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Extensions 1→N→G→Q→1 with N=C2×C4○D4 and Q=C6

Direct product G=N×Q with N=C2×C4○D4 and Q=C6
dρLabelID
C2×C6×C4○D496C2xC6xC4oD4192,1533

Semidirect products G=N:Q with N=C2×C4○D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C4○D4)⋊1C6 = SL2(𝔽3)⋊5D4φ: C6/C1 → C6 ⊆ Out C2×C4○D432(C2xC4oD4):1C6192,1003
(C2×C4○D4)⋊2C6 = C2×D4.A4φ: C6/C1 → C6 ⊆ Out C2×C4○D432(C2xC4oD4):2C6192,1503
(C2×C4○D4)⋊3C6 = 2- 1+4⋊3C6φ: C6/C1 → C6 ⊆ Out C2×C4○D4324(C2xC4oD4):3C6192,1504
(C2×C4○D4)⋊4C6 = C22×C4.A4φ: C6/C2 → C3 ⊆ Out C2×C4○D464(C2xC4oD4):4C6192,1500
(C2×C4○D4)⋊5C6 = C3×D4⋊D4φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4):5C6192,882
(C2×C4○D4)⋊6C6 = C3×C22.19C24φ: C6/C3 → C2 ⊆ Out C2×C4○D448(C2xC4oD4):6C6192,1414
(C2×C4○D4)⋊7C6 = C3×C22.26C24φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4):7C6192,1421
(C2×C4○D4)⋊8C6 = C3×C22.29C24φ: C6/C3 → C2 ⊆ Out C2×C4○D448(C2xC4oD4):8C6192,1424
(C2×C4○D4)⋊9C6 = C3×C22.31C24φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4):9C6192,1426
(C2×C4○D4)⋊10C6 = C3×D4⋊5D4φ: C6/C3 → C2 ⊆ Out C2×C4○D448(C2xC4oD4):10C6192,1435
(C2×C4○D4)⋊11C6 = C3×D4⋊6D4φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4):11C6192,1436
(C2×C4○D4)⋊12C6 = C3×Q8⋊5D4φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4):12C6192,1437
(C2×C4○D4)⋊13C6 = C3×Q8⋊6D4φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4):13C6192,1439
(C2×C4○D4)⋊14C6 = C6×C4○D8φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4):14C6192,1461
(C2×C4○D4)⋊15C6 = C6×C8⋊C22φ: C6/C3 → C2 ⊆ Out C2×C4○D448(C2xC4oD4):15C6192,1462
(C2×C4○D4)⋊16C6 = C3×D8⋊C22φ: C6/C3 → C2 ⊆ Out C2×C4○D4484(C2xC4oD4):16C6192,1464
(C2×C4○D4)⋊17C6 = C6×2+ 1+4φ: C6/C3 → C2 ⊆ Out C2×C4○D448(C2xC4oD4):17C6192,1534
(C2×C4○D4)⋊18C6 = C6×2- 1+4φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4):18C6192,1535
(C2×C4○D4)⋊19C6 = C3×C2.C25φ: C6/C3 → C2 ⊆ Out C2×C4○D4484(C2xC4oD4):19C6192,1536

Non-split extensions G=N.Q with N=C2×C4○D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C4○D4).1C6 = C4○D4⋊C12φ: C6/C1 → C6 ⊆ Out C2×C4○D464(C2xC4oD4).1C6192,999
(C2×C4○D4).2C6 = SL2(𝔽3)⋊6D4φ: C6/C1 → C6 ⊆ Out C2×C4○D464(C2xC4oD4).2C6192,1005
(C2×C4○D4).3C6 = M4(2).A4φ: C6/C1 → C6 ⊆ Out C2×C4○D4324(C2xC4oD4).3C6192,1013
(C2×C4○D4).4C6 = C2×Q8.A4φ: C6/C1 → C6 ⊆ Out C2×C4○D448(C2xC4oD4).4C6192,1502
(C2×C4○D4).5C6 = C4×C4.A4φ: C6/C2 → C3 ⊆ Out C2×C4○D464(C2xC4oD4).5C6192,997
(C2×C4○D4).6C6 = C2×C8.A4φ: C6/C2 → C3 ⊆ Out C2×C4○D464(C2xC4oD4).6C6192,1012
(C2×C4○D4).7C6 = C3×(C22×C8)⋊C2φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4).7C6192,841
(C2×C4○D4).8C6 = C3×C23.C23φ: C6/C3 → C2 ⊆ Out C2×C4○D4484(C2xC4oD4).8C6192,843
(C2×C4○D4).9C6 = C3×M4(2).8C22φ: C6/C3 → C2 ⊆ Out C2×C4○D4484(C2xC4oD4).9C6192,846
(C2×C4○D4).10C6 = C3×C23.24D4φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4).10C6192,849
(C2×C4○D4).11C6 = C3×C23.36D4φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4).11C6192,850
(C2×C4○D4).12C6 = C6×C4≀C2φ: C6/C3 → C2 ⊆ Out C2×C4○D448(C2xC4oD4).12C6192,853
(C2×C4○D4).13C6 = C3×C42⋊C22φ: C6/C3 → C2 ⊆ Out C2×C4○D4484(C2xC4oD4).13C6192,854
(C2×C4○D4).14C6 = C3×D4.7D4φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4).14C6192,885
(C2×C4○D4).15C6 = C3×C23.33C23φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4).15C6192,1409
(C2×C4○D4).16C6 = C3×C23.38C23φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4).16C6192,1425
(C2×C4○D4).17C6 = C3×Q8○M4(2)φ: C6/C3 → C2 ⊆ Out C2×C4○D4484(C2xC4oD4).17C6192,1457
(C2×C4○D4).18C6 = C6×C8.C22φ: C6/C3 → C2 ⊆ Out C2×C4○D496(C2xC4oD4).18C6192,1463
(C2×C4○D4).19C6 = C12×C4○D4φ: trivial image96(C2xC4oD4).19C6192,1406
(C2×C4○D4).20C6 = C6×C8○D4φ: trivial image96(C2xC4oD4).20C6192,1456

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