Extensions 1→N→G→Q→1 with N=C₂²×C₆ and Q=C₈

Direct product G=N×Q with N=C₂²×C₆ and Q=C₈

		d	ρ	Label	ID
C₂³×C₂₄		192		C2^3xC24	192,1454

Semidirect products G=N:Q with N=C₂²×C₆ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆)⋊₁C₈ = C₃×C₂³⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂²×C₆	48		(C2^2xC6):1C8	192,129
(C₂²×C₆)⋊₂C₈ = C₂⁴.₃Dic₃	φ: C₈/C₂ → C₄ ⊆ Aut C₂²×C₆	48		(C2^2xC6):2C8	192,84
(C₂²×C₆)⋊₃C₈ = C₆×C₂²⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂²×C₆	96		(C2^2xC6):3C8	192,839
(C₂²×C₆)⋊₄C₈ = C₂×C₁₂.₅₅D₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂²×C₆	96		(C2^2xC6):4C8	192,765
(C₂²×C₆)⋊₅C₈ = C₂³×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂²×C₆	192		(C2^2xC6):5C8	192,1339

Non-split extensions G=N.Q with N=C₂²×C₆ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆).₁C₈ = C₃×C₂³.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂²×C₆	48	4	(C2^2xC6).1C8	192,155
(C₂²×C₆).₂C₈ = C₂₄.D₄	φ: C₈/C₂ → C₄ ⊆ Aut C₂²×C₆	48	4	(C2^2xC6).2C8	192,112
(C₂²×C₆).₃C₈ = C₃×C₂²⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂²×C₆	96		(C2^2xC6).3C8	192,154
(C₂²×C₆).₄C₈ = C₆×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂²×C₆	96		(C2^2xC6).4C8	192,936
(C₂²×C₆).₅C₈ = C₂₄.₉₈D₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂²×C₆	96		(C2^2xC6).5C8	192,108
(C₂²×C₆).₆C₈ = C₂²×C₃⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂²×C₆	192		(C2^2xC6).6C8	192,655
(C₂²×C₆).₇C₈ = C₂×C₁₂.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂²×C₆	96		(C2^2xC6).7C8	192,656

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