# Extensions 1→N→G→Q→1 with N=C62 and Q=C22

Direct product G=N×Q with N=C62 and Q=C22
dρLabelID
C22×C62144C2^2xC6^2144,197

Semidirect products G=N:Q with N=C62 and Q=C22
extensionφ:Q→Aut NdρLabelID
C621C22 = S3×C3⋊D4φ: C22/C1C22 ⊆ Aut C62244C6^2:1C2^2144,153
C622C22 = Dic3⋊D6φ: C22/C1C22 ⊆ Aut C62124+C6^2:2C2^2144,154
C623C22 = C3×S3×D4φ: C22/C1C22 ⊆ Aut C62244C6^2:3C2^2144,162
C624C22 = D4×C3⋊S3φ: C22/C1C22 ⊆ Aut C6236C6^2:4C2^2144,172
C625C22 = C22×S32φ: C22/C1C22 ⊆ Aut C6224C6^2:5C2^2144,192
C626C22 = D4×C3×C6φ: C22/C2C2 ⊆ Aut C6272C6^2:6C2^2144,179
C627C22 = C6×C3⋊D4φ: C22/C2C2 ⊆ Aut C6224C6^2:7C2^2144,167
C628C22 = C2×C327D4φ: C22/C2C2 ⊆ Aut C6272C6^2:8C2^2144,177
C629C22 = S3×C22×C6φ: C22/C2C2 ⊆ Aut C6248C6^2:9C2^2144,195
C6210C22 = C23×C3⋊S3φ: C22/C2C2 ⊆ Aut C6272C6^2:10C2^2144,196

Non-split extensions G=N.Q with N=C62 and Q=C22
extensionφ:Q→Aut NdρLabelID
C62.1C22 = Dic32φ: C22/C1C22 ⊆ Aut C6248C6^2.1C2^2144,63
C62.2C22 = D6⋊Dic3φ: C22/C1C22 ⊆ Aut C6248C6^2.2C2^2144,64
C62.3C22 = C6.D12φ: C22/C1C22 ⊆ Aut C6224C6^2.3C2^2144,65
C62.4C22 = Dic3⋊Dic3φ: C22/C1C22 ⊆ Aut C6248C6^2.4C2^2144,66
C62.5C22 = C62.C22φ: C22/C1C22 ⊆ Aut C6248C6^2.5C2^2144,67
C62.6C22 = C2×S3×Dic3φ: C22/C1C22 ⊆ Aut C6248C6^2.6C2^2144,146
C62.7C22 = D6.3D6φ: C22/C1C22 ⊆ Aut C62244C6^2.7C2^2144,147
C62.8C22 = D6.4D6φ: C22/C1C22 ⊆ Aut C62244-C6^2.8C2^2144,148
C62.9C22 = C2×C6.D6φ: C22/C1C22 ⊆ Aut C6224C6^2.9C2^2144,149
C62.10C22 = C2×D6⋊S3φ: C22/C1C22 ⊆ Aut C6248C6^2.10C2^2144,150
C62.11C22 = C2×C3⋊D12φ: C22/C1C22 ⊆ Aut C6224C6^2.11C2^2144,151
C62.12C22 = C2×C322Q8φ: C22/C1C22 ⊆ Aut C6248C6^2.12C2^2144,152
C62.13C22 = C3×D42S3φ: C22/C1C22 ⊆ Aut C62244C6^2.13C2^2144,163
C62.14C22 = C12.D6φ: C22/C1C22 ⊆ Aut C6272C6^2.14C2^2144,173
C62.15C22 = C32×C4○D4φ: C22/C2C2 ⊆ Aut C6272C6^2.15C2^2144,181
C62.16C22 = Dic3×C12φ: C22/C2C2 ⊆ Aut C6248C6^2.16C2^2144,76
C62.17C22 = C3×Dic3⋊C4φ: C22/C2C2 ⊆ Aut C6248C6^2.17C2^2144,77
C62.18C22 = C3×C4⋊Dic3φ: C22/C2C2 ⊆ Aut C6248C6^2.18C2^2144,78
C62.19C22 = C3×D6⋊C4φ: C22/C2C2 ⊆ Aut C6248C6^2.19C2^2144,79
C62.20C22 = C3×C6.D4φ: C22/C2C2 ⊆ Aut C6224C6^2.20C2^2144,84
C62.21C22 = C4×C3⋊Dic3φ: C22/C2C2 ⊆ Aut C62144C6^2.21C2^2144,92
C62.22C22 = C6.Dic6φ: C22/C2C2 ⊆ Aut C62144C6^2.22C2^2144,93
C62.23C22 = C12⋊Dic3φ: C22/C2C2 ⊆ Aut C62144C6^2.23C2^2144,94
C62.24C22 = C6.11D12φ: C22/C2C2 ⊆ Aut C6272C6^2.24C2^2144,95
C62.25C22 = C625C4φ: C22/C2C2 ⊆ Aut C6272C6^2.25C2^2144,100
C62.26C22 = C6×Dic6φ: C22/C2C2 ⊆ Aut C6248C6^2.26C2^2144,158
C62.27C22 = S3×C2×C12φ: C22/C2C2 ⊆ Aut C6248C6^2.27C2^2144,159
C62.28C22 = C6×D12φ: C22/C2C2 ⊆ Aut C6248C6^2.28C2^2144,160
C62.29C22 = C3×C4○D12φ: C22/C2C2 ⊆ Aut C62242C6^2.29C2^2144,161
C62.30C22 = Dic3×C2×C6φ: C22/C2C2 ⊆ Aut C6248C6^2.30C2^2144,166
C62.31C22 = C2×C324Q8φ: C22/C2C2 ⊆ Aut C62144C6^2.31C2^2144,168
C62.32C22 = C2×C4×C3⋊S3φ: C22/C2C2 ⊆ Aut C6272C6^2.32C2^2144,169
C62.33C22 = C2×C12⋊S3φ: C22/C2C2 ⊆ Aut C6272C6^2.33C2^2144,170
C62.34C22 = C12.59D6φ: C22/C2C2 ⊆ Aut C6272C6^2.34C2^2144,171
C62.35C22 = C22×C3⋊Dic3φ: C22/C2C2 ⊆ Aut C62144C6^2.35C2^2144,176
C62.36C22 = C32×C22⋊C4central extension (φ=1)72C6^2.36C2^2144,102
C62.37C22 = C32×C4⋊C4central extension (φ=1)144C6^2.37C2^2144,103
C62.38C22 = Q8×C3×C6central extension (φ=1)144C6^2.38C2^2144,180

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