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Extensions 1→N→G→Q→1 with N=C2×C22 and Q=D4

Direct product G=N×Q with N=C2×C22 and Q=D4
dρLabelID
D4×C2×C22176D4xC2xC22352,189

Semidirect products G=N:Q with N=C2×C22 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2×C22)⋊1D4 = C22⋊D44φ: D4/C2 → C22 ⊆ Aut C2×C2288(C2xC22):1D4352,77
(C2×C22)⋊2D4 = C23⋊D22φ: D4/C2 → C22 ⊆ Aut C2×C2288(C2xC22):2D4352,132
(C2×C22)⋊3D4 = Dic11⋊D4φ: D4/C2 → C22 ⊆ Aut C2×C22176(C2xC22):3D4352,134
(C2×C22)⋊4D4 = C11×C4⋊D4φ: D4/C4 → C2 ⊆ Aut C2×C22176(C2xC22):4D4352,156
(C2×C22)⋊5D4 = C44⋊7D4φ: D4/C4 → C2 ⊆ Aut C2×C22176(C2xC22):5D4352,125
(C2×C22)⋊6D4 = C22×D44φ: D4/C4 → C2 ⊆ Aut C2×C22176(C2xC22):6D4352,175
(C2×C22)⋊7D4 = C11×C22≀C2φ: D4/C22 → C2 ⊆ Aut C2×C2288(C2xC22):7D4352,155
(C2×C22)⋊8D4 = C24⋊D11φ: D4/C22 → C2 ⊆ Aut C2×C2288(C2xC22):8D4352,148
(C2×C22)⋊9D4 = C22×C11⋊D4φ: D4/C22 → C2 ⊆ Aut C2×C22176(C2xC22):9D4352,187

