Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₄²

Direct product G=N×Q with N=D₁₀ and Q=C₄²

		d	ρ	Label	ID
D₅×C₂×C₄²		160		D5xC2xC4^2	320,1143

Semidirect products G=N:Q with N=D₁₀ and Q=C₄²

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊C₄² = C₂²⋊C₄×F₅	φ: C₄²/C₂² → C₂² ⊆ Out D₁₀	40		D10:C4^2	320,1036
D₁₀⋊₂C₄² = D₁₀⋊₂C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10:2C4^2	320,293
D₁₀⋊₃C₄² = C₄×D₁₀⋊C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10:3C4^2	320,565
D₁₀⋊₄C₄² = C₄×C₂²⋊F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10:4C4^2	320,1101
D₁₀⋊₅C₄² = C₂²×C₄×F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10:5C4^2	320,1590

Non-split extensions G=N.Q with N=D₁₀ and Q=C₄²

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁C₄² = D₁₀.C₄²	φ: C₄²/C₂² → C₂² ⊆ Out D₁₀	160		D10.1C4^2	320,1039
D₁₀.₂C₄² = M₄(2)×F₅	φ: C₄²/C₂² → C₂² ⊆ Out D₁₀	40	8	D10.2C4^2	320,1064
D₁₀.₃C₄² = M₄(2)⋊₅F₅	φ: C₄²/C₂² → C₂² ⊆ Out D₁₀	80	8	D10.3C4^2	320,1066
D₁₀.₄C₄² = C₄×C₈⋊D₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.4C4^2	320,314
D₁₀.₅C₄² = D₁₀.₅C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.5C4^2	320,316
D₁₀.₆C₄² = D₁₀.₆C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.6C4^2	320,334
D₁₀.₇C₄² = D₁₀.₇C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.7C4^2	320,335
D₁₀.₈C₄² = C₄×D₅⋊C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.8C4^2	320,1013
D₁₀.₉C₄² = C₄².₅F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.9C4^2	320,1014
D₁₀.₁₀C₄² = C₄×C₄.F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.10C4^2	320,1015
D₁₀.₁₁C₄² = C₂×C₈×F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10.11C4^2	320,1054
D₁₀.₁₂C₄² = C₂×C₈⋊F₅	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10.12C4^2	320,1055
D₁₀.₁₃C₄² = C₂₀.₁₂C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	80	4	D10.13C4^2	320,1056
D₁₀.₁₄C₄² = C₂×D₁₀.₃Q₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Out D₁₀	80		D10.14C4^2	320,1100
D₁₀.₁₅C₄² = D₅×C₂.C₄²	φ: trivial image	160		D10.15C4^2	320,290
D₁₀.₁₆C₄² = D₅×C₄×C₈	φ: trivial image	160		D10.16C4^2	320,311
D₁₀.₁₇C₄² = D₅×C₈⋊C₄	φ: trivial image	160		D10.17C4^2	320,331

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