Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₃xC₃:S₃

Direct product G=NxQ with N=C₂xC₄ and Q=C₃xC₃:S₃

		d	ρ	Label	ID
C₃:S₃xC₂xC₁₂		144		C3:S3xC2xC12	432,711

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₃xC₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁(C₃xC₃:S₃) = C₃xC₆.₁₁D₁₂	φ: C₃xC₃:S₃/C₃³ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4):1(C3xC3:S3)	432,490
(C₂xC₄):₂(C₃xC₃:S₃) = C₆xC₁₂:S₃	φ: C₃xC₃:S₃/C₃³ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4):2(C3xC3:S3)	432,712
(C₂xC₄):₃(C₃xC₃:S₃) = C₃xC₁₂.₅₉D₆	φ: C₃xC₃:S₃/C₃³ → C₂ ⊆ Aut C₂xC₄	72		(C2xC4):3(C3xC3:S3)	432,713

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₃xC₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁(C₃xC₃:S₃) = C₃xC₆.Dic₆	φ: C₃xC₃:S₃/C₃³ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).1(C3xC3:S3)	432,488
(C₂xC₄).₂(C₃xC₃:S₃) = C₃xC₁₂.₅₈D₆	φ: C₃xC₃:S₃/C₃³ → C₂ ⊆ Aut C₂xC₄	72		(C2xC4).2(C3xC3:S3)	432,486
(C₂xC₄).₃(C₃xC₃:S₃) = C₃xC₁₂:Dic₃	φ: C₃xC₃:S₃/C₃³ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).3(C3xC3:S3)	432,489
(C₂xC₄).₄(C₃xC₃:S₃) = C₆xC₃²:₄Q₈	φ: C₃xC₃:S₃/C₃³ → C₂ ⊆ Aut C₂xC₄	144		(C2xC4).4(C3xC3:S3)	432,710
(C₂xC₄).₅(C₃xC₃:S₃) = C₆xC₃²:₄C₈	central extension (φ=1)	144		(C2xC4).5(C3xC3:S3)	432,485
(C₂xC₄).₆(C₃xC₃:S₃) = C₁₂xC₃:Dic₃	central extension (φ=1)	144		(C2xC4).6(C3xC3:S3)	432,487

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