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Extensions 1→N→G→Q→1 with N=C2×C24⋊C2 and Q=C2

Direct product G=N×Q with N=C2×C24⋊C2 and Q=C2
dρLabelID
C22×C24⋊C296C2^2xC24:C2192,1298

Semidirect products G=N:Q with N=C2×C24⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C24⋊C2)⋊1C2 = C8⋊D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):1C2192,271
(C2×C24⋊C2)⋊2C2 = C24⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):2C2192,693
(C2×C24⋊C2)⋊3C2 = Q8.8D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C2484(C2xC24:C2):3C2192,700
(C2×C24⋊C2)⋊4C2 = C2×C8⋊D6φ: C2/C1 → C2 ⊆ Out C2×C24⋊C248(C2xC24:C2):4C2192,1305
(C2×C24⋊C2)⋊5C2 = C2×C8.D6φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):5C2192,1306
(C2×C24⋊C2)⋊6C2 = D4.11D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C2484(C2xC24:C2):6C2192,1310
(C2×C24⋊C2)⋊7C2 = C8⋊5D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):7C2192,252
(C2×C24⋊C2)⋊8C2 = C8.8D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):8C2192,255
(C2×C24⋊C2)⋊9C2 = D12.31D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C248(C2xC24:C2):9C2192,290
(C2×C24⋊C2)⋊10C2 = D12.32D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):10C2192,292
(C2×C24⋊C2)⋊11C2 = D12⋊14D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):11C2192,293
(C2×C24⋊C2)⋊12C2 = Dic6⋊14D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):12C2192,297
(C2×C24⋊C2)⋊13C2 = Dic6⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):13C2192,321
(C2×C24⋊C2)⋊14C2 = D6⋊5SD16φ: C2/C1 → C2 ⊆ Out C2×C24⋊C248(C2xC24:C2):14C2192,335
(C2×C24⋊C2)⋊15C2 = D4⋊3D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):15C2192,340
(C2×C24⋊C2)⋊16C2 = D12.D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):16C2192,346
(C2×C24⋊C2)⋊17C2 = Q8⋊3D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):17C2192,365
(C2×C24⋊C2)⋊18C2 = Q8.11D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):18C2192,367
(C2×C24⋊C2)⋊19C2 = D12.19D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):19C2192,403
(C2×C24⋊C2)⋊20C2 = Dic6⋊8D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):20C2192,407
(C2×C24⋊C2)⋊21C2 = C24⋊30D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):21C2192,673
(C2×C24⋊C2)⋊22C2 = C8⋊3D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):22C2192,445
(C2×C24⋊C2)⋊23C2 = C24⋊11D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):23C2192,713
(C2×C24⋊C2)⋊24C2 = C2×D8⋊S3φ: C2/C1 → C2 ⊆ Out C2×C24⋊C248(C2xC24:C2):24C2192,1314
(C2×C24⋊C2)⋊25C2 = C2×Q16⋊S3φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):25C2192,1323
(C2×C24⋊C2)⋊26C2 = C24.42D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C2484(C2xC24:C2):26C2192,457
(C2×C24⋊C2)⋊27C2 = D8⋊11D6φ: C2/C1 → C2 ⊆ Out C2×C24⋊C2484(C2xC24:C2):27C2192,1329
(C2×C24⋊C2)⋊28C2 = C8⋊8D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):28C2192,423
(C2×C24⋊C2)⋊29C2 = C24.43D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):29C2192,727
(C2×C24⋊C2)⋊30C2 = C24⋊15D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):30C2192,734
(C2×C24⋊C2)⋊31C2 = C2×S3×SD16φ: C2/C1 → C2 ⊆ Out C2×C24⋊C248(C2xC24:C2):31C2192,1317
(C2×C24⋊C2)⋊32C2 = C2×Q8.7D6φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2):32C2192,1320
(C2×C24⋊C2)⋊33C2 = C2×C4○D24φ: trivial image96(C2xC24:C2):33C2192,1300

Non-split extensions G=N.Q with N=C2×C24⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C24⋊C2).1C2 = C42.16D6φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2).1C2192,269
(C2×C24⋊C2).2C2 = C8.D12φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2).2C2192,274
(C2×C24⋊C2).3C2 = Dic6.11D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2).3C2192,357
(C2×C24⋊C2).4C2 = Dic3⋊SD16φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2).4C2192,377
(C2×C24⋊C2).5C2 = C12⋊SD16φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2).5C2192,400
(C2×C24⋊C2).6C2 = C42.36D6φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2).6C2192,404
(C2×C24⋊C2).7C2 = C24⋊C2⋊C4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2).7C2192,448
(C2×C24⋊C2).8C2 = C24.37D4φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2).8C2192,749
(C2×C24⋊C2).9C2 = Dic3⋊8SD16φ: C2/C1 → C2 ⊆ Out C2×C24⋊C296(C2xC24:C2).9C2192,411
(C2×C24⋊C2).10C2 = C4×C24⋊C2φ: trivial image96(C2xC24:C2).10C2192,250

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