# Extensions 1→N→G→Q→1 with N=C6 and Q=C22×D9

Direct product G=N×Q with N=C6 and Q=C22×D9
dρLabelID
D9×C22×C6144D9xC2^2xC6432,556

Semidirect products G=N:Q with N=C6 and Q=C22×D9
extensionφ:Q→Aut NdρLabelID
C61(C22×D9) = C22×S3×D9φ: C22×D9/D18C2 ⊆ Aut C672C6:1(C2^2xD9)432,544
C62(C22×D9) = C23×C9⋊S3φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6:2(C2^2xD9)432,560

Non-split extensions G=N.Q with N=C6 and Q=C22×D9
extensionφ:Q→Aut NdρLabelID
C6.1(C22×D9) = D9×Dic6φ: C22×D9/D18C2 ⊆ Aut C61444-C6.1(C2^2xD9)432,280
C6.2(C22×D9) = D18.D6φ: C22×D9/D18C2 ⊆ Aut C6724C6.2(C2^2xD9)432,281
C6.3(C22×D9) = Dic65D9φ: C22×D9/D18C2 ⊆ Aut C6724+C6.3(C2^2xD9)432,282
C6.4(C22×D9) = Dic18⋊S3φ: C22×D9/D18C2 ⊆ Aut C6724C6.4(C2^2xD9)432,283
C6.5(C22×D9) = S3×Dic18φ: C22×D9/D18C2 ⊆ Aut C61444-C6.5(C2^2xD9)432,284
C6.6(C22×D9) = D125D9φ: C22×D9/D18C2 ⊆ Aut C61444-C6.6(C2^2xD9)432,285
C6.7(C22×D9) = D12⋊D9φ: C22×D9/D18C2 ⊆ Aut C6724C6.7(C2^2xD9)432,286
C6.8(C22×D9) = D6.D18φ: C22×D9/D18C2 ⊆ Aut C6724C6.8(C2^2xD9)432,287
C6.9(C22×D9) = D365S3φ: C22×D9/D18C2 ⊆ Aut C61444-C6.9(C2^2xD9)432,288
C6.10(C22×D9) = Dic9.D6φ: C22×D9/D18C2 ⊆ Aut C6724+C6.10(C2^2xD9)432,289
C6.11(C22×D9) = C4×S3×D9φ: C22×D9/D18C2 ⊆ Aut C6724C6.11(C2^2xD9)432,290
C6.12(C22×D9) = S3×D36φ: C22×D9/D18C2 ⊆ Aut C6724+C6.12(C2^2xD9)432,291
C6.13(C22×D9) = D9×D12φ: C22×D9/D18C2 ⊆ Aut C6724+C6.13(C2^2xD9)432,292
C6.14(C22×D9) = C36⋊D6φ: C22×D9/D18C2 ⊆ Aut C6724C6.14(C2^2xD9)432,293
C6.15(C22×D9) = C2×C9⋊Dic6φ: C22×D9/D18C2 ⊆ Aut C6144C6.15(C2^2xD9)432,303
C6.16(C22×D9) = C2×Dic3×D9φ: C22×D9/D18C2 ⊆ Aut C6144C6.16(C2^2xD9)432,304
C6.17(C22×D9) = D18.3D6φ: C22×D9/D18C2 ⊆ Aut C6724C6.17(C2^2xD9)432,305
C6.18(C22×D9) = C2×C18.D6φ: C22×D9/D18C2 ⊆ Aut C672C6.18(C2^2xD9)432,306
C6.19(C22×D9) = C2×C3⋊D36φ: C22×D9/D18C2 ⊆ Aut C672C6.19(C2^2xD9)432,307
C6.20(C22×D9) = C2×S3×Dic9φ: C22×D9/D18C2 ⊆ Aut C6144C6.20(C2^2xD9)432,308
C6.21(C22×D9) = Dic3.D18φ: C22×D9/D18C2 ⊆ Aut C6724C6.21(C2^2xD9)432,309
C6.22(C22×D9) = D18.4D6φ: C22×D9/D18C2 ⊆ Aut C6724-C6.22(C2^2xD9)432,310
C6.23(C22×D9) = C2×D6⋊D9φ: C22×D9/D18C2 ⊆ Aut C6144C6.23(C2^2xD9)432,311
C6.24(C22×D9) = C2×C9⋊D12φ: C22×D9/D18C2 ⊆ Aut C672C6.24(C2^2xD9)432,312
C6.25(C22×D9) = S3×C9⋊D4φ: C22×D9/D18C2 ⊆ Aut C6724C6.25(C2^2xD9)432,313
C6.26(C22×D9) = D9×C3⋊D4φ: C22×D9/D18C2 ⊆ Aut C6724C6.26(C2^2xD9)432,314
C6.27(C22×D9) = D18⋊D6φ: C22×D9/D18C2 ⊆ Aut C6364+C6.27(C2^2xD9)432,315
C6.28(C22×D9) = C2×Dic54φ: C22×D9/C2×C18C2 ⊆ Aut C6432C6.28(C2^2xD9)432,43
