Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂₄

Direct product G=N×Q with N=C₃² and Q=C₂₄

		d	ρ	Label	ID
C₃²×C₂₄		216		C3^2xC24	216,85

Semidirect products G=N:Q with N=C₃² and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₂₄ = C₃×F₉	φ: C₂₄/C₃ → C₈ ⊆ Aut C₃²	24	8	C3^2:C24	216,154
C₃²⋊₂C₂₄ = He₃⋊₃C₈	φ: C₂₄/C₄ → C₆ ⊆ Aut C₃²	72	6	C3^2:2C24	216,14
C₃²⋊₃C₂₄ = C₃×C₃²⋊₂C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₃²	24	4	C3^2:3C24	216,117
C₃²⋊₄C₂₄ = C₈×He₃	φ: C₂₄/C₈ → C₃ ⊆ Aut C₃²	72	3	C3^2:4C24	216,19
C₃²⋊₅C₂₄ = C₃²×C₃⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:5C24	216,82
C₃²⋊₆C₂₄ = C₃×C₃²⋊₄C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:6C24	216,83

Non-split extensions G=N.Q with N=C₃² and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².C₂₄ = C₈×3_-¹⁺²	φ: C₂₄/C₈ → C₃ ⊆ Aut C₃²	72	3	C3^2.C24	216,20
C₃².₂C₂₄ = C₉×C₃⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₃²	72	2	C3^2.2C24	216,13

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