Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₄²

Direct product G=N×Q with N=Dic₅ and Q=C₄²

		d	ρ	Label	ID
C₄²×Dic₅		320		C4^2xDic5	320,557

Semidirect products G=N:Q with N=Dic₅ and Q=C₄²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊C₄² = C₄⋊C₄×F₅	φ: C₄²/C₂² → C₂² ⊆ Out Dic₅	80		Dic5:C4^2	320,1048
Dic₅⋊₂C₄² = Dic₅⋊₂C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	320		Dic5:2C4^2	320,276
Dic₅⋊₃C₄² = C₄×C₁₀.D₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	320		Dic5:3C4^2	320,558
Dic₅⋊₄C₄² = C₄²×F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	80		Dic5:4C4^2	320,1023
Dic₅⋊₅C₄² = C₄×C₄⋊F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	80		Dic5:5C4^2	320,1025

Non-split extensions G=N.Q with N=Dic₅ and Q=C₄²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁C₄² = Dic₅.C₄²	φ: C₄²/C₂² → C₂² ⊆ Out Dic₅	160		Dic5.1C4^2	320,1029
Dic₅.₂C₄² = M₄(2)×F₅	φ: C₄²/C₂² → C₂² ⊆ Out Dic₅	40	8	Dic5.2C4^2	320,1064
Dic₅.₃C₄² = M₄(2)⋊₅F₅	φ: C₄²/C₂² → C₂² ⊆ Out Dic₅	80	8	Dic5.3C4^2	320,1066
Dic₅.₄C₄² = C₄×C₈⋊D₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.4C4^2	320,314
Dic₅.₅C₄² = D₁₀.₅C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.5C4^2	320,316
Dic₅.₆C₄² = D₁₀.₆C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.6C4^2	320,334
Dic₅.₇C₄² = D₁₀.₇C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.7C4^2	320,335
Dic₅.₈C₄² = C₄²⋊₄F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	80		Dic5.8C4^2	320,1024
Dic₅.₉C₄² = C₂×C₈×F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	80		Dic5.9C4^2	320,1054
Dic₅.₁₀C₄² = C₂×C₈⋊F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	80		Dic5.10C4^2	320,1055
Dic₅.₁₁C₄² = C₂₀.₁₂C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	80	4	Dic5.11C4^2	320,1056
Dic₅.₁₂C₄² = C₂×C₄×C₅⋊C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	320		Dic5.12C4^2	320,1084
Dic₅.₁₃C₄² = C₂×C₁₀.C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	320		Dic5.13C4^2	320,1087
Dic₅.₁₄C₄² = C₄×C₂².F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.14C4^2	320,1088
Dic₅.₁₅C₄² = Dic₅.₁₅C₄²	φ: trivial image	320		Dic5.15C4^2	320,275
Dic₅.₁₆C₄² = D₅×C₄×C₈	φ: trivial image	160		Dic5.16C4^2	320,311
Dic₅.₁₇C₄² = D₅×C₈⋊C₄	φ: trivial image	160		Dic5.17C4^2	320,331

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