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Extensions 1→N→G→Q→1 with N=C22×C24 and Q=C2

Direct product G=N×Q with N=C22×C24 and Q=C2
dρLabelID
C23×C24192C2^3xC24192,1454

Semidirect products G=N:Q with N=C22×C24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C24)⋊1C2 = C2×D6⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):1C2192,667
(C22×C24)⋊2C2 = (C22×C8)⋊7S3φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):2C2192,669
(C22×C24)⋊3C2 = C2×C2.D24φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):3C2192,671
(C22×C24)⋊4C2 = C23.28D12φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):4C2192,672
(C22×C24)⋊5C2 = C6×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):5C2192,839
(C22×C24)⋊6C2 = C3×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):6C2192,841
(C22×C24)⋊7C2 = C6×D4⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):7C2192,847
(C22×C24)⋊8C2 = C3×C23.24D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):8C2192,849
(C22×C24)⋊9C2 = D4×C24φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):9C2192,867
(C22×C24)⋊10C2 = C24⋊29D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):10C2192,674
(C22×C24)⋊11C2 = C22×D24φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):11C2192,1299
(C22×C24)⋊12C2 = C2×C4○D24φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):12C2192,1300
(C22×C24)⋊13C2 = C24⋊30D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):13C2192,673
(C22×C24)⋊14C2 = C22×C24⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):14C2192,1298
(C22×C24)⋊15C2 = C3×C8⋊7D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):15C2192,899
(C22×C24)⋊16C2 = C2×C6×D8φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):16C2192,1458
(C22×C24)⋊17C2 = C6×C4○D8φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):17C2192,1461
(C22×C24)⋊18C2 = C8×C3⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):18C2192,668
(C22×C24)⋊19C2 = C24⋊33D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):19C2192,670
(C22×C24)⋊20C2 = S3×C22×C8φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):20C2192,1295
(C22×C24)⋊21C2 = C22×C8⋊S3φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):21C2192,1296
(C22×C24)⋊22C2 = C2×C8○D12φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):22C2192,1297
(C22×C24)⋊23C2 = C3×C8⋊8D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):23C2192,898
(C22×C24)⋊24C2 = C2×C6×SD16φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):24C2192,1459
(C22×C24)⋊25C2 = C3×C8⋊9D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):25C2192,868
(C22×C24)⋊26C2 = C2×C6×M4(2)φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):26C2192,1455
(C22×C24)⋊27C2 = C6×C8○D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24):27C2192,1456

Non-split extensions G=N.Q with N=C22×C24 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C24).1C2 = (C2×C24)⋊5C4φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).1C2192,109
(C22×C24).2C2 = C12.9C42φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).2C2192,110
(C22×C24).3C2 = C12.10C42φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).3C2192,111
(C22×C24).4C2 = C3×C22.7C42φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).4C2192,142
(C22×C24).5C2 = C3×C22.4Q16φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).5C2192,146
(C22×C24).6C2 = C3×C4.C42φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).6C2192,147
(C22×C24).7C2 = C3×C22⋊C16φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).7C2192,154
(C22×C24).8C2 = C2×Dic3⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).8C2192,658
(C22×C24).9C2 = Dic3⋊C8⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).9C2192,661
(C22×C24).10C2 = C2×C2.Dic12φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).10C2192,662
(C22×C24).11C2 = C6×Q8⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).11C2192,848
(C22×C24).12C2 = C6×C4⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).12C2192,855
(C22×C24).13C2 = C3×C42.6C22φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).13C2192,857
(C22×C24).14C2 = C2×C24⋊1C4φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).14C2192,664
(C22×C24).15C2 = C24.82D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).15C2192,675
(C22×C24).16C2 = C22×Dic12φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).16C2192,1301
(C22×C24).17C2 = C23.27D12φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).17C2192,665
(C22×C24).18C2 = C2×C24.C4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).18C2192,666
(C22×C24).19C2 = C2×C8⋊Dic3φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).19C2192,663
(C22×C24).20C2 = C6×C2.D8φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).20C2192,859
(C22×C24).21C2 = C3×C8.18D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).21C2192,900
(C22×C24).22C2 = C2×C6×Q16φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).22C2192,1460
(C22×C24).23C2 = C3×C23.25D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).23C2192,860
(C22×C24).24C2 = C6×C8.C4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).24C2192,862
(C22×C24).25C2 = C24.98D4φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).25C2192,108
(C22×C24).26C2 = C22×C3⋊C16φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).26C2192,655
(C22×C24).27C2 = C2×C12.C8φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).27C2192,656
(C22×C24).28C2 = Dic3×C2×C8φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).28C2192,657
(C22×C24).29C2 = C2×C24⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).29C2192,659
(C22×C24).30C2 = C12.12C42φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).30C2192,660
(C22×C24).31C2 = C6×C4.Q8φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).31C2192,858
(C22×C24).32C2 = C6×C8⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C24192(C2^2xC24).32C2192,836
(C22×C24).33C2 = C3×C8○2M4(2)φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).33C2192,838
(C22×C24).34C2 = C6×M5(2)φ: C2/C1 → C2 ⊆ Aut C22×C2496(C2^2xC24).34C2192,936

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