# Extensions 1→N→G→Q→1 with N=C28 and Q=D4

Direct product G=N×Q with N=C28 and Q=D4
dρLabelID
D4×C28112D4xC28224,153

Semidirect products G=N:Q with N=C28 and Q=D4
extensionφ:Q→Aut NdρLabelID
C281D4 = C4⋊D28φ: D4/C2C22 ⊆ Aut C28112C28:1D4224,90
C282D4 = C282D4φ: D4/C2C22 ⊆ Aut C28112C28:2D4224,133
C283D4 = C28⋊D4φ: D4/C2C22 ⊆ Aut C28112C28:3D4224,135
C284D4 = C284D4φ: D4/C4C2 ⊆ Aut C28112C28:4D4224,69
C285D4 = C4×D28φ: D4/C4C2 ⊆ Aut C28112C28:5D4224,68
C286D4 = C7×C41D4φ: D4/C4C2 ⊆ Aut C28112C28:6D4224,162
C287D4 = C287D4φ: D4/C22C2 ⊆ Aut C28112C28:7D4224,125
C288D4 = C4×C7⋊D4φ: D4/C22C2 ⊆ Aut C28112C28:8D4224,123
C289D4 = C7×C4⋊D4φ: D4/C22C2 ⊆ Aut C28112C28:9D4224,156

