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Extensions 1→N→G→Q→1 with N=C36 and Q=C2xC6

Direct product G=NxQ with N=C36 and Q=C2xC6
dρLabelID
C2xC6xC36432C2xC6xC36432,400

Semidirect products G=N:Q with N=C36 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
C36:(C2xC6) = D4xC9:C6φ: C2xC6/C1 → C2xC6 ⊆ Aut C363612+C36:(C2xC6)432,362
C36:2(C2xC6) = C2xD36:C3φ: C2xC6/C2 → C6 ⊆ Aut C3672C36:2(C2xC6)432,354
C36:3(C2xC6) = C2xC4xC9:C6φ: C2xC6/C2 → C6 ⊆ Aut C3672C36:3(C2xC6)432,353
C36:4(C2xC6) = C2xD4x3- 1+2φ: C2xC6/C2 → C6 ⊆ Aut C3672C36:4(C2xC6)432,405
C36:5(C2xC6) = C3xD4xD9φ: C2xC6/C3 → C22 ⊆ Aut C36724C36:5(C2xC6)432,356
C36:6(C2xC6) = C22xC4x3- 1+2φ: C2xC6/C22 → C3 ⊆ Aut C36144C36:6(C2xC6)432,402
C36:7(C2xC6) = C6xD36φ: C2xC6/C6 → C2 ⊆ Aut C36144C36:7(C2xC6)432,343
C36:8(C2xC6) = D9xC2xC12φ: C2xC6/C6 → C2 ⊆ Aut C36144C36:8(C2xC6)432,342
C36:9(C2xC6) = D4xC3xC18φ: C2xC6/C6 → C2 ⊆ Aut C36216C36:9(C2xC6)432,403

