Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₁₅

Direct product G=N×Q with N=C₂×C₄ and Q=D₁₅

		d	ρ	Label	ID
C₂×C₄×D₁₅		120		C2xC4xD15	240,176

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₁₅ = D₃₀⋊₃C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₄	120		(C2xC4):1D15	240,75
(C₂×C₄)⋊₂D₁₅ = C₂×D₆₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₄	120		(C2xC4):2D15	240,177
(C₂×C₄)⋊₃D₁₅ = D₆₀⋊₁₁C₂	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₄	120	2	(C2xC4):3D15	240,178

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₁₅ = C₃₀.₄Q₈	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).1D15	240,73
(C₂×C₄).₂D₁₅ = C₆₀.₇C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₄	120	2	(C2xC4).2D15	240,71
(C₂×C₄).₃D₁₅ = C₆₀⋊₅C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).3D15	240,74
(C₂×C₄).₄D₁₅ = C₂×Dic₃₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).4D15	240,175
(C₂×C₄).₅D₁₅ = C₂×C₁₅⋊₃C₈	central extension (φ=1)	240		(C2xC4).5D15	240,70
(C₂×C₄).₆D₁₅ = C₄×Dic₁₅	central extension (φ=1)	240		(C2xC4).6D15	240,72

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