Extensions 1→N→G→Q→1 with N=C₃³ and Q=D₈

Direct product G=N×Q with N=C₃³ and Q=D₈

		d	ρ	Label	ID
D₈×C₃³		216		D8xC3^3	432,517

Semidirect products G=N:Q with N=C₃³ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊₁D₈ = C₃×C₃²⋊D₈	φ: D₈/C₂ → D₄ ⊆ Aut C₃³	24	4	C3^3:1D8	432,576
C₃³⋊₂D₈ = C₃³⋊D₈	φ: D₈/C₂ → D₄ ⊆ Aut C₃³	24	4	C3^3:2D8	432,582
C₃³⋊₃D₈ = C₃²⋊₂D₂₄	φ: D₈/C₂ → D₄ ⊆ Aut C₃³	24	8+	C3^3:3D8	432,588
C₃³⋊₄D₈ = C₃×C₃²⋊₂D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:4D8	432,418
C₃³⋊₅D₈ = C₃×C₃⋊D₂₄	φ: D₈/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:5D8	432,419
C₃³⋊₆D₈ = C₃³⋊₆D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃³	144		C3^3:6D8	432,436
C₃³⋊₇D₈ = C₃³⋊₇D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃³	72		C3^3:7D8	432,437
C₃³⋊₈D₈ = C₃³⋊₈D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃³	72		C3^3:8D8	432,438
C₃³⋊₉D₈ = C₃³⋊₉D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:9D8	432,457
C₃³⋊₁₀D₈ = C₃²×D₂₄	φ: D₈/C₈ → C₂ ⊆ Aut C₃³	144		C3^3:10D8	432,467
C₃³⋊₁₁D₈ = C₃×C₃²⋊₅D₈	φ: D₈/C₈ → C₂ ⊆ Aut C₃³	144		C3^3:11D8	432,483
C₃³⋊₁₂D₈ = C₃³⋊₁₂D₈	φ: D₈/C₈ → C₂ ⊆ Aut C₃³	216		C3^3:12D8	432,499
C₃³⋊₁₃D₈ = C₃²×D₄⋊S₃	φ: D₈/D₄ → C₂ ⊆ Aut C₃³	72		C3^3:13D8	432,475
C₃³⋊₁₄D₈ = C₃×C₃²⋊₇D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₃³	72		C3^3:14D8	432,491
C₃³⋊₁₅D₈ = C₃³⋊₁₅D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₃³	216		C3^3:15D8	432,507

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