Extensions 1→N→G→Q→1 with N=D₇×C₄⋊C₄ and Q=C₂

Direct product G=N×Q with N=D₇×C₄⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₇×C₄⋊C₄		224		C2xD7xC4:C4	448,954

Semidirect products G=N:Q with N=D₇×C₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₇×C₄⋊C₄)⋊₁C₂ = D₇×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	112	(D7xC4:C4):1C2	448,303
(D₇×C₄⋊C₄)⋊₂C₂ = D₄⋊(C₄×D₇)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):2C2	448,305
(D₇×C₄⋊C₄)⋊₃C₂ = D₁₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):3C2	448,308
(D₇×C₄⋊C₄)⋊₄C₂ = D₁₄.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):4C2	448,311
(D₇×C₄⋊C₄)⋊₅C₂ = Q₈⋊(C₄×D₇)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):5C2	448,337
(D₇×C₄⋊C₄)⋊₆C₂ = D₁₄.₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):6C2	448,397
(D₇×C₄⋊C₄)⋊₇C₂ = D₁₄.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):7C2	448,416
(D₇×C₄⋊C₄)⋊₈C₂ = C₁₄.₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):8C2	448,957
(D₇×C₄⋊C₄)⋊₉C₂ = C₁₄.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):9C2	448,960
(D₇×C₄⋊C₄)⋊₁₀C₂ = C₁₄.₁₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):10C2	448,964
(D₇×C₄⋊C₄)⋊₁₁C₂ = C₄².₉₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):11C2	448,976
(D₇×C₄⋊C₄)⋊₁₂C₂ = C₄².₉₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):12C2	448,982
(D₇×C₄⋊C₄)⋊₁₃C₂ = C₄².₉₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):13C2	448,983
(D₇×C₄⋊C₄)⋊₁₄C₂ = C₄².₁₀₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):14C2	448,999
(D₇×C₄⋊C₄)⋊₁₅C₂ = D₂₈⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):15C2	448,1004
(D₇×C₄⋊C₄)⋊₁₆C₂ = C₄².₁₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):16C2	448,1011
(D₇×C₄⋊C₄)⋊₁₇C₂ = C₄².₁₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):17C2	448,1027
(D₇×C₄⋊C₄)⋊₁₈C₂ = D₂₈⋊₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):18C2	448,1032
(D₇×C₄⋊C₄)⋊₁₉C₂ = C₄².₁₃₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):19C2	448,1034
(D₇×C₄⋊C₄)⋊₂₀C₂ = D₇×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	112	(D7xC4:C4):20C2	448,1057
(D₇×C₄⋊C₄)⋊₂₁C₂ = C₁₄.₇₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):21C2	448,1061
(D₇×C₄⋊C₄)⋊₂₂C₂ = C₁₄.₇₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):22C2	448,1064
(D₇×C₄⋊C₄)⋊₂₃C₂ = C₁₄.₄₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):23C2	448,1067
(D₇×C₄⋊C₄)⋊₂₄C₂ = D₇×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	112	(D7xC4:C4):24C2	448,1079
(D₇×C₄⋊C₄)⋊₂₅C₂ = C₁₄.₁₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):25C2	448,1082
(D₇×C₄⋊C₄)⋊₂₆C₂ = D₂₈⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):26C2	448,1084
(D₇×C₄⋊C₄)⋊₂₇C₂ = C₁₄.₁₁₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):27C2	448,1088
(D₇×C₄⋊C₄)⋊₂₈C₂ = C₁₄.₅₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):28C2	448,1089
(D₇×C₄⋊C₄)⋊₂₉C₂ = C₁₄.₂₀2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):29C2	448,1091
(D₇×C₄⋊C₄)⋊₃₀C₂ = C₁₄.₂₁2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):30C2	448,1092
(D₇×C₄⋊C₄)⋊₃₁C₂ = D₇×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	112	(D7xC4:C4):31C2	448,1105
(D₇×C₄⋊C₄)⋊₃₂C₂ = C₁₄.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):32C2	448,1108
(D₇×C₄⋊C₄)⋊₃₃C₂ = C₁₄.₈₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):33C2	448,1113
(D₇×C₄⋊C₄)⋊₃₄C₂ = C₁₄.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):34C2	448,1114
(D₇×C₄⋊C₄)⋊₃₅C₂ = D₂₈⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):35C2	448,1143
(D₇×C₄⋊C₄)⋊₃₆C₂ = C₄².₁₅₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):36C2	448,1145
(D₇×C₄⋊C₄)⋊₃₇C₂ = C₄².₁₅₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):37C2	448,1146
(D₇×C₄⋊C₄)⋊₃₈C₂ = C₄².₁₅₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):38C2	448,1147
(D₇×C₄⋊C₄)⋊₃₉C₂ = C₄².₁₅₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):39C2	448,1148
(D₇×C₄⋊C₄)⋊₄₀C₂ = D₇×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	112	(D7xC4:C4):40C2	448,1156
(D₇×C₄⋊C₄)⋊₄₁C₂ = C₄².₁₆₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):41C2	448,1160
(D₇×C₄⋊C₄)⋊₄₂C₂ = C₄².₁₆₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):42C2	448,1161
(D₇×C₄⋊C₄)⋊₄₃C₂ = C₄².₁₆₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):43C2	448,1162
(D₇×C₄⋊C₄)⋊₄₄C₂ = D₂₈⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):44C2	448,1179
(D₇×C₄⋊C₄)⋊₄₅C₂ = D₂₈⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4):45C2	448,1183
(D₇×C₄⋊C₄)⋊₄₆C₂ = D₇×C₄²⋊C₂	φ: trivial image	112	(D7xC4:C4):46C2	448,973
(D₇×C₄⋊C₄)⋊₄₇C₂ = C₄×D₄×D₇	φ: trivial image	112	(D7xC4:C4):47C2	448,997

Non-split extensions G=N.Q with N=D₇×C₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₇×C₄⋊C₄).₁C₂ = D₇×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).1C2	448,335
(D₇×C₄⋊C₄).₂C₂ = D₁₄.₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).2C2	448,339
(D₇×C₄⋊C₄).₃C₂ = D₁₄.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).3C2	448,343
(D₇×C₄⋊C₄).₄C₂ = D₇×C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).4C2	448,393
(D₇×C₄⋊C₄).₅C₂ = C₈⋊(C₄×D₇)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).5C2	448,395
(D₇×C₄⋊C₄).₆C₂ = D₁₄.₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).6C2	448,396
(D₇×C₄⋊C₄).₇C₂ = D₇×C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).7C2	448,413
(D₇×C₄⋊C₄).₈C₂ = C₅₆⋊(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).8C2	448,415
(D₇×C₄⋊C₄).₉C₂ = D₁₄.₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).9C2	448,418
(D₇×C₄⋊C₄).₁₀C₂ = D₇×C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).10C2	448,1140
(D₇×C₄⋊C₄).₁₁C₂ = C₄².₁₄₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).11C2	448,1142
(D₇×C₄⋊C₄).₁₂C₂ = D₇×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).12C2	448,1176
(D₇×C₄⋊C₄).₁₃C₂ = C₄².₁₇₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₄⋊C₄	224	(D7xC4:C4).13C2	448,1182
(D₇×C₄⋊C₄).₁₄C₂ = C₄×Q₈×D₇	φ: trivial image	224	(D7xC4:C4).14C2	448,1024

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Extensions 1→N→G→Q→1 with N=D7×C4⋊C4 and Q=C2

Extensions 1→N→G→Q→1 with N=D₇×C₄⋊C₄ and Q=C₂