Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×Dic₃

Direct product G=N×Q with N=C₂² and Q=C₅×Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₁₀		240		Dic3xC2xC10	240,173

Semidirect products G=N:Q with N=C₂² and Q=C₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅×Dic₃) = C₅×A₄⋊C₄	φ: C₅×Dic₃/C₁₀ → S₃ ⊆ Aut C₂²	60	3	C2^2:(C5xDic3)	240,104
C₂²⋊₂(C₅×Dic₃) = C₅×C₆.D₄	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₂²	120		C2^2:2(C5xDic3)	240,64

Non-split extensions G=N.Q with N=C₂² and Q=C₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅×Dic₃) = C₅×C₄.Dic₃	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Aut C₂²	120	2	C2^2.(C5xDic3)	240,55
C₂².₂(C₅×Dic₃) = C₁₀×C₃⋊C₈	central extension (φ=1)	240		C2^2.2(C5xDic3)	240,54

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Extensions 1→N→G→Q→1 with N=C22 and Q=C5×Dic3