Extensions 1→N→G→Q→1 with N=D₈ and Q=D₁₄

Direct product G=N×Q with N=D₈ and Q=D₁₄

		d	ρ	Label	ID
C₂×D₇×D₈		112		C2xD7xD8	448,1207

Semidirect products G=N:Q with N=D₈ and Q=D₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁D₁₄ = D₇×D₁₆	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	112	4+	D8:1D14	448,444
D₈⋊₂D₁₄ = D₈⋊D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	112	4	D8:2D14	448,445
D₈⋊₃D₁₄ = D₇×C₈⋊C₂²	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	56	8+	D8:3D14	448,1225
D₈⋊₄D₁₄ = SD₁₆⋊D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	112	8-	D8:4D14	448,1226
D₈⋊₅D₁₄ = D₈⋊₅D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	112	8+	D8:5D14	448,1227
D₈⋊₆D₁₄ = D₈⋊₆D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	112	8-	D8:6D14	448,1228
D₈⋊₇D₁₄ = C₂×C₇⋊D₁₆	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₈	224		D8:7D14	448,680
D₈⋊₈D₁₄ = Q₁₆⋊D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₈	112	4+	D8:8D14	448,727
D₈⋊₉D₁₄ = C₂×D₈⋊D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₈	112		D8:9D14	448,1208
D₈⋊₁₀D₁₄ = D₈⋊₁₀D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₈	112	4	D8:10D14	448,1221
D₈⋊₁₁D₁₄ = D₈⋊₁₁D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₈	112	4	D8:11D14	448,1223
D₈⋊₁₂D₁₄ = C₂×D₈⋊₃D₇	φ: trivial image	224		D8:12D14	448,1209
D₈⋊₁₃D₁₄ = D₈⋊₁₃D₁₄	φ: trivial image	112	4	D8:13D14	448,1210
D₈⋊₁₄D₁₄ = D₇×C₄○D₈	φ: trivial image	112	4	D8:14D14	448,1220
D₈⋊₁₅D₁₄ = D₈⋊₁₅D₁₄	φ: trivial image	112	4+	D8:15D14	448,1222

Non-split extensions G=N.Q with N=D₈ and Q=D₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁D₁₄ = D₁₆⋊₃D₇	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	224	4-	D8.1D14	448,446
D₈.₂D₁₄ = D₇×SD₃₂	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	112	4	D8.2D14	448,447
D₈.₃D₁₄ = D₁₁₂⋊C₂	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	112	4+	D8.3D14	448,448
D₈.₄D₁₄ = SD₃₂⋊D₇	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	224	4-	D8.4D14	448,449
D₈.₅D₁₄ = SD₃₂⋊₃D₇	φ: D₁₄/D₇ → C₂ ⊆ Out D₈	224	4	D8.5D14	448,450
D₈.₆D₁₄ = D₈.D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₈	112	4	D8.6D14	448,681
D₈.₇D₁₄ = C₂×D₈.D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₈	224		D8.7D14	448,682
D₈.₈D₁₄ = C₅₆.₃₀C₂³	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₈	224	4	D8.8D14	448,728
D₈.₉D₁₄ = C₅₆.₃₁C₂³	φ: D₁₄/C₁₄ → C₂ ⊆ Out D₈	224	4-	D8.9D14	448,729
D₈.₁₀D₁₄ = D₈.₁₀D₁₄	φ: trivial image	224	4-	D8.10D14	448,1224

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