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Extensions 1→N→G→Q→1 with N=C36 and Q=C2×C6

Direct product G=N×Q with N=C36 and Q=C2×C6
dρLabelID
C2×C6×C36432C2xC6xC36432,400

Semidirect products G=N:Q with N=C36 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C36⋊(C2×C6) = D4×C9⋊C6φ: C2×C6/C1 → C2×C6 ⊆ Aut C363612+C36:(C2xC6)432,362
C36⋊2(C2×C6) = C2×D36⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C3672C36:2(C2xC6)432,354
C36⋊3(C2×C6) = C2×C4×C9⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C3672C36:3(C2xC6)432,353
C36⋊4(C2×C6) = C2×D4×3- 1+2φ: C2×C6/C2 → C6 ⊆ Aut C3672C36:4(C2xC6)432,405
C36⋊5(C2×C6) = C3×D4×D9φ: C2×C6/C3 → C22 ⊆ Aut C36724C36:5(C2xC6)432,356
C36⋊6(C2×C6) = C22×C4×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C36144C36:6(C2xC6)432,402
C36⋊7(C2×C6) = C6×D36φ: C2×C6/C6 → C2 ⊆ Aut C36144C36:7(C2xC6)432,343
C36⋊8(C2×C6) = D9×C2×C12φ: C2×C6/C6 → C2 ⊆ Aut C36144C36:8(C2xC6)432,342
C36⋊9(C2×C6) = D4×C3×C18φ: C2×C6/C6 → C2 ⊆ Aut C36216C36:9(C2xC6)432,403

