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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=D8

Direct product G=N×Q with N=C3×C6 and Q=D8
dρLabelID
D8×C3×C6144D8xC3xC6288,829

Semidirect products G=N:Q with N=C3×C6 and Q=D8
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊D8 = C2×C32⋊D8φ: D8/C2 → D4 ⊆ Aut C3×C648(C3xC6):D8288,883
(C3×C6)⋊2D8 = C2×C32⋊2D8φ: D8/C4 → C22 ⊆ Aut C3×C696(C3xC6):2D8288,469
(C3×C6)⋊3D8 = C2×C3⋊D24φ: D8/C4 → C22 ⊆ Aut C3×C648(C3xC6):3D8288,472
(C3×C6)⋊4D8 = C6×D24φ: D8/C8 → C2 ⊆ Aut C3×C696(C3xC6):4D8288,674
(C3×C6)⋊5D8 = C2×C32⋊5D8φ: D8/C8 → C2 ⊆ Aut C3×C6144(C3xC6):5D8288,760
(C3×C6)⋊6D8 = C6×D4⋊S3φ: D8/D4 → C2 ⊆ Aut C3×C648(C3xC6):6D8288,702
(C3×C6)⋊7D8 = C2×C32⋊7D8φ: D8/D4 → C2 ⊆ Aut C3×C6144(C3xC6):7D8288,788

