Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×Dic₅

Direct product G=N×Q with N=C₂² and Q=C₃×Dic₅

		d	ρ	Label	ID
C₂×C₆×Dic₅		240		C2xC6xDic5	240,163

Semidirect products G=N:Q with N=C₂² and Q=C₃×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×Dic₅) = A₄×Dic₅	φ: C₃×Dic₅/Dic₅ → C₃ ⊆ Aut C₂²	60	6-	C2^2:(C3xDic5)	240,110
C₂²⋊₂(C₃×Dic₅) = C₃×C₂³.D₅	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₂²	120		C2^2:2(C3xDic5)	240,48

Non-split extensions G=N.Q with N=C₂² and Q=C₃×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×Dic₅) = C₃×C₄.Dic₅	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Aut C₂²	120	2	C2^2.(C3xDic5)	240,39
C₂².₂(C₃×Dic₅) = C₆×C₅⋊₂C₈	central extension (φ=1)	240		C2^2.2(C3xDic5)	240,38

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×Dic5