Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₂Q₈

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₂Q₈

		d	ρ	Label	ID
C₃×C₃²⋊₂Q₈		24	4	C3xC3^2:2Q8	216,123

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊₂Q₈) = C₃³⋊₄Q₈	φ: C₃²⋊₂Q₈/C₃×Dic₃ → C₂ ⊆ Aut C₃	72		C3:1(C3^2:2Q8)	216,130
C₃⋊₂(C₃²⋊₂Q₈) = C₃³⋊₅Q₈	φ: C₃²⋊₂Q₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₃	24	4	C3:2(C3^2:2Q8)	216,133

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²⋊₂Q₈) = C₉⋊Dic₆	φ: C₃²⋊₂Q₈/C₃×Dic₃ → C₂ ⊆ Aut C₃	72	4-	C3.1(C3^2:2Q8)	216,26
C₃.₂(C₃²⋊₂Q₈) = He₃⋊₂Q₈	φ: C₃²⋊₂Q₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₃	72	6-	C3.2(C3^2:2Q8)	216,33

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊2Q8