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Extensions 1→N→G→Q→1 with N=C22×Q8 and Q=C6

Direct product G=N×Q with N=C22×Q8 and Q=C6
dρLabelID
Q8×C22×C6192Q8xC2^2xC6192,1532

Semidirect products G=N:Q with N=C22×Q8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22×Q8)⋊1C6 = C24.A4φ: C6/C1 → C6 ⊆ Out C22×Q8246(C2^2xQ8):1C6192,195
(C22×Q8)⋊2C6 = D4×SL2(𝔽3)φ: C6/C1 → C6 ⊆ Out C22×Q832(C2^2xQ8):2C6192,1004
(C22×Q8)⋊3C6 = A4×SD16φ: C6/C1 → C6 ⊆ Out C22×Q8246(C2^2xQ8):3C6192,1015
(C22×Q8)⋊4C6 = C2×D4.A4φ: C6/C1 → C6 ⊆ Out C22×Q832(C2^2xQ8):4C6192,1503
(C22×Q8)⋊5C6 = C23×SL2(𝔽3)φ: C6/C2 → C3 ⊆ Out C22×Q864(C2^2xQ8):5C6192,1498
(C22×Q8)⋊6C6 = C2×Q8×A4φ: C6/C2 → C3 ⊆ Out C22×Q848(C2^2xQ8):6C6192,1499
(C22×Q8)⋊7C6 = A4×C4○D4φ: C6/C2 → C3 ⊆ Out C22×Q8246(C2^2xQ8):7C6192,1501
(C22×Q8)⋊8C6 = C2×Q8⋊A4φ: C6/C2 → C3 ⊆ Out C22×Q848(C2^2xQ8):8C6192,1506
(C22×Q8)⋊9C6 = C3×C23⋊Q8φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8):9C6192,826
(C22×Q8)⋊10C6 = C3×Q8⋊D4φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8):10C6192,881
(C22×Q8)⋊11C6 = C6×C22⋊Q8φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8):11C6192,1412
(C22×Q8)⋊12C6 = C6×C4.4D4φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8):12C6192,1415
(C22×Q8)⋊13C6 = C3×C23.38C23φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8):13C6192,1425
(C22×Q8)⋊14C6 = C3×Q8⋊5D4φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8):14C6192,1437
(C22×Q8)⋊15C6 = C3×D4×Q8φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8):15C6192,1438
(C22×Q8)⋊16C6 = C2×C6×SD16φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8):16C6192,1459
(C22×Q8)⋊17C6 = C6×C8.C22φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8):17C6192,1463
(C22×Q8)⋊18C6 = C6×2- (1+4)φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8):18C6192,1535
(C22×Q8)⋊19C6 = C2×C6×C4○D4φ: trivial image96(C2^2xQ8):19C6192,1533

Non-split extensions G=N.Q with N=C22×Q8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22×Q8).1C6 = (C22×C4).A4φ: C6/C1 → C6 ⊆ Out C22×Q8246-(C2^2xQ8).1C6192,196
(C22×Q8).2C6 = (C2×Q8)⋊C12φ: C6/C1 → C6 ⊆ Out C22×Q832(C2^2xQ8).2C6192,998
(C22×Q8).3C6 = SL2(𝔽3)⋊5D4φ: C6/C1 → C6 ⊆ Out C22×Q832(C2^2xQ8).3C6192,1003
(C22×Q8).4C6 = A4×Q16φ: C6/C1 → C6 ⊆ Out C22×Q8486-(C2^2xQ8).4C6192,1016
(C22×Q8).5C6 = C2×C4×SL2(𝔽3)φ: C6/C2 → C3 ⊆ Out C22×Q864(C2^2xQ8).5C6192,996
(C22×Q8).6C6 = C22×C4.A4φ: C6/C2 → C3 ⊆ Out C22×Q864(C2^2xQ8).6C6192,1500
(C22×Q8).7C6 = C4○D4⋊