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Extensions 1→N→G→Q→1 with N=C2×C18 and Q=D4

Direct product G=N×Q with N=C2×C18 and Q=D4
dρLabelID
D4×C2×C18144D4xC2xC18288,368

Semidirect products G=N:Q with N=C2×C18 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2×C18)⋊1D4 = C22⋊3D36φ: D4/C2 → C22 ⊆ Aut C2×C1872(C2xC18):1D4288,92
(C2×C18)⋊2D4 = C23⋊2D18φ: D4/C2 → C22 ⊆ Aut C2×C1872(C2xC18):2D4288,147
(C2×C18)⋊3D4 = Dic9⋊D4φ: D4/C2 → C22 ⊆ Aut C2×C18144(C2xC18):3D4288,149
(C2×C18)⋊4D4 = C9×C4⋊D4φ: D4/C4 → C2 ⊆ Aut C2×C18144(C2xC18):4D4288,171
(C2×C18)⋊5D4 = C36⋊7D4φ: D4/C4 → C2 ⊆ Aut C2×C18144(C2xC18):5D4288,140
(C2×C18)⋊6D4 = C22×D36φ: D4/C4 → C2 ⊆ Aut C2×C18144(C2xC18):6D4288,354
(C2×C18)⋊7D4 = C9×C22≀C2φ: D4/C22 → C2 ⊆ Aut C2×C1872(C2xC18):7D4288,170
(C2×C18)⋊8D4 = C24⋊4D9φ: D4/C22 → C2 ⊆ Aut C2×C1872(C2xC18):8D4288,163
(C2×C18)⋊9D4 = C22×C9⋊D4φ: D4/C22 → C2 ⊆ Aut C2×C18144(C2xC18):9D4288,366

