Extensions 1→N→G→Q→1 with N=C₄².D₇ and Q=C₂

Direct product G=N×Q with N=C₄².D₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₄².D₇		448		C2xC4^2.D7	448,455

Semidirect products G=N:Q with N=C₄².D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².D₇⋊₁C₂ = C₄².D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:1C2	448,21
C₄².D₇⋊₂C₂ = M₄(2).₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	112	4	C4^2.D7:2C2	448,357
C₄².D₇⋊₃C₂ = D₁₄⋊₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:3C2	448,370
C₄².D₇⋊₄C₂ = C₄².₄₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:4C2	448,545
C₄².D₇⋊₅C₂ = C₄².₄₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:5C2	448,548
C₄².D₇⋊₆C₂ = C₄².₅₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:6C2	448,552
C₄².D₇⋊₇C₂ = C₄².₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:7C2	448,560
C₄².D₇⋊₈C₂ = C₄².₆₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:8C2	448,589
C₄².D₇⋊₉C₂ = C₄².₆₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:9C2	448,592
C₄².D₇⋊₁₀C₂ = C₄².₆₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:10C2	448,594
C₄².D₇⋊₁₁C₂ = C₄².₇₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:11C2	448,601
C₄².D₇⋊₁₂C₂ = C₄².₇₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:12C2	448,605
C₄².D₇⋊₁₃C₂ = C₄².₇₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:13C2	448,608
C₄².D₇⋊₁₄C₂ = C₄².₈₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:14C2	448,620
C₄².D₇⋊₁₅C₂ = C₄².₈₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:15C2	448,623
C₄².D₇⋊₁₆C₂ = C₄².₂₄₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:16C2	448,224
C₄².D₇⋊₁₇C₂ = D₇×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:17C2	448,238
C₄².D₇⋊₁₈C₂ = C₄².₁₈₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:18C2	448,239
C₄².D₇⋊₁₉C₂ = Dic₇.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:19C2	448,241
C₄².D₇⋊₂₀C₂ = C₄².₇Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:20C2	448,460
C₄².D₇⋊₂₁C₂ = C₂₈.₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:21C2	448,531
C₄².D₇⋊₂₂C₂ = C₄².₁₈₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:22C2	448,534
C₄².D₇⋊₂₃C₂ = C₄².₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	224		C4^2.D7:23C2	448,97
C₄².D₇⋊₂₄C₂ = D₁₄.C₄²	φ: trivial image	224		C4^2.D7:24C2	448,223
C₄².D₇⋊₂₅C₂ = C₄×C₄.Dic₇	φ: trivial image	224		C4^2.D7:25C2	448,456

Non-split extensions G=N.Q with N=C₄².D₇ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄².D₇.₁C₂ = C₄².₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	448	C4^2.D7.1C2	448,22
C₄².D₇.₂C₂ = C₄².₂₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	448	C4^2.D7.2C2	448,362
C₄².D₇.₃C₂ = C₄².₂₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	448	C4^2.D7.3C2	448,558
C₄².D₇.₄C₂ = C₄².₅₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	448	C4^2.D7.4C2	448,564
C₄².D₇.₅C₂ = C₄².₆₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	448	C4^2.D7.5C2	448,599
C₄².D₇.₆C₂ = C₄².₇₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	448	C4^2.D7.6C2	448,603
C₄².D₇.₇C₂ = C₄².₇₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	448	C4^2.D7.7C2	448,614
C₄².D₇.₈C₂ = C₄².₇₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	448	C4^2.D7.8C2	448,616
C₄².D₇.₉C₂ = C₄².₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄².D₇	448	C4^2.D7.9C2	448,100

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Extensions 1→N→G→Q→1 with N=C42.D7 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄².D₇ and Q=C₂