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

Direct product G=N×Q with N=C₃ and Q=C₃²⋊D₈

		d	ρ	Label	ID
C₃×C₃²⋊D₈		24	4	C3xC3^2:D8	432,576

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊D₈) = C₃²⋊₂D₂₄	φ: C₃²⋊D₈/C₃²⋊₂C₈ → C₂ ⊆ Aut C₃	24	8+	C3:1(C3^2:D8)	432,588
C₃⋊₂(C₃²⋊D₈) = C₃³⋊D₈	φ: C₃²⋊D₈/D₆⋊S₃ → C₂ ⊆ Aut C₃	24	4	C3:2(C3^2:D8)	432,582

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊D₈) = He₃⋊D₈	φ: C₃²⋊D₈/C₃²⋊₂C₈ → C₂ ⊆ Aut C₃	72	6+	C3.(C3^2:D8)	432,235

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