Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₄Q₈

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₄Q₈

		d	ρ	Label	ID
C₃×C₃²⋊₄Q₈		72		C3xC3^2:4Q8	216,140

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊₄Q₈) = C₃³⋊₄Q₈	φ: C₃²⋊₄Q₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₃	72		C3:1(C3^2:4Q8)	216,130
C₃⋊₂(C₃²⋊₄Q₈) = C₃³⋊₈Q₈	φ: C₃²⋊₄Q₈/C₃×C₁₂ → C₂ ⊆ Aut C₃	216		C3:2(C3^2:4Q8)	216,145

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊₄Q₈) = C₁₂.D₉	φ: C₃²⋊₄Q₈/C₃×C₁₂ → C₂ ⊆ Aut C₃	216		C3.(C3^2:4Q8)	216,63
C₃.₂(C₃²⋊₄Q₈) = He₃⋊₄Q₈	central stem extension (φ=1)	72	6	C3.2(C3^2:4Q8)	216,66

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊4Q8