Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₉⋊C₆

Direct product G=N×Q with N=C₂² and Q=C₂×C₉⋊C₆

		d	ρ	Label	ID
C₂³×C₉⋊C₆		72		C2^3xC9:C6	432,559

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₉⋊C₆) = C₂×C₃².S₄	φ: C₂×C₉⋊C₆/C₃×C₆ → S₃ ⊆ Aut C₂²	18	6+	C2^2:(C2xC9:C6)	432,533
C₂²⋊₂(C₂×C₉⋊C₆) = C₂×D₉⋊A₄	φ: C₂×C₉⋊C₆/D₁₈ → C₃ ⊆ Aut C₂²	54	6+	C2^2:2(C2xC9:C6)	432,539
C₂²⋊₃(C₂×C₉⋊C₆) = D₄×C₉⋊C₆	φ: C₂×C₉⋊C₆/C₉⋊C₆ → C₂ ⊆ Aut C₂²	36	12+	C2^2:3(C2xC9:C6)	432,362
C₂²⋊₄(C₂×C₉⋊C₆) = C₂×Dic₉⋊C₆	φ: C₂×C₉⋊C₆/C₂×3_-¹⁺² → C₂ ⊆ Aut C₂²	72		C2^2:4(C2xC9:C6)	432,379

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×C₉⋊C₆) = Dic₁₈⋊₂C₆	φ: C₂×C₉⋊C₆/C₉⋊C₆ → C₂ ⊆ Aut C₂²	72	12-	C2^2.1(C2xC9:C6)	432,363
C₂².₂(C₂×C₉⋊C₆) = D₃₆⋊₆C₆	φ: C₂×C₉⋊C₆/C₂×3_-¹⁺² → C₂ ⊆ Aut C₂²	72	6	C2^2.2(C2xC9:C6)	432,355
C₂².₃(C₂×C₉⋊C₆) = C₄×C₉⋊C₁₂	central extension (φ=1)	144		C2^2.3(C2xC9:C6)	432,144
C₂².₄(C₂×C₉⋊C₆) = Dic₉⋊C₁₂	central extension (φ=1)	144		C2^2.4(C2xC9:C6)	432,145
C₂².₅(C₂×C₉⋊C₆) = C₃₆⋊C₁₂	central extension (φ=1)	144		C2^2.5(C2xC9:C6)	432,146
C₂².₆(C₂×C₉⋊C₆) = D₁₈⋊C₁₂	central extension (φ=1)	72		C2^2.6(C2xC9:C6)	432,147
C₂².₇(C₂×C₉⋊C₆) = C₆².₂₇D₆	central extension (φ=1)	72		C2^2.7(C2xC9:C6)	432,167
C₂².₈(C₂×C₉⋊C₆) = C₂×C₃₆.C₆	central extension (φ=1)	144		C2^2.8(C2xC9:C6)	432,352
C₂².₉(C₂×C₉⋊C₆) = C₂×C₄×C₉⋊C₆	central extension (φ=1)	72		C2^2.9(C2xC9:C6)	432,353
C₂².₁₀(C₂×C₉⋊C₆) = C₂×D₃₆⋊C₃	central extension (φ=1)	72		C2^2.10(C2xC9:C6)	432,354
C₂².₁₁(C₂×C₉⋊C₆) = C₂²×C₉⋊C₁₂	central extension (φ=1)	144		C2^2.11(C2xC9:C6)	432,378

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