → C₂ ⊆ Aut C₂²	96	4	C2^2.1(S3xC8)	192,466
C₂².₂(S₃×C₈) = D₁₂.₄C₈	φ: S₃×C₈/C₂₄ → C₂ ⊆ Aut C₂²	96	2	C2^2.2(S3xC8)	192,460
C₂².₃(S₃×C₈) = (C₂²×S₃)⋊C₈	φ: S₃×C₈/C₄×S₃ → C₂ ⊆ Aut C₂²	48		C2^2.3(S3xC8)	192,27
C₂².₄(S₃×C₈) = (C₂×Dic₃)⋊C₈	φ: S₃×C₈/C₄×S₃ → C₂ ⊆ Aut C₂²	96		C2^2.4(S3xC8)	192,28
C₂².₅(S₃×C₈) = C₈.₂₅D₁₂	φ: S₃×C₈/C₄×S₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.5(S3xC8)	192,73
C₂².₆(S₃×C₈) = Dic₃.₅M₄(2)	φ: S₃×C₈/C₄×S₃ → C₂ ⊆ Aut C₂²	96		C2^2.6(S3xC8)	192,277
C₂².₇(S₃×C₈) = S₃×M₅(2)	φ: S₃×C₈/C₄×S₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.7(S3xC8)	192,465
C₂².₈(S₃×C₈) = Dic₃×C₁₆	central extension (φ=1)	192		C2^2.8(S3xC8)	192,59
C₂².₉(S₃×C₈) = Dic₃⋊C₁₆	central extension (φ=1)	192		C2^2.9(S3xC8)	192,60
C₂².₁₀(S₃×C₈) = C₄₈⋊₁₀C₄	central extension (φ=1)	192		C2^2.10(S3xC8)	192,61
C₂².₁₁(S₃×C₈) = D₆⋊C₁₆	central extension (φ=1)	96		C2^2.11(S3xC8)	192,66
C₂².₁₂(S₃×C₈) = (C₂×C₂₄)⋊₅C₄	central extension (φ=1)	192		C2^2.12(S3xC8)	192,109
C₂².₁₃(S₃×C₈) = S₃×C₂×C₁₆	central extension (φ=1)	96		C2^2.13(S3xC8)	192,458
C₂².₁₄(S₃×C₈) = C₂×D₆.C₈	central extension (φ=1)	96		C2^2.14(S3xC8)	192,459
C₂².₁₅(S₃×C₈) = Dic₃×C₂×C₈	central extension (φ=1)	192		C2^2.15(S3xC8)	192,657
C₂².₁₆(S₃×C₈) = C₂×Dic₃⋊C₈	central extension (φ=1)	192		C2^2.16(S3xC8)	192,658
C₂².₁₇(S₃×C₈) = C₂×D₆⋊C₈	central extension (φ=1)	96		C2^2.17(S3xC8)	192,667

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