Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₇D₆

Direct product G=N×Q with N=C₃ and Q=C₂³.₇D₆

		d	ρ	Label	ID
C₃×C₂³.₇D₆		24	4	C3xC2^3.7D6	288,268

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₇D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₇D₆) = C₆².₃₁D₄	φ: C₂³.₇D₆/C₆.D₄ → C₂ ⊆ Aut C₃	24	4	C3:1(C2^3.7D6)	288,228
C₃⋊₂(C₂³.₇D₆) = C₆².₃₈D₄	φ: C₂³.₇D₆/C₆×D₄ → C₂ ⊆ Aut C₃	72		C3:2(C2^3.7D6)	288,309

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₇D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₇D₆) = C₂³⋊₂Dic₉	φ: C₂³.₇D₆/C₆×D₄ → C₂ ⊆ Aut C₃	72	4	C3.(C2^3.7D6)	288,41

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Extensions 1→N→G→Q→1 with N=C3 and Q=C23.7D6