Extensions 1→N→G→Q→1 with N=C₅×C₇⋊C₃ and Q=C₂²

Direct product G=N×Q with N=C₅×C₇⋊C₃ and Q=C₂²

		d	ρ	Label	ID
C₂×C₁₀×C₇⋊C₃		140		C2xC10xC7:C3	420,31

Semidirect products G=N:Q with N=C₅×C₇⋊C₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₇⋊C₃)⋊C₂² = D₅×F₇	φ: C₂²/C₁ → C₂² ⊆ Out C₅×C₇⋊C₃	35	12+	(C5xC7:C3):C2^2	420,16
(C₅×C₇⋊C₃)⋊₂C₂² = C₂×C₅⋊F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₇⋊C₃	70	6+	(C5xC7:C3):2C2^2	420,19
(C₅×C₇⋊C₃)⋊₃C₂² = C₁₀×F₇	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₇⋊C₃	70	6	(C5xC7:C3):3C2^2	420,17
(C₅×C₇⋊C₃)⋊₄C₂² = C₂×D₅×C₇⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₅×C₇⋊C₃	70	6	(C5xC7:C3):4C2^2	420,18

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