Extensions 1→N→G→Q→1 with N=C₃×D₅ and Q=M₄(2)

Direct product G=N×Q with N=C₃×D₅ and Q=M₄(2)

		d	ρ	Label	ID
C₃×D₅×M₄(2)		120	4	C3xD5xM4(2)	480,699

Semidirect products G=N:Q with N=C₃×D₅ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊M₄(2) = C₅⋊C₈⋊D₆	φ: M₄(2)/C₄ → C₂² ⊆ Out C₃×D₅	120	8	(C3xD5):M4(2)	480,993
(C₃×D₅)⋊₂M₄(2) = D₅×C₈⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Out C₃×D₅	120	4	(C3xD5):2M4(2)	480,320
(C₃×D₅)⋊₃M₄(2) = D₅×C₄.Dic₃	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out C₃×D₅	120	4	(C3xD5):3M4(2)	480,358
(C₃×D₅)⋊₄M₄(2) = C₆₀.₅₉(C₂×C₄)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out C₃×D₅	120	4	(C3xD5):4M4(2)	480,1062
(C₃×D₅)⋊₅M₄(2) = C₃×D₅⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out C₃×D₅	120	4	(C3xD5):5M4(2)	480,1049

Non-split extensions G=N.Q with N=C₃×D₅ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅).₁M₄(2) = C₃₀.₃C₄²	φ: M₄(2)/C₄ → C₂² ⊆ Out C₃×D₅	120	8	(C3xD5).1M4(2)	480,225
(C₃×D₅).₂M₄(2) = C₃₀.₄C₄²	φ: M₄(2)/C₄ → C₂² ⊆ Out C₃×D₅	120	8	(C3xD5).2M4(2)	480,226
(C₃×D₅).₃M₄(2) = C₂₄⋊F₅	φ: M₄(2)/C₈ → C₂ ⊆ Out C₃×D₅	120	4	(C3xD5).3M4(2)	480,297
(C₃×D₅).₄M₄(2) = C₃×C₈⋊F₅	φ: M₄(2)/C₈ → C₂ ⊆ Out C₃×D₅	120	4	(C3xD5).4M4(2)	480,272

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