Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×C₈

Direct product G=N×Q with N=C₆ and Q=C₂×C₈

		d	ρ	Label	ID
C₂²×C₂₄		96		C2^2xC24	96,176

Semidirect products G=N:Q with N=C₆ and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₂×C₈) = S₃×C₂×C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₆	48		C6:1(C2xC8)	96,106
C₆⋊₂(C₂×C₈) = C₂²×C₃⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6:2(C2xC8)	96,127

Non-split extensions G=N.Q with N=C₆ and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂×C₈) = S₃×C₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₆	48	2	C6.1(C2xC8)	96,4
C₆.₂(C₂×C₈) = D₆.C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₆	48	2	C6.2(C2xC8)	96,5
C₆.₃(C₂×C₈) = C₈×Dic₃	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₆	96		C6.3(C2xC8)	96,20
C₆.₄(C₂×C₈) = Dic₃⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₆	96		C6.4(C2xC8)	96,21
C₆.₅(C₂×C₈) = D₆⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₆	48		C6.5(C2xC8)	96,27
C₆.₆(C₂×C₈) = C₄×C₃⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6.6(C2xC8)	96,9
C₆.₇(C₂×C₈) = C₁₂⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6.7(C2xC8)	96,11
C₆.₈(C₂×C₈) = C₂×C₃⋊C₁₆	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6.8(C2xC8)	96,18
C₆.₉(C₂×C₈) = C₁₂.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₆	48	2	C6.9(C2xC8)	96,19
C₆.₁₀(C₂×C₈) = C₁₂.₅₅D₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₆	48		C6.10(C2xC8)	96,37
C₆.₁₁(C₂×C₈) = C₃×C₂²⋊C₈	central extension (φ=1)	48		C6.11(C2xC8)	96,48
C₆.₁₂(C₂×C₈) = C₃×C₄⋊C₈	central extension (φ=1)	96		C6.12(C2xC8)	96,55
C₆.₁₃(C₂×C₈) = C₃×M₅(2)	central extension (φ=1)	48	2	C6.13(C2xC8)	96,60

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