Extensions 1→N→G→Q→1 with N=C₄² and Q=C₅×S₃

Direct product G=N×Q with N=C₄² and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₄×C₂₀		240		S3xC4xC20	480,750

Semidirect products G=N:Q with N=C₄² and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊(C₅×S₃) = C₅×C₄²⋊S₃	φ: C₅×S₃/C₅ → S₃ ⊆ Aut C₄²	60	3	C4^2:(C5xS3)	480,254
C₄²⋊₂(C₅×S₃) = C₅×C₄²⋊₂S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:2(C5xS3)	480,751
C₄²⋊₃(C₅×S₃) = C₅×C₄²⋊₃S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:3(C5xS3)	480,755
C₄²⋊₄(C₅×S₃) = C₅×C₄²⋊₄S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	120	2	C4^2:4(C5xS3)	480,124
C₄²⋊₅(C₅×S₃) = C₂₀×D₁₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:5(C5xS3)	480,752
C₄²⋊₆(C₅×S₃) = C₅×C₄⋊D₁₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:6(C5xS3)	480,753
C₄²⋊₇(C₅×S₃) = C₅×C₄²⋊₇S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:7(C5xS3)	480,754

Non-split extensions G=N.Q with N=C₄² and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁(C₅×S₃) = C₅×C₄².S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.1(C5xS3)	480,122
C₄².₂(C₅×S₃) = C₅×C₁₂⋊C₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.2(C5xS3)	480,123
C₄².₃(C₅×S₃) = C₂₀×Dic₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.3(C5xS3)	480,747
C₄².₄(C₅×S₃) = C₅×C₁₂⋊₂Q₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.4(C5xS3)	480,748
C₄².₅(C₅×S₃) = C₅×C₁₂.₆Q₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.5(C5xS3)	480,749
C₄².₆(C₅×S₃) = C₂₀×C₃⋊C₈	central extension (φ=1)	480		C4^2.6(C5xS3)	480,121

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