Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×D₁₂

Direct product G=N×Q with N=C₂² and Q=C₅×D₁₂

		d	ρ	Label	ID
C₂×C₁₀×D₁₂		240		C2xC10xD12	480,1152

Semidirect products G=N:Q with N=C₂² and Q=C₅×D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅×D₁₂) = C₅×C₄⋊S₄	φ: C₅×D₁₂/C₂₀ → S₃ ⊆ Aut C₂²	60	6	C2^2:(C5xD12)	480,1015
C₂²⋊₂(C₅×D₁₂) = C₅×C₁₂⋊₇D₄	φ: C₅×D₁₂/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:2(C5xD12)	480,809
C₂²⋊₃(C₅×D₁₂) = C₅×D₆⋊D₄	φ: C₅×D₁₂/S₃×C₁₀ → C₂ ⊆ Aut C₂²	120		C2^2:3(C5xD12)	480,761

Non-split extensions G=N.Q with N=C₂² and Q=C₅×D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₅×D₁₂) = C₅×C₄○D₂₄	φ: C₅×D₁₂/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.1(C5xD12)	480,783
C₂².₂(C₅×D₁₂) = C₅×C₂³.₆D₆	φ: C₅×D₁₂/S₃×C₁₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.2(C5xD12)	480,125
C₂².₃(C₅×D₁₂) = C₅×D₁₂⋊C₄	φ: C₅×D₁₂/S₃×C₁₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.3(C5xD12)	480,144
C₂².₄(C₅×D₁₂) = C₅×C₂³.₂₁D₆	φ: C₅×D₁₂/S₃×C₁₀ → C₂ ⊆ Aut C₂²	240		C2^2.4(C5xD12)	480,765
C₂².₅(C₅×D₁₂) = C₅×C₈⋊D₆	φ: C₅×D₁₂/S₃×C₁₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.5(C5xD12)	480,787
C₂².₆(C₅×D₁₂) = C₅×C₈.D₆	φ: C₅×D₁₂/S₃×C₁₀ → C₂ ⊆ Aut C₂²	240	4	C2^2.6(C5xD12)	480,788
C₂².₇(C₅×D₁₂) = C₅×C₂.Dic₁₂	central extension (φ=1)	480		C2^2.7(C5xD12)	480,135
C₂².₈(C₅×D₁₂) = C₅×C₈⋊Dic₃	central extension (φ=1)	480		C2^2.8(C5xD12)	480,136
C₂².₉(C₅×D₁₂) = C₅×C₂₄⋊₁C₄	central extension (φ=1)	480		C2^2.9(C5xD12)	480,137
C₂².₁₀(C₅×D₁₂) = C₅×C₂.D₂₄	central extension (φ=1)	240		C2^2.10(C5xD12)	480,140
C₂².₁₁(C₅×D₁₂) = C₅×C₆.C₄²	central extension (φ=1)	480		C2^2.11(C5xD12)	480,150
C₂².₁₂(C₅×D₁₂) = C₁₀×C₂₄⋊C₂	central extension (φ=1)	240		C2^2.12(C5xD12)	480,781
C₂².₁₃(C₅×D₁₂) = C₁₀×D₂₄	central extension (φ=1)	240		C2^2.13(C5xD12)	480,782
C₂².₁₄(C₅×D₁₂) = C₁₀×Dic₁₂	central extension (φ=1)	480		C2^2.14(C5xD12)	480,784
C₂².₁₅(C₅×D₁₂) = C₁₀×C₄⋊Dic₃	central extension (φ=1)	480		C2^2.15(C5xD12)	480,804
C₂².₁₆(C₅×D₁₂) = C₁₀×D₆⋊C₄	central extension (φ=1)	240		C2^2.16(C5xD12)	480,806

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