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

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

		d	ρ	Label	ID
C₃²×C₃⋊C₈		72		C3^2xC3:C8	216,82

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₃⋊C₈) = C₃×C₃²⋊₄C₈	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₃	72		C3:(C3xC3:C8)	216,83

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₃⋊C₈) = C₃×C₉⋊C₈	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₃	72	2	C3.1(C3xC3:C8)	216,12
C₃.₂(C₃×C₃⋊C₈) = He₃⋊₃C₈	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₃	72	6	C3.2(C3xC3:C8)	216,14
C₃.₃(C₃×C₃⋊C₈) = C₉⋊C₂₄	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₃	72	6	C3.3(C3xC3:C8)	216,15
C₃.₄(C₃×C₃⋊C₈) = C₉×C₃⋊C₈	central extension (φ=1)	72	2	C3.4(C3xC3:C8)	216,13

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