Extensions 1→N→G→Q→1 with N=C6 and Q=C3×D12

Direct product G=N×Q with N=C6 and Q=C3×D12
dρLabelID
C3×C6×D12144C3xC6xD12432,702

Semidirect products G=N:Q with N=C6 and Q=C3×D12
extensionφ:Q→Aut NdρLabelID
C61(C3×D12) = C6×C12⋊S3φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6:1(C3xD12)432,712
C62(C3×D12) = C6×C3⋊D12φ: C3×D12/S3×C6C2 ⊆ Aut C648C6:2(C3xD12)432,656

Non-split extensions G=N.Q with N=C6 and Q=C3×D12
extensionφ:Q→Aut NdρLabelID
C6.1(C3×D12) = C3×Dic36φ: C3×D12/C3×C12C2 ⊆ Aut C61442C6.1(C3xD12)432,104
C6.2(C3×D12) = C3×C72⋊C2φ: C3×D12/C3×C12C2 ⊆ Aut C61442C6.2(C3xD12)432,107
C6.3(C3×D12) = C3×D72φ: C3×D12/C3×C12C2 ⊆ Aut C61442C6.3(C3xD12)432,108
C6.4(C3×D12) = He34Q16φ: C3×D12/C3×C12C2 ⊆ Aut C61446-C6.4(C3xD12)432,114
C6.5(C3×D12) = He36SD16φ: C3×D12/C3×C12C2 ⊆ Aut C6726C6.5(C3xD12)432,117
C6.6(C3×D12) = He34D8φ: C3×D12/C3×C12C2 ⊆ Aut C6726+C6.6(C3xD12)432,118
C6.7(C3×D12) = C72.C6φ: C3×D12/C3×C12C2 ⊆ Aut C61446-C6.7(C3xD12)432,119
C6.8(C3×D12) = C722C6φ: C3×D12/C3×C12C2 ⊆ Aut C6726C6.8(C3xD12)432,122
C6.9(C3×D12) = D72⋊C3φ: C3×D12/C3×C12C2 ⊆ Aut C6726+C6.9(C3xD12)432,123
C6.10(C3×D12) = C3×C4⋊Dic9φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6.10(C3xD12)432,130
C6.11(C3×D12) = C3×D18⋊C4φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6.11(C3xD12)432,134
C6.12(C3×D12) = C62.20D6φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6.12(C3xD12)432,140
C6.13(C3×D12) = C62.21D6φ: C3×D12/C3×C12C2 ⊆ Aut C672C6.13(C3xD12)432,141
C6.14(C3×D12) = C36⋊C12φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6.14(C3xD12)432,146
C6.15(C3×D12) = D18⋊C12φ: C3×D12/C3×C12C2 ⊆ Aut C672C6.15(C3xD12)432,147
C6.16(C3×D12) = C6×D36φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6.16(C3xD12)432,343
C6.17(C3×D12) = C2×He34D4φ: C3×D12/C3×C12C2 ⊆ Aut C672C6.17(C3xD12)432,350
C6.18(C3×D12) = C2×D36⋊C3φ: C3×D12/C3×C12C2 ⊆ Aut C672C6.18(C3xD12)432,354
C6.19(C3×D12) = C3×C242S3φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6.19(C3xD12)432,482
C6.20(C3×D12) = C3×C325D8φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6.20(C3xD12)432,483
C6.21(C3×D12) = C3×C325Q16φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6.21(C3xD12)432,484
C6.22(C3×D12) = C3×C12⋊Dic3φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6.22(C3xD12)432,489
C6.23(C3×D12) = C3×C6.11D12φ: C3×D12/C3×C12C2 ⊆ Aut C6144C6.23(C3xD12)432,490
C6.24(C3×D12) = C3×C3⋊D24φ: C3×D12/S3×C6C2 ⊆ Aut C6484C6.24(C3xD12)432,419
C6.25(C3×D12) = C3×D12.S3φ: C3×D12/S3×C6C2 ⊆ Aut C6484C6.25(C3xD12)432,421
C6.26(C3×D12) = C3×C325SD16φ: C3×D12/S3×C6C2 ⊆ Aut C6484C6.26(C3xD12)432,422
C6.27(C3×D12) = C3×C323Q16φ: C3×D12/S3×C6C2 ⊆ Aut C6484C6.27(C3xD12)432,424
C6.28(C3×D12) = C3×D6⋊Dic3φ: C3×D12/S3×C6C2 ⊆ Aut C648C6.28(C3xD12)432,426
C6.29(C3×D12) = C3×C6.D12φ: C3×D12/S3×C6C2 ⊆ Aut C648C6.29(C3xD12)432,427
C6.30(C3×D12) = C3×Dic3⋊Dic3φ: C3×D12/S3×C6C2 ⊆ Aut C648C6.30(C3xD12)432,428
C6.31(C3×D12) = C9×C24⋊C2central extension (φ=1)1442C6.31(C3xD12)432,111
C6.32(C3×D12) = C9×D24central extension (φ=1)1442C6.32(C3xD12)432,112
C6.33(C3×D12) = C9×Dic12central extension (φ=1)1442C6.33(C3xD12)432,113
C6.34(C3×D12) = C9×C4⋊Dic3central extension (φ=1)144C6.34(C3xD12)432,133
C6.35(C3×D12) = C9×D6⋊C4central extension (φ=1)144C6.35(C3xD12)432,135
C6.36(C3×D12) = C18×D12central extension (φ=1)144C6.36(C3xD12)432,346
C6.37(C3×D12) = C32×C24⋊C2central extension (φ=1)144C6.37(C3xD12)432,466
C6.38(C3×D12) = C32×D24central extension (φ=1)144C6.38(C3xD12)432,467
C6.39(C3×D12) = C32×Dic12central extension (φ=1)144C6.39(C3xD12)432,468
C6.40(C3×D12) = C32×C4⋊Dic3central extension (φ=1)144C6.40(C3xD12)432,473
C6.41(C3×D12) = C32×D6⋊C4central extension (φ=1)144C6.41(C3xD12)432,474

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