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

Direct product G=N×Q with N=C₇×C₄⋊₁D₄ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₄⋊₁D₄		224		C14xC4:1D4	448,1313

Semidirect products G=N:Q with N=C₇×C₄⋊₁D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄⋊₁D₄)⋊₁C₂ = C₂₈⋊₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):1C2	448,606
(C₇×C₄⋊₁D₄)⋊₂C₂ = C₂₈⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):2C2	448,607
(C₇×C₄⋊₁D₄)⋊₃C₂ = C₄².₇₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):3C2	448,608
(C₇×C₄⋊₁D₄)⋊₄C₂ = D₂₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	56	4	(C7xC4:1D4):4C2	448,611
(C₇×C₄⋊₁D₄)⋊₅C₂ = D₇×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	112		(C7xC4:1D4):5C2	448,1167
(C₇×C₄⋊₁D₄)⋊₆C₂ = C₄²⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	112		(C7xC4:1D4):6C2	448,1168
(C₇×C₄⋊₁D₄)⋊₇C₂ = C₄².₂₃₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):7C2	448,1169
(C₇×C₄⋊₁D₄)⋊₈C₂ = D₂₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	112		(C7xC4:1D4):8C2	448,1170
(C₇×C₄⋊₁D₄)⋊₉C₂ = Dic₁₄⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):9C2	448,1171
(C₇×C₄⋊₁D₄)⋊₁₀C₂ = C₄².₁₆₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):10C2	448,1172
(C₇×C₄⋊₁D₄)⋊₁₁C₂ = C₇×D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	56	4	(C7xC4:1D4):11C2	448,861
(C₇×C₄⋊₁D₄)⋊₁₂C₂ = C₇×C₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):12C2	448,867
(C₇×C₄⋊₁D₄)⋊₁₃C₂ = C₇×C₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):13C2	448,901
(C₇×C₄⋊₁D₄)⋊₁₄C₂ = C₇×C₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):14C2	448,904
(C₇×C₄⋊₁D₄)⋊₁₅C₂ = C₄²⋊₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	112		(C7xC4:1D4):15C2	448,1173
(C₇×C₄⋊₁D₄)⋊₁₆C₂ = C₇×C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	112		(C7xC4:1D4):16C2	448,1318
(C₇×C₄⋊₁D₄)⋊₁₇C₂ = C₇×C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):17C2	448,1323
(C₇×C₄⋊₁D₄)⋊₁₈C₂ = C₇×D₄²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	112		(C7xC4:1D4):18C2	448,1328
(C₇×C₄⋊₁D₄)⋊₁₉C₂ = C₇×Q₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4):19C2	448,1333
(C₇×C₄⋊₁D₄)⋊₂₀C₂ = C₇×C₂².₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	112		(C7xC4:1D4):20C2	448,1343
(C₇×C₄⋊₁D₄)⋊₂₁C₂ = C₇×C₂².₂₆C₂⁴	φ: trivial image	224		(C7xC4:1D4):21C2	448,1315

Non-split extensions G=N.Q with N=C₇×C₄⋊₁D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄⋊₁D₄).₁C₂ = C₂₈.₉D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).1C2	448,101
(C₇×C₄⋊₁D₄).₂C₂ = C₂₈.₁₆D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).2C2	448,604
(C₇×C₄⋊₁D₄).₃C₂ = C₄².₇₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).3C2	448,605
(C₇×C₄⋊₁D₄).₄C₂ = Dic₁₄⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).4C2	448,609
(C₇×C₄⋊₁D₄).₅C₂ = C₂₈⋊₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).5C2	448,610
(C₇×C₄⋊₁D₄).₆C₂ = C₄².₁₆₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).6C2	448,1166
(C₇×C₄⋊₁D₄).₇C₂ = C₄²⋊₃Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	56	4	(C7xC4:1D4).7C2	448,102
(C₇×C₄⋊₁D₄).₈C₂ = C₇×C₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).8C2	448,135
(C₇×C₄⋊₁D₄).₉C₂ = C₇×C₄²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	56	4	(C7xC4:1D4).9C2	448,157
(C₇×C₄⋊₁D₄).₁₀C₂ = C₇×C₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).10C2	448,868
(C₇×C₄⋊₁D₄).₁₁C₂ = C₇×C₄.₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).11C2	448,894
(C₇×C₄⋊₁D₄).₁₂C₂ = C₇×C₄².₂₉C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).12C2	448,898
(C₇×C₄⋊₁D₄).₁₃C₂ = C₇×C₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).13C2	448,900
(C₇×C₄⋊₁D₄).₁₄C₂ = C₇×C₂².₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄⋊₁D₄	224		(C7xC4:1D4).14C2	448,1342

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

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