Extensions 1→N→G→Q→1 with N=C₃² and Q=C₄₈

Direct product G=N×Q with N=C₃² and Q=C₄₈

		d	ρ	Label	ID
C₃²×C₄₈		432		C3^2xC48	432,232

Semidirect products G=N:Q with N=C₃² and Q=C₄₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₄₈ = C₃×C₂.F₉	φ: C₄₈/C₆ → C₈ ⊆ Aut C₃²	48	8	C3^2:C48	432,565
C₃²⋊₂C₄₈ = He₃⋊₃C₁₆	φ: C₄₈/C₈ → C₆ ⊆ Aut C₃²	144	6	C3^2:2C48	432,30
C₃²⋊₃C₄₈ = C₃×C₃²⋊₂C₁₆	φ: C₄₈/C₁₂ → C₄ ⊆ Aut C₃²	48	4	C3^2:3C48	432,412
C₃²⋊₄C₄₈ = C₁₆×He₃	φ: C₄₈/C₁₆ → C₃ ⊆ Aut C₃²	144	3	C3^2:4C48	432,35
C₃²⋊₅C₄₈ = C₃²×C₃⋊C₁₆	φ: C₄₈/C₂₄ → C₂ ⊆ Aut C₃²	144		C3^2:5C48	432,229
C₃²⋊₆C₄₈ = C₃×C₂₄.S₃	φ: C₄₈/C₂₄ → C₂ ⊆ Aut C₃²	144		C3^2:6C48	432,230

Non-split extensions G=N.Q with N=C₃² and Q=C₄₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².C₄₈ = C₁₆×3_-¹⁺²	φ: C₄₈/C₁₆ → C₃ ⊆ Aut C₃²	144	3	C3^2.C48	432,36
C₃².₂C₄₈ = C₉×C₃⋊C₁₆	φ: C₄₈/C₂₄ → C₂ ⊆ Aut C₃²	144	2	C3^2.2C48	432,29

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