Extensions 1→N→G→Q→1 with N=D₂₆ and Q=C₂³

Direct product G=N×Q with N=D₂₆ and Q=C₂³

		d	ρ	Label	ID
C₂⁴×D₁₃		208		C2^4xD13	416,234

Semidirect products G=N:Q with N=D₂₆ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₆⋊₁C₂³ = C₂²×D₅₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	208		D26:1C2^3	416,214
D₂₆⋊₂C₂³ = C₂×D₄×D₁₃	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	104		D26:2C2^3	416,216
D₂₆⋊₃C₂³ = C₂²×C₁₃⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	208		D26:3C2^3	416,226

Non-split extensions G=N.Q with N=D₂₆ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₆.₁C₂³ = C₂×D₅₂⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	208		D26.1C2^3	416,215
D₂₆.₂C₂³ = C₂×D₄⋊₂D₁₃	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	208		D26.2C2^3	416,217
D₂₆.₃C₂³ = D₄⋊₆D₂₆	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	104	4	D26.3C2^3	416,218
D₂₆.₄C₂³ = C₂×D₅₂⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	208		D26.4C2^3	416,220
D₂₆.₅C₂³ = Q₈.₁₀D₂₆	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	208	4	D26.5C2^3	416,221
D₂₆.₆C₂³ = C₄○D₄×D₁₃	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	104	4	D26.6C2^3	416,222
D₂₆.₇C₂³ = D₄⋊₈D₂₆	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	104	4+	D26.7C2^3	416,223
D₂₆.₈C₂³ = D₄.₁₀D₂₆	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	208	4-	D26.8C2^3	416,224
D₂₆.₉C₂³ = C₂×C₄×C₁₃⋊C₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	104		D26.9C2^3	416,202
D₂₆.₁₀C₂³ = C₂×C₅₂⋊C₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	104		D26.10C2^3	416,203
D₂₆.₁₁C₂³ = D₂₆.C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	104	4	D26.11C2^3	416,204
D₂₆.₁₂C₂³ = D₄×C₁₃⋊C₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	52	8+	D26.12C2^3	416,206
D₂₆.₁₃C₂³ = Q₈×C₁₃⋊C₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	104	8-	D26.13C2^3	416,208
D₂₆.₁₄C₂³ = C₂×D₁₃.D₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	104		D26.14C2^3	416,211
D₂₆.₁₅C₂³ = C₂³×C₁₃⋊C₄	φ: C₂³/C₂² → C₂ ⊆ Out D₂₆	104		D26.15C2^3	416,233
D₂₆.₁₆C₂³ = C₂²×C₄×D₁₃	φ: trivial image	208		D26.16C2^3	416,213
D₂₆.₁₇C₂³ = C₂×Q₈×D₁₃	φ: trivial image	208		D26.17C2^3	416,219

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