Extensions 1→N→G→Q→1 with N=C6×D8 and Q=C2

Direct product G=N×Q with N=C6×D8 and Q=C2
dρLabelID
C2×C6×D896C2xC6xD8192,1458

Semidirect products G=N:Q with N=C6×D8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×D8)⋊1C2 = D8.D6φ: C2/C1C2 ⊆ Out C6×D8484(C6xD8):1C2192,706
(C6×D8)⋊2C2 = C24.23D4φ: C2/C1C2 ⊆ Out C6×D8484(C6xD8):2C2192,719
(C6×D8)⋊3C2 = D813D6φ: C2/C1C2 ⊆ Out C6×D8484(C6xD8):3C2192,1316
(C6×D8)⋊4C2 = C2×C3⋊D16φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):4C2192,705
(C6×D8)⋊5C2 = C245D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):5C2192,710
(C6×D8)⋊6C2 = D63D8φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):6C2192,716
(C6×D8)⋊7C2 = C2×S3×D8φ: C2/C1C2 ⊆ Out C6×D848(C6xD8):7C2192,1313
(C6×D8)⋊8C2 = C2×D83S3φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):8C2192,1315
(C6×D8)⋊9C2 = C2411D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):9C2192,713
(C6×D8)⋊10C2 = C2412D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):10C2192,718
(C6×D8)⋊11C2 = C2×D8⋊S3φ: C2/C1C2 ⊆ Out C6×D848(C6xD8):11C2192,1314
(C6×D8)⋊12C2 = Dic3⋊D8φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):12C2192,709
(C6×D8)⋊13C2 = D12⋊D4φ: C2/C1C2 ⊆ Out C6×D848(C6xD8):13C2192,715
(C6×D8)⋊14C2 = Dic6⋊D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):14C2192,717
(C6×D8)⋊15C2 = C3×C22⋊D8φ: C2/C1C2 ⊆ Out C6×D848(C6xD8):15C2192,880
(C6×D8)⋊16C2 = C3×D4⋊D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):16C2192,882
(C6×D8)⋊17C2 = C3×C4⋊D8φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):17C2192,892
(C6×D8)⋊18C2 = C3×C87D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):18C2192,899
(C6×D8)⋊19C2 = C3×C84D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):19C2192,926
(C6×D8)⋊20C2 = C6×D16φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):20C2192,938
(C6×D8)⋊21C2 = C3×C82D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):21C2192,902
(C6×D8)⋊22C2 = C3×D4.4D4φ: C2/C1C2 ⊆ Out C6×D8484(C6xD8):22C2192,905
(C6×D8)⋊23C2 = C3×C83D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8):23C2192,929
(C6×D8)⋊24C2 = C3×C16⋊C22φ: C2/C1C2 ⊆ Out C6×D8484(C6xD8):24C2192,942
(C6×D8)⋊25C2 = C6×C8⋊C22φ: C2/C1C2 ⊆ Out C6×D848(C6xD8):25C2192,1462
(C6×D8)⋊26C2 = C3×D4○D8φ: C2/C1C2 ⊆ Out C6×D8484(C6xD8):26C2192,1465
(C6×D8)⋊27C2 = C6×C4○D8φ: trivial image96(C6xD8):27C2192,1461

Non-split extensions G=N.Q with N=C6×D8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×D8).1C2 = D8.Dic3φ: C2/C1C2 ⊆ Out C6×D8484(C6xD8).1C2192,122
(C6×D8).2C2 = D81Dic3φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).2C2192,121
(C6×D8).3C2 = C2×D8.S3φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).3C2192,707
(C6×D8).4C2 = Dic3×D8φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).4C2192,708
(C6×D8).5C2 = C24.22D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).5C2192,714
(C6×D8).6C2 = D8⋊Dic3φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).6C2192,711
(C6×D8).7C2 = C3×C2.D16φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).7C2192,163
(C6×D8).8C2 = (C6×D8).C2φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).8C2192,712
(C6×D8).9C2 = C3×D4.2D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).9C2192,896
(C6×D8).10C2 = C3×C8.12D4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).10C2192,928
(C6×D8).11C2 = C6×SD32φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).11C2192,939
(C6×D8).12C2 = C3×M5(2)⋊C2φ: C2/C1C2 ⊆ Out C6×D8484(C6xD8).12C2192,167
(C6×D8).13C2 = C3×D8⋊C4φ: C2/C1C2 ⊆ Out C6×D896(C6xD8).13C2192,875
(C6×D8).14C2 = C12×D8φ: trivial image96(C6xD8).14C2192,870

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