Extensions 1→N→G→Q→1 with N=C₂³ and Q=Dic₇

Direct product G=N×Q with N=C₂³ and Q=Dic₇

		d	ρ	Label	ID
C₂³×Dic₇		224		C2^3xDic7	224,187

Semidirect products G=N:Q with N=C₂³ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊Dic₇ = C₂³⋊Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂³	56	4	C2^3:Dic7	224,40
C₂³⋊₂Dic₇ = C₂×C₂³.D₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3:2Dic7	224,147

Non-split extensions G=N.Q with N=C₂³ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.Dic₇ = C₂₈.D₄	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂³	56	4	C2^3.Dic7	224,39
C₂³.₂Dic₇ = C₂₈.₅₅D₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.2Dic7	224,36
C₂³.₃Dic₇ = C₂×C₄.Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.3Dic7	224,116
C₂³.₄Dic₇ = C₂²×C₇⋊C₈	central extension (φ=1)	224		C2^3.4Dic7	224,115

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