Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×M₄(2)

Direct product G=N×Q with N=C₂² and Q=C₅×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂×C₁₀		160		M4(2)xC2xC10	320,1568

Semidirect products G=N:Q with N=C₂² and Q=C₅×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₅×M₄(2)) = C₅×C₈⋊₉D₄	φ: C₅×M₄(2)/C₄₀ → C₂ ⊆ Aut C₂²	160		C2^2:1(C5xM4(2))	320,936
C₂²⋊₂(C₅×M₄(2)) = C₅×C₂⁴.₄C₄	φ: C₅×M₄(2)/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80		C2^2:2(C5xM4(2))	320,908

Non-split extensions G=N.Q with N=C₂² and Q=C₅×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₅×M₄(2)) = C₅×D₄.C₈	φ: C₅×M₄(2)/C₄₀ → C₂ ⊆ Aut C₂²	160	2	C2^2.1(C5xM4(2))	320,155
C₂².₂(C₅×M₄(2)) = C₅×C₂³⋊C₈	φ: C₅×M₄(2)/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80		C2^2.2(C5xM4(2))	320,128
C₂².₃(C₅×M₄(2)) = C₅×C₂².M₄(2)	φ: C₅×M₄(2)/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.3(C5xM4(2))	320,129
C₂².₄(C₅×M₄(2)) = C₅×C₁₆⋊C₄	φ: C₅×M₄(2)/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.4(C5xM4(2))	320,152
C₂².₅(C₅×M₄(2)) = C₅×C₈.C₈	φ: C₅×M₄(2)/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80	2	C2^2.5(C5xM4(2))	320,169
C₂².₆(C₅×M₄(2)) = C₅×C₄².₆C₄	φ: C₅×M₄(2)/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.6(C5xM4(2))	320,933
C₂².₇(C₅×M₄(2)) = C₅×C₂².₇C₄²	central extension (φ=1)	320		C2^2.7(C5xM4(2))	320,141
C₂².₈(C₅×M₄(2)) = C₁₀×C₈⋊C₄	central extension (φ=1)	320		C2^2.8(C5xM4(2))	320,904
C₂².₉(C₅×M₄(2)) = C₁₀×C₂²⋊C₈	central extension (φ=1)	160		C2^2.9(C5xM4(2))	320,907
C₂².₁₀(C₅×M₄(2)) = C₁₀×C₄⋊C₈	central extension (φ=1)	320		C2^2.10(C5xM4(2))	320,923

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