Extensions 1→N→G→Q→1 with N=C₄×D₅ and Q=C₆

Direct product G=N×Q with N=C₄×D₅ and Q=C₆

		d	ρ	Label	ID
D₅×C₂×C₁₂		120		D5xC2xC12	240,156

Semidirect products G=N:Q with N=C₄×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅)⋊₁C₆ = C₃×D₄×D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₅	60	4	(C4xD5):1C6	240,159
(C₄×D₅)⋊₂C₆ = C₃×D₄⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5):2C6	240,160
(C₄×D₅)⋊₃C₆ = C₃×Q₈⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5):3C6	240,162
(C₄×D₅)⋊₄C₆ = C₃×C₄○D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₅	120	2	(C4xD5):4C6	240,158

Non-split extensions G=N.Q with N=C₄×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅).₁C₆ = C₃×Q₈×D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5).1C6	240,161
(C₄×D₅).₂C₆ = C₃×C₈⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₅	120	2	(C4xD5).2C6	240,34
(C₄×D₅).₃C₆ = C₃×C₄.F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5).3C6	240,112
(C₄×D₅).₄C₆ = C₃×C₄⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₅	60	4	(C4xD5).4C6	240,114
(C₄×D₅).₅C₆ = C₃×D₅⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₅	120	4	(C4xD5).5C6	240,111
(C₄×D₅).₆C₆ = C₁₂×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₅	60	4	(C4xD5).6C6	240,113
(C₄×D₅).₇C₆ = D₅×C₂₄	φ: trivial image	120	2	(C4xD5).7C6	240,33

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