Non-split extensions G=N.Q with N=C2×C18 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2×C18).1D4 = Dic18⋊C4φ: D4/C2 → C22 ⊆ Aut C2×C18724(C2xC18).1D4288,32
(C2×C18).2D4 = C23⋊2Dic9φ: D4/C2 → C22 ⊆ Aut C2×C18724(C2xC18).2D4288,41
(C2×C18).3D4 = Q8⋊3Dic9φ: D4/C2 → C22 ⊆ Aut C2×C18724(C2xC18).3D4288,44
(C2×C18).4D4 = C22.4D36φ: D4/C2 → C22 ⊆ Aut C2×C18144(C2xC18).4D4288,96
(C2×C18).5D4 = C8⋊D18φ: D4/C2 → C22 ⊆ Aut C2×C18724+(C2xC18).5D4288,118
(C2×C18).6D4 = C8.D18φ: D4/C2 → C22 ⊆ Aut C2×C181444-(C2xC18).6D4288,119
(C2×C18).7D4 = C23.23D18φ: D4/C2 → C22 ⊆ Aut C2×C18144(C2xC18).7D4288,145
(C2×C18).8D4 = D4.D18φ: D4/C2 → C22 ⊆ Aut C2×C181444-(C2xC18).8D4288,159
(C2×C18).9D4 = D4⋊D18φ: D4/C2 → C22 ⊆ Aut C2×C18724+(C2xC18).9D4288,160
(C2×C18).10D4 = D4.9D18φ: D4/C2 → C22 ⊆ Aut C2×C181444(C2xC18).10D4288,161
(C2×C18).11D4 = C9×C4○D8φ: D4/C4 → C2 ⊆ Aut C2×C181442(C2xC18).11D4288,185
(C2×C18).12D4 = C36.45D4φ: D4/C4 → C2 ⊆ Aut C2×C18288(C2xC18).12D4288,24
(C2×C18).13D4 = C8⋊Dic9φ: D4/C4 → C2 ⊆ Aut C2×C18288(C2xC18).13D4288,25
(C2×C18).14D4 = C72⋊1C4φ: D4/C4 → C2 ⊆ Aut C2×C18288(C2xC18).14D4288,26
(C2×C18).15D4 = C2.D72φ: D4/C4 → C2 ⊆ Aut C2×C18144(C2xC18).15D4288,28
(C2×C18).16D4 = C2×Dic36φ: D4/C4 → C2 ⊆ Aut C2×C18288(C2xC18).16D4288,109
(C2×C18).17D4 = C2×C72⋊C2φ: D4/C4 → C2 ⊆ Aut C2×C18144(C2xC18).17D4288,113
(C2×C18).18D4 = C2×D72φ: D4/C4 → C2 ⊆ Aut C2×C18144(C2xC18).18D4288,114
(C2×C18).19D4 = D72⋊7C2φ: D4/C4 → C2 ⊆ Aut C2×C181442(C2xC18).19D4288,115
(C2×C18).20D4 = C2×C4⋊Dic9φ: D4/C4 → C2 ⊆ Aut C2×C18288(C2xC18).20D4288,135
(C2×C18).21D4 = C2×D18⋊C4φ: D4/C4 → C2 ⊆ Aut C2×C18144(C2xC18).21D4288,137
(C2×C18).22D4 = C9×C23⋊C4φ: D4/C22 → C2 ⊆ Aut C2×C18724(C2xC18).22D4288,49
(C2×C18).23D4 = C9×C4≀C2φ: D4/C22 → C2 ⊆ Aut C2×C18722(C2xC18).23D4288,54
(C2×C18).24D4 = C9×C22.D4φ: D4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).24D4288,173
(C2×C18).25D4 = C9×C8⋊C22φ: D4/C22 → C2 ⊆ Aut C2×C18724(C2xC18).25D4288,186
(C2×C18).26D4 = C9×C8.C22φ: D4/C22 → C2 ⊆ Aut C2×C181444(C2xC18).26D4288,187
(C2×C18).27D4 = C42⋊4D9φ: D4/C22 → C2 ⊆ Aut C2×C18722(C2xC18).27D4288,12
(C2×C18).28D4 = C22.D36φ: D4/C22 → C2 ⊆ Aut C2×C18724(C2xC18).28D4288,13
(C2×C18).29D4 = C36.Q8φ: D4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).29D4288,14
(C2×C18).30D4 = C4.Dic18φ: D4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).30D4288,15
(C2×C18).31D4 = C18.Q16φ: D4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).31D4288,16
(C2×C18).32D4 = C18.D8φ: D4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).32D4288,17
(C2×C18).33D4 = C18.C42φ: D4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).33D4288,38
(C2×C18).34D4 = D4⋊Dic9φ: D4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).34D4288,40
(C2×C18).35D4 = Q8⋊2Dic9φ: D4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).35D4288,43
(C2×C18).36D4 = C2×Dic9⋊C4φ: D4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).36D4288,133
(C2×C18).37D4 = C23.28D18φ: D4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).37D4288,139
(C2×C18).38D4 = C2×D4.D9φ: D4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).38D4288,141
(C2×C18).39D4 = C2×D4⋊D9φ: D4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).39D4288,142
(C2×C18).40D4 = D36⋊6C22φ: D4/C22 → C2 ⊆ Aut C2×C18724(C2xC18).40D4288,143
(C2×C18).41D4 = C2×C9⋊Q16φ: D4/C22 → C2 ⊆ Aut C2×C18288(C2xC18).41D4288,151
(C2×C18).42D4 = C2×Q8⋊2D9φ: D4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).42D4288,152
(C2×C18).43D4 = C36.C23φ: D4/C22 → C2 ⊆ Aut C2×C181444(C2xC18).43D4288,153
(C2×C18).44D4 = C2×C18.D4φ: D4/C22 → C2 ⊆ Aut C2×C18144(C2xC18).44D4288,162
(C2×C18).45D4 = C9×C2.C42central extension (φ=1)288(C2xC18).45D4288,45
(C2×C18).46D4 = C9×D4⋊C4central extension (φ=1)144(C2xC18).46D4288,52
(C2×C18).47D4 = C9×Q8⋊C4central extension (φ=1)288(C2xC18).47D4288,53
(C2×C18).48D4 = C9×C4.Q8central extension (φ=1)288(C2xC18).48D4288,56
(C2×C18).49D4 = C9×C2.D8central extension (φ=1)288(C2xC18).49D4288,57
(C2×C18).50D4 = C22⋊C4×C18central extension (φ=1)144(C2xC18).50D4288,165
(C2×C18).51D4 = C4⋊C4×C18central extension (φ=1)288(C2xC18).51D4288,166
(C2×C18).52D4 = D8×C18central extension (φ=1)144(C2xC18).52D4288,182
(C2×C18).53D4 = SD16×C18central extension (φ=1)144(C2xC18).53D4288,183
(C2×C18).54D4 = Q16×C18central extension (φ=1)288(C2xC18).54D4288,184

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