# Extensions 1→N→G→Q→1 with N=C18 and Q=C22×S3

Direct product G=N×Q with N=C18 and Q=C22×S3
dρLabelID
S3×C22×C18144S3xC2^2xC18432,557

Semidirect products G=N:Q with N=C18 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C181(C22×S3) = C22×S3×D9φ: C22×S3/D6C2 ⊆ Aut C1872C18:1(C2^2xS3)432,544
C182(C22×S3) = C23×C9⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18:2(C2^2xS3)432,560

Non-split extensions G=N.Q with N=C18 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C18.1(C22×S3) = D9×Dic6φ: C22×S3/D6C2 ⊆ Aut C181444-C18.1(C2^2xS3)432,280
C18.2(C22×S3) = D18.D6φ: C22×S3/D6C2 ⊆ Aut C18724C18.2(C2^2xS3)432,281
C18.3(C22×S3) = Dic65D9φ: C22×S3/D6C2 ⊆ Aut C18724+C18.3(C2^2xS3)432,282
C18.4(C22×S3) = Dic18⋊S3φ: C22×S3/D6C2 ⊆ Aut C18724C18.4(C2^2xS3)432,283
C18.5(C22×S3) = S3×Dic18φ: C22×S3/D6C2 ⊆ Aut C181444-C18.5(C2^2xS3)432,284
C18.6(C22×S3) = D125D9φ: C22×S3/D6C2 ⊆ Aut C181444-C18.6(C2^2xS3)432,285
C18.7(C22×S3) = D12⋊D9φ: C22×S3/D6C2 ⊆ Aut C18724C18.7(C2^2xS3)432,286
C18.8(C22×S3) = D6.D18φ: C22×S3/D6C2 ⊆ Aut C18724C18.8(C2^2xS3)432,287
C18.9(C22×S3) = D365S3φ: C22×S3/D6C2 ⊆ Aut C181444-C18.9(C2^2xS3)432,288
C18.10(C22×S3) = Dic9.D6φ: C22×S3/D6C2 ⊆ Aut C18724+C18.10(C2^2xS3)432,289
C18.11(C22×S3) = C4×S3×D9φ: C22×S3/D6C2 ⊆ Aut C18724C18.11(C2^2xS3)432,290
C18.12(C22×S3) = S3×D36φ: C22×S3/D6C2 ⊆ Aut C18724+C18.12(C2^2xS3)432,291
C18.13(C22×S3) = D9×D12φ: C22×S3/D6C2 ⊆ Aut C18724+C18.13(C2^2xS3)432,292
C18.14(C22×S3) = C36⋊D6φ: C22×S3/D6C2 ⊆ Aut C18724C18.14(C2^2xS3)432,293
C18.15(C22×S3) = C2×C9⋊Dic6φ: C22×S3/D6C2 ⊆ Aut C18144C18.15(C2^2xS3)432,303
C18.16(C22×S3) = C2×Dic3×D9φ: C22×S3/D6C2 ⊆ Aut C18144C18.16(C2^2xS3)432,304
C18.17(C22×S3) = D18.3D6φ: C22×S3/D6C2 ⊆ Aut C18724C18.17(C2^2xS3)432,305
C18.18(C22×S3) = C2×C18.D6φ: C22×S3/D6C2 ⊆ Aut C1872C18.18(C2^2xS3)432,306
C18.19(C22×S3) = C2×C3⋊D36φ: C22×S3/D6C2 ⊆ Aut C1872C18.19(C2^2xS3)432,307
C18.20(C22×S3) = C2×S3×Dic9φ: C22×S3/D6C2 ⊆ Aut C18144C18.20(C2^2xS3)432,308
C18.21(C22×S3) = Dic3.D18φ: C22×S3/D6C2 ⊆ Aut C18724C18.21(C2^2xS3)432,309
C18.22(C22×S3) = D18.4D6φ: C22×S3/D6C2 ⊆ Aut C18724-C18.22(C2^2xS3)432,310
C18.23(C22×S3) = C2×D6⋊D9φ: C22×S3/D6C2 ⊆ Aut C18144C18.23(C2^2xS3)432,311
C18.24(C22×S3) = C2×C9⋊D12φ: C22×S3/D6C2 ⊆ Aut C1872C18.24(C2^2xS3)432,312
C18.25(C22×S3) = S3×C9⋊D4φ: C22×S3/D6C2 ⊆ Aut C18724C18.25(C2^2xS3)432,313
C18.26(C22×S3) = D9×C3⋊D4φ: C22×S3/D6C2 ⊆ Aut C18724C18.26(C2^2xS3)432,314
C18.27(C22×S3) = D18⋊D6φ: C22×S3/D6C2 ⊆ Aut C18364+C18.27(C2^2xS3)432,315
C18.28(C22×S3) = C2×Dic54φ: C22×S3/C2×C6C2 ⊆ Aut C18432C18.28(C2^2xS3)432,43
