Extensions 1→N→G→Q→1 with N=Dic₅ and Q=M₄(2)

Direct product G=N×Q with N=Dic₅ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×Dic₅		160		M4(2)xDic5	320,744

Semidirect products G=N:Q with N=Dic₅ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊M₄(2) = Dic₅⋊M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Out Dic₅	160		Dic5:M4(2)	320,1033
Dic₅⋊₂M₄(2) = Dic₅⋊₂M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₅	160		Dic5:2M4(2)	320,356
Dic₅⋊₃M₄(2) = C₄₀⋊₁₈D₄	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₅	160		Dic5:3M4(2)	320,755
Dic₅⋊₄M₄(2) = C₂₀⋊₅M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5:4M4(2)	320,464
Dic₅⋊₅M₄(2) = Dic₅⋊₅M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5:5M4(2)	320,745
Dic₅⋊₆M₄(2) = C₄×C₄.F₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5:6M4(2)	320,1015
Dic₅⋊₇M₄(2) = C₄².₁₄F₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5:7M4(2)	320,1020
Dic₅⋊₈M₄(2) = C₄×C₂².F₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5:8M4(2)	320,1088
Dic₅⋊₉M₄(2) = C₂₀⋊₈M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5:9M4(2)	320,1096
Dic₅⋊₁₀M₄(2) = D₁₀.₆C₄²	φ: trivial image	160		Dic5:10M4(2)	320,334

Non-split extensions G=N.Q with N=Dic₅ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁M₄(2) = C₁₆⋊F₅	φ: M₄(2)/C₄ → C₂² ⊆ Out Dic₅	80	4	Dic5.1M4(2)	320,183
Dic₅.₂M₄(2) = C₁₆⋊₄F₅	φ: M₄(2)/C₄ → C₂² ⊆ Out Dic₅	80	4	Dic5.2M4(2)	320,184
Dic₅.₃M₄(2) = Dic₅.M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Out Dic₅	320		Dic5.3M4(2)	320,1045
Dic₅.₄M₄(2) = C₄₀⋊Q₈	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.4M4(2)	320,328
Dic₅.₅M₄(2) = Dic₅.₅M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.5M4(2)	320,455
Dic₅.₆M₄(2) = C₄₀⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.6M4(2)	320,217
Dic₅.₇M₄(2) = C₂₀.₃₁M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.7M4(2)	320,218
Dic₅.₈M₄(2) = C₄².₁₈₂D₁₀	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.8M4(2)	320,332
Dic₅.₉M₄(2) = Dic₅.₉M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.9M4(2)	320,346
Dic₅.₁₀M₄(2) = C₄².₆F₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.10M4(2)	320,1016
Dic₅.₁₁M₄(2) = C₄².₇F₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.11M4(2)	320,1022
Dic₅.₁₂M₄(2) = Dic₅.₁₂M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.12M4(2)	320,1086
Dic₅.₁₃M₄(2) = Dic₅.₁₃M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.13M4(2)	320,1095
Dic₅.₁₄M₄(2) = Dic₅.₁₄M₄(2)	φ: trivial image	160		Dic5.14M4(2)	320,345
Dic₅.₁₅M₄(2) = C₄².₂₀₀D₁₀	φ: trivial image	160		Dic5.15M4(2)	320,460

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