Extensions 1→N→G→Q→1 with N=C₂²⋊C₈ and Q=D₇

Direct product G=N×Q with N=C₂²⋊C₈ and Q=D₇

		d	ρ	Label	ID
D₇×C₂²⋊C₈		112		D7xC2^2:C8	448,258

Semidirect products G=N:Q with N=C₂²⋊C₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈⋊₁D₇ = (C₂²×D₇)⋊C₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8:1D7	448,25
C₂²⋊C₈⋊₂D₇ = C₂².₂D₅₆	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8:2D7	448,27
C₂²⋊C₈⋊₃D₇ = D₂₈⋊₁₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8:3D7	448,266
C₂²⋊C₈⋊₄D₇ = C₂².D₅₆	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:4D7	448,270
C₂²⋊C₈⋊₅D₇ = D₂₈.₃₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:5D7	448,267
C₂²⋊C₈⋊₆D₇ = D₂₈⋊₁₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:6D7	448,268
C₂²⋊C₈⋊₇D₇ = C₂³.₁₃D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:7D7	448,271
C₂²⋊C₈⋊₈D₇ = D₂₈.₃₁D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8:8D7	448,265
C₂²⋊C₈⋊₉D₇ = C₂³.₃₈D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:9D7	448,269
C₂²⋊C₈⋊₁₀D₇ = Dic₁₄⋊₁₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:10D7	448,272
C₂²⋊C₈⋊₁₁D₇ = D₁₄⋊M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8:11D7	448,260
C₂²⋊C₈⋊₁₂D₇ = D₁₄⋊C₈⋊C₂	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:12D7	448,261
C₂²⋊C₈⋊₁₃D₇ = D₁₄⋊₂M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:13D7	448,262
C₂²⋊C₈⋊₁₄D₇ = Dic₇⋊M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:14D7	448,263
C₂²⋊C₈⋊₁₅D₇ = C₇⋊C₈⋊₂₆D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8:15D7	448,264
C₂²⋊C₈⋊₁₆D₇ = C₇⋊D₄⋊C₈	φ: trivial image	224		C2^2:C8:16D7	448,259

Non-split extensions G=N.Q with N=C₂²⋊C₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈.₁D₇ = C₂³.₃₀D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	112		C2^2:C8.1D7	448,24
C₂²⋊C₈.₂D₇ = (C₂×Dic₇)⋊C₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.2D7	448,26
C₂²⋊C₈.₃D₇ = C₂³.₃₅D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.3D7	448,256
C₂²⋊C₈.₄D₇ = C₂²⋊Dic₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.4D7	448,273
C₂²⋊C₈.₅D₇ = C₂³.₁₀D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.5D7	448,257
C₂²⋊C₈.₆D₇ = C₂³.₃₄D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.6D7	448,255
C₂²⋊C₈.₇D₇ = Dic₇.M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.7D7	448,253
C₂²⋊C₈.₈D₇ = C₅₆⋊C₄⋊C₂	φ: D₇/C₇ → C₂ ⊆ Out C₂²⋊C₈	224		C2^2:C8.8D7	448,254
C₂²⋊C₈.₉D₇ = Dic₇.₅M₄(2)	φ: trivial image	224		C2^2:C8.9D7	448,252

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