Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₆

Direct product G=N×Q with N=C₂×C₄ and Q=C₆

		d	ρ	Label	ID
C₂²×C₁₂		48		C2^2xC12	48,44

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₆ = C₃×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄	24		(C2xC4):1C6	48,21
(C₂×C₄)⋊₂C₆ = C₆×D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄	24		(C2xC4):2C6	48,45
(C₂×C₄)⋊₃C₆ = C₃×C₄○D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄	24	2	(C2xC4):3C6	48,47

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₆ = C₃×C₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄	48		(C2xC4).1C6	48,22
(C₂×C₄).₂C₆ = C₃×M₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄	24	2	(C2xC4).2C6	48,24
(C₂×C₄).₃C₆ = C₆×Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₄	48		(C2xC4).3C6	48,46

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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C6