Extensions 1→N→G→Q→1 with N=C₄.₄D₄ and Q=D₇

Direct product G=NxQ with N=C₄.₄D₄ and Q=D₇

		d	ρ	Label	ID
D₇xC₄.₄D₄		112		D7xC4.4D4	448,1126

Semidirect products G=N:Q with N=C₄.₄D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₄D₄:₁D₇ = D₂₈.₂₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4:1D7	448,591
C₄.₄D₄:₂D₇ = C₄².₆₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4:2D7	448,592
C₄.₄D₄:₃D₇ = C₄².₂₁₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4:3D7	448,593
C₄.₄D₄:₄D₇ = C₄²:₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	112	4	C4.4D4:4D7	448,595
C₄.₄D₄:₅D₇ = D₂₈.₁₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	112	4	C4.4D4:5D7	448,596
C₄.₄D₄:₆D₇ = C₄².₁₃₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4:6D7	448,1122
C₄.₄D₄:₇D₇ = C₄².₁₃₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4:7D7	448,1123
C₄.₄D₄:₈D₇ = C₄²:₁₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	112		C4.4D4:8D7	448,1127
C₄.₄D₄:₉D₇ = C₄².₁₄₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4:9D7	448,1128
C₄.₄D₄:₁₀D₇ = D₂₈:₁₀D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	112		C4.4D4:10D7	448,1129
C₄.₄D₄:₁₁D₇ = Dic₁₄:₁₀D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4:11D7	448,1130
C₄.₄D₄:₁₂D₇ = C₄²:₂₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	112		C4.4D4:12D7	448,1131
C₄.₄D₄:₁₃D₇ = C₄²:₂₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	112		C4.4D4:13D7	448,1132
C₄.₄D₄:₁₄D₇ = C₄².₁₄₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4:14D7	448,1134
C₄.₄D₄:₁₅D₇ = C₄².₁₄₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4:15D7	448,1135
C₄.₄D₄:₁₆D₇ = C₄²:₂₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	112		C4.4D4:16D7	448,1136
C₄.₄D₄:₁₇D₇ = C₄².₁₄₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4:17D7	448,1137
C₄.₄D₄:₁₈D₇ = C₄².₂₃₃D₁₄	φ: trivial image	224		C4.4D4:18D7	448,1121
C₄.₄D₄:₁₉D₇ = C₄².₂₃₄D₁₄	φ: trivial image	224		C4.4D4:19D7	448,1133

Non-split extensions G=N.Q with N=C₄.₄D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₄D₄.₁D₇ = C₄².₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4.1D7	448,97
C₄.₄D₄.₂D₇ = C₄²:₂Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	112	4	C4.4D4.2D7	448,98
C₄.₄D₄.₃D₇ = C₄².Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	112	4	C4.4D4.3D7	448,99
C₄.₄D₄.₄D₇ = C₄².₆₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4.4D7	448,588
C₄.₄D₄.₅D₇ = C₄².₆₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4.5D7	448,589
C₄.₄D₄.₆D₇ = C₄².₂₁₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4.6D7	448,590
C₄.₄D₄.₇D₇ = C₄².₆₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4.7D7	448,594
C₄.₄D₄.₈D₇ = C₄².₁₃₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4.8D7	448,1124
C₄.₄D₄.₉D₇ = C₄².₁₄₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₄D₄	224		C4.4D4.9D7	448,1125

׿

x

:

Z

F

o

wr

Q

<