Extensions 1→N→G→Q→1 with N=C₄×D₁₃ and Q=C₂²

Direct product G=N×Q with N=C₄×D₁₃ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₄×D₁₃		208		C2^2xC4xD13	416,213

Semidirect products G=N:Q with N=C₄×D₁₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₃)⋊₁C₂² = D₄⋊₆D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	104	4	(C4xD13):1C2^2	416,218
(C₄×D₁₃)⋊₂C₂² = D₄⋊₈D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	104	4+	(C4xD13):2C2^2	416,223
(C₄×D₁₃)⋊₃C₂² = C₂×D₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104		(C4xD13):3C2^2	416,216
(C₄×D₁₃)⋊₄C₂² = C₂×D₄⋊₂D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13):4C2^2	416,217
(C₄×D₁₃)⋊₅C₂² = C₂×D₅₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13):5C2^2	416,220
(C₄×D₁₃)⋊₆C₂² = C₂×D₅₂⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13):6C2^2	416,215
(C₄×D₁₃)⋊₇C₂² = C₄○D₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13):7C2^2	416,222

Non-split extensions G=N.Q with N=C₄×D₁₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₃).₁C₂² = D₈⋊D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	104	4	(C4xD13).1C2^2	416,132
(C₄×D₁₃).₂C₂² = Q₈⋊D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	104	4+	(C4xD13).2C2^2	416,135
(C₄×D₁₃).₃C₂² = D₄.D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	208	4-	(C4xD13).3C2^2	416,136
(C₄×D₁₃).₄C₂² = Q₁₆⋊D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	208	4	(C4xD13).4C2^2	416,139
(C₄×D₁₃).₅C₂² = Q₈.₁₀D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	208	4	(C4xD13).5C2^2	416,221
(C₄×D₁₃).₆C₂² = D₄.₁₀D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	208	4-	(C4xD13).6C2^2	416,224
(C₄×D₁₃).₇C₂² = D₅₂⋊₁C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	104	8+	(C4xD13).7C2^2	416,82
(C₄×D₁₃).₈C₂² = Dic₂₆⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	104	8-	(C4xD13).8C2^2	416,83
(C₄×D₁₃).₉C₂² = D₁₃.Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	104	8-	(C4xD13).9C2^2	416,84
(C₄×D₁₃).₁₀C₂² = D₅₂⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	104	8+	(C4xD13).10C2^2	416,85
(C₄×D₁₃).₁₁C₂² = Dic₂₆.C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	208	8-	(C4xD13).11C2^2	416,205
(C₄×D₁₃).₁₂C₂² = D₄×C₁₃⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	52	8+	(C4xD13).12C2^2	416,206
(C₄×D₁₃).₁₃C₂² = D₅₂.C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	208	8+	(C4xD13).13C2^2	416,207
(C₄×D₁₃).₁₄C₂² = Q₈×C₁₃⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₁₃	104	8-	(C4xD13).14C2^2	416,208
(C₄×D₁₃).₁₅C₂² = D₈×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4+	(C4xD13).15C2^2	416,131
(C₄×D₁₃).₁₆C₂² = D₈⋊₃D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208	4-	(C4xD13).16C2^2	416,133
(C₄×D₁₃).₁₇C₂² = SD₁₆×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).17C2^2	416,134
(C₄×D₁₃).₁₈C₂² = D₂₆.₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208	4	(C4xD13).18C2^2	416,137
(C₄×D₁₃).₁₉C₂² = Q₁₆×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208	4-	(C4xD13).19C2^2	416,138
(C₄×D₁₃).₂₀C₂² = D₁₀₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208	4+	(C4xD13).20C2^2	416,140
(C₄×D₁₃).₂₁C₂² = C₂×Q₈×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13).21C2^2	416,219
(C₄×D₁₃).₂₂C₂² = C₂×C₈⋊D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13).22C2^2	416,121
(C₄×D₁₃).₂₃C₂² = D₅₂.₃C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208	2	(C4xD13).23C2^2	416,122
(C₄×D₁₃).₂₄C₂² = D₅₂.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208	4	(C4xD13).24C2^2	416,128
(C₄×D₁₃).₂₅C₂² = D₂₆.₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).25C2^2	416,68
(C₄×D₁₃).₂₆C₂² = D₁₃.D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).26C2^2	416,69
(C₄×D₁₃).₂₇C₂² = C₁₀₄.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208	4	(C4xD13).27C2^2	416,70
(C₄×D₁₃).₂₈C₂² = C₁₀₄.₁C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208	4	(C4xD13).28C2^2	416,71
(C₄×D₁₃).₂₉C₂² = C₂×C₅₂.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13).29C2^2	416,200
(C₄×D₁₃).₃₀C₂² = C₂×C₅₂⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104		(C4xD13).30C2^2	416,203
(C₄×D₁₃).₃₁C₂² = C₈×C₁₃⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).31C2^2	416,66
(C₄×D₁₃).₃₂C₂² = C₁₀₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).32C2^2	416,67
(C₄×D₁₃).₃₃C₂² = C₂×D₁₃⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	208		(C4xD13).33C2^2	416,199
(C₄×D₁₃).₃₄C₂² = D₁₃⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).34C2^2	416,201
(C₄×D₁₃).₃₅C₂² = C₂×C₄×C₁₃⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104		(C4xD13).35C2^2	416,202
(C₄×D₁₃).₃₆C₂² = D₂₆.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).36C2^2	416,204
(C₄×D₁₃).₃₇C₂² = C₂×C₈×D₁₃	φ: trivial image	208		(C4xD13).37C2^2	416,120
(C₄×D₁₃).₃₈C₂² = M₄(2)×D₁₃	φ: trivial image	104	4	(C4xD13).38C2^2	416,127

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Extensions 1→N→G→Q→1 with N=C4×D13 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄×D₁₃ and Q=C₂²