Extensions 1→N→G→Q→1 with N=C₈ and Q=Dic₁₄

Direct product G=N×Q with N=C₈ and Q=Dic₁₄

		d	ρ	Label	ID
C₈×Dic₁₄		448		C8xDic14	448,212

Semidirect products G=N:Q with N=C₈ and Q=Dic₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁Dic₁₄ = C₈⋊Dic₁₄	φ: Dic₁₄/C₁₄ → C₂² ⊆ Aut C₈	448		C8:1Dic14	448,236
C₈⋊₂Dic₁₄ = C₅₆⋊₃Q₈	φ: Dic₁₄/C₁₄ → C₂² ⊆ Aut C₈	448		C8:2Dic14	448,390
C₈⋊₃Dic₁₄ = C₅₆⋊₄Q₈	φ: Dic₁₄/C₁₄ → C₂² ⊆ Aut C₈	448		C8:3Dic14	448,410
C₈⋊₄Dic₁₄ = C₅₆⋊₂Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₈	448		C8:4Dic14	448,408
C₈⋊₅Dic₁₄ = C₅₆⋊₅Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₈	448		C8:5Dic14	448,389
C₈⋊₆Dic₁₄ = C₅₆⋊Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₈	448		C8:6Dic14	448,235
C₈⋊₇Dic₁₄ = C₅₆⋊₈Q₈	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₈	448		C8:7Dic14	448,216
C₈⋊₈Dic₁₄ = C₅₆⋊₉Q₈	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₈	448		C8:8Dic14	448,214
C₈⋊₉Dic₁₄ = C₅₆⋊₁₁Q₈	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₈	448		C8:9Dic14	448,213

Non-split extensions G=N.Q with N=C₈ and Q=Dic₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁Dic₁₄ = C₅₆.Q₈	φ: Dic₁₄/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.1Dic14	448,44
C₈.₂Dic₁₄ = C₈.Dic₁₄	φ: Dic₁₄/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.2Dic14	448,51
C₈.₃Dic₁₄ = C₁₆⋊Dic₇	φ: Dic₁₄/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.3Dic14	448,70
C₈.₄Dic₁₄ = C₈.₄Dic₁₄	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₈	448		C8.4Dic14	448,46
C₈.₅Dic₁₄ = C₈.₅Dic₁₄	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₈	448		C8.5Dic14	448,47
C₈.₆Dic₁₄ = C₅₆.₄Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₈	448		C8.6Dic14	448,412
C₈.₇Dic₁₄ = C₈.₇Dic₁₄	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₈	224	4	C8.7Dic14	448,50
C₈.₈Dic₁₄ = C₅₆.₈Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₈	448		C8.8Dic14	448,392
C₈.₉Dic₁₄ = C₅₆.₉Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₈	112	4	C8.9Dic14	448,68
C₈.₁₀Dic₁₄ = C₁₁₂⋊₅C₄	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₈	448		C8.10Dic14	448,61
C₈.₁₁Dic₁₄ = C₁₁₂⋊₆C₄	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₈	448		C8.11Dic14	448,62
C₈.₁₂Dic₁₄ = C₅₆.₁₃Q₈	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₈	448		C8.12Dic14	448,217
C₈.₁₃Dic₁₄ = C₁₁₂.C₄	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₈	224	2	C8.13Dic14	448,63
C₈.₁₄Dic₁₄ = C₅₆.₁₆Q₈	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₈	112	2	C8.14Dic14	448,20
C₈.₁₅Dic₁₄ = C₂₈⋊C₁₆	central extension (φ=1)	448		C8.15Dic14	448,19
C₈.₁₆Dic₁₄ = Dic₇⋊C₁₆	central extension (φ=1)	448		C8.16Dic14	448,58

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