Extensions 1→N→G→Q→1 with N=D₁₀ and Q=M₄(2)

Direct product G=N×Q with N=D₁₀ and Q=M₄(2)

		d	ρ	Label	ID
C₂×D₅×M₄(2)		80		C2xD5xM4(2)	320,1415

Semidirect products G=N:Q with N=D₁₀ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁M₄(2) = D₁₀⋊M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Out D₁₀	160		D10:1M4(2)	320,1032
D₁₀⋊₂M₄(2) = D₁₀⋊₂M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Out D₁₀	160		D10:2M4(2)	320,1042
D₁₀⋊₃M₄(2) = C₈⋊₉D₂₀	φ: M₄(2)/C₈ → C₂ ⊆ Out D₁₀	160		D10:3M4(2)	320,333
D₁₀⋊₄M₄(2) = D₁₀⋊₄M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₁₀	160		D10:4M4(2)	320,355
D₁₀⋊₅M₄(2) = D₁₀⋊₅M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₁₀	160		D10:5M4(2)	320,463
D₁₀⋊₆M₄(2) = C₄₀⋊D₄	φ: M₄(2)/C₈ → C₂ ⊆ Out D₁₀	160		D10:6M4(2)	320,754
D₁₀⋊₇M₄(2) = D₁₀⋊₇M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10:7M4(2)	320,353
D₁₀⋊₈M₄(2) = D₁₀⋊₈M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10:8M4(2)	320,753
D₁₀⋊₉M₄(2) = D₁₀⋊₉M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10:9M4(2)	320,1093
D₁₀⋊₁₀M₄(2) = D₁₀⋊₁₀M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10:10M4(2)	320,1094
D₁₀⋊₁₁M₄(2) = C₂×D₅⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10:11M4(2)	320,1589

Non-split extensions G=N.Q with N=D₁₀ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁M₄(2) = C₁₆⋊F₅	φ: M₄(2)/C₄ → C₂² ⊆ Out D₁₀	80	4	D10.1M4(2)	320,183
D₁₀.₂M₄(2) = C₁₆⋊₄F₅	φ: M₄(2)/C₄ → C₂² ⊆ Out D₁₀	80	4	D10.2M4(2)	320,184
D₁₀.₃M₄(2) = D₁₀.₃M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₁₀	80		D10.3M4(2)	320,230
D₁₀.₄M₄(2) = C₂×C₈⋊F₅	φ: M₄(2)/C₈ → C₂ ⊆ Out D₁₀	80		D10.4M4(2)	320,1055
D₁₀.₅M₄(2) = C₄².₁₈₂D₁₀	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.5M4(2)	320,332
D₁₀.₆M₄(2) = C₄².₂₀₂D₁₀	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.6M4(2)	320,462
D₁₀.₇M₄(2) = C₄².₅F₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.7M4(2)	320,1014
D₁₀.₈M₄(2) = C₄².₁₁F₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.8M4(2)	320,1017
D₁₀.₉M₄(2) = C₄².₁₅F₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.9M4(2)	320,1021
D₁₀.₁₀M₄(2) = C₄².₇F₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.10M4(2)	320,1022
D₁₀.₁₁M₄(2) = D₁₀.₁₁M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10.11M4(2)	320,1091
D₁₀.₁₂M₄(2) = D₅×C₈⋊C₄	φ: trivial image	160		D10.12M4(2)	320,331
D₁₀.₁₃M₄(2) = D₅×C₂²⋊C₈	φ: trivial image	80		D10.13M4(2)	320,351
D₁₀.₁₄M₄(2) = D₅×C₄⋊C₈	φ: trivial image	160		D10.14M4(2)	320,459

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