Extensions 1→N→G→Q→1 with N=C₁₀ and Q=M₅(2)

Direct product G=N×Q with N=C₁₀ and Q=M₅(2)

		d	ρ	Label	ID
C₁₀×M₅(2)		160		C10xM5(2)	320,1004

Semidirect products G=N:Q with N=C₁₀ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁M₅(2) = C₂×C₈.F₅	φ: M₅(2)/C₈ → C₄ ⊆ Aut C₁₀	160		C10:1M5(2)	320,1052
C₁₀⋊₂M₅(2) = C₂×C₂₀.C₈	φ: M₅(2)/C₂×C₄ → C₄ ⊆ Aut C₁₀	160		C10:2M5(2)	320,1081
C₁₀⋊₃M₅(2) = C₂×C₈₀⋊C₂	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₀	160		C10:3M5(2)	320,527
C₁₀⋊₄M₅(2) = C₂×C₂₀.₄C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₀	160		C10:4M5(2)	320,724

Non-split extensions G=N.Q with N=C₁₀ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁M₅(2) = C₄₀.C₈	φ: M₅(2)/C₈ → C₄ ⊆ Aut C₁₀	320		C10.1M5(2)	320,224
C₁₀.₂M₅(2) = D₁₀⋊C₁₆	φ: M₅(2)/C₈ → C₄ ⊆ Aut C₁₀	160		C10.2M5(2)	320,225
C₁₀.₃M₅(2) = C₁₀.M₅(2)	φ: M₅(2)/C₈ → C₄ ⊆ Aut C₁₀	320		C10.3M5(2)	320,226
C₁₀.₄M₅(2) = C₂₀⋊C₁₆	φ: M₅(2)/C₂×C₄ → C₄ ⊆ Aut C₁₀	320		C10.4M5(2)	320,196
C₁₀.₅M₅(2) = C₄².₄F₅	φ: M₅(2)/C₂×C₄ → C₄ ⊆ Aut C₁₀	320		C10.5M5(2)	320,197
C₁₀.₆M₅(2) = C₁₀.₆M₅(2)	φ: M₅(2)/C₂×C₄ → C₄ ⊆ Aut C₁₀	160		C10.6M5(2)	320,249
C₁₀.₇M₅(2) = C₄₀.₈₈D₄	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₀	320		C10.7M5(2)	320,59
C₁₀.₈M₅(2) = C₈₀⋊₁₇C₄	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₀	320		C10.8M5(2)	320,60
C₁₀.₉M₅(2) = D₁₀⋊₁C₁₆	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₀	160		C10.9M5(2)	320,65
C₁₀.₁₀M₅(2) = C₄₀.₁₀C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₀	320		C10.10M5(2)	320,19
C₁₀.₁₁M₅(2) = C₂₀⋊₃C₁₆	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₀	320		C10.11M5(2)	320,20
C₁₀.₁₂M₅(2) = C₄₀.₉₁D₄	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₀	160		C10.12M5(2)	320,107
C₁₀.₁₃M₅(2) = C₅×C₁₆⋊₅C₄	central extension (φ=1)	320		C10.13M5(2)	320,151
C₁₀.₁₄M₅(2) = C₅×C₂²⋊C₁₆	central extension (φ=1)	160		C10.14M5(2)	320,153
C₁₀.₁₅M₅(2) = C₅×C₄⋊C₁₆	central extension (φ=1)	320		C10.15M5(2)	320,168

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