Non-split extensions G=N.Q with N=C28 and Q=D4
extensionφ:Q→Aut NdρLabelID
C28.1D4 = C14.D8φ: D4/C2C22 ⊆ Aut C28112C28.1D4224,15
C28.2D4 = C14.Q16φ: D4/C2C22 ⊆ Aut C28224C28.2D4224,16
C28.3D4 = C7⋊D16φ: D4/C2C22 ⊆ Aut C281124+C28.3D4224,32
C28.4D4 = D8.D7φ: D4/C2C22 ⊆ Aut C281124-C28.4D4224,33
C28.5D4 = C7⋊SD32φ: D4/C2C22 ⊆ Aut C281124+C28.5D4224,34
C28.6D4 = C7⋊Q32φ: D4/C2C22 ⊆ Aut C282244-C28.6D4224,35
C28.7D4 = D4⋊Dic7φ: D4/C2C22 ⊆ Aut C28112C28.7D4224,38
C28.8D4 = C28.D4φ: D4/C2C22 ⊆ Aut C28564C28.8D4224,39
C28.9D4 = Q8⋊Dic7φ: D4/C2C22 ⊆ Aut C28224C28.9D4224,41
C28.10D4 = C28.10D4φ: D4/C2C22 ⊆ Aut C281124C28.10D4224,42
C28.11D4 = D142Q8φ: D4/C2C22 ⊆ Aut C28112C28.11D4224,92
C28.12D4 = C8⋊D14φ: D4/C2C22 ⊆ Aut C28564+C28.12D4224,103
C28.13D4 = C8.D14φ: D4/C2C22 ⊆ Aut C281124-C28.13D4224,104
C28.14D4 = C2×D4⋊D7φ: D4/C2C22 ⊆ Aut C28112C28.14D4224,126
C28.15D4 = D4.D14φ: D4/C2C22 ⊆ Aut C28564C28.15D4224,127
C28.16D4 = C2×D4.D7φ: D4/C2C22 ⊆ Aut C28112C28.16D4224,128
C28.17D4 = C28.17D4φ: D4/C2C22 ⊆ Aut C28112C28.17D4224,131
C28.18D4 = C2×Q8⋊D7φ: D4/C2C22 ⊆ Aut C28112C28.18D4224,136
C28.19D4 = C28.C23φ: D4/C2C22 ⊆ Aut C281124C28.19D4224,137
C28.20D4 = C2×C7⋊Q16φ: D4/C2C22 ⊆ Aut C28224C28.20D4224,138
C28.21D4 = Dic7⋊Q8φ: D4/C2C22 ⊆ Aut C28224C28.21D4224,139
C28.22D4 = D143Q8φ: D4/C2C22 ⊆ Aut C28112C28.22D4224,141
C28.23D4 = C28.23D4φ: D4/C2C22 ⊆ Aut C28112C28.23D4224,142
C28.24D4 = D112φ: D4/C4C2 ⊆ Aut C281122+C28.24D4224,5
C28.25D4 = C112⋊C2φ: D4/C4C2 ⊆ Aut C281122C28.25D4224,6
C28.26D4 = Dic56φ: D4/C4C2 ⊆ Aut C282242-C28.26D4224,7
C28.27D4 = C282Q8φ: D4/C4C2 ⊆ Aut C28224C28.27D4224,64
C28.28D4 = C4.D28φ: D4/C4C2 ⊆ Aut C28112C28.28D4224,70
C28.29D4 = C2×C56⋊C2φ: D4/C4C2 ⊆ Aut C28112C28.29D4224,97
C28.30D4 = C2×D56φ: D4/C4C2 ⊆ Aut C28112C28.30D4224,98
C28.31D4 = C2×Dic28φ: D4/C4C2 ⊆ Aut C28224C28.31D4224,100
C28.32D4 = C28⋊C8φ: D4/C4C2 ⊆ Aut C28224C28.32D4224,10
C28.33D4 = Dic14⋊C4φ: D4/C4C2 ⊆ Aut C28562C28.33D4224,11
C28.34D4 = C56.C4φ: D4/C4C2 ⊆ Aut C281122C28.34D4224,25
C28.35D4 = D567C2φ: D4/C4C2 ⊆ Aut C281122C28.35D4224,99
C28.36D4 = C7×D16φ: D4/C4C2 ⊆ Aut C281122C28.36D4224,60
C28.37D4 = C7×SD32φ: D4/C4C2 ⊆ Aut C281122C28.37D4224,61
C28.38D4 = C7×Q32φ: D4/C4C2 ⊆ Aut C282242C28.38D4224,62
C28.39D4 = C7×C4.4D4φ: D4/C4C2 ⊆ Aut C28112C28.39D4224,159
C28.40D4 = C7×C4⋊Q8φ: D4/C4C2 ⊆ Aut C28224C28.40D4224,163
C28.41D4 = C14×D8φ: D4/C4C2 ⊆ Aut C28112C28.41D4224,167
C28.42D4 = C14×SD16φ: D4/C4C2 ⊆ Aut C28112C28.42D4224,168
C28.43D4 = C14×Q16φ: D4/C4C2 ⊆ Aut C28224C28.43D4224,169
C28.44D4 = C28.44D4φ: D4/C22C2 ⊆ Aut C28224C28.44D4224,22
C28.45D4 = C2.D56φ: D4/C22C2 ⊆ Aut C28112C28.45D4224,27
C28.46D4 = C28.46D4φ: D4/C22C2 ⊆ Aut C28564+C28.46D4224,29
C28.47D4 = C4.12D28φ: D4/C22C2 ⊆ Aut C281124-C28.47D4224,30
C28.48D4 = C28.48D4φ: D4/C22C2 ⊆ Aut C28112C28.48D4224,119
C28.49D4 = D4⋊D14φ: D4/C22C2 ⊆ Aut C28564+C28.49D4224,144
C28.50D4 = D4.9D14φ: D4/C22C2 ⊆ Aut C281124-C28.50D4224,146
C28.51D4 = Dic7⋊C8φ: D4/C22C2 ⊆ Aut C28224C28.51D4224,20
C28.52D4 = D14⋊C8φ: D4/C22C2 ⊆ Aut C28112C28.52D4224,26
C28.53D4 = C28.53D4φ: D4/C22C2 ⊆ Aut C281124C28.53D4224,28
C28.54D4 = D284C4φ: D4/C22C2 ⊆ Aut C28564C28.54D4224,31
C28.55D4 = C28.55D4φ: D4/C22C2 ⊆ Aut C28112C28.55D4224,36
C28.56D4 = D42Dic7φ: D4/C22C2 ⊆ Aut C28564C28.56D4224,43
C28.57D4 = D4.8D14φ: D4/C22C2 ⊆ Aut C281124C28.57D4224,145
C28.58D4 = C7×C4.D4φ: D4/C22C2 ⊆ Aut C28564C28.58D4224,49
C28.59D4 = C7×C4.10D4φ: D4/C22C2 ⊆ Aut C281124C28.59D4224,50
C28.60D4 = C7×D4⋊C4φ: D4/C22C2 ⊆ Aut C28112C28.60D4224,51
C28.61D4 = C7×Q8⋊C4φ: D4/C22C2 ⊆ Aut C28224C28.61D4224,52
C28.62D4 = C7×C22⋊Q8φ: D4/C22C2 ⊆ Aut C28112C28.62D4224,157
C28.63D4 = C7×C8⋊C22φ: D4/C22C2 ⊆ Aut C28564C28.63D4224,171
C28.64D4 = C7×C8.C22φ: D4/C22C2 ⊆ Aut C281124C28.64D4224,172
C28.65D4 = C7×C22⋊C8central extension (φ=1)112C28.65D4224,47
C28.66D4 = C7×C4≀C2central extension (φ=1)562C28.66D4224,53
C28.67D4 = C7×C4⋊C8central extension (φ=1)224C28.67D4224,54
C28.68D4 = C7×C8.C4central extension (φ=1)1122C28.68D4224,57
C28.69D4 = C7×C4○D8central extension (φ=1)1122C28.69D4224,170

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