Extensions 1→N→G→Q→1 with N=C₇×C₄.₄D₄ and Q=C₂

Direct product G=N×Q with N=C₇×C₄.₄D₄ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₄.₄D₄		224		C14xC4.4D4	448,1309

Semidirect products G=N:Q with N=C₇×C₄.₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄.₄D₄)⋊₁C₂ = D₂₈.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):1C2	448,591
(C₇×C₄.₄D₄)⋊₂C₂ = C₄².₆₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):2C2	448,592
(C₇×C₄.₄D₄)⋊₃C₂ = C₄².₂₁₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):3C2	448,593
(C₇×C₄.₄D₄)⋊₄C₂ = C₄²⋊₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112	4	(C7xC4.4D4):4C2	448,595
(C₇×C₄.₄D₄)⋊₅C₂ = D₂₈.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112	4	(C7xC4.4D4):5C2	448,596
(C₇×C₄.₄D₄)⋊₆C₂ = C₄².₂₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):6C2	448,1121
(C₇×C₄.₄D₄)⋊₇C₂ = C₄².₁₃₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):7C2	448,1122
(C₇×C₄.₄D₄)⋊₈C₂ = C₄².₁₃₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):8C2	448,1123
(C₇×C₄.₄D₄)⋊₉C₂ = D₇×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):9C2	448,1126
(C₇×C₄.₄D₄)⋊₁₀C₂ = C₄²⋊₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):10C2	448,1127
(C₇×C₄.₄D₄)⋊₁₁C₂ = C₄².₁₄₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):11C2	448,1128
(C₇×C₄.₄D₄)⋊₁₂C₂ = D₂₈⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):12C2	448,1129
(C₇×C₄.₄D₄)⋊₁₃C₂ = Dic₁₄⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):13C2	448,1130
(C₇×C₄.₄D₄)⋊₁₄C₂ = C₄²⋊₂₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):14C2	448,1131
(C₇×C₄.₄D₄)⋊₁₅C₂ = C₄²⋊₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):15C2	448,1132
(C₇×C₄.₄D₄)⋊₁₆C₂ = C₄².₂₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):16C2	448,1133
(C₇×C₄.₄D₄)⋊₁₇C₂ = C₄².₁₄₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):17C2	448,1134
(C₇×C₄.₄D₄)⋊₁₈C₂ = C₄².₁₄₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):18C2	448,1135
(C₇×C₄.₄D₄)⋊₁₉C₂ = C₄²⋊₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):19C2	448,1136
(C₇×C₄.₄D₄)⋊₂₀C₂ = C₄².₁₄₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):20C2	448,1137
(C₇×C₄.₄D₄)⋊₂₁C₂ = C₇×D₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112	4	(C7xC4.4D4):21C2	448,862
(C₇×C₄.₄D₄)⋊₂₂C₂ = C₇×D₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112	4	(C7xC4.4D4):22C2	448,863
(C₇×C₄.₄D₄)⋊₂₃C₂ = C₇×D₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):23C2	448,871
(C₇×C₄.₄D₄)⋊₂₄C₂ = C₇×C₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):24C2	448,903
(C₇×C₄.₄D₄)⋊₂₅C₂ = C₇×C₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):25C2	448,904
(C₇×C₄.₄D₄)⋊₂₆C₂ = C₇×C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):26C2	448,1318
(C₇×C₄.₄D₄)⋊₂₇C₂ = C₇×C₂³.₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):27C2	448,1319
(C₇×C₄.₄D₄)⋊₂₈C₂ = C₇×C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):28C2	448,1321
(C₇×C₄.₄D₄)⋊₂₉C₂ = C₇×C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):29C2	448,1325
(C₇×C₄.₄D₄)⋊₃₀C₂ = C₇×D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):30C2	448,1329
(C₇×C₄.₄D₄)⋊₃₁C₂ = C₇×Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):31C2	448,1331
(C₇×C₄.₄D₄)⋊₃₂C₂ = C₇×C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):32C2	448,1334
(C₇×C₄.₄D₄)⋊₃₃C₂ = C₇×C₂².₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):33C2	448,1338
(C₇×C₄.₄D₄)⋊₃₄C₂ = C₇×C₂².₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):34C2	448,1342
(C₇×C₄.₄D₄)⋊₃₅C₂ = C₇×C₂⁴⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112		(C7xC4.4D4):35C2	448,1344
(C₇×C₄.₄D₄)⋊₃₆C₂ = C₇×C₂².₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4):36C2	448,1345
(C₇×C₄.₄D₄)⋊₃₇C₂ = C₇×C₂³.₃₆C₂³	φ: trivial image	224		(C7xC4.4D4):37C2	448,1312
(C₇×C₄.₄D₄)⋊₃₈C₂ = C₇×C₂².₂₆C₂⁴	φ: trivial image	224		(C7xC4.4D4):38C2	448,1315

Non-split extensions G=N.Q with N=C₇×C₄.₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄.₄D₄).₁C₂ = C₄².Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112	4	(C7xC4.4D4).1C2	448,99
(C₇×C₄.₄D₄).₂C₂ = C₄².₆₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).2C2	448,588
(C₇×C₄.₄D₄).₃C₂ = C₄².₆₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).3C2	448,589
(C₇×C₄.₄D₄).₄C₂ = C₄².₂₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).4C2	448,590
(C₇×C₄.₄D₄).₅C₂ = C₄².₆₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).5C2	448,594
(C₇×C₄.₄D₄).₆C₂ = C₄².₁₃₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).6C2	448,1124
(C₇×C₄.₄D₄).₇C₂ = C₄².₁₄₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).7C2	448,1125
(C₇×C₄.₄D₄).₈C₂ = C₄².₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).8C2	448,97
(C₇×C₄.₄D₄).₉C₂ = C₄²⋊₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112	4	(C7xC4.4D4).9C2	448,98
(C₇×C₄.₄D₄).₁₀C₂ = C₇×C₄².C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).10C2	448,133
(C₇×C₄.₄D₄).₁₁C₂ = C₇×C₄²⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112	4	(C7xC4.4D4).11C2	448,158
(C₇×C₄.₄D₄).₁₂C₂ = C₇×C₄².C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	112	4	(C7xC4.4D4).12C2	448,159
(C₇×C₄.₄D₄).₁₃C₂ = C₇×Q₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).13C2	448,872
(C₇×C₄.₄D₄).₁₄C₂ = C₇×C₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).14C2	448,896
(C₇×C₄.₄D₄).₁₅C₂ = C₇×C₄².₂₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).15C2	448,897
(C₇×C₄.₄D₄).₁₆C₂ = C₇×C₈.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).16C2	448,905
(C₇×C₄.₄D₄).₁₇C₂ = C₇×C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).17C2	448,1339
(C₇×C₄.₄D₄).₁₈C₂ = C₇×C₂².₅₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄.₄D₄	224		(C7xC4.4D4).18C2	448,1346

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Extensions 1→N→G→Q→1 with N=C7×C4.4D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₇×C₄.₄D₄ and Q=C₂