Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₇:C₃

Direct product G=NxQ with N=C₃xC₆ and Q=C₇:C₃

		d	ρ	Label	ID
C₃xC₆xC₇:C₃		126		C3xC6xC7:C3	378,52

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):(C₇:C₃) = C₂xC₇:He₃	φ: C₇:C₃/C₇ → C₃ ⊆ Aut C₃xC₆	126	3	(C3xC6):(C7:C3)	378,28

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).(C₇:C₃) = C₂xC₂₁.C₃²	φ: C₇:C₃/C₇ → C₃ ⊆ Aut C₃xC₆	126	3	(C3xC6).(C7:C3)	378,27
(C₃xC₆).₂(C₇:C₃) = C₆xC₇:C₉	central extension (φ=1)	378		(C3xC6).2(C7:C3)	378,26

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=C7:C3