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

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

		d	ρ	Label	ID
C₂³xD₇		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 = C₂xC₇: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 = C₂²xDic₇	central extension (φ=1)	112		C2^3.2D7	112,35

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