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Extensions 1→N→G→Q→1 with N=C2×C8⋊S3 and Q=C2

Direct product G=N×Q with N=C2×C8⋊S3 and Q=C2
dρLabelID
C22×C8⋊S396C2^2xC8:S3192,1296

Semidirect products G=N:Q with N=C2×C8⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C8⋊S3)⋊1C2 = SD16⋊D6φ: C2/C1 → C2 ⊆ Out C2×C8⋊S3484(C2xC8:S3):1C2192,1327
(C2×C8⋊S3)⋊2C2 = C24⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):2C2192,424
(C2×C8⋊S3)⋊3C2 = C24⋊8D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):3C2192,733
(C2×C8⋊S3)⋊4C2 = C2×Q8⋊3D6φ: C2/C1 → C2 ⊆ Out C2×C8⋊S348(C2xC8:S3):4C2192,1318
(C2×C8⋊S3)⋊5C2 = C2×D4.D6φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):5C2192,1319
(C2×C8⋊S3)⋊6C2 = C8⋊3D12φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):6C2192,445
(C2×C8⋊S3)⋊7C2 = C24⋊12D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):7C2192,718
(C2×C8⋊S3)⋊8C2 = C2×D8⋊S3φ: C2/C1 → C2 ⊆ Out C2×C8⋊S348(C2xC8:S3):8C2192,1314
(C2×C8⋊S3)⋊9C2 = C2×Q16⋊S3φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):9C2192,1323
(C2×C8⋊S3)⋊10C2 = C8⋊6D12φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):10C2192,247
(C2×C8⋊S3)⋊11C2 = D6⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S348(C2xC8:S3):11C2192,285
(C2×C8⋊S3)⋊12C2 = D6⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):12C2192,286
(C2×C8⋊S3)⋊13C2 = Dic3⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):13C2192,288
(C2×C8⋊S3)⋊14C2 = C3⋊C8⋊26D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):14C2192,289
(C2×C8⋊S3)⋊15C2 = C4⋊C4⋊19D6φ: C2/C1 → C2 ⊆ Out C2×C8⋊S348(C2xC8:S3):15C2192,329
(C2×C8⋊S3)⋊16C2 = D4⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):16C2192,330
(C2×C8⋊S3)⋊17C2 = C3⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):17C2192,339
(C2×C8⋊S3)⋊18C2 = C3⋊C8⋊D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):18C2192,341
(C2×C8⋊S3)⋊19C2 = Q8⋊7(C4×S3)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):19C2192,362
(C2×C8⋊S3)⋊20C2 = C3⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):20C2192,371
(C2×C8⋊S3)⋊21C2 = D6⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):21C2192,395
(C2×C8⋊S3)⋊22C2 = C12⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):22C2192,397
(C2×C8⋊S3)⋊23C2 = C24⋊33D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):23C2192,670
(C2×C8⋊S3)⋊24C2 = C8⋊9D12φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):24C2192,265
(C2×C8⋊S3)⋊25C2 = C24⋊21D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):25C2192,687
(C2×C8⋊S3)⋊26C2 = C2×S3×M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S348(C2xC8:S3):26C2192,1302
(C2×C8⋊S3)⋊27C2 = C2×D12.C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3):27C2192,1303
(C2×C8⋊S3)⋊28C2 = M4(2)⋊28D6φ: C2/C1 → C2 ⊆ Out C2×C8⋊S3484(C2xC8:S3):28C2192,1309
(C2×C8⋊S3)⋊29C2 = C2×C8○D12φ: trivial image96(C2xC8:S3):29C2192,1297

Non-split extensions G=N.Q with N=C2×C8⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C8⋊S3).1C2 = M4(2).25D6φ: C2/C1 → C2 ⊆ Out C2×C8⋊S3484(C2xC8:S3).1C2192,452
(C2×C8⋊S3).2C2 = C8⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3).2C2192,420
(C2×C8⋊S3).3C2 = C8.2D12φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3).3C2192,426
(C2×C8⋊S3).4C2 = C8⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3).4C2192,440
(C2×C8⋊S3).5C2 = C24.36D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3).5C2192,748
(C2×C8⋊S3).6C2 = (S3×Q8)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3).6C2192,361
(C2×C8⋊S3).7C2 = C3⋊C8.D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3).7C2192,375
(C2×C8⋊S3).8C2 = C12⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3).8C2192,396
(C2×C8⋊S3).9C2 = C42.30D6φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3).9C2192,398
(C2×C8⋊S3).10C2 = C8.25D12φ: C2/C1 → C2 ⊆ Out C2×C8⋊S3484(C2xC8:S3).10C2192,73
(C2×C8⋊S3).11C2 = Dic3⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3).11C2192,266
(C2×C8⋊S3).12C2 = D6.4C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊S396(C2xC8:S3).12C2192,267
(C2×C8⋊S3).13C2 = C4×C8⋊S3φ: trivial image96(C2xC8:S3).13C2192,246
(C2×C8⋊S3).14C2 = D6.C42φ: trivial image96(C2xC8:S3).14C2192,248

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