Extensions 1→N→G→Q→1 with N=C₅×He₃ and Q=C₂

Direct product G=N×Q with N=C₅×He₃ and Q=C₂

		d	ρ	Label	ID
C₁₀×He₃		90	3	C10xHe3	270,21

Semidirect products G=N:Q with N=C₅×He₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×He₃)⋊₁C₂ = He₃⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×He₃	45	6+	(C5xHe3):1C2	270,14
(C₅×He₃)⋊₂C₂ = C₃²⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×He₃	45	6	(C5xHe3):2C2	270,19
(C₅×He₃)⋊₃C₂ = D₅×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×He₃	45	6	(C5xHe3):3C2	270,6
(C₅×He₃)⋊₄C₂ = C₅×C₃²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×He₃	45	6	(C5xHe3):4C2	270,10
(C₅×He₃)⋊₅C₂ = C₅×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×He₃	45	3	(C5xHe3):5C2	270,17

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