Non-split extensions G=N.Q with N=C36 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
C36.1(C2xC6) = Dic18:C6φ: C2xC6/C1 → C2xC6 ⊆ Aut C367212-C36.1(C2xC6)432,154
C36.2(C2xC6) = D36:C6φ: C2xC6/C1 → C2xC6 ⊆ Aut C367212+C36.2(C2xC6)432,155
C36.3(C2xC6) = Dic18.C6φ: C2xC6/C1 → C2xC6 ⊆ Aut C3614412-C36.3(C2xC6)432,162
C36.4(C2xC6) = D36.C6φ: C2xC6/C1 → C2xC6 ⊆ Aut C367212+C36.4(C2xC6)432,163
C36.5(C2xC6) = Dic18:2C6φ: C2xC6/C1 → C2xC6 ⊆ Aut C367212-C36.5(C2xC6)432,363
C36.6(C2xC6) = Q8xC9:C6φ: C2xC6/C1 → C2xC6 ⊆ Aut C367212-C36.6(C2xC6)432,370
C36.7(C2xC6) = D36:3C6φ: C2xC6/C1 → C2xC6 ⊆ Aut C367212+C36.7(C2xC6)432,371
C36.8(C2xC6) = C72.C6φ: C2xC6/C2 → C6 ⊆ Aut C361446-C36.8(C2xC6)432,119
C36.9(C2xC6) = C72:2C6φ: C2xC6/C2 → C6 ⊆ Aut C36726C36.9(C2xC6)432,122
C36.10(C2xC6) = D72:C3φ: C2xC6/C2 → C6 ⊆ Aut C36726+C36.10(C2xC6)432,123
C36.11(C2xC6) = C2xC36.C6φ: C2xC6/C2 → C6 ⊆ Aut C36144C36.11(C2xC6)432,352
C36.12(C2xC6) = D36:6C6φ: C2xC6/C2 → C6 ⊆ Aut C36726C36.12(C2xC6)432,355
C36.13(C2xC6) = C8xC9:C6φ: C2xC6/C2 → C6 ⊆ Aut C36726C36.13(C2xC6)432,120
C36.14(C2xC6) = C72:C6φ: C2xC6/C2 → C6 ⊆ Aut C36726C36.14(C2xC6)432,121
C36.15(C2xC6) = C2xC9:C24φ: C2xC6/C2 → C6 ⊆ Aut C36144C36.15(C2xC6)432,142
C36.16(C2xC6) = C36.C12φ: C2xC6/C2 → C6 ⊆ Aut C36726C36.16(C2xC6)432,143
C36.17(C2xC6) = D8x3- 1+2φ: C2xC6/C2 → C6 ⊆ Aut C36726C36.17(C2xC6)432,217
C36.18(C2xC6) = SD16x3- 1+2φ: C2xC6/C2 → C6 ⊆ Aut C36726C36.18(C2xC6)432,220
C36.19(C2xC6) = Q16x3- 1+2φ: C2xC6/C2 → C6 ⊆ Aut C361446C36.19(C2xC6)432,223
C36.20(C2xC6) = C2xQ8x3- 1+2φ: C2xC6/C2 → C6 ⊆ Aut C36144C36.20(C2xC6)432,408
C36.21(C2xC6) = C3xD4.D9φ: C2xC6/C3 → C22 ⊆ Aut C36724C36.21(C2xC6)432,148
C36.22(C2xC6) = C3xD4:D9φ: C2xC6/C3 → C22 ⊆ Aut C36724C36.22(C2xC6)432,149
C36.23(C2xC6) = C3xC9:Q16φ: C2xC6/C3 → C22 ⊆ Aut C361444C36.23(C2xC6)432,156
C36.24(C2xC6) = C3xQ8:2D9φ: C2xC6/C3 → C22 ⊆ Aut C361444C36.24(C2xC6)432,157
C36.25(C2xC6) = C3xD4:2D9φ: C2xC6/C3 → C22 ⊆ Aut C36724C36.25(C2xC6)432,357
C36.26(C2xC6) = C3xQ8xD9φ: C2xC6/C3 → C22 ⊆ Aut C361444C36.26(C2xC6)432,364
C36.27(C2xC6) = C3xQ8:3D9φ: C2xC6/C3 → C22 ⊆ Aut C361444C36.27(C2xC6)432,365
C36.28(C2xC6) = C2xC8x3- 1+2φ: C2xC6/C22 → C3 ⊆ Aut C36144C36.28(C2xC6)432,211
C36.29(C2xC6) = M4(2)x3- 1+2φ: C2xC6/C22 → C3 ⊆ Aut C36726C36.29(C2xC6)432,214
C36.30(C2xC6) = C4oD4x3- 1+2φ: C2xC6/C22 → C3 ⊆ Aut C36726C36.30(C2xC6)432,411
C36.31(C2xC6) = C3xDic36φ: C2xC6/C6 → C2 ⊆ Aut C361442C36.31(C2xC6)432,104
C36.32(C2xC6) = C3xC72:C2φ: C2xC6/C6 → C2 ⊆ Aut C361442C36.32(C2xC6)432,107
C36.33(C2xC6) = C3xD72φ: C2xC6/C6 → C2 ⊆ Aut C361442C36.33(C2xC6)432,108
C36.34(C2xC6) = C6xDic18φ: C2xC6/C6 → C2 ⊆ Aut C36144C36.34(C2xC6)432,340
C36.35(C2xC6) = D9xC24φ: C2xC6/C6 → C2 ⊆ Aut C361442C36.35(C2xC6)432,105
C36.36(C2xC6) = C3xC8:D9φ: C2xC6/C6 → C2 ⊆ Aut C361442C36.36(C2xC6)432,106
C36.37(C2xC6) = C6xC9:C8φ: C2xC6/C6 → C2 ⊆ Aut C36144C36.37(C2xC6)432,124
C36.38(C2xC6) = C3xC4.Dic9φ: C2xC6/C6 → C2 ⊆ Aut C36722C36.38(C2xC6)432,125
C36.39(C2xC6) = C3xD36:5C2φ: C2xC6/C6 → C2 ⊆ Aut C36722C36.39(C2xC6)432,344
C36.40(C2xC6) = D8xC27φ: C2xC6/C6 → C2 ⊆ Aut C362162C36.40(C2xC6)432,25
C36.41(C2xC6) = SD16xC27φ: C2xC6/C6 → C2 ⊆ Aut C362162C36.41(C2xC6)432,26
C36.42(C2xC6) = Q16xC27φ: C2xC6/C6 → C2 ⊆ Aut C364322C36.42(C2xC6)432,27
C36.43(C2xC6) = D4xC54φ: C2xC6/C6 → C2 ⊆ Aut C36216C36.43(C2xC6)432,54
C36.44(C2xC6) = Q8xC54φ: C2xC6/C6 → C2 ⊆ Aut C36432C36.44(C2xC6)432,55
C36.45(C2xC6) = C4oD4xC27φ: C2xC6/C6 → C2 ⊆ Aut C362162C36.45(C2xC6)432,56
C36.46(C2xC6) = D8xC3xC9φ: C2xC6/C6 → C2 ⊆ Aut C36216C36.46(C2xC6)432,215
C36.47(C2xC6) = SD16xC3xC9φ: C2xC6/C6 → C2 ⊆ Aut C36216C36.47(C2xC6)432,218
C36.48(C2xC6) = Q16xC3xC9φ: C2xC6/C6 → C2 ⊆ Aut C36432C36.48(C2xC6)432,221
C36.49(C2xC6) = Q8xC3xC18φ: C2xC6/C6 → C2 ⊆ Aut C36432C36.49(C2xC6)432,406
C36.50(C2xC6) = C4oD4xC3xC9φ: C2xC6/C6 → C2 ⊆ Aut C36216C36.50(C2xC6)432,409
C36.51(C2xC6) = M4(2)xC27central extension (φ=1)2162C36.51(C2xC6)432,24
C36.52(C2xC6) = M4(2)xC3xC9central extension (φ=1)216C36.52(C2xC6)432,212

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