Extensions 1→N→G→Q→1 with N=C₉ and Q=S₃×D₄

Direct product G=N×Q with N=C₉ and Q=S₃×D₄

		d	ρ	Label	ID
S₃×D₄×C₉		72	4	S3xD4xC9	432,358

Semidirect products G=N:Q with N=C₉ and Q=S₃×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(S₃×D₄) = S₃×D₃₆	φ: S₃×D₄/C₄×S₃ → C₂ ⊆ Aut C₉	72	4+	C9:1(S3xD4)	432,291
C₉⋊₂(S₃×D₄) = C₃₆⋊D₆	φ: S₃×D₄/D₁₂ → C₂ ⊆ Aut C₉	72	4	C9:2(S3xD4)	432,293
C₉⋊₃(S₃×D₄) = D₁₈⋊D₆	φ: S₃×D₄/C₃⋊D₄ → C₂ ⊆ Aut C₉	36	4+	C9:3(S3xD4)	432,315
C₉⋊₄(S₃×D₄) = D₄×C₉⋊S₃	φ: S₃×D₄/C₃×D₄ → C₂ ⊆ Aut C₉	108		C9:4(S3xD4)	432,388
C₉⋊₅(S₃×D₄) = S₃×C₉⋊D₄	φ: S₃×D₄/C₂²×S₃ → C₂ ⊆ Aut C₉	72	4	C9:5(S3xD4)	432,313

Non-split extensions G=N.Q with N=C₉ and Q=S₃×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(S₃×D₄) = D₄×D₂₇	φ: S₃×D₄/C₃×D₄ → C₂ ⊆ Aut C₉	108	4+	C9.(S3xD4)	432,47

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