Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₇

Direct product G=N×Q with N=C₂³ and Q=D₇

		d	ρ	Label	ID
C₂³×D₇		56		C2^3xD7	112,42

Semidirect products G=N:Q with N=C₂³ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₇ = C₂×C₇⋊D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂³	56		C2^3:D7	112,36

Non-split extensions G=N.Q with N=C₂³ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.D₇ = C₂³.D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂³	56		C2^3.D7	112,18
C₂³.₂D₇ = C₂²×Dic₇	central extension (φ=1)	112		C2^3.2D7	112,35

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Extensions 1→N→G→Q→1 with N=C23 and Q=D7