Extensions 1→N→G→Q→1 with N=C₁₃⋊C₈ and Q=C₂²

Direct product G=N×Q with N=C₁₃⋊C₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₃⋊C₈		416		C2^2xC13:C8	416,209

Semidirect products G=N:Q with N=C₁₃⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₃⋊C₈⋊₁C₂² = C₂×C₅₂.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊C₈	208		C13:C8:1C2^2	416,200
C₁₃⋊C₈⋊₂C₂² = D₁₃⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊C₈	104	4	C13:C8:2C2^2	416,201
C₁₃⋊C₈⋊₃C₂² = C₂×C₁₃⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊C₈	208		C13:C8:3C2^2	416,210
C₁₃⋊C₈⋊₄C₂² = C₂×D₁₃⋊C₈	φ: trivial image	208		C13:C8:4C2^2	416,199

Non-split extensions G=N.Q with N=C₁₃⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₃⋊C₈.₁C₂² = Dic₂₆.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊C₈	208	8-	C13:C8.1C2^2	416,205
C₁₃⋊C₈.₂C₂² = D₅₂.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₃⋊C₈	208	8+	C13:C8.2C2^2	416,207

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