Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=C₆

Direct product G=N×Q with N=C₂×D₄ and Q=C₆

		d	ρ	Label	ID
D₄×C₂×C₆		48		D4xC2xC6	96,221

Semidirect products G=N:Q with N=C₂×D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁C₆ = C₃×C₂²≀C₂	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	24		(C2xD4):1C6	96,167
(C₂×D₄)⋊₂C₆ = C₃×C₄⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4):2C6	96,168
(C₂×D₄)⋊₃C₆ = C₃×C₄⋊₁D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4):3C6	96,174
(C₂×D₄)⋊₄C₆ = C₆×D₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4):4C6	96,179
(C₂×D₄)⋊₅C₆ = C₃×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	24	4	(C2xD4):5C6	96,183
(C₂×D₄)⋊₆C₆ = C₃×2₊¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	24	4	(C2xD4):6C6	96,224
(C₂×D₄)⋊₇C₆ = C₆×C₄○D₄	φ: trivial image	48		(C2xD4):7C6	96,223

Non-split extensions G=N.Q with N=C₂×D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁C₆ = C₃×C₂³⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	24	4	(C2xD4).1C6	96,49
(C₂×D₄).₂C₆ = C₃×C₄.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	24	4	(C2xD4).2C6	96,50
(C₂×D₄).₃C₆ = C₃×D₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4).3C6	96,52
(C₂×D₄).₄C₆ = C₃×C₂².D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4).4C6	96,170
(C₂×D₄).₅C₆ = C₃×C₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4).5C6	96,171
(C₂×D₄).₆C₆ = C₆×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4).6C6	96,180
(C₂×D₄).₇C₆ = D₄×C₁₂	φ: trivial image	48		(C2xD4).7C6	96,165

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