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

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

		d	ρ	Label	ID
C₃²xC₂₄		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 = C₃xF₉	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 = C₃xC₃²:₂C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₃²	24	4	C3^2:3C24	216,117
C₃²:₄C₂₄ = C₈xHe₃	φ: C₂₄/C₈ → C₃ ⊆ Aut C₃²	72	3	C3^2:4C24	216,19
C₃²:₅C₂₄ = C₃²xC₃:C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₃²	72		C3^2:5C24	216,82
C₃²:₆C₂₄ = C₃xC₃²:₄C₈	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 = C₈x3_-¹⁺²	φ: C₂₄/C₈ → C₃ ⊆ Aut C₃²	72	3	C3^2.C24	216,20
C₃².₂C₂₄ = C₉xC₃:C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₃²	72	2	C3^2.2C24	216,13

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