Extensions 1→N→G→Q→1 with N=C₂³.D₇ and Q=C₄

Direct product G=N×Q with N=C₂³.D₇ and Q=C₄

		d	ρ	Label	ID
C₄×C₂³.D₇		224		C4xC2^3.D7	448,743

Semidirect products G=N:Q with N=C₂³.D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₇⋊₁C₄ = C₇⋊C₂≀C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂³.D₇	56	8+	C2^3.D7:1C4	448,28
C₂³.D₇⋊₂C₄ = (C₂×C₂₈).D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂³.D₇	112	8-	C2^3.D7:2C4	448,29
C₂³.D₇⋊₃C₄ = C₂³.₃D₂₈	φ: C₄/C₁ → C₄ ⊆ Out C₂³.D₇	56	8+	C2^3.D7:3C4	448,32
C₂³.D₇⋊₄C₄ = C₂³.₄D₂₈	φ: C₄/C₁ → C₄ ⊆ Out C₂³.D₇	112	8-	C2^3.D7:4C4	448,33
C₂³.D₇⋊₅C₄ = C₂⁴.D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:5C4	448,83
C₂³.D₇⋊₆C₄ = C₂⁴.₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:6C4	448,84
C₂³.D₇⋊₇C₄ = C₂²⋊C₄×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:7C4	448,475
C₂³.D₇⋊₈C₄ = C₂⁴.₃D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:8C4	448,478
C₂³.D₇⋊₉C₄ = C₂⁴.₄D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:9C4	448,479
C₂³.D₇⋊₁₀C₄ = C₂⁴.₄₆D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:10C4	448,480
C₂³.D₇⋊₁₁C₄ = C₂⁴.₆₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:11C4	448,744

Non-split extensions G=N.Q with N=C₂³.D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₇.₁C₄ = (C₂×C₅₆)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	112	4	C2^3.D7.1C4	448,113
C₂³.D₇.₂C₄ = M₄(2)⋊₄Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	112	4	C2^3.D7.2C4	448,116
C₂³.D₇.₃C₄ = C₅₆⋊C₄⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.3C4	448,254
C₂³.D₇.₄C₄ = C₇⋊D₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.4C4	448,259
C₂³.D₇.₅C₄ = D₁₄⋊₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.5C4	448,262
C₂³.D₇.₆C₄ = Dic₇⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.6C4	448,263
C₂³.D₇.₇C₄ = C₇⋊C₈⋊₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.7C4	448,264
C₂³.D₇.₈C₄ = Dic₇⋊C₈⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.8C4	448,636
C₂³.D₇.₉C₄ = C₅₆⋊₃₂D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.9C4	448,645
C₂³.D₇.₁₀C₄ = C₂₈.₄₃₉(C₂×D₄)	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.10C4	448,653
C₂³.D₇.₁₁C₄ = C₂₈.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.11C4	448,656
C₂³.D₇.₁₂C₄ = C₅₆⋊D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.12C4	448,661
C₂³.D₇.₁₃C₄ = C₅₆⋊₁₈D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.13C4	448,662
C₂³.D₇.₁₄C₄ = C₂₈.₁₂C₄²	φ: trivial image	224		C2^3.D7.14C4	448,635
C₂³.D₇.₁₅C₄ = C₈×C₇⋊D₄	φ: trivial image	224		C2^3.D7.15C4	448,643

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