C6.29(C22×D9) = C2×C4×D27φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.29(C2^2xD9)432,44
C6.30(C22×D9) = C2×D108φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.30(C2^2xD9)432,45
C6.31(C22×D9) = D1085C2φ: C22×D9/C2×C18C2 ⊆ Aut C62162C6.31(C2^2xD9)432,46
C6.32(C22×D9) = D4×D27φ: C22×D9/C2×C18C2 ⊆ Aut C61084+C6.32(C2^2xD9)432,47
C6.33(C22×D9) = D42D27φ: C22×D9/C2×C18C2 ⊆ Aut C62164-C6.33(C2^2xD9)432,48
C6.34(C22×D9) = Q8×D27φ: C22×D9/C2×C18C2 ⊆ Aut C62164-C6.34(C2^2xD9)432,49
C6.35(C22×D9) = Q83D27φ: C22×D9/C2×C18C2 ⊆ Aut C62164+C6.35(C2^2xD9)432,50
C6.36(C22×D9) = C22×Dic27φ: C22×D9/C2×C18C2 ⊆ Aut C6432C6.36(C2^2xD9)432,51
C6.37(C22×D9) = C2×C27⋊D4φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.37(C2^2xD9)432,52
C6.38(C22×D9) = C23×D27φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.38(C2^2xD9)432,227
C6.39(C22×D9) = C2×C12.D9φ: C22×D9/C2×C18C2 ⊆ Aut C6432C6.39(C2^2xD9)432,380
C6.40(C22×D9) = C2×C4×C9⋊S3φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.40(C2^2xD9)432,381
C6.41(C22×D9) = C2×C36⋊S3φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.41(C2^2xD9)432,382
C6.42(C22×D9) = C36.70D6φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.42(C2^2xD9)432,383
C6.43(C22×D9) = D4×C9⋊S3φ: C22×D9/C2×C18C2 ⊆ Aut C6108C6.43(C2^2xD9)432,388
C6.44(C22×D9) = C36.27D6φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.44(C2^2xD9)432,389
C6.45(C22×D9) = Q8×C9⋊S3φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.45(C2^2xD9)432,392
C6.46(C22×D9) = C36.29D6φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.46(C2^2xD9)432,393
C6.47(C22×D9) = C22×C9⋊Dic3φ: C22×D9/C2×C18C2 ⊆ Aut C6432C6.47(C2^2xD9)432,396
C6.48(C22×D9) = C2×C6.D18φ: C22×D9/C2×C18C2 ⊆ Aut C6216C6.48(C2^2xD9)432,397
C6.49(C22×D9) = C6×Dic18central extension (φ=1)144C6.49(C2^2xD9)432,340
C6.50(C22×D9) = D9×C2×C12central extension (φ=1)144C6.50(C2^2xD9)432,342
C6.51(C22×D9) = C6×D36central extension (φ=1)144C6.51(C2^2xD9)432,343
C6.52(C22×D9) = C3×D365C2central extension (φ=1)722C6.52(C2^2xD9)432,344
C6.53(C22×D9) = C3×D4×D9central extension (φ=1)724C6.53(C2^2xD9)432,356
C6.54(C22×D9) = C3×D42D9central extension (φ=1)724C6.54(C2^2xD9)432,357
C6.55(C22×D9) = C3×Q8×D9central extension (φ=1)1444C6.55(C2^2xD9)432,364
C6.56(C22×D9) = C3×Q83D9central extension (φ=1)1444C6.56(C2^2xD9)432,365
C6.57(C22×D9) = C2×C6×Dic9central extension (φ=1)144C6.57(C2^2xD9)432,372
C6.58(C22×D9) = C6×C9⋊D4central extension (φ=1)72C6.58(C2^2xD9)432,374

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