Extensions 1→N→G→Q→1 with N=C₈ and Q=D₁₄

Direct product G=N×Q with N=C₈ and Q=D₁₄

		d	ρ	Label	ID
D₇×C₂×C₈		112		D7xC2xC8	224,94

Semidirect products G=N:Q with N=C₈ and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₁₄ = C₈⋊D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₈	56	4+	C8:1D14	224,103
C₈⋊₂D₁₄ = D₈⋊D₇	φ: D₁₄/C₇ → C₂² ⊆ Aut C₈	56	4	C8:2D14	224,106
C₈⋊₃D₁₄ = D₅₆⋊C₂	φ: D₁₄/C₇ → C₂² ⊆ Aut C₈	56	4+	C8:3D14	224,109
C₈⋊₄D₁₄ = D₇×D₈	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	56	4+	C8:4D14	224,105
C₈⋊₅D₁₄ = D₇×SD₁₆	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	56	4	C8:5D14	224,108
C₈⋊₆D₁₄ = D₇×M₄(2)	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	56	4	C8:6D14	224,101
C₈⋊₇D₁₄ = C₂×D₅₆	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₈	112		C8:7D14	224,98
C₈⋊₈D₁₄ = C₂×C₅₆⋊C₂	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₈	112		C8:8D14	224,97
C₈⋊₉D₁₄ = C₂×C₈⋊D₇	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₈	112		C8:9D14	224,95

Non-split extensions G=N.Q with N=C₈ and Q=D₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₁₄ = C₈.D₁₄	φ: D₁₄/C₇ → C₂² ⊆ Aut C₈	112	4-	C8.1D14	224,104
C₈.₂D₁₄ = SD₁₆⋊D₇	φ: D₁₄/C₇ → C₂² ⊆ Aut C₈	112	4-	C8.2D14	224,110
C₈.₃D₁₄ = Q₁₆⋊D₇	φ: D₁₄/C₇ → C₂² ⊆ Aut C₈	112	4	C8.3D14	224,113
C₈.₄D₁₄ = C₇⋊D₁₆	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	112	4+	C8.4D14	224,32
C₈.₅D₁₄ = D₈.D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	112	4-	C8.5D14	224,33
C₈.₆D₁₄ = C₇⋊SD₃₂	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	112	4+	C8.6D14	224,34
C₈.₇D₁₄ = C₇⋊Q₃₂	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	224	4-	C8.7D14	224,35
C₈.₈D₁₄ = D₈⋊₃D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	112	4-	C8.8D14	224,107
C₈.₉D₁₄ = D₇×Q₁₆	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	112	4-	C8.9D14	224,112
C₈.₁₀D₁₄ = Q₈.D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	112	4+	C8.10D14	224,114
C₈.₁₁D₁₄ = SD₁₆⋊₃D₇	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	112	4	C8.11D14	224,111
C₈.₁₂D₁₄ = D₂₈.C₄	φ: D₁₄/D₇ → C₂ ⊆ Aut C₈	112	4	C8.12D14	224,102
C₈.₁₃D₁₄ = D₁₁₂	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2+	C8.13D14	224,5
C₈.₁₄D₁₄ = C₁₁₂⋊C₂	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.14D14	224,6
C₈.₁₅D₁₄ = Dic₅₆	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₈	224	2-	C8.15D14	224,7
C₈.₁₆D₁₄ = C₂×Dic₂₈	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₈	224		C8.16D14	224,100
C₈.₁₇D₁₄ = D₅₆⋊₇C₂	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.17D14	224,99
C₈.₁₈D₁₄ = D₂₈.₂C₄	φ: D₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.18D14	224,96
C₈.₁₉D₁₄ = D₇×C₁₆	central extension (φ=1)	112	2	C8.19D14	224,3
C₈.₂₀D₁₄ = C₁₆⋊D₇	central extension (φ=1)	112	2	C8.20D14	224,4
C₈.₂₁D₁₄ = C₂×C₇⋊C₁₆	central extension (φ=1)	224		C8.21D14	224,17
C₈.₂₂D₁₄ = C₂₈.C₈	central extension (φ=1)	112	2	C8.22D14	224,18

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Extensions 1→N→G→Q→1 with N=C8 and Q=D14

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₁₄