Non-split extensions G=N.Q with N=C36 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C36.1(C2×C6) = Dic18⋊C6φ: C2×C6/C1 → C2×C6 ⊆ Aut C367212-C36.1(C2xC6)432,154
C36.2(C2×C6) = D36⋊C6φ: C2×C6/C1 → C2×C6 ⊆ Aut C367212+C36.2(C2xC6)432,155
C36.3(C2×C6) = Dic18.C6φ: C2×C6/C1 → C2×C6 ⊆ Aut C3614412-C36.3(C2xC6)432,162
C36.4(C2×C6) = D36.C6φ: C2×C6/C1 → C2×C6 ⊆ Aut C367212+C36.4(C2xC6)432,163
C36.5(C2×C6) = Dic18⋊2C6φ: C2×C6/C1 → C2×C6 ⊆ Aut C367212-C36.5(C2xC6)432,363
C36.6(C2×C6) = Q8×C9⋊C6φ: C2×C6/C1 → C2×C6 ⊆ Aut C367212-C36.6(C2xC6)432,370
C36.7(C2×C6) = D36⋊3C6φ: C2×C6/C1 → C2×C6 ⊆ Aut C367212+C36.7(C2xC6)432,371
C36.8(C2×C6) = C72.C6φ: C2×C6/C2 → C6 ⊆ Aut C361446-C36.8(C2xC6)432,119
C36.9(C2×C6) = C72⋊2C6φ: C2×C6/C2 → C6 ⊆ Aut C36726C36.9(C2xC6)432,122
C36.10(C2×C6) = D72⋊C3φ: C2×C6/C2 → C6 ⊆ Aut C36726+C36.10(C2xC6)432,123
C36.11(C2×C6) = C2×C36.C6φ: C2×C6/C2 → C6 ⊆ Aut C36144C36.11(C2xC6)432,352
C36.12(C2×C6) = D36⋊6C6φ: C2×C6/C2 → C6 ⊆ Aut C36726C36.12(C2xC6)432,355
C36.13(C2×C6) = C8×C9⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C36726C36.13(C2xC6)432,120
C36.14(C2×C6) = C72⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C36726C36.14(C2xC6)432,121
C36.15(C2×C6) = C2×C9⋊C24φ: C2×C6/C2 → C6 ⊆ Aut C36144C36.15(C2xC6)432,142
C36.16(C2×C6) = C36.C12φ: C2×C6/C2 → C6 ⊆ Aut C36726C36.16(C2xC6)432,143
C36.17(C2×C6) = D8×3- 1+2φ: C2×C6/C2 → C6 ⊆ Aut C36726C36.17(C2xC6)432,217
C36.18(C2×C6) = SD16×3- 1+2φ: C2×C6/C2 → C6 ⊆ Aut C36726C36.18(C2xC6)432,220
C36.19(C2×C6) = Q16×3- 1+2φ: C2×C6/C2 → C6 ⊆ Aut C361446C36.19(C2xC6)432,223
C36.20(C2×C6) = C2×Q8×3- 1+2φ: C2×C6/C2 → C6 ⊆ Aut C36144C36.20(C2xC6)432,408
C36.21(C2×C6) = C3×D4.D9φ: C2×C6/C3 → C22 ⊆ Aut C36724C36.21(C2xC6)432,148
C36.22(C2×C6) = C3×D4⋊D9φ: C2×C6/C3 → C22 ⊆ Aut C36724C36.22(C2xC6)432,149
C36.23(C2×C6) = C3×C9⋊Q16φ: C2×C6/C3 → C22 ⊆ Aut C361444C36.23(C2xC6)432,156
C36.24(C2×C6) = C3×Q8⋊2D9φ: C2×C6/C3 → C22 ⊆ Aut C361444C36.24(C2xC6)432,157
C36.25(C2×C6) = C3×D4⋊2D9φ: C2×C6/C3 → C22 ⊆ Aut C36724C36.25(C2xC6)432,357
C36.26(C2×C6) = C3×Q8×D9φ: C2×C6/C3 → C22 ⊆ Aut C361444C36.26(C2xC6)432,364
C36.27(C2×C6) = C3×Q8⋊3D9φ: C2×C6/C3 → C22 ⊆ Aut C361444C36.27(C2xC6)432,365
C36.28(C2×C6) = C2×C8×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C36144C36.28(C2xC6)432,211
C36.29(C2×C6) = M4(2)×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C36726C36.29(C2xC6)432,214
C36.30(C2×C6) = C4○D4×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C36726C36.30(C2xC6)432,411
C36.31(C2×C6) = C3×Dic36φ: C2×C6/C6 → C2 ⊆ Aut C361442C36.31(C2xC6)432,104
C36.32(C2×C6) = C3×C72⋊C2φ: C2×C6/C6 → C2 ⊆ Aut C361442C36.32(C2xC6)432,107
C36.33(C2×C6) = C3×D72φ: C2×C6/C6 → C2 ⊆ Aut C361442C36.33(C2xC6)432,108
C36.34(C2×C6) = C6×Dic18φ: C2×C6/C6 → C2 ⊆ Aut C36144C36.34(C2xC6)432,340
C36.35(C2×C6) = D9×C24φ: C2×C6/C6 → C2 ⊆ Aut C361442C36.35(C2xC6)432,105
C36.36(C2×C6) = C3×C8⋊D9φ: C2×C6/C6 → C2 ⊆ Aut C361442C36.36(C2xC6)432,106
C36.37(C2×C6) = C6×C9⋊C8φ: C2×C6/C6 → C2 ⊆ Aut C36144C36.37(C2xC6)432,124
C36.38(C2×C6) = C3×C4.Dic9φ: C2×C6/C6 → C2 ⊆ Aut C36722C36.38(C2xC6)432,125
C36.39(C2×C6) = C3×D36⋊5C2φ: C2×C6/C6 → C2 ⊆ Aut C36722C36.39(C2xC6)432,344
C36.40(C2×C6) = D8×C27φ: C2×C6/C6 → C2 ⊆ Aut C362162C36.40(C2xC6)432,25
C36.41(C2×C6) = SD16×C27φ: C2×C6/C6 → C2 ⊆ Aut C362162C36.41(C2xC6)432,26
C36.42(C2×C6) = Q16×C27φ: C2×C6/C6 → C2 ⊆ Aut C364322C36.42(C2xC6)432,27
C36.43(C2×C6) = D4×C54φ: C2×C6/C6 → C2 ⊆ Aut C36216C36.43(C2xC6)432,54
C36.44(C2×C6) = Q8×C54φ: C2×C6/C6 → C2 ⊆ Aut C36432C36.44(C2xC6)432,55
C36.45(C2×C6) = C4○D4×C27φ: C2×C6/C6 → C2 ⊆ Aut C362162C36.45(C2xC6)432,56
C36.46(C2×C6) = D8×C3×C9φ: C2×C6/C6 → C2 ⊆ Aut C36216C36.46(C2xC6)432,215
C36.47(C2×C6) = SD16×C3×C9φ: C2×C6/C6 → C2 ⊆ Aut C36216C36.47(C2xC6)432,218
C36.48(C2×C6) = Q16×C3×C9φ: C2×C6/C6 → C2 ⊆ Aut C36432C36.48(C2xC6)432,221
C36.49(C2×C6) = Q8×C3×C18φ: C2×C6/C6 → C2 ⊆ Aut C36432C36.49(C2xC6)432,406
C36.50(C2×C6) = C4○D4×C3×C9φ: C2×C6/C6 → C2 ⊆ Aut C36216C36.50(C2xC6)432,409
C36.51(C2×C6) = M4(2)×C27central extension (φ=1)2162C36.51(C2xC6)432,24
C36.52(C2×C6) = M4(2)×C3×C9central extension (φ=1)216C36.52(C2xC6)432,212

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