Extensions 1→N→G→Q→1 with N=C42 and Q=D4

Direct product G=N×Q with N=C42 and Q=D4
dρLabelID
D4×C42168D4xC42336,205

Semidirect products G=N:Q with N=C42 and Q=D4
extensionφ:Q→Aut NdρLabelID
C421D4 = C2×C21⋊D4φ: D4/C2C22 ⊆ Aut C42168C42:1D4336,157
C422D4 = C2×C3⋊D28φ: D4/C2C22 ⊆ Aut C42168C42:2D4336,158
C423D4 = C2×C7⋊D12φ: D4/C2C22 ⊆ Aut C42168C42:3D4336,159
C424D4 = C2×D84φ: D4/C4C2 ⊆ Aut C42168C42:4D4336,196
C425D4 = C6×D28φ: D4/C4C2 ⊆ Aut C42168C42:5D4336,176
C426D4 = C14×D12φ: D4/C4C2 ⊆ Aut C42168C42:6D4336,186
C427D4 = C2×C217D4φ: D4/C22C2 ⊆ Aut C42168C42:7D4336,203
C428D4 = C6×C7⋊D4φ: D4/C22C2 ⊆ Aut C42168C42:8D4336,183
C429D4 = C14×C3⋊D4φ: D4/C22C2 ⊆ Aut C42168C42:9D4336,193

