# Extensions 1→N→G→Q→1 with N=C12 and Q=M4(2)

Direct product G=N×Q with N=C12 and Q=M4(2)
dρLabelID
C12×M4(2)96C12xM4(2)192,837

Semidirect products G=N:Q with N=C12 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
C121M4(2) = C12⋊M4(2)φ: M4(2)/C4C22 ⊆ Aut C1296C12:1M4(2)192,396
C122M4(2) = C122M4(2)φ: M4(2)/C4C22 ⊆ Aut C1296C12:2M4(2)192,397
C123M4(2) = C123M4(2)φ: M4(2)/C4C22 ⊆ Aut C1296C12:3M4(2)192,571
C124M4(2) = C86D12φ: M4(2)/C8C2 ⊆ Aut C1296C12:4M4(2)192,247
C125M4(2) = C4×C8⋊S3φ: M4(2)/C8C2 ⊆ Aut C1296C12:5M4(2)192,246
C126M4(2) = C3×C86D4φ: M4(2)/C8C2 ⊆ Aut C1296C12:6M4(2)192,869
C127M4(2) = C127M4(2)φ: M4(2)/C2×C4C2 ⊆ Aut C1296C12:7M4(2)192,483
C128M4(2) = C4×C4.Dic3φ: M4(2)/C2×C4C2 ⊆ Aut C1296C12:8M4(2)192,481
C129M4(2) = C3×C4⋊M4(2)φ: M4(2)/C2×C4C2 ⊆ Aut C1296C12:9M4(2)192,856

Non-split extensions G=N.Q with N=C12 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
C12.1M4(2) = C12.53D8φ: M4(2)/C4C22 ⊆ Aut C12192C12.1M4(2)192,38
C12.2M4(2) = C12.39SD16φ: M4(2)/C4C22 ⊆ Aut C12192C12.2M4(2)192,39
C12.3M4(2) = D122C8φ: M4(2)/C4C22 ⊆ Aut C1296C12.3M4(2)192,42
C12.4M4(2) = Dic62C8φ: M4(2)/C4C22 ⊆ Aut C12192C12.4M4(2)192,43
C12.5M4(2) = C48⋊C4φ: M4(2)/C4C22 ⊆ Aut C12484C12.5M4(2)192,71
C12.6M4(2) = C8.25D12φ: M4(2)/C4C22 ⊆ Aut C12484C12.6M4(2)192,73
C12.7M4(2) = C12.57D8φ: M4(2)/C4C22 ⊆ Aut C1296C12.7M4(2)192,93
C12.8M4(2) = C12.26Q16φ: M4(2)/C4C22 ⊆ Aut C12192C12.8M4(2)192,94
C12.9M4(2) = C42.198D6φ: M4(2)/C4C22 ⊆ Aut C12192C12.9M4(2)192,390
C12.10M4(2) = C42.202D6φ: M4(2)/C4C22 ⊆ Aut C1296C12.10M4(2)192,394
C12.11M4(2) = C42.210D6φ: M4(2)/C4C22 ⊆ Aut C12192C12.11M4(2)192,583
C12.12M4(2) = C4.8Dic12φ: M4(2)/C8C2 ⊆ Aut C12192C12.12M4(2)192,15
C12.13M4(2) = C4.17D24φ: M4(2)/C8C2 ⊆ Aut C1296C12.13M4(2)192,18
C12.14M4(2) = C2412Q8φ: M4(2)/C8C2 ⊆ Aut C12192C12.14M4(2)192,238
C12.15M4(2) = C24⋊C8φ: M4(2)/C8C2 ⊆ Aut C12192C12.15M4(2)192,14
C12.16M4(2) = Dic3⋊C16φ: M4(2)/C8C2 ⊆ Aut C12192C12.16M4(2)192,60
C12.17M4(2) = D6⋊C16φ: M4(2)/C8C2 ⊆ Aut C1296C12.17M4(2)192,66
C12.18M4(2) = C42.282D6φ: M4(2)/C8C2 ⊆ Aut C1296C12.18M4(2)192,244
C12.19M4(2) = C3×D4⋊C8φ: M4(2)/C8C2 ⊆ Aut C1296C12.19M4(2)192,131
C12.20M4(2) = C3×Q8⋊C8φ: M4(2)/C8C2 ⊆ Aut C12192C12.20M4(2)192,132
C12.21M4(2) = C3×C84Q8φ: M4(2)/C8C2 ⊆ Aut C12192C12.21M4(2)192,879
C12.22M4(2) = C242C8φ: M4(2)/C2×C4C2 ⊆ Aut C12192C12.22M4(2)192,16
C12.23M4(2) = C241C8φ: M4(2)/C2×C4C2 ⊆ Aut C12192C12.23M4(2)192,17
C12.24M4(2) = C12.15C42φ: M4(2)/C2×C4C2 ⊆ Aut C12484C12.24M4(2)192,25
C12.25M4(2) = C24.D4φ: M4(2)/C2×C4C2 ⊆ Aut C12484C12.25M4(2)192,112
C12.26M4(2) = C42.270D6φ: M4(2)/C2×C4C2 ⊆ Aut C1296C12.26M4(2)192,485
C12.27M4(2) = C42.279D6φ: M4(2)/C2×C4C2 ⊆ Aut C12192C12.27M4(2)192,13
C12.28M4(2) = C12⋊C16φ: M4(2)/C2×C4C2 ⊆ Aut C12192C12.28M4(2)192,21
C12.29M4(2) = C24.98D4φ: M4(2)/C2×C4C2 ⊆ Aut C1296C12.29M4(2)192,108
C12.30M4(2) = C42.285D6φ: M4(2)/C2×C4C2 ⊆ Aut C1296C12.30M4(2)192,484
C12.31M4(2) = C3×C82C8φ: M4(2)/C2×C4C2 ⊆ Aut C12192C12.31M4(2)192,140
C12.32M4(2) = C3×C81C8φ: M4(2)/C2×C4C2 ⊆ Aut C12192C12.32M4(2)192,141
C12.33M4(2) = C3×C16⋊C4φ: M4(2)/C2×C4C2 ⊆ Aut C12484C12.33M4(2)192,153
C12.34M4(2) = C3×C23.C8φ: M4(2)/C2×C4C2 ⊆ Aut C12484C12.34M4(2)192,155
C12.35M4(2) = C3×C42.6C4φ: M4(2)/C2×C4C2 ⊆ Aut C1296C12.35M4(2)192,865
C12.36M4(2) = C3×C8⋊C8central extension (φ=1)192C12.36M4(2)192,128
C12.37M4(2) = C3×C22⋊C16central extension (φ=1)96C12.37M4(2)192,154
C12.38M4(2) = C3×C4⋊C16central extension (φ=1)192C12.38M4(2)192,169
C12.39M4(2) = C3×C42.12C4central extension (φ=1)96C12.39M4(2)192,864

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