Extensions 1→N→G→Q→1 with N=D₅×C₇⋊C₃ and Q=C₂

Direct product G=N×Q with N=D₅×C₇⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂×D₅×C₇⋊C₃		70	6	C2xD5xC7:C3	420,18

Semidirect products G=N:Q with N=D₅×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₇⋊C₃)⋊C₂ = D₅×F₇	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₇⋊C₃	35	12+	(D5xC7:C3):C2	420,16

Non-split extensions G=N.Q with N=D₅×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₇⋊C₃).₁C₂ = C₃₅⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₇⋊C₃	35	12	(D5xC7:C3).1C2	420,15
(D₅×C₇⋊C₃).₂C₂ = F₅×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₇⋊C₃	35	12	(D5xC7:C3).2C2	420,14

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D5×C7⋊C3 and Q=C2