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

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

		d	ρ	Label	ID
C₂xD₇xD₈		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 = D₇xD₁₆	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 = D₇xC₈: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 = C₂xC₇: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 = C₂xD₈: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 = C₂xD₈:₃D₇	φ: trivial image	224		D8:12D14	448,1209
D₈:₁₃D₁₄ = D₈:₁₃D₁₄	φ: trivial image	112	4	D8:13D14	448,1210
D₈:₁₄D₁₄ = D₇xC₄oD₈	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 = D₇xSD₃₂	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 = C₂xD₈.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

׿

x

:

Z

F

o

wr

Q

<