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Extensions 1→N→G→Q→1 with N=C36 and Q=D6

Direct product G=NxQ with N=C36 and Q=D6
dρLabelID
S3xC2xC36144S3xC2xC36432,345

Semidirect products G=N:Q with N=C36 and Q=D6
extensionφ:Q→Aut NdρLabelID
C36:1D6 = D9xD12φ: D6/C3 → C22 ⊆ Aut C36724+C36:1D6432,292
C36:2D6 = C36:D6φ: D6/C3 → C22 ⊆ Aut C36724C36:2D6432,293
C36:3D6 = D4xC9:S3φ: D6/C3 → C22 ⊆ Aut C36108C36:3D6432,388
C36:4D6 = S3xD36φ: D6/S3 → C2 ⊆ Aut C36724+C36:4D6432,291
C36:5D6 = C4xS3xD9φ: D6/S3 → C2 ⊆ Aut C36724C36:5D6432,290
C36:6D6 = S3xD4xC9φ: D6/S3 → C2 ⊆ Aut C36724C36:6D6432,358
C36:7D6 = C2xC36:S3φ: D6/C6 → C2 ⊆ Aut C36216C36:7D6432,382
C36:8D6 = C2xC4xC9:S3φ: D6/C6 → C2 ⊆ Aut C36216C36:8D6432,381
C36:9D6 = C18xD12φ: D6/C6 → C2 ⊆ Aut C36144C36:9D6432,346

