Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₃×D₅

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₃×D₅

		d	ρ	Label	ID
C₃×D₅×C₂²⋊C₄		120		C3xD5xC2^2:C4	480,673

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₃×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁(C₃×D₅) = C₃×C₂³.₁D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	120	4	C2^2:C4:1(C3xD5)	480,84
C₂²⋊C₄⋊₂(C₃×D₅) = C₃×C₂²⋊D₂₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	120		C2^2:C4:2(C3xD5)	480,675
C₂²⋊C₄⋊₃(C₃×D₅) = C₃×D₁₀.₁₂D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4:3(C3xD5)	480,676
C₂²⋊C₄⋊₄(C₃×D₅) = C₃×D₁₀⋊D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4:4(C3xD5)	480,677
C₂²⋊C₄⋊₅(C₃×D₅) = C₃×Dic₅.₅D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4:5(C3xD5)	480,678
C₂²⋊C₄⋊₆(C₃×D₅) = C₃×C₂².D₂₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4:6(C3xD5)	480,679
C₂²⋊C₄⋊₇(C₃×D₅) = C₃×Dic₅⋊₄D₄	φ: trivial image	240		C2^2:C4:7(C3xD5)	480,674

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₃×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁(C₃×D₅) = C₃×Dic₅.₁₄D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4.1(C3xD5)	480,671
C₂²⋊C₄.₂(C₃×D₅) = C₃×C₂³.D₁₀	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4.2(C3xD5)	480,672
C₂²⋊C₄.₃(C₃×D₅) = C₃×C₂³.₁₁D₁₀	φ: trivial image	240		C2^2:C4.3(C3xD5)	480,670

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