Non-split extensions G=N.Q with N=C3×C6 and Q=D8
extensionφ:Q→Aut NdρLabelID
(C3×C6).1D8 = C32⋊D16φ: D8/C2 → D4 ⊆ Aut C3×C6488+(C3xC6).1D8288,382
(C3×C6).2D8 = C32⋊SD32φ: D8/C2 → D4 ⊆ Aut C3×C6488+(C3xC6).2D8288,383
(C3×C6).3D8 = C32⋊Q32φ: D8/C2 → D4 ⊆ Aut C3×C6968-(C3xC6).3D8288,384
(C3×C6).4D8 = C62.3D4φ: D8/C2 → D4 ⊆ Aut C3×C648(C3xC6).4D8288,387
(C3×C6).5D8 = C62.7D4φ: D8/C2 → D4 ⊆ Aut C3×C696(C3xC6).5D8288,391
(C3×C6).6D8 = C32⋊2D16φ: D8/C4 → C22 ⊆ Aut C3×C6964(C3xC6).6D8288,193
(C3×C6).7D8 = C3⋊D48φ: D8/C4 → C22 ⊆ Aut C3×C6484+(C3xC6).7D8288,194
(C3×C6).8D8 = D24.S3φ: D8/C4 → C22 ⊆ Aut C3×C6964(C3xC6).8D8288,195
(C3×C6).9D8 = C32⋊3SD32φ: D8/C4 → C22 ⊆ Aut C3×C6964-(C3xC6).9D8288,196
(C3×C6).10D8 = C24.49D6φ: D8/C4 → C22 ⊆ Aut C3×C6484+(C3xC6).10D8288,197
(C3×C6).11D8 = C32⋊2Q32φ: D8/C4 → C22 ⊆ Aut C3×C6964(C3xC6).11D8288,198
(C3×C6).12D8 = C32⋊3Q32φ: D8/C4 → C22 ⊆ Aut C3×C6964-(C3xC6).12D8288,199
(C3×C6).13D8 = D12⋊3Dic3φ: D8/C4 → C22 ⊆ Aut C3×C696(C3xC6).13D8288,210
(C3×C6).14D8 = C6.16D24φ: D8/C4 → C22 ⊆ Aut C3×C696(C3xC6).14D8288,211
(C3×C6).15D8 = C6.17D24φ: D8/C4 → C22 ⊆ Aut C3×C648(C3xC6).15D8288,212
(C3×C6).16D8 = C6.18D24φ: D8/C4 → C22 ⊆ Aut C3×C696(C3xC6).16D8288,223
(C3×C6).17D8 = C12.8Dic6φ: D8/C4 → C22 ⊆ Aut C3×C696(C3xC6).17D8288,224
(C3×C6).18D8 = C3×D48φ: D8/C8 → C2 ⊆ Aut C3×C6962(C3xC6).18D8288,233
(C3×C6).19D8 = C3×C48⋊C2φ: D8/C8 → C2 ⊆ Aut C3×C6962(C3xC6).19D8288,234
(C3×C6).20D8 = C3×Dic24φ: D8/C8 → C2 ⊆ Aut C3×C6962(C3xC6).20D8288,235
(C3×C6).21D8 = C3×C24⋊1C4φ: D8/C8 → C2 ⊆ Aut C3×C696(C3xC6).21D8288,252
(C3×C6).22D8 = C3×C2.D24φ: D8/C8 → C2 ⊆ Aut C3×C696(C3xC6).22D8288,255
(C3×C6).23D8 = C32⋊5D16φ: D8/C8 → C2 ⊆ Aut C3×C6144(C3xC6).23D8288,274
(C3×C6).24D8 = C6.D24φ: D8/C8 → C2 ⊆ Aut C3×C6144(C3xC6).24D8288,275
(C3×C6).25D8 = C32⋊5Q32φ: D8/C8 → C2 ⊆ Aut C3×C6288(C3xC6).25D8288,276
(C3×C6).26D8 = C24⋊1Dic3φ: D8/C8 → C2 ⊆ Aut C3×C6288(C3xC6).26D8288,293
(C3×C6).27D8 = C62.84D4φ: D8/C8 → C2 ⊆ Aut C3×C6144(C3xC6).27D8288,296
(C3×C6).28D8 = C3×C6.Q16φ: D8/D4 → C2 ⊆ Aut C3×C696(C3xC6).28D8288,241
(C3×C6).29D8 = C3×C6.D8φ: D8/D4 → C2 ⊆ Aut C3×C696(C3xC6).29D8288,243
(C3×C6).30D8 = C3×C3⋊D16φ: D8/D4 → C2 ⊆ Aut C3×C6484(C3xC6).30D8288,260
(C3×C6).31D8 = C3×D8.S3φ: D8/D4 → C2 ⊆ Aut C3×C6484(C3xC6).31D8288,261
(C3×C6).32D8 = C3×C8.6D6φ: D8/D4 → C2 ⊆ Aut C3×C6964(C3xC6).32D8288,262
(C3×C6).33D8 = C3×C3⋊Q32φ: D8/D4 → C2 ⊆ Aut C3×C6964(C3xC6).33D8288,263
(C3×C6).34D8 = C3×D4⋊Dic3φ: D8/D4 → C2 ⊆ Aut C3×C648(C3xC6).34D8288,266
(C3×C6).35D8 = C12.9Dic6φ: D8/D4 → C2 ⊆ Aut C3×C6288(C3xC6).35D8288,282
(C3×C6).36D8 = C62.113D4φ: D8/D4 → C2 ⊆ Aut C3×C6144(C3xC6).36D8288,284
(C3×C6).37D8 = C32⋊7D16φ: D8/D4 → C2 ⊆ Aut C3×C6144(C3xC6).37D8288,301
(C3×C6).38D8 = C32⋊8SD32φ: D8/D4 → C2 ⊆ Aut C3×C6144(C3xC6).38D8288,302
(C3×C6).39D8 = C32⋊10SD32φ: D8/D4 → C2 ⊆ Aut C3×C6144(C3xC6).39D8288,303
(C3×C6).40D8 = C32⋊7Q32φ: D8/D4 → C2 ⊆ Aut C3×C6288(C3xC6).40D8288,304
(C3×C6).41D8 = C62.116D4φ: D8/D4 → C2 ⊆ Aut C3×C6144(C3xC6).41D8288,307
(C3×C6).42D8 = C32×D4⋊C4central extension (φ=1)144(C3xC6).42D8288,320
(C3×C6).43D8 = C32×C2.D8central extension (φ=1)288(C3xC6).43D8288,325
(C3×C6).44D8 = C32×D16central extension (φ=1)144(C3xC6).44D8288,329
(C3×C6).45D8 = C32×SD32central extension (φ=1)144(C3xC6).45D8288,330
(C3×C6).46D8 = C32×Q32central extension (φ=1)288(C3xC6).46D8288,331

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