Extensions 1→N→G→Q→1 with N=Q₈×C₁₃ and Q=C₂²

Direct product G=N×Q with N=Q₈×C₁₃ and Q=C₂²

		d	ρ	Label	ID
Q₈×C₂×C₂₆		416		Q8xC2xC26	416,229

Semidirect products G=N:Q with N=Q₈×C₁₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₃)⋊₁C₂² = SD₁₆×D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₃	104	4	(Q8xC13):1C2^2	416,134
(Q₈×C₁₃)⋊₂C₂² = Q₈⋊D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₃	104	4+	(Q8xC13):2C2^2	416,135
(Q₈×C₁₃)⋊₃C₂² = C₂×Q₈⋊D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208		(Q8xC13):3C2^2	416,162
(Q₈×C₁₃)⋊₄C₂² = D₄⋊D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	104	4+	(Q8xC13):4C2^2	416,170
(Q₈×C₁₃)⋊₅C₂² = C₂×Q₈×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208		(Q8xC13):5C2^2	416,219
(Q₈×C₁₃)⋊₆C₂² = C₂×D₅₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208		(Q8xC13):6C2^2	416,220
(Q₈×C₁₃)⋊₇C₂² = C₄○D₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	104	4	(Q8xC13):7C2^2	416,222
(Q₈×C₁₃)⋊₈C₂² = D₄⋊₈D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	104	4+	(Q8xC13):8C2^2	416,223
(Q₈×C₁₃)⋊₉C₂² = SD₁₆×C₂₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208		(Q8xC13):9C2^2	416,194
(Q₈×C₁₃)⋊₁₀C₂² = C₁₃×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	104	4	(Q8xC13):10C2^2	416,197
(Q₈×C₁₃)⋊₁₁C₂² = C₄○D₄×C₂₆	φ: trivial image	208		(Q8xC13):11C2^2	416,230
(Q₈×C₁₃)⋊₁₂C₂² = C₁₃×2₊¹⁺⁴	φ: trivial image	104	4	(Q8xC13):12C2^2	416,231

Non-split extensions G=N.Q with N=Q₈×C₁₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₃).₁C₂² = D₄.D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₃	208	4-	(Q8xC13).1C2^2	416,136
(Q₈×C₁₃).₂C₂² = D₂₆.₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₃	208	4	(Q8xC13).2C2^2	416,137
(Q₈×C₁₃).₃C₂² = Q₁₆×D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₃	208	4-	(Q8xC13).3C2^2	416,138
(Q₈×C₁₃).₄C₂² = Q₁₆⋊D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₃	208	4	(Q8xC13).4C2^2	416,139
(Q₈×C₁₃).₅C₂² = D₁₀₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₁₃	208	4+	(Q8xC13).5C2^2	416,140
(Q₈×C₁₃).₆C₂² = Q₈.D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208	4	(Q8xC13).6C2^2	416,163
(Q₈×C₁₃).₇C₂² = C₂×C₁₃⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	416		(Q8xC13).7C2^2	416,164
(Q₈×C₁₃).₈C₂² = C₅₂.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208	4	(Q8xC13).8C2^2	416,171
(Q₈×C₁₃).₉C₂² = D₄.₉D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208	4-	(Q8xC13).9C2^2	416,172
(Q₈×C₁₃).₁₀C₂² = Q₈.₁₀D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208	4	(Q8xC13).10C2^2	416,221
(Q₈×C₁₃).₁₁C₂² = D₄.₁₀D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208	4-	(Q8xC13).11C2^2	416,224
(Q₈×C₁₃).₁₂C₂² = Q₁₆×C₂₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	416		(Q8xC13).12C2^2	416,195
(Q₈×C₁₃).₁₃C₂² = C₁₃×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208	2	(Q8xC13).13C2^2	416,196
(Q₈×C₁₃).₁₄C₂² = C₁₃×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₁₃	208	4	(Q8xC13).14C2^2	416,198
(Q₈×C₁₃).₁₅C₂² = C₁₃×2_-¹⁺⁴	φ: trivial image	208	4	(Q8xC13).15C2^2	416,232

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