Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=Dic₇

Direct product G=N×Q with N=C₂⁴ and Q=Dic₇

		d	ρ	Label	ID
C₂⁴×Dic₇		448		C2^4xDic7	448,1383

Semidirect products G=N:Q with N=C₂⁴ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊₁Dic₇ = C₂⁴⋊Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂⁴	56	4	C2^4:1Dic7	448,93
C₂⁴⋊₂Dic₇ = C₂×C₂³⋊Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂⁴	112		C2^4:2Dic7	448,753
C₂⁴⋊₃Dic₇ = C₂⁵.D₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂⁴	112		C2^4:3Dic7	448,781
C₂⁴⋊₄Dic₇ = C₂²×C₂³.D₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂⁴	224		C2^4:4Dic7	448,1292

Non-split extensions G=N.Q with N=C₂⁴ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.₁Dic₇ = C₂⁴.Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂⁴	112		C2^4.1Dic7	448,82
C₂⁴.₂Dic₇ = C₂×C₂₈.D₄	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂⁴	112		C2^4.2Dic7	448,750
C₂⁴.₃Dic₇ = C₂×C₂₈.₅₅D₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂⁴	224		C2^4.3Dic7	448,740
C₂⁴.₄Dic₇ = C₂⁴.₄Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂⁴	112		C2^4.4Dic7	448,741
C₂⁴.₅Dic₇ = C₂²×C₄.Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂⁴	224		C2^4.5Dic7	448,1234
C₂⁴.₆Dic₇ = C₂³×C₇⋊C₈	central extension (φ=1)	448		C2^4.6Dic7	448,1233

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