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Extensions 1→N→G→Q→1 with N=C3xC6 and Q=D8

Direct product G=NxQ with N=C3xC6 and Q=D8
dρLabelID
D8xC3xC6144D8xC3xC6288,829

Semidirect products G=N:Q with N=C3xC6 and Q=D8
extensionφ:Q→Aut NdρLabelID
(C3xC6):D8 = C2xC32:D8φ: D8/C2 → D4 ⊆ Aut C3xC648(C3xC6):D8288,883
(C3xC6):2D8 = C2xC32:2D8φ: D8/C4 → C22 ⊆ Aut C3xC696(C3xC6):2D8288,469
(C3xC6):3D8 = C2xC3:D24φ: D8/C4 → C22 ⊆ Aut C3xC648(C3xC6):3D8288,472
(C3xC6):4D8 = C6xD24φ: D8/C8 → C2 ⊆ Aut C3xC696(C3xC6):4D8288,674
(C3xC6):5D8 = C2xC32:5D8φ: D8/C8 → C2 ⊆ Aut C3xC6144(C3xC6):5D8288,760
(C3xC6):6D8 = C6xD4:S3φ: D8/D4 → C2 ⊆ Aut C3xC648(C3xC6):6D8288,702
(C3xC6):7D8 = C2xC32:7D8φ: D8/D4 → C2 ⊆ Aut C3xC6144(C3xC6):7D8288,788

