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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²×C₉⋊C₆) = C₂×C₄×C₉⋊C₆	central extension (φ=1)	72		C2.1(C2^2xC9:C6)	432,353
C₂.₂(C₂²×C₉⋊C₆) = C₂²×C₉⋊C₁₂	central extension (φ=1)	144		C2.2(C2^2xC9:C6)	432,378
C₂.₃(C₂²×C₉⋊C₆) = C₂×C₃₆.C₆	central stem extension (φ=1)	144		C2.3(C2^2xC9:C6)	432,352
C₂.₄(C₂²×C₉⋊C₆) = C₂×D₃₆⋊C₃	central stem extension (φ=1)	72		C2.4(C2^2xC9:C6)	432,354
C₂.₅(C₂²×C₉⋊C₆) = D₃₆⋊₆C₆	central stem extension (φ=1)	72	6	C2.5(C2^2xC9:C6)	432,355
C₂.₆(C₂²×C₉⋊C₆) = D₄×C₉⋊C₆	central stem extension (φ=1)	36	12+	C2.6(C2^2xC9:C6)	432,362
C₂.₇(C₂²×C₉⋊C₆) = Dic₁₈⋊₂C₆	central stem extension (φ=1)	72	12-	C2.7(C2^2xC9:C6)	432,363
C₂.₈(C₂²×C₉⋊C₆) = Q₈×C₉⋊C₆	central stem extension (φ=1)	72	12-	C2.8(C2^2xC9:C6)	432,370
C₂.₉(C₂²×C₉⋊C₆) = D₃₆⋊₃C₆	central stem extension (φ=1)	72	12+	C2.9(C2^2xC9:C6)	432,371
C₂.₁₀(C₂²×C₉⋊C₆) = C₂×Dic₉⋊C₆	central stem extension (φ=1)	72		C2.10(C2^2xC9:C6)	432,379

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