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
C₂²×C₂²⋊F₅		80		C2^2xC2^2:F5	320,1607

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊F₅⋊₁C₂² = C₂×D₁₀.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊F₅	80		C2^2:F5:1C2^2	320,1082
C₂²⋊F₅⋊₂C₂² = (C₂×D₄)⋊₇F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊F₅	40	8+	C2^2:F5:2C2^2	320,1108
C₂²⋊F₅⋊₃C₂² = C₂×C₂³⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊F₅	80		C2^2:F5:3C2^2	320,1134
C₂²⋊F₅⋊₄C₂² = C₂×D₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊F₅	40		C2^2:F5:4C2^2	320,1595
C₂²⋊F₅⋊₅C₂² = D₁₀.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊F₅	40	8+	C2^2:F5:5C2^2	320,1596

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 = C₂³⋊F₅⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊F₅	80	4	C2^2:F5.1C2^2	320,1083
C₂²⋊F₅.₂C₂² = (C₂×D₄)⋊₈F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊F₅	80	8-	C2^2:F5.2C2^2	320,1109
C₂²⋊F₅.₃C₂² = (C₂×Q₈)⋊₇F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊F₅	80	8+	C2^2:F5.3C2^2	320,1123
C₂²⋊F₅.₄C₂² = C₄○D₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊F₅	40	8	C2^2:F5.4C2^2	320,1603
C₂²⋊F₅.₅C₂² = D₅.2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂²⋊F₅	40	8	C2^2:F5.5C2^2	320,1604
C₂²⋊F₅.₆C₂² = C₂×D₁₀.C₂³	φ: trivial image	80		C2^2:F5.6C2^2	320,1592
C₂²⋊F₅.₇C₂² = D₅.2_-¹⁺⁴	φ: trivial image	80	8-	C2^2:F5.7C2^2	320,1600

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