Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₈

Direct product G=N×Q with N=C₂² and Q=C₂×C₈

		d	ρ	Label	ID
C₂³×C₈		64		C2^3xC8	64,246

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₂×C₈) = C₈×D₄	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂²	32		C2^2:1(C2xC8)	64,115
C₂²⋊₂(C₂×C₈) = C₂×C₂²⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂²	32		C2^2:2(C2xC8)	64,87

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×C₈) = D₄○C₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂²	32	2	C2^2.1(C2xC8)	64,185
C₂².₂(C₂×C₈) = C₂³⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂²	16		C2^2.2(C2xC8)	64,4
C₂².₃(C₂×C₈) = C₂².M₄(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.3(C2xC8)	64,5
C₂².₄(C₂×C₈) = C₂³.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.4(C2xC8)	64,30
C₂².₅(C₂×C₈) = C₄².₁₂C₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.5(C2xC8)	64,112
C₂².₆(C₂×C₈) = C₂².₇C₄²	central extension (φ=1)	64		C2^2.6(C2xC8)	64,17
C₂².₇(C₂×C₈) = C₁₆⋊₅C₄	central extension (φ=1)	64		C2^2.7(C2xC8)	64,27
C₂².₈(C₂×C₈) = C₂²⋊C₁₆	central extension (φ=1)	32		C2^2.8(C2xC8)	64,29
C₂².₉(C₂×C₈) = C₄⋊C₁₆	central extension (φ=1)	64		C2^2.9(C2xC8)	64,44
C₂².₁₀(C₂×C₈) = C₂×C₄⋊C₈	central extension (φ=1)	64		C2^2.10(C2xC8)	64,103
C₂².₁₁(C₂×C₈) = C₂×M₅(2)	central extension (φ=1)	32		C2^2.11(C2xC8)	64,184

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