Extensions 1→N→G→Q→1 with N=C₁₃⋊₂C₈ and Q=C₄

Direct product G=N×Q with N=C₁₃⋊₂C₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₁₃⋊₂C₈		416		C4xC13:2C8	416,9

Semidirect products G=N:Q with N=C₁₃⋊₂C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₃⋊₂C₈⋊₁C₄ = C₂₆.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	416		C13:2C8:1C4	416,14
C₁₃⋊₂C₈⋊₂C₄ = C₅₂.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	416		C13:2C8:2C4	416,15
C₁₃⋊₂C₈⋊₃C₄ = C₂₆.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	416		C13:2C8:3C4	416,10
C₁₃⋊₂C₈⋊₄C₄ = C₁₀₄⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	416		C13:2C8:4C4	416,22
C₁₃⋊₂C₈⋊₅C₄ = D₂₆.₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	104	4	C13:2C8:5C4	416,68
C₁₃⋊₂C₈⋊₆C₄ = D₁₃.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	104	4	C13:2C8:6C4	416,69
C₁₃⋊₂C₈⋊₇C₄ = C₈×C₁₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	104	4	C13:2C8:7C4	416,66
C₁₃⋊₂C₈⋊₈C₄ = C₁₀₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	104	4	C13:2C8:8C4	416,67
C₁₃⋊₂C₈⋊₉C₄ = C₈×Dic₁₃	φ: trivial image	416		C13:2C8:9C4	416,20

Non-split extensions G=N.Q with N=C₁₃⋊₂C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₃⋊₂C₈.₁C₄ = C₅₂.₅₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.1C4	416,29
C₁₃⋊₂C₈.₂C₄ = C₂₀₈⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	2	C13:2C8.2C4	416,5
C₁₃⋊₂C₈.₃C₄ = C₁₀₄.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.3C4	416,70
C₁₃⋊₂C₈.₄C₄ = C₁₀₄.₁C₄	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.4C4	416,71
C₁₃⋊₂C₈.₅C₄ = C₂×C₁₃⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	416		C13:2C8.5C4	416,72
C₁₃⋊₂C₈.₆C₄ = C₅₂.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₁₃⋊₂C₈	208	4	C13:2C8.6C4	416,73
C₁₃⋊₂C₈.₇C₄ = C₁₆×D₁₃	φ: trivial image	208	2	C13:2C8.7C4	416,4

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