Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₁₄

Direct product G=N×Q with N=C₄ and Q=Dic₁₄

		d	ρ	Label	ID
C₄×Dic₁₄		224		C4xDic14	224,63

Semidirect products G=N:Q with N=C₄ and Q=Dic₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁Dic₁₄ = C₂₈⋊Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₄	224		C4:1Dic14	224,83
C₄⋊₂Dic₁₄ = C₂₈⋊₂Q₈	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₄	224		C4:2Dic14	224,64

Non-split extensions G=N.Q with N=C₄ and Q=Dic₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁Dic₁₄ = C₂₈.Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₄	224		C4.1Dic14	224,13
C₄.₂Dic₁₄ = C₄.Dic₁₄	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₄	224		C4.2Dic14	224,14
C₄.₃Dic₁₄ = C₂₈.₃Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₄	224		C4.3Dic14	224,85
C₄.₄Dic₁₄ = C₈⋊Dic₇	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₄	224		C4.4Dic14	224,23
C₄.₅Dic₁₄ = C₅₆⋊₁C₄	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₄	224		C4.5Dic14	224,24
C₄.₆Dic₁₄ = C₂₈.₆Q₈	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₄	224		C4.6Dic14	224,65
C₄.₇Dic₁₄ = C₂₈⋊C₈	central extension (φ=1)	224		C4.7Dic14	224,10
C₄.₈Dic₁₄ = Dic₇⋊C₈	central extension (φ=1)	224		C4.8Dic14	224,20

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