Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₂C₈

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₂C₈

		d	ρ	Label	ID
C₃×C₃²⋊₂C₈		24	4	C3xC3^2:2C8	216,117

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²⋊₂C₈) = C₃³⋊₄C₈	φ: C₃²⋊₂C₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₃	24	4	C3:(C3^2:2C8)	216,118

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊₂C₈) = He₃⋊₂C₈	central stem extension (φ=1)	72	3	C3.(C3^2:2C8)	216,25

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊2C8