Extensions 1→N→G→Q→1 with N=C₄×D₂₉ and Q=C₂

Direct product G=N×Q with N=C₄×D₂₉ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₂₉		232		C2xC4xD29	464,36

Semidirect products G=N:Q with N=C₄×D₂₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₂₉)⋊₁C₂ = D₄×D₂₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₉	116	4+	(C4xD29):1C2	464,39
(C₄×D₂₉)⋊₂C₂ = D₄⋊₂D₂₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₉	232	4-	(C4xD29):2C2	464,40
(C₄×D₂₉)⋊₃C₂ = Q₈⋊₂D₂₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₉	232	4+	(C4xD29):3C2	464,42
(C₄×D₂₉)⋊₄C₂ = D₁₁₆⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₉	232	2	(C4xD29):4C2	464,38

Non-split extensions G=N.Q with N=C₄×D₂₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₂₉).₁C₂ = Q₈×D₂₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₉	232	4-	(C4xD29).1C2	464,41
(C₄×D₂₉).₂C₂ = C₈⋊D₂₉	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₉	232	2	(C4xD29).2C2	464,5
(C₄×D₂₉).₃C₂ = C₁₁₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₉	232	4	(C4xD29).3C2	464,29
(C₄×D₂₉).₄C₂ = C₁₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₉	116	4	(C4xD29).4C2	464,31
(C₄×D₂₉).₅C₂ = D₂₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₉	232	4	(C4xD29).5C2	464,28
(C₄×D₂₉).₆C₂ = C₄×C₂₉⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₉	116	4	(C4xD29).6C2	464,30
(C₄×D₂₉).₇C₂ = C₈×D₂₉	φ: trivial image	232	2	(C4xD29).7C2	464,4

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