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Extensions 1→N→G→Q→1 with N=C34 and Q=C6

Direct product G=N×Q with N=C34 and Q=C6
dρLabelID
C34×C6486C3^4xC6486,261

Semidirect products G=N:Q with N=C34 and Q=C6
extensionφ:Q→Aut NdρLabelID
C34⋊1C6 = C34⋊C6φ: C6/C1 → C6 ⊆ Aut C34186C3^4:1C6486,102
C34⋊2C6 = C3×C33⋊C6φ: C6/C1 → C6 ⊆ Aut C34186C3^4:2C6486,116
C34⋊3C6 = S3×C3≀C3φ: C6/C1 → C6 ⊆ Aut C34186C3^4:3C6486,117
C34⋊4C6 = C34⋊4C6φ: C6/C1 → C6 ⊆ Aut C3427C3^4:4C6486,146
C34⋊5C6 = C34⋊5C6φ: C6/C1 → C6 ⊆ Aut C3427C3^4:5C6486,167
C34⋊6C6 = C32×C32⋊C6φ: C6/C1 → C6 ⊆ Aut C3454C3^4:6C6486,222
C34⋊7C6 = C3×S3×He3φ: C6/C1 → C6 ⊆ Aut C3454C3^4:7C6486,223
C34⋊8C6 = C3×He3⋊4S3φ: C6/C1 → C6 ⊆ Aut C3454C3^4:8C6486,229
C34⋊9C6 = C3⋊S3×He3φ: C6/C1 → C6 ⊆ Aut C3454C3^4:9C6486,231
C34⋊10C6 = C34⋊10C6φ: C6/C1 → C6 ⊆ Aut C3481C3^4:10C6486,242
C34⋊11C6 = C2×C32⋊He3φ: C6/C2 → C3 ⊆ Aut C3454C3^4:11C6486,196
C34⋊12C6 = C6×C3≀C3φ: C6/C2 → C3 ⊆ Aut C3454C3^4:12C6486,210
C34⋊13C6 = C3×C6×He3φ: C6/C2 → C3 ⊆ Aut C34162C3^4:13C6486,251
C34⋊14C6 = S3×C34φ: C6/C3 → C2 ⊆ Aut C34162C3^4:14C6486,256
C34⋊15C6 = C3⋊S3×C33φ: C6/C3 → C2 ⊆ Aut C3454C3^4:15C6486,257
C34⋊16C6 = C32×C33⋊C2φ: C6/C3 → C2 ⊆ Aut C3454C3^4:16C6486,258
C34⋊17C6 = C3×C34⋊C2φ: C6/C3 → C2 ⊆ Aut C34162C3^4:17C6486,259

Non-split extensions G=N.Q with N=C34 and Q=C6
extensionφ:Q→Aut NdρLabelID
C34.1C6 = C33⋊1C18φ: C6/C1 → C6 ⊆ Aut C34186C3^4.1C6486,18
C34.2C6 = C3×C32⋊C18φ: C6/C1 → C6 ⊆ Aut C3454C3^4.2C6486,93
C34.3C6 = S3×C32⋊C9φ: C6/C1 → C6 ⊆ Aut C3454C3^4.3C6486,95
C34.4C6 = C34.C6φ: C6/C1 → C6 ⊆ Aut C34186C3^4.4C6486,104
C34.5C6 = C33⋊C18φ: C6/C1 → C6 ⊆ Aut C3454C3^4.5C6486,136
C34.6C6 = C3×S3×3- 1+2φ: C6/C1 → C6 ⊆ Aut C3454C3^4.6C6486,225
C34.7C6 = C3⋊S3×3- 1+2φ: C6/C1 → C6 ⊆ Aut C3454C3^4.7C6486,233
C34.8C6 = C2×C33⋊C9φ: C6/C2 → C3 ⊆ Aut C3454C3^4.8C6486,73
C34.9C6 = C6×C32⋊C9φ: C6/C2 → C3 ⊆ Aut C34162C3^4.9C6486,191
C34.10C6 = C2×C34.C3φ: C6/C2 → C3 ⊆ Aut C3454C3^4.10C6486,197
C34.11C6 = C3×C6×3- 1+2φ: C6/C2 → C3 ⊆ Aut C34162C3^4.11C6486,252
C34.12C6 = S3×C32×C9φ: C6/C3 → C2 ⊆ Aut C34162C3^4.12C6486,221
C34.13C6 = C3⋊S3×C3×C9φ: C6/C3 → C2 ⊆ Aut C3454C3^4.13C6486,228
C34.14C6 = C9×C33⋊C2φ: C6/C3 → C2 ⊆ Aut C34162C3^4.14C6486,241

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