Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₂D₈

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₂D₈

		d	ρ	Label	ID
C₃×C₃²⋊₂D₈		48	4	C3xC3^2:2D8	432,418

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₂D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊₂D₈) = C₃³⋊₉D₈	φ: C₃²⋊₂D₈/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C3^2:2D8)	432,457
C₃⋊₂(C₃²⋊₂D₈) = C₃³⋊₆D₈	φ: C₃²⋊₂D₈/C₃×D₁₂ → C₂ ⊆ Aut C₃	144		C3:2(C3^2:2D8)	432,436

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₂D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²⋊₂D₈) = He₃⋊₂D₈	φ: C₃²⋊₂D₈/C₃²⋊₄C₈ → C₂ ⊆ Aut C₃	72	6+	C3.1(C3^2:2D8)	432,79
C₃.₂(C₃²⋊₂D₈) = D₃₆⋊S₃	φ: C₃²⋊₂D₈/C₃×D₁₂ → C₂ ⊆ Aut C₃	144	4	C3.2(C3^2:2D8)	432,68

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊2D8