Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₃⋊S₃

Direct product G=N×Q with N=Dic₆ and Q=C₃⋊S₃

		d	ρ	Label	ID
C₃⋊S₃×Dic₆		144		C3:S3xDic6	432,663

Semidirect products G=N:Q with N=Dic₆ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁(C₃⋊S₃) = C₃³⋊₁₅SD₁₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out Dic₆	72		Dic6:1(C3:S3)	432,442
Dic₆⋊₂(C₃⋊S₃) = C₃³⋊₁₃SD₁₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out Dic₆	144		Dic6:2(C3:S3)	432,440
Dic₆⋊₃(C₃⋊S₃) = C₁₂.₃₉S₃²	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out Dic₆	72		Dic6:3(C3:S3)	432,664
Dic₆⋊₄(C₃⋊S₃) = C₃²⋊₉(S₃×Q₈)	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out Dic₆	72		Dic6:4(C3:S3)	432,666
Dic₆⋊₅(C₃⋊S₃) = C₁₂.₄₀S₃²	φ: trivial image	72		Dic6:5(C3:S3)	432,665

Non-split extensions G=N.Q with N=Dic₆ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁(C₃⋊S₃) = C₃³⋊₇Q₁₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out Dic₆	144		Dic6.1(C3:S3)	432,446
Dic₆.₂(C₃⋊S₃) = C₃³⋊₆Q₁₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out Dic₆	144		Dic6.2(C3:S3)	432,445

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