Extensions 1→N→G→Q→1 with N=C₂²×F₅ and Q=C₂²

Direct product G=N×Q with N=C₂²×F₅ and Q=C₂²

		d	ρ	Label	ID
C₂⁴×F₅		80		C2^4xF5	320,1638

Semidirect products G=N:Q with N=C₂²×F₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×F₅)⋊₁C₂² = C₂⁴⋊₄F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	40		(C2^2xF5):1C2^2	320,1138
(C₂²×F₅)⋊₂C₂² = D₁₀.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	40	8+	(C2^2xF5):2C2^2	320,1596
(C₂²×F₅)⋊₃C₂² = C₂×D₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	40		(C2^2xF5):3C2^2	320,1595
(C₂²×F₅)⋊₄C₂² = C₂²×C₂²⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5):4C2^2	320,1607

Non-split extensions G=N.Q with N=C₂²×F₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×F₅).₁C₂² = C₄²⋊₈F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	80		(C2^2xF5).1C2^2	320,1026
(C₂²×F₅).₂C₂² = C₄²⋊₉F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	80		(C2^2xF5).2C2^2	320,1027
(C₂²×F₅).₃C₂² = C₄²⋊₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	80		(C2^2xF5).3C2^2	320,1028
(C₂²×F₅).₄C₂² = D₁₀⋊(C₄⋊C₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	40		(C2^2xF5).4C2^2	320,1037
(C₂²×F₅).₅C₂² = C₂₀⋊(C₄⋊C₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	80		(C2^2xF5).5C2^2	320,1050
(C₂²×F₅).₆C₂² = (C₂²×C₄)⋊₇F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	80		(C2^2xF5).6C2^2	320,1102
(C₂²×F₅).₇C₂² = D₁₀⋊₆(C₄⋊C₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	80		(C2^2xF5).7C2^2	320,1103
(C₂²×F₅).₈C₂² = (C₂×F₅)⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	40		(C2^2xF5).8C2^2	320,1117
(C₂²×F₅).₉C₂² = C₂.(D₄×F₅)	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	80		(C2^2xF5).9C2^2	320,1118
(C₂²×F₅).₁₀C₂² = (C₂×F₅)⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	80		(C2^2xF5).10C2^2	320,1128
(C₂²×F₅).₁₁C₂² = D₅.2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂²×F₅	40	8	(C2^2xF5).11C2^2	320,1604
(C₂²×F₅).₁₂C₂² = C₄²⋊₄F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5).12C2^2	320,1024
(C₂²×F₅).₁₃C₂² = C₄×C₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5).13C2^2	320,1025
(C₂²×F₅).₁₄C₂² = C₁₀.(C₄×D₄)	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5).14C2^2	320,1038
(C₂²×F₅).₁₅C₂² = C₄⋊C₄⋊₅F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5).15C2^2	320,1049
(C₂²×F₅).₁₆C₂² = C₂×D₁₀.₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5).16C2^2	320,1100
(C₂²×F₅).₁₇C₂² = C₄×C₂²⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5).17C2^2	320,1101
(C₂²×F₅).₁₈C₂² = C₂²×C₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5).18C2^2	320,1591
(C₂²×F₅).₁₉C₂² = C₂×D₁₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	80		(C2^2xF5).19C2^2	320,1592
(C₂²×F₅).₂₀C₂² = C₄○D₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²×F₅	40	8	(C2^2xF5).20C2^2	320,1603
(C₂²×F₅).₂₁C₂² = C₄²×F₅	φ: trivial image	80		(C2^2xF5).21C2^2	320,1023
(C₂²×F₅).₂₂C₂² = C₂²⋊C₄×F₅	φ: trivial image	40		(C2^2xF5).22C2^2	320,1036
(C₂²×F₅).₂₃C₂² = C₄⋊C₄×F₅	φ: trivial image	80		(C2^2xF5).23C2^2	320,1048
(C₂²×F₅).₂₄C₂² = C₂²×C₄×F₅	φ: trivial image	80		(C2^2xF5).24C2^2	320,1590
(C₂²×F₅).₂₅C₂² = C₂×Q₈×F₅	φ: trivial image	80		(C2^2xF5).25C2^2	320,1599

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Extensions 1→N→G→Q→1 with N=C22×F5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂²×F₅ and Q=C₂²