Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²:₇D₈

Direct product G=NxQ with N=C₃ and Q=C₃²:₇D₈

		d	ρ	Label	ID
C₃xC₃²:₇D₈		72		C3xC3^2:7D8	432,491

Semidirect products G=N:Q with N=C₃ and Q=C₃²:₇D₈

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₃²:₇D₈) = C₃³:₇D₈	φ: C₃²:₇D₈/C₃²:₄C₈ → C₂ ⊆ Aut C₃	72	C3:1(C3^2:7D8)	432,437
C₃:₂(C₃²:₇D₈) = C₃³:₆D₈	φ: C₃²:₇D₈/C₁₂:S₃ → C₂ ⊆ Aut C₃	144	C3:2(C3^2:7D8)	432,436
C₃:₃(C₃²:₇D₈) = C₃³:₁₅D₈	φ: C₃²:₇D₈/D₄xC₃² → C₂ ⊆ Aut C₃	216	C3:3(C3^2:7D8)	432,507

Non-split extensions G=N.Q with N=C₃ and Q=C₃²:₇D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²:₇D₈) = C₃₆.₁₈D₆	φ: C₃²:₇D₈/D₄xC₃² → C₂ ⊆ Aut C₃	216		C3.(C3^2:7D8)	432,191
C₃.₂(C₃²:₇D₈) = He₃:₇D₈	central stem extension (φ=1)	72	6	C3.2(C3^2:7D8)	432,192

Extensions 1→N→G→Q→1 with N=C3 and Q=C32:7D8