Extensions 1→N→G→Q→1 with N=C₃² and Q=C₃⋊C₈

Direct product G=N×Q with N=C₃² and Q=C₃⋊C₈

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

Semidirect products G=N:Q with N=C₃² and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₃⋊C₈) = C₃⋊F₉	φ: C₃⋊C₈/C₃ → C₈ ⊆ Aut C₃²	24	8	C3^2:(C3:C8)	216,155
C₃²⋊₂(C₃⋊C₈) = He₃⋊₃C₈	φ: C₃⋊C₈/C₄ → S₃ ⊆ Aut C₃²	72	6	C3^2:2(C3:C8)	216,14
C₃²⋊₃(C₃⋊C₈) = He₃⋊₄C₈	φ: C₃⋊C₈/C₄ → S₃ ⊆ Aut C₃²	72	3	C3^2:3(C3:C8)	216,17
C₃²⋊₄(C₃⋊C₈) = C₃³⋊₄C₈	φ: C₃⋊C₈/C₆ → C₄ ⊆ Aut C₃²	24	4	C3^2:4(C3:C8)	216,118
C₃²⋊₅(C₃⋊C₈) = C₃×C₃²⋊₄C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:5(C3:C8)	216,83
C₃²⋊₆(C₃⋊C₈) = C₃³⋊₇C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₃²	216		C3^2:6(C3:C8)	216,84

Non-split extensions G=N.Q with N=C₃² and Q=C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₃⋊C₈) = C₉⋊C₂₄	φ: C₃⋊C₈/C₄ → S₃ ⊆ Aut C₃²	72	6	C3^2.(C3:C8)	216,15
C₃².₂(C₃⋊C₈) = C₃×C₉⋊C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₃²	72	2	C3^2.2(C3:C8)	216,12
C₃².₃(C₃⋊C₈) = C₃₆.S₃	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₃²	216		C3^2.3(C3:C8)	216,16

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