Non-split extensions G=N.Q with N=C2×C22 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2×C22).1D4 = D44⋊4C4φ: D4/C2 → C22 ⊆ Aut C2×C22884(C2xC22).1D4352,31
(C2×C22).2D4 = C23⋊Dic11φ: D4/C2 → C22 ⊆ Aut C2×C22884(C2xC22).2D4352,40
(C2×C22).3D4 = C44.56D4φ: D4/C2 → C22 ⊆ Aut C2×C22884(C2xC22).3D4352,43
(C2×C22).4D4 = C22.D44φ: D4/C2 → C22 ⊆ Aut C2×C22176(C2xC22).4D4352,81
(C2×C22).5D4 = C8⋊D22φ: D4/C2 → C22 ⊆ Aut C2×C22884+(C2xC22).5D4352,103
(C2×C22).6D4 = C8.D22φ: D4/C2 → C22 ⊆ Aut C2×C221764-(C2xC22).6D4352,104
(C2×C22).7D4 = C23.18D22φ: D4/C2 → C22 ⊆ Aut C2×C22176(C2xC22).7D4352,130
(C2×C22).8D4 = Q8⋊D22φ: D4/C2 → C22 ⊆ Aut C2×C22884+(C2xC22).8D4352,144
(C2×C22).9D4 = D4.8D22φ: D4/C2 → C22 ⊆ Aut C2×C221764(C2xC22).9D4352,145
(C2×C22).10D4 = D4.9D22φ: D4/C2 → C22 ⊆ Aut C2×C221764-(C2xC22).10D4352,146
(C2×C22).11D4 = C11×C4○D8φ: D4/C4 → C2 ⊆ Aut C2×C221762(C2xC22).11D4352,170
(C2×C22).12D4 = C44.44D4φ: D4/C4 → C2 ⊆ Aut C2×C22352(C2xC22).12D4352,22
(C2×C22).13D4 = C44.4Q8φ: D4/C4 → C2 ⊆ Aut C2×C22352(C2xC22).13D4352,23
(C2×C22).14D4 = C44.5Q8φ: D4/C4 → C2 ⊆ Aut C2×C22352(C2xC22).14D4352,24
(C2×C22).15D4 = C2.D88φ: D4/C4 → C2 ⊆ Aut C2×C22176(C2xC22).15D4352,27
(C2×C22).16D4 = C2×C8⋊D11φ: D4/C4 → C2 ⊆ Aut C2×C22176(C2xC22).16D4352,97
(C2×C22).17D4 = C2×D88φ: D4/C4 → C2 ⊆ Aut C2×C22176(C2xC22).17D4352,98
(C2×C22).18D4 = D88⋊7C2φ: D4/C4 → C2 ⊆ Aut C2×C221762(C2xC22).18D4352,99
(C2×C22).19D4 = C2×Dic44φ: D4/C4 → C2 ⊆ Aut C2×C22352(C2xC22).19D4352,100
(C2×C22).20D4 = C2×C44⋊C4φ: D4/C4 → C2 ⊆ Aut C2×C22352(C2xC22).20D4352,120
(C2×C22).21D4 = C11×C23⋊C4φ: D4/C22 → C2 ⊆ Aut C2×C22884(C2xC22).21D4352,48
(C2×C22).22D4 = C11×C4≀C2φ: D4/C22 → C2 ⊆ Aut C2×C22882(C2xC22).22D4352,53
(C2×C22).23D4 = C11×C22.D4φ: D4/C22 → C2 ⊆ Aut C2×C22176(C2xC22).23D4352,158
(C2×C22).24D4 = C11×C8⋊C22φ: D4/C22 → C2 ⊆ Aut C2×C22884(C2xC22).24D4352,171
(C2×C22).25D4 = C11×C8.C22φ: D4/C22 → C2 ⊆ Aut C2×C221764(C2xC22).25D4352,172
(C2×C22).26D4 = D44⋊1C4φ: D4/C22 → C2 ⊆ Aut C2×C22882(C2xC22).26D4352,11
(C2×C22).27D4 = C22.2D44φ: D4/C22 → C2 ⊆ Aut C2×C22884(C2xC22).27D4352,12
(C2×C22).28D4 = C44.Q8φ: D4/C22 → C2 ⊆ Aut C2×C22352(C2xC22).28D4352,13
(C2×C22).29D4 = C4.Dic22φ: D4/C22 → C2 ⊆ Aut C2×C22352(C2xC22).29D4352,14
(C2×C22).30D4 = C22.D8φ: D4/C22 → C2 ⊆ Aut C2×C22176(C2xC22).30D4352,15
(C2×C22).31D4 = C22.Q16φ: D4/C22 → C2 ⊆ Aut C2×C22352(C2xC22).31D4352,16
(C2×C22).32D4 = C22.C42φ: D4/C22 → C2 ⊆ Aut C2×C22352(C2xC22).32D4352,37
(C2×C22).33D4 = D4⋊Dic11φ: D4/C22 → C2 ⊆ Aut C2×C22176(C2xC22).33D4352,38
(C2×C22).34D4 = Q8⋊Dic11φ: D4/C22 → C2 ⊆ Aut C2×C22352(C2xC22).34D4352,41
(C2×C22).35D4 = C2×Dic11⋊C4φ: D4/C22 → C2 ⊆ Aut C2×C22352(C2xC22).35D4352,118
(C2×C22).36D4 = C2×D22⋊C4φ: D4/C22 → C2 ⊆ Aut C2×C22176(C2xC22).36D4352,122
(C2×C22).37D4 = C23.23D22φ: D4/C22 → C2 ⊆ Aut C2×C22176(C2xC22).37D4352,124
(C2×C22).38D4 = C2×D4⋊D11φ: D4/C22 → C2 ⊆ Aut C2×C22176(C2xC22).38D4352,126
(C2×C22).39D4 = D44⋊6C22φ: D4/C22 → C2 ⊆ Aut C2×C22884(C2xC22).39D4352,127
(C2×C22).40D4 = C2×D4.D11φ: D4/C22 → C2 ⊆ Aut C2×C22176(C2xC22).40D4352,128
(C2×C22).41D4 = C2×Q8⋊D11φ: D4/C22 → C2 ⊆ Aut C2×C22176(C2xC22).41D4352,136
(C2×C22).42D4 = C44.C23φ: D4/C22 → C2 ⊆ Aut C2×C221764(C2xC22).42D4352,137
(C2×C22).43D4 = C2×C11⋊Q16φ: D4/C22 → C2 ⊆ Aut C2×C22352(C2xC22).43D4352,138
(C2×C22).44D4 = C2×C23.D11φ: D4/C22 → C2 ⊆ Aut C2×C22176(C2xC22).44D4352,147
(C2×C22).45D4 = C11×C2.C42central extension (φ=1)352(C2xC22).45D4352,44
(C2×C22).46D4 = C11×D4⋊C4central extension (φ=1)176(C2xC22).46D4352,51
(C2×C22).47D4 = C11×Q8⋊C4central extension (φ=1)352(C2xC22).47D4352,52
(C2×C22).48D4 = C11×C4.Q8central extension (φ=1)352(C2xC22).48D4352,55
(C2×C22).49D4 = C11×C2.D8central extension (φ=1)352(C2xC22).49D4352,56
(C2×C22).50D4 = C22⋊C4×C22central extension (φ=1)176(C2xC22).50D4352,150
(C2×C22).51D4 = C4⋊C4×C22central extension (φ=1)352(C2xC22).51D4352,151
(C2×C22).52D4 = D8×C22central extension (φ=1)176(C2xC22).52D4352,167
(C2×C22).53D4 = SD16×C22central extension (φ=1)176(C2xC22).53D4352,168
(C2×C22).54D4 = Q16×C22central extension (φ=1)352(C2xC22).54D4352,169

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