Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×Dic₁₅

Direct product G=N×Q with N=C₄ and Q=C₂×Dic₁₅

		d	ρ	Label	ID
C₂×C₄×Dic₁₅		480		C2xC4xDic15	480,887

Semidirect products G=N:Q with N=C₄ and Q=C₂×Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₂×Dic₁₅) = D₄×Dic₁₅	φ: C₂×Dic₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	240		C4:1(C2xDic15)	480,899
C₄⋊₂(C₂×Dic₁₅) = C₂×C₆₀⋊₅C₄	φ: C₂×Dic₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4:2(C2xDic15)	480,890

Non-split extensions G=N.Q with N=C₄ and Q=C₂×Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×Dic₁₅) = D₄⋊Dic₁₅	φ: C₂×Dic₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	240		C4.1(C2xDic15)	480,192
C₄.₂(C₂×Dic₁₅) = Q₈⋊₂Dic₁₅	φ: C₂×Dic₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	480		C4.2(C2xDic15)	480,195
C₄.₃(C₂×Dic₁₅) = Q₈⋊₃Dic₁₅	φ: C₂×Dic₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	120	4	C4.3(C2xDic15)	480,197
C₄.₄(C₂×Dic₁₅) = Q₈×Dic₁₅	φ: C₂×Dic₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	480		C4.4(C2xDic15)	480,910
C₄.₅(C₂×Dic₁₅) = D₄.Dic₁₅	φ: C₂×Dic₁₅/Dic₁₅ → C₂ ⊆ Aut C₄	240	4	C4.5(C2xDic15)	480,913
C₄.₆(C₂×Dic₁₅) = C₁₂₀⋊₁₀C₄	φ: C₂×Dic₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4.6(C2xDic15)	480,177
C₄.₇(C₂×Dic₁₅) = C₁₂₀⋊₉C₄	φ: C₂×Dic₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4.7(C2xDic15)	480,178
C₄.₈(C₂×Dic₁₅) = C₄.₁₈D₆₀	φ: C₂×Dic₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₄	240	2	C4.8(C2xDic15)	480,179
C₄.₉(C₂×Dic₁₅) = C₂×C₁₅⋊₃C₁₆	central extension (φ=1)	480		C4.9(C2xDic15)	480,171
C₄.₁₀(C₂×Dic₁₅) = C₆₀.₇C₈	central extension (φ=1)	240	2	C4.10(C2xDic15)	480,172
C₄.₁₁(C₂×Dic₁₅) = C₈×Dic₁₅	central extension (φ=1)	480		C4.11(C2xDic15)	480,173
C₄.₁₂(C₂×Dic₁₅) = C₁₂₀⋊₁₃C₄	central extension (φ=1)	480		C4.12(C2xDic15)	480,175
C₄.₁₃(C₂×Dic₁₅) = C₂²×C₁₅⋊₃C₈	central extension (φ=1)	480		C4.13(C2xDic15)	480,885
C₄.₁₄(C₂×Dic₁₅) = C₂×C₆₀.₇C₄	central extension (φ=1)	240		C4.14(C2xDic15)	480,886
C₄.₁₅(C₂×Dic₁₅) = C₂³.₂₆D₃₀	central extension (φ=1)	240		C4.15(C2xDic15)	480,891

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