Extensions 1→N→G→Q→1 with N=D₄×C₁₃ and Q=C₂²

Direct product G=N×Q with N=D₄×C₁₃ and Q=C₂²

		d	ρ	Label	ID
D₄×C₂×C₂₆		208		D4xC2xC26	416,228

Semidirect products G=N:Q with N=D₄×C₁₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₃)⋊₁C₂² = D₈×D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₃	104	4+	(D4xC13):1C2^2	416,131
(D₄×C₁₃)⋊₂C₂² = D₈⋊D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₃	104	4	(D4xC13):2C2^2	416,132
(D₄×C₁₃)⋊₃C₂² = C₂×D₄⋊D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	208		(D4xC13):3C2^2	416,152
(D₄×C₁₃)⋊₄C₂² = D₄⋊D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	104	4+	(D4xC13):4C2^2	416,170
(D₄×C₁₃)⋊₅C₂² = C₂×D₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	104		(D4xC13):5C2^2	416,216
(D₄×C₁₃)⋊₆C₂² = C₂×D₄⋊₂D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	208		(D4xC13):6C2^2	416,217
(D₄×C₁₃)⋊₇C₂² = D₄⋊₆D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	104	4	(D4xC13):7C2^2	416,218
(D₄×C₁₃)⋊₈C₂² = C₄○D₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	104	4	(D4xC13):8C2^2	416,222
(D₄×C₁₃)⋊₉C₂² = D₄⋊₈D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	104	4+	(D4xC13):9C2^2	416,223
(D₄×C₁₃)⋊₁₀C₂² = D₈×C₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	208		(D4xC13):10C2^2	416,193
(D₄×C₁₃)⋊₁₁C₂² = C₁₃×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	104	4	(D4xC13):11C2^2	416,197
(D₄×C₁₃)⋊₁₂C₂² = C₄○D₄×C₂₆	φ: trivial image	208		(D4xC13):12C2^2	416,230
(D₄×C₁₃)⋊₁₃C₂² = C₁₃×2₊¹⁺⁴	φ: trivial image	104	4	(D4xC13):13C2^2	416,231

Non-split extensions G=N.Q with N=D₄×C₁₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₃).₁C₂² = D₈⋊₃D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₃	208	4-	(D4xC13).1C2^2	416,133
(D₄×C₁₃).₂C₂² = SD₁₆×D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₃	104	4	(D4xC13).2C2^2	416,134
(D₄×C₁₃).₃C₂² = Q₈⋊D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₃	104	4+	(D4xC13).3C2^2	416,135
(D₄×C₁₃).₄C₂² = D₄.D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₃	208	4-	(D4xC13).4C2^2	416,136
(D₄×C₁₃).₅C₂² = D₂₆.₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₁₃	208	4	(D4xC13).5C2^2	416,137
(D₄×C₁₃).₆C₂² = D₅₂⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	104	4	(D4xC13).6C2^2	416,153
(D₄×C₁₃).₇C₂² = C₂×D₄.D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	208		(D4xC13).7C2^2	416,154
(D₄×C₁₃).₈C₂² = C₅₂.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	208	4	(D4xC13).8C2^2	416,171
(D₄×C₁₃).₉C₂² = D₄.₉D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	208	4-	(D4xC13).9C2^2	416,172
(D₄×C₁₃).₁₀C₂² = D₄.₁₀D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	208	4-	(D4xC13).10C2^2	416,224
(D₄×C₁₃).₁₁C₂² = SD₁₆×C₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	208		(D4xC13).11C2^2	416,194
(D₄×C₁₃).₁₂C₂² = C₁₃×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	208	2	(D4xC13).12C2^2	416,196
(D₄×C₁₃).₁₃C₂² = C₁₃×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₁₃	208	4	(D4xC13).13C2^2	416,198
(D₄×C₁₃).₁₄C₂² = C₁₃×2_-¹⁺⁴	φ: trivial image	208	4	(D4xC13).14C2^2	416,232

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