Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₅×S₃

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₅×S₃

		d	ρ	Label	ID
C₅×S₃×C₂²⋊C₄		120		C5xS3xC2^2:C4	480,759

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₅×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁(C₅×S₃) = C₅×C₂³.₆D₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	120	4	C2^2:C4:1(C5xS3)	480,125
C₂²⋊C₄⋊₂(C₅×S₃) = C₅×D₆⋊D₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	120		C2^2:C4:2(C5xS3)	480,761
C₂²⋊C₄⋊₃(C₅×S₃) = C₅×C₂³.₉D₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4:3(C5xS3)	480,762
C₂²⋊C₄⋊₄(C₅×S₃) = C₅×Dic₃⋊D₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4:4(C5xS3)	480,763
C₂²⋊C₄⋊₅(C₅×S₃) = C₅×C₂³.₁₁D₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4:5(C5xS3)	480,764
C₂²⋊C₄⋊₆(C₅×S₃) = C₅×C₂³.₂₁D₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4:6(C5xS3)	480,765
C₂²⋊C₄⋊₇(C₅×S₃) = C₅×Dic₃⋊₄D₄	φ: trivial image	240		C2^2:C4:7(C5xS3)	480,760

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₅×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁(C₅×S₃) = C₅×Dic₃.D₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4.1(C5xS3)	480,757
C₂²⋊C₄.₂(C₅×S₃) = C₅×C₂³.₈D₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out C₂²⋊C₄	240		C2^2:C4.2(C5xS3)	480,758
C₂²⋊C₄.₃(C₅×S₃) = C₅×C₂³.₁₆D₆	φ: trivial image	240		C2^2:C4.3(C5xS3)	480,756

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