Non-split extensions G=N.Q with N=C36 and Q=D6
extensionφ:Q→Aut NdρLabelID
C36.1D6 = D4.D27φ: D6/C3 → C22 ⊆ Aut C362164-C36.1D6432,15
C36.2D6 = D4:D27φ: D6/C3 → C22 ⊆ Aut C362164+C36.2D6432,16
C36.3D6 = C27:Q16φ: D6/C3 → C22 ⊆ Aut C364324-C36.3D6432,17
C36.4D6 = Q8:2D27φ: D6/C3 → C22 ⊆ Aut C362164+C36.4D6432,18
C36.5D6 = D4xD27φ: D6/C3 → C22 ⊆ Aut C361084+C36.5D6432,47
C36.6D6 = D4:2D27φ: D6/C3 → C22 ⊆ Aut C362164-C36.6D6432,48
C36.7D6 = Q8xD27φ: D6/C3 → C22 ⊆ Aut C362164-C36.7D6432,49
C36.8D6 = Q8:3D27φ: D6/C3 → C22 ⊆ Aut C362164+C36.8D6432,50
C36.9D6 = D36:S3φ: D6/C3 → C22 ⊆ Aut C361444C36.9D6432,68
C36.10D6 = C9:D24φ: D6/C3 → C22 ⊆ Aut C36724+C36.10D6432,69
C36.11D6 = D12.D9φ: D6/C3 → C22 ⊆ Aut C361444C36.11D6432,70
C36.12D6 = C36.D6φ: D6/C3 → C22 ⊆ Aut C361444-C36.12D6432,71
C36.13D6 = Dic6:D9φ: D6/C3 → C22 ⊆ Aut C361444C36.13D6432,72
C36.14D6 = C18.D12φ: D6/C3 → C22 ⊆ Aut C36724+C36.14D6432,73
C36.15D6 = C12.D18φ: D6/C3 → C22 ⊆ Aut C361444C36.15D6432,74
C36.16D6 = C9:Dic12φ: D6/C3 → C22 ⊆ Aut C361444-C36.16D6432,75
C36.17D6 = C36.17D6φ: D6/C3 → C22 ⊆ Aut C36216C36.17D6432,190
C36.18D6 = C36.18D6φ: D6/C3 → C22 ⊆ Aut C36216C36.18D6432,191
C36.19D6 = C36.19D6φ: D6/C3 → C22 ⊆ Aut C36432C36.19D6432,194
C36.20D6 = C36.20D6φ: D6/C3 → C22 ⊆ Aut C36216C36.20D6432,195
C36.21D6 = D9xDic6φ: D6/C3 → C22 ⊆ Aut C361444-C36.21D6432,280
C36.22D6 = D18.D6φ: D6/C3 → C22 ⊆ Aut C36724C36.22D6432,281
C36.23D6 = Dic6:5D9φ: D6/C3 → C22 ⊆ Aut C36724+C36.23D6432,282
C36.24D6 = Dic18:S3φ: D6/C3 → C22 ⊆ Aut C36724C36.24D6432,283
C36.25D6 = D12:5D9φ: D6/C3 → C22 ⊆ Aut C361444-C36.25D6432,285
C36.26D6 = D12:D9φ: D6/C3 → C22 ⊆ Aut C36724C36.26D6432,286
C36.27D6 = C36.27D6φ: D6/C3 → C22 ⊆ Aut C36216C36.27D6432,389
C36.28D6 = Q8xC9:S3φ: D6/C3 → C22 ⊆ Aut C36216C36.28D6432,392
C36.29D6 = C36.29D6φ: D6/C3 → C22 ⊆ Aut C36216C36.29D6432,393
C36.30D6 = D36.S3φ: D6/S3 → C2 ⊆ Aut C361444-C36.30D6432,62
C36.31D6 = C6.D36φ: D6/S3 → C2 ⊆ Aut C36724+C36.31D6432,63
C36.32D6 = C3:D72φ: D6/S3 → C2 ⊆ Aut C36724+C36.32D6432,64
C36.33D6 = C3:Dic36φ: D6/S3 → C2 ⊆ Aut C361444-C36.33D6432,65
C36.34D6 = S3xDic18φ: D6/S3 → C2 ⊆ Aut C361444-C36.34D6432,284
C36.35D6 = D36:5S3φ: D6/S3 → C2 ⊆ Aut C361444-C36.35D6432,288
C36.36D6 = Dic9.D6φ: D6/S3 → C2 ⊆ Aut C36724+C36.36D6432,289
C36.37D6 = D9xC3:C8φ: D6/S3 → C2 ⊆ Aut C361444C36.37D6432,58
C36.38D6 = C36.38D6φ: D6/S3 → C2 ⊆ Aut C36724C36.38D6432,59
C36.39D6 = C36.39D6φ: D6/S3 → C2 ⊆ Aut C361444C36.39D6432,60
C36.40D6 = C36.40D6φ: D6/S3 → C2 ⊆ Aut C36724C36.40D6432,61
C36.41D6 = S3xC9:C8φ: D6/S3 → C2 ⊆ Aut C361444C36.41D6432,66
C36.42D6 = D6.Dic9φ: D6/S3 → C2 ⊆ Aut C361444C36.42D6432,67
C36.43D6 = D6.D18φ: D6/S3 → C2 ⊆ Aut C36724C36.43D6432,287
C36.44D6 = C9xD4:S3φ: D6/S3 → C2 ⊆ Aut C36724C36.44D6432,150
C36.45D6 = C9xD4.S3φ: D6/S3 → C2 ⊆ Aut C36724C36.45D6432,151
C36.46D6 = C9xQ8:2S3φ: D6/S3 → C2 ⊆ Aut C361444C36.46D6432,158
C36.47D6 = C9xC3:Q16φ: D6/S3 → C2 ⊆ Aut C361444C36.47D6432,159
C36.48D6 = C9xD4:2S3φ: D6/S3 → C2 ⊆ Aut C36724C36.48D6432,359
C36.49D6 = S3xQ8xC9φ: D6/S3 → C2 ⊆ Aut C361444C36.49D6432,366
C36.50D6 = C9xQ8:3S3φ: D6/S3 → C2 ⊆ Aut C361444C36.50D6432,367
C36.51D6 = Dic108φ: D6/C6 → C2 ⊆ Aut C364322-C36.51D6432,4
C36.52D6 = C216:C2φ: D6/C6 → C2 ⊆ Aut C362162C36.52D6432,7
C36.53D6 = D216φ: D6/C6 → C2 ⊆ Aut C362162+C36.53D6432,8
C36.54D6 = C2xDic54φ: D6/C6 → C2 ⊆ Aut C36432C36.54D6432,43
C36.55D6 = C2xD108φ: D6/C6 → C2 ⊆ Aut C36216C36.55D6432,45
C36.56D6 = C24.D9φ: D6/C6 → C2 ⊆ Aut C36432C36.56D6432,168
C36.57D6 = C24:D9φ: D6/C6 → C2 ⊆ Aut C36216C36.57D6432,171
C36.58D6 = C72:1S3φ: D6/C6 → C2 ⊆ Aut C36216C36.58D6432,172
C36.59D6 = C2xC12.D9φ: D6/C6 → C2 ⊆ Aut C36432C36.59D6432,380
C36.60D6 = C8xD27φ: D6/C6 → C2 ⊆ Aut C362162C36.60D6432,5
C36.61D6 = C8:D27φ: D6/C6 → C2 ⊆ Aut C362162C36.61D6432,6
C36.62D6 = C2xC27:C8φ: D6/C6 → C2 ⊆ Aut C36432C36.62D6432,9
C36.63D6 = C4.Dic27φ: D6/C6 → C2 ⊆ Aut C362162C36.63D6432,10
C36.64D6 = C2xC4xD27φ: D6/C6 → C2 ⊆ Aut C36216C36.64D6432,44
C36.65D6 = D108:5C2φ: D6/C6 → C2 ⊆ Aut C362162C36.65D6432,46
C36.66D6 = C8xC9:S3φ: D6/C6 → C2 ⊆ Aut C36216C36.66D6432,169
C36.67D6 = C72:S3φ: D6/C6 → C2 ⊆ Aut C36216C36.67D6432,170
C36.68D6 = C2xC36.S3φ: D6/C6 → C2 ⊆ Aut C36432C36.68D6432,178
C36.69D6 = C36.69D6φ: D6/C6 → C2 ⊆ Aut C36216C36.69D6432,179
C36.70D6 = C36.70D6φ: D6/C6 → C2 ⊆ Aut C36216C36.70D6432,383
C36.71D6 = C9xC24:C2φ: D6/C6 → C2 ⊆ Aut C361442C36.71D6432,111
C36.72D6 = C9xD24φ: D6/C6 → C2 ⊆ Aut C361442C36.72D6432,112
C36.73D6 = C9xDic12φ: D6/C6 → C2 ⊆ Aut C361442C36.73D6432,113
C36.74D6 = C18xDic6φ: D6/C6 → C2 ⊆ Aut C36144C36.74D6432,341
C36.75D6 = C9xC4oD12φ: D6/C6 → C2 ⊆ Aut C36722C36.75D6432,347
C36.76D6 = S3xC72central extension (φ=1)1442C36.76D6432,109
C36.77D6 = C9xC8:S3central extension (φ=1)1442C36.77D6432,110
C36.78D6 = C18xC3:C8central extension (φ=1)144C36.78D6432,126
C36.79D6 = C9xC4.Dic3central extension (φ=1)722C36.79D6432,127

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