# 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
dρLabelID
C23×C9⋊C672C2^3xC9:C6432,559

Semidirect products G=N:Q with N=C22 and Q=C2×C9⋊C6
extensionφ:Q→Aut NdρLabelID
C22⋊(C2×C9⋊C6) = C2×C32.S4φ: C2×C9⋊C6/C3×C6S3 ⊆ Aut C22186+C2^2:(C2xC9:C6)432,533
C222(C2×C9⋊C6) = C2×D9⋊A4φ: C2×C9⋊C6/D18C3 ⊆ Aut C22546+C2^2:2(C2xC9:C6)432,539
C223(C2×C9⋊C6) = D4×C9⋊C6φ: C2×C9⋊C6/C9⋊C6C2 ⊆ Aut C223612+C2^2:3(C2xC9:C6)432,362
C224(C2×C9⋊C6) = C2×Dic9⋊C6φ: C2×C9⋊C6/C2×3- 1+2C2 ⊆ Aut C2272C2^2:4(C2xC9:C6)432,379

Non-split extensions G=N.Q with N=C22 and Q=C2×C9⋊C6
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C9⋊C6) = Dic182C6φ: C2×C9⋊C6/C9⋊C6C2 ⊆ Aut C227212-C2^2.1(C2xC9:C6)432,363
C22.2(C2×C9⋊C6) = D366C6φ: C2×C9⋊C6/C2×3- 1+2C2 ⊆ Aut C22726C2^2.2(C2xC9:C6)432,355
C22.3(C2×C9⋊C6) = C4×C9⋊C12central extension (φ=1)144C2^2.3(C2xC9:C6)432,144
C22.4(C2×C9⋊C6) = Dic9⋊C12central extension (φ=1)144C2^2.4(C2xC9:C6)432,145
C22.5(C2×C9⋊C6) = C36⋊C12central extension (φ=1)144C2^2.5(C2xC9:C6)432,146
C22.6(C2×C9⋊C6) = D18⋊C12central extension (φ=1)72C2^2.6(C2xC9:C6)432,147
C22.7(C2×C9⋊C6) = C62.27D6central extension (φ=1)72C2^2.7(C2xC9:C6)432,167
C22.8(C2×C9⋊C6) = C2×C36.C6central extension (φ=1)144C2^2.8(C2xC9:C6)432,352
C22.9(C2×C9⋊C6) = C2×C4×C9⋊C6central extension (φ=1)72C2^2.9(C2xC9:C6)432,353
C22.10(C2×C9⋊C6) = C2×D36⋊C3central extension (φ=1)72C2^2.10(C2xC9:C6)432,354
C22.11(C2×C9⋊C6) = C22×C9⋊C12central extension (φ=1)144C2^2.11(C2xC9:C6)432,378

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