Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅⋊S₄

Direct product G=N×Q with N=C₂² and Q=C₅⋊S₄

		d	ρ	Label	ID
C₂²×C₅⋊S₄		60		C2^2xC5:S4	480,1199

Semidirect products G=N:Q with N=C₂² and Q=C₅⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅⋊S₄) = C₂⁴⋊₄D₁₅	φ: C₅⋊S₄/C₂×C₁₀ → S₃ ⊆ Aut C₂²	40	6	C2^2:(C5:S4)	480,1201
C₂²⋊₂(C₅⋊S₄) = C₂⁴⋊₂D₁₅	φ: C₅⋊S₄/C₅×A₄ → C₂ ⊆ Aut C₂²	60	6	C2^2:2(C5:S4)	480,1034

Non-split extensions G=N.Q with N=C₂² and Q=C₅⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅⋊S₄) = C₄²⋊D₁₅	φ: C₅⋊S₄/C₂×C₁₀ → S₃ ⊆ Aut C₂²	60	6+	C2^2.(C5:S4)	480,258
C₂².₂(C₅⋊S₄) = Q₈.D₃₀	φ: C₅⋊S₄/C₅×A₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.2(C5:S4)	480,1029
C₂².₃(C₅⋊S₄) = Q₈⋊Dic₁₅	central extension (φ=1)	160		C2^2.3(C5:S4)	480,260
C₂².₄(C₅⋊S₄) = C₂×Q₈.D₁₅	central extension (φ=1)	160		C2^2.4(C5:S4)	480,1027
C₂².₅(C₅⋊S₄) = C₂×Q₈⋊D₁₅	central extension (φ=1)	80		C2^2.5(C5:S4)	480,1028
C₂².₆(C₅⋊S₄) = C₂×A₄⋊Dic₅	central extension (φ=1)	120		C2^2.6(C5:S4)	480,1033

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