C18.29(C22×S3) = C2×C4×D27φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.29(C2^2xS3)432,44
C18.30(C22×S3) = C2×D108φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.30(C2^2xS3)432,45
C18.31(C22×S3) = D1085C2φ: C22×S3/C2×C6C2 ⊆ Aut C182162C18.31(C2^2xS3)432,46
C18.32(C22×S3) = D4×D27φ: C22×S3/C2×C6C2 ⊆ Aut C181084+C18.32(C2^2xS3)432,47
C18.33(C22×S3) = D42D27φ: C22×S3/C2×C6C2 ⊆ Aut C182164-C18.33(C2^2xS3)432,48
C18.34(C22×S3) = Q8×D27φ: C22×S3/C2×C6C2 ⊆ Aut C182164-C18.34(C2^2xS3)432,49
C18.35(C22×S3) = Q83D27φ: C22×S3/C2×C6C2 ⊆ Aut C182164+C18.35(C2^2xS3)432,50
C18.36(C22×S3) = C22×Dic27φ: C22×S3/C2×C6C2 ⊆ Aut C18432C18.36(C2^2xS3)432,51
C18.37(C22×S3) = C2×C27⋊D4φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.37(C2^2xS3)432,52
C18.38(C22×S3) = C23×D27φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.38(C2^2xS3)432,227
C18.39(C22×S3) = C2×C12.D9φ: C22×S3/C2×C6C2 ⊆ Aut C18432C18.39(C2^2xS3)432,380
C18.40(C22×S3) = C2×C4×C9⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.40(C2^2xS3)432,381
C18.41(C22×S3) = C2×C36⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.41(C2^2xS3)432,382
C18.42(C22×S3) = C36.70D6φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.42(C2^2xS3)432,383
C18.43(C22×S3) = D4×C9⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C18108C18.43(C2^2xS3)432,388
C18.44(C22×S3) = C36.27D6φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.44(C2^2xS3)432,389
C18.45(C22×S3) = Q8×C9⋊S3φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.45(C2^2xS3)432,392
C18.46(C22×S3) = C36.29D6φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.46(C2^2xS3)432,393
C18.47(C22×S3) = C22×C9⋊Dic3φ: C22×S3/C2×C6C2 ⊆ Aut C18432C18.47(C2^2xS3)432,396
C18.48(C22×S3) = C2×C6.D18φ: C22×S3/C2×C6C2 ⊆ Aut C18216C18.48(C2^2xS3)432,397
C18.49(C22×S3) = C18×Dic6central extension (φ=1)144C18.49(C2^2xS3)432,341
C18.50(C22×S3) = S3×C2×C36central extension (φ=1)144C18.50(C2^2xS3)432,345
C18.51(C22×S3) = C18×D12central extension (φ=1)144C18.51(C2^2xS3)432,346
C18.52(C22×S3) = C9×C4○D12central extension (φ=1)722C18.52(C2^2xS3)432,347
C18.53(C22×S3) = S3×D4×C9central extension (φ=1)724C18.53(C2^2xS3)432,358
C18.54(C22×S3) = C9×D42S3central extension (φ=1)724C18.54(C2^2xS3)432,359
C18.55(C22×S3) = S3×Q8×C9central extension (φ=1)1444C18.55(C2^2xS3)432,366
C18.56(C22×S3) = C9×Q83S3central extension (φ=1)1444C18.56(C2^2xS3)432,367
C18.57(C22×S3) = Dic3×C2×C18central extension (φ=1)144C18.57(C2^2xS3)432,373
C18.58(C22×S3) = C18×C3⋊D4central extension (φ=1)72C18.58(C2^2xS3)432,375

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