Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₉⋊D₄

Direct product G=N×Q with N=C₃ and Q=C₂×C₉⋊D₄

		d	ρ	Label	ID
C₆×C₉⋊D₄		72		C6xC9:D4	432,374

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₉⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₉⋊D₄) = C₂×C₉⋊D₁₂	φ: C₂×C₉⋊D₄/C₂×Dic₉ → C₂ ⊆ Aut C₃	72		C3:1(C2xC9:D4)	432,312
C₃⋊₂(C₂×C₉⋊D₄) = S₃×C₉⋊D₄	φ: C₂×C₉⋊D₄/C₉⋊D₄ → C₂ ⊆ Aut C₃	72	4	C3:2(C2xC9:D4)	432,313
C₃⋊₃(C₂×C₉⋊D₄) = C₂×D₆⋊D₉	φ: C₂×C₉⋊D₄/C₂²×D₉ → C₂ ⊆ Aut C₃	144		C3:3(C2xC9:D4)	432,311
C₃⋊₄(C₂×C₉⋊D₄) = C₂×C₆.D₁₈	φ: C₂×C₉⋊D₄/C₂²×C₁₈ → C₂ ⊆ Aut C₃	216		C3:4(C2xC9:D4)	432,397

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₉⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₉⋊D₄) = C₂×C₂₇⋊D₄	φ: C₂×C₉⋊D₄/C₂²×C₁₈ → C₂ ⊆ Aut C₃	216		C3.(C2xC9:D4)	432,52

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