Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₁₄

Direct product G=N×Q with N=C₂² and Q=Dic₁₄

		d	ρ	Label	ID
C₂²×Dic₁₄		224		C2^2xDic14	224,174

Semidirect products G=N:Q with N=C₂² and Q=Dic₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁Dic₁₄ = C₂²⋊Dic₁₄	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₂²	112		C2^2:1Dic14	224,73
C₂²⋊₂Dic₁₄ = C₂₈.₄₈D₄	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₂²	112		C2^2:2Dic14	224,119

Non-split extensions G=N.Q with N=C₂² and Q=Dic₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁Dic₁₄ = C₂₈.₅₃D₄	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.1Dic14	224,28
C₂².₂Dic₁₄ = C₅₆.C₄	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₂²	112	2	C2^2.2Dic14	224,25
C₂².₃Dic₁₄ = C₁₄.C₄²	central extension (φ=1)	224		C2^2.3Dic14	224,37
C₂².₄Dic₁₄ = C₂×Dic₇⋊C₄	central extension (φ=1)	224		C2^2.4Dic14	224,118
C₂².₅Dic₁₄ = C₂×C₄⋊Dic₇	central extension (φ=1)	224		C2^2.5Dic14	224,120

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