Non-split extensions G=N.Q with N=C3xC6 and Q=D8
extensionφ:Q→Aut NdρLabelID
(C3xC6).1D8 = C32:D16φ: D8/C2 → D4 ⊆ Aut C3xC6488+(C3xC6).1D8288,382
(C3xC6).2D8 = C32:SD32φ: D8/C2 → D4 ⊆ Aut C3xC6488+(C3xC6).2D8288,383
(C3xC6).3D8 = C32:Q32φ: D8/C2 → D4 ⊆ Aut C3xC6968-(C3xC6).3D8288,384
(C3xC6).4D8 = C62.3D4φ: D8/C2 → D4 ⊆ Aut C3xC648(C3xC6).4D8288,387
(C3xC6).5D8 = C62.7D4φ: D8/C2 → D4 ⊆ Aut C3xC696(C3xC6).5D8288,391
(C3xC6).6D8 = C32:2D16φ: D8/C4 → C22 ⊆ Aut C3xC6964(C3xC6).6D8288,193
(C3xC6).7D8 = C3:D48φ: D8/C4 → C22 ⊆ Aut C3xC6484+(C3xC6).7D8288,194
(C3xC6).8D8 = D24.S3φ: D8/C4 → C22 ⊆ Aut C3xC6964(C3xC6).8D8288,195
(C3xC6).9D8 = C32:3SD32φ: D8/C4 → C22 ⊆ Aut C3xC6964-(C3xC6).9D8288,196
(C3xC6).10D8 = C24.49D6φ: D8/C4 → C22 ⊆ Aut C3xC6484+(C3xC6).10D8288,197
(C3xC6).11D8 = C32:2Q32φ: D8/C4 → C22 ⊆ Aut C3xC6964(C3xC6).11D8288,198
(C3xC6).12D8 = C32:3Q32φ: D8/C4 → C22 ⊆ Aut C3xC6964-(C3xC6).12D8288,199
(C3xC6).13D8 = D12:3Dic3φ: D8/C4 → C22 ⊆ Aut C3xC696(C3xC6).13D8288,210
(C3xC6).14D8 = C6.16D24φ: D8/C4 → C22 ⊆ Aut C3xC696(C3xC6).14D8288,211
(C3xC6).15D8 = C6.17D24φ: D8/C4 → C22 ⊆ Aut C3xC648(C3xC6).15D8288,212
(C3xC6).16D8 = C6.18D24φ: D8/C4 → C22 ⊆ Aut C3xC696(C3xC6).16D8288,223
(C3xC6).17D8 = C12.8Dic6φ: D8/C4 → C22 ⊆ Aut C3xC696(C3xC6).17D8288,224
(C3xC6).18D8 = C3xD48φ: D8/C8 → C2 ⊆ Aut C3xC6962(C3xC6).18D8288,233
(C3xC6).19D8 = C3xC48:C2φ: D8/C8 → C2 ⊆ Aut C3xC6962(C3xC6).19D8288,234
(C3xC6).20D8 = C3xDic24φ: D8/C8 → C2 ⊆ Aut C3xC6962(C3xC6).20D8288,235
(C3xC6).21D8 = C3xC24:1C4φ: D8/C8 → C2 ⊆ Aut C3xC696(C3xC6).21D8288,252
(C3xC6).22D8 = C3xC2.D24φ: D8/C8 → C2 ⊆ Aut C3xC696(C3xC6).22D8288,255
(C3xC6).23D8 = C32:5D16φ: D8/C8 → C2 ⊆ Aut C3xC6144(C3xC6).23D8288,274
(C3xC6).24D8 = C6.D24φ: D8/C8 → C2 ⊆ Aut C3xC6144(C3xC6).24D8288,275
(C3xC6).25D8 = C32:5Q32φ: D8/C8 → C2 ⊆ Aut C3xC6288(C3xC6).25D8288,276
(C3xC6).26D8 = C24:1Dic3φ: D8/C8 → C2 ⊆ Aut C3xC6288(C3xC6).26D8288,293
(C3xC6).27D8 = C62.84D4φ: D8/C8 → C2 ⊆ Aut C3xC6144(C3xC6).27D8288,296
(C3xC6).28D8 = C3xC6.Q16φ: D8/D4 → C2 ⊆ Aut C3xC696(C3xC6).28D8288,241
(C3xC6).29D8 = C3xC6.D8φ: D8/D4 → C2 ⊆ Aut C3xC696(C3xC6).29D8288,243
(C3xC6).30D8 = C3xC3:D16φ: D8/D4 → C2 ⊆ Aut C3xC6484(C3xC6).30D8288,260
(C3xC6).31D8 = C3xD8.S3φ: D8/D4 → C2 ⊆ Aut C3xC6484(C3xC6).31D8288,261
(C3xC6).32D8 = C3xC8.6D6φ: D8/D4 → C2 ⊆ Aut C3xC6964(C3xC6).32D8288,262
(C3xC6).33D8 = C3xC3:Q32φ: D8/D4 → C2 ⊆ Aut C3xC6964(C3xC6).33D8288,263
(C3xC6).34D8 = C3xD4:Dic3φ: D8/D4 → C2 ⊆ Aut C3xC648(C3xC6).34D8288,266
(C3xC6).35D8 = C12.9Dic6φ: D8/D4 → C2 ⊆ Aut C3xC6288(C3xC6).35D8288,282
(C3xC6).36D8 = C62.113D4φ: D8/D4 → C2 ⊆ Aut C3xC6144(C3xC6).36D8288,284
(C3xC6).37D8 = C32:7D16φ: D8/D4 → C2 ⊆ Aut C3xC6144(C3xC6).37D8288,301
(C3xC6).38D8 = C32:8SD32φ: D8/D4 → C2 ⊆ Aut C3xC6144(C3xC6).38D8288,302
(C3xC6).39D8 = C32:10SD32φ: D8/D4 → C2 ⊆ Aut C3xC6144(C3xC6).39D8288,303
(C3xC6).40D8 = C32:7Q32φ: D8/D4 → C2 ⊆ Aut C3xC6288(C3xC6).40D8288,304
(C3xC6).41D8 = C62.116D4φ: D8/D4 → C2 ⊆ Aut C3xC6144(C3xC6).41D8288,307
(C3xC6).42D8 = C32xD4:C4central extension (φ=1)144(C3xC6).42D8288,320
(C3xC6).43D8 = C32xC2.D8central extension (φ=1)288(C3xC6).43D8288,325
(C3xC6).44D8 = C32xD16central extension (φ=1)144(C3xC6).44D8288,329
(C3xC6).45D8 = C32xSD32central extension (φ=1)144(C3xC6).45D8288,330
(C3xC6).46D8 = C32xQ32central extension (φ=1)288(C3xC6).46D8288,331

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