Extensions 1→N→G→Q→1 with N=C₃³ and Q=C₈

Direct product G=N×Q with N=C₃³ and Q=C₈

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

Semidirect products G=N:Q with N=C₃³ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊₁C₈ = C₃×F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₃³	24	8	C3^3:1C8	216,154
C₃³⋊₂C₈ = C₃⋊F₉	φ: C₈/C₁ → C₈ ⊆ Aut C₃³	24	8	C3^3:2C8	216,155
C₃³⋊₃C₈ = C₃×C₃²⋊₂C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₃³	24	4	C3^3:3C8	216,117
C₃³⋊₄C₈ = C₃³⋊₄C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₃³	24	4	C3^3:4C8	216,118
C₃³⋊₅C₈ = C₃²×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃³	72		C3^3:5C8	216,82
C₃³⋊₆C₈ = C₃×C₃²⋊₄C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃³	72		C3^3:6C8	216,83
C₃³⋊₇C₈ = C₃³⋊₇C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃³	216		C3^3:7C8	216,84

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