# Extensions 1→N→G→Q→1 with N=C12 and Q=C42

Direct product G=N×Q with N=C12 and Q=C42
dρLabelID
C42×C12192C4^2xC12192,807

Semidirect products G=N:Q with N=C12 and Q=C42
extensionφ:Q→Aut NdρLabelID
C12⋊C42 = Dic3×C4⋊C4φ: C42/C22C22 ⊆ Aut C12192C12:C4^2192,533
C122C42 = C4×C4⋊Dic3φ: C42/C2×C4C2 ⊆ Aut C12192C12:2C4^2192,493
C123C42 = Dic3×C42φ: C42/C2×C4C2 ⊆ Aut C12192C12:3C4^2192,489
C124C42 = C12×C4⋊C4φ: C42/C2×C4C2 ⊆ Aut C12192C12:4C4^2192,811

Non-split extensions G=N.Q with N=C12 and Q=C42
extensionφ:Q→Aut NdρLabelID
C12.1C42 = C12.C42φ: C42/C22C22 ⊆ Aut C12192C12.1C4^2192,88
C12.2C42 = C12.2C42φ: C42/C22C22 ⊆ Aut C1248C12.2C4^2192,91
C12.3C42 = C12.3C42φ: C42/C22C22 ⊆ Aut C1248C12.3C4^2192,114
C12.4C42 = C12.4C42φ: C42/C22C22 ⊆ Aut C1296C12.4C4^2192,117
C12.5C42 = C12.5C42φ: C42/C22C22 ⊆ Aut C1296C12.5C4^2192,556
C12.6C42 = Dic3×M4(2)φ: C42/C22C22 ⊆ Aut C1296C12.6C4^2192,676
C12.7C42 = C12.7C42φ: C42/C22C22 ⊆ Aut C1296C12.7C4^2192,681
C12.8C42 = C12.8C42φ: C42/C2×C4C2 ⊆ Aut C1248C12.8C4^2192,82
C12.9C42 = C12.9C42φ: C42/C2×C4C2 ⊆ Aut C12192C12.9C4^2192,110
C12.10C42 = C12.10C42φ: C42/C2×C4C2 ⊆ Aut C1296C12.10C4^2192,111
C12.11C42 = C4×C4.Dic3φ: C42/C2×C4C2 ⊆ Aut C1296C12.11C4^2192,481
C12.12C42 = C12.12C42φ: C42/C2×C4C2 ⊆ Aut C1296C12.12C4^2192,660
C12.13C42 = C4×C3⋊C16φ: C42/C2×C4C2 ⊆ Aut C12192C12.13C4^2192,19
C12.14C42 = C24.C8φ: C42/C2×C4C2 ⊆ Aut C12192C12.14C4^2192,20
C12.15C42 = C12.15C42φ: C42/C2×C4C2 ⊆ Aut C12484C12.15C4^2192,25
C12.16C42 = Dic3×C16φ: C42/C2×C4C2 ⊆ Aut C12192C12.16C4^2192,59
C12.17C42 = C4810C4φ: C42/C2×C4C2 ⊆ Aut C12192C12.17C4^2192,61
C12.18C42 = C48⋊C4φ: C42/C2×C4C2 ⊆ Aut C12484C12.18C4^2192,71
C12.19C42 = C423Dic3φ: C42/C2×C4C2 ⊆ Aut C12484C12.19C4^2192,90
C12.20C42 = C12.20C42φ: C42/C2×C4C2 ⊆ Aut C12484C12.20C4^2192,116
C12.21C42 = C12.21C42φ: C42/C2×C4C2 ⊆ Aut C12484C12.21C4^2192,119
C12.22C42 = C2×C4×C3⋊C8φ: C42/C2×C4C2 ⊆ Aut C12192C12.22C4^2192,479
C12.23C42 = C2×C42.S3φ: C42/C2×C4C2 ⊆ Aut C12192C12.23C4^2192,480
C12.24C42 = C426Dic3φ: C42/C2×C4C2 ⊆ Aut C12192C12.24C4^2192,491
C12.25C42 = Dic3×C2×C8φ: C42/C2×C4C2 ⊆ Aut C12192C12.25C4^2192,657
C12.26C42 = C2×C24⋊C4φ: C42/C2×C4C2 ⊆ Aut C12192C12.26C4^2192,659
C12.27C42 = C3×C426C4φ: C42/C2×C4C2 ⊆ Aut C1248C12.27C4^2192,145
C12.28C42 = C3×C22.4Q16φ: C42/C2×C4C2 ⊆ Aut C12192C12.28C4^2192,146
C12.29C42 = C3×C4.C42φ: C42/C2×C4C2 ⊆ Aut C1296C12.29C4^2192,147
C12.30C42 = C12×M4(2)φ: C42/C2×C4C2 ⊆ Aut C1296C12.30C4^2192,837
C12.31C42 = C3×C82M4(2)φ: C42/C2×C4C2 ⊆ Aut C1296C12.31C4^2192,838
C12.32C42 = C3×C4.9C42central extension (φ=1)484C12.32C4^2192,143
C12.33C42 = C3×C4.10C42central extension (φ=1)484C12.33C4^2192,144
C12.34C42 = C3×C165C4central extension (φ=1)192C12.34C4^2192,152
C12.35C42 = C3×C16⋊C4central extension (φ=1)484C12.35C4^2192,153
C12.36C42 = C3×C424C4central extension (φ=1)192C12.36C4^2192,809
C12.37C42 = C6×C8⋊C4central extension (φ=1)192C12.37C4^2192,836

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