Non-split extensions G=N.Q with N=C42 and Q=D4
extensionφ:Q→Aut NdρLabelID
C42.1D4 = C21⋊D8φ: D4/C2C22 ⊆ Aut C421684C42.1D4336,29
C42.2D4 = C3⋊D56φ: D4/C2C22 ⊆ Aut C421684+C42.2D4336,30
C42.3D4 = C7⋊D24φ: D4/C2C22 ⊆ Aut C421684+C42.3D4336,31
C42.4D4 = C28.D6φ: D4/C2C22 ⊆ Aut C421684C42.4D4336,32
C42.5D4 = C42.D4φ: D4/C2C22 ⊆ Aut C421684C42.5D4336,33
C42.6D4 = C6.D28φ: D4/C2C22 ⊆ Aut C421684-C42.6D4336,34
C42.7D4 = C21⋊SD16φ: D4/C2C22 ⊆ Aut C421684+C42.7D4336,35
C42.8D4 = D12.D7φ: D4/C2C22 ⊆ Aut C421684-C42.8D4336,36
C42.9D4 = Dic6⋊D7φ: D4/C2C22 ⊆ Aut C421684+C42.9D4336,37
C42.10D4 = C21⋊Q16φ: D4/C2C22 ⊆ Aut C423364C42.10D4336,38
C42.11D4 = C3⋊Dic28φ: D4/C2C22 ⊆ Aut C423364-C42.11D4336,39
C42.12D4 = C7⋊Dic12φ: D4/C2C22 ⊆ Aut C423364-C42.12D4336,40
C42.13D4 = D14⋊Dic3φ: D4/C2C22 ⊆ Aut C42168C42.13D4336,42
C42.14D4 = D6⋊Dic7φ: D4/C2C22 ⊆ Aut C42168C42.14D4336,43
C42.15D4 = D42⋊C4φ: D4/C2C22 ⊆ Aut C42168C42.15D4336,44
C42.16D4 = C42.Q8φ: D4/C2C22 ⊆ Aut C42336C42.16D4336,45
C42.17D4 = Dic21⋊C4φ: D4/C2C22 ⊆ Aut C42336C42.17D4336,46
C42.18D4 = C14.Dic6φ: D4/C2C22 ⊆ Aut C42336C42.18D4336,47
C42.19D4 = C8⋊D21φ: D4/C4C2 ⊆ Aut C421682C42.19D4336,92
C42.20D4 = D168φ: D4/C4C2 ⊆ Aut C421682+C42.20D4336,93
C42.21D4 = Dic84φ: D4/C4C2 ⊆ Aut C423362-C42.21D4336,94
C42.22D4 = C84⋊C4φ: D4/C4C2 ⊆ Aut C42336C42.22D4336,99
C42.23D4 = C3×C56⋊C2φ: D4/C4C2 ⊆ Aut C421682C42.23D4336,60
C42.24D4 = C3×D56φ: D4/C4C2 ⊆ Aut C421682C42.24D4336,61
C42.25D4 = C3×Dic28φ: D4/C4C2 ⊆ Aut C423362C42.25D4336,62
C42.26D4 = C3×C4⋊Dic7φ: D4/C4C2 ⊆ Aut C42336C42.26D4336,67
C42.27D4 = C3×D14⋊C4φ: D4/C4C2 ⊆ Aut C42168C42.27D4336,68
C42.28D4 = C7×C24⋊C2φ: D4/C4C2 ⊆ Aut C421682C42.28D4336,76
C42.29D4 = C7×D24φ: D4/C4C2 ⊆ Aut C421682C42.29D4336,77
C42.30D4 = C7×Dic12φ: D4/C4C2 ⊆ Aut C423362C42.30D4336,78
C42.31D4 = C7×C4⋊Dic3φ: D4/C4C2 ⊆ Aut C42336C42.31D4336,83
C42.32D4 = C42.4Q8φ: D4/C22C2 ⊆ Aut C42336C42.32D4336,98
C42.33D4 = C2.D84φ: D4/C22C2 ⊆ Aut C42168C42.33D4336,100
C42.34D4 = D4⋊D21φ: D4/C22C2 ⊆ Aut C421684+C42.34D4336,101
C42.35D4 = D4.D21φ: D4/C22C2 ⊆ Aut C421684-C42.35D4336,102
C42.36D4 = Q82D21φ: D4/C22C2 ⊆ Aut C421684+C42.36D4336,103
C42.37D4 = C217Q16φ: D4/C22C2 ⊆ Aut C423364-C42.37D4336,104
C42.38D4 = C42.38D4φ: D4/C22C2 ⊆ Aut C42168C42.38D4336,105
C42.39D4 = C3×Dic7⋊C4φ: D4/C22C2 ⊆ Aut C42336C42.39D4336,66
C42.40D4 = C3×D4⋊D7φ: D4/C22C2 ⊆ Aut C421684C42.40D4336,69
C42.41D4 = C3×D4.D7φ: D4/C22C2 ⊆ Aut C421684C42.41D4336,70
C42.42D4 = C3×Q8⋊D7φ: D4/C22C2 ⊆ Aut C421684C42.42D4336,71
C42.43D4 = C3×C7⋊Q16φ: D4/C22C2 ⊆ Aut C423364C42.43D4336,72
C42.44D4 = C3×C23.D7φ: D4/C22C2 ⊆ Aut C42168C42.44D4336,73
C42.45D4 = C7×Dic3⋊C4φ: D4/C22C2 ⊆ Aut C42336C42.45D4336,82
C42.46D4 = C7×D6⋊C4φ: D4/C22C2 ⊆ Aut C42168C42.46D4336,84
C42.47D4 = C7×D4⋊S3φ: D4/C22C2 ⊆ Aut C421684C42.47D4336,85
C42.48D4 = C7×D4.S3φ: D4/C22C2 ⊆ Aut C421684C42.48D4336,86
C42.49D4 = C7×Q82S3φ: D4/C22C2 ⊆ Aut C421684C42.49D4336,87
C42.50D4 = C7×C3⋊Q16φ: D4/C22C2 ⊆ Aut C423364C42.50D4336,88
C42.51D4 = C7×C6.D4φ: D4/C22C2 ⊆ Aut C42168C42.51D4336,89
C42.52D4 = C22⋊C4×C21central extension (φ=1)168C42.52D4336,107
C42.53D4 = C4⋊C4×C21central extension (φ=1)336C42.53D4336,108
C42.54D4 = D8×C21central extension (φ=1)1682C42.54D4336,111
C42.55D4 = SD16×C21central extension (φ=1)1682C42.55D4336,112
C42.56D4 = Q16×C21central extension (φ=1)3362C42.56D4336,113

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