Extensions 1→N→G→Q→1 with N=C₃⋊C₈ and Q=C₃⋊S₃

Direct product G=N×Q with N=C₃⋊C₈ and Q=C₃⋊S₃

		d	ρ	Label	ID
C₃⋊S₃×C₃⋊C₈		144		C3:S3xC3:C8	432,431

Semidirect products G=N:Q with N=C₃⋊C₈ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁(C₃⋊S₃) = C₃³⋊₈D₈	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₃⋊C₈	72		C3:C8:1(C3:S3)	432,438
C₃⋊C₈⋊₂(C₃⋊S₃) = C₃³⋊₁₆SD₁₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₃⋊C₈	144		C3:C8:2(C3:S3)	432,443
C₃⋊C₈⋊₃(C₃⋊S₃) = C₃³⋊₁₇SD₁₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₃⋊C₈	72		C3:C8:3(C3:S3)	432,444
C₃⋊C₈⋊₄(C₃⋊S₃) = C₃³⋊₈M₄(2)	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₃⋊C₈	144		C3:C8:4(C3:S3)	432,434
C₃⋊C₈⋊₅(C₃⋊S₃) = C₃³⋊₉M₄(2)	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₃⋊C₈	72		C3:C8:5(C3:S3)	432,435
C₃⋊C₈⋊₆(C₃⋊S₃) = C₁₂.₆₉S₃²	φ: trivial image	72		C3:C8:6(C3:S3)	432,432

Non-split extensions G=N.Q with N=C₃⋊C₈ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.(C₃⋊S₃) = C₃³⋊₈Q₁₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₃⋊C₈	144		C3:C8.(C3:S3)	432,447

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