Extensions 1→N→G→Q→1 with N=D₅₈ and Q=C₄

Direct product G=N×Q with N=D₅₈ and Q=C₄

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

Semidirect products G=N:Q with N=D₅₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₈⋊₁C₄ = D₅₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₈	232		D58:1C4	464,14
D₅₈⋊₂C₄ = D₂₉.D₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₈	116	4+	D58:2C4	464,34
D₅₈⋊₃C₄ = C₂²×C₂₉⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₈	116		D58:3C4	464,49

Non-split extensions G=N.Q with N=D₅₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₈.₁C₄ = C₈⋊D₂₉	φ: C₄/C₂ → C₂ ⊆ Out D₅₈	232	2	D58.1C4	464,5
D₅₈.₂C₄ = D₂₉⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₅₈	232	4	D58.2C4	464,28
D₅₈.₃C₄ = C₁₁₆.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅₈	232	4	D58.3C4	464,29
D₅₈.₄C₄ = C₈×D₂₉	φ: trivial image	232	2	D58.4C4	464,4

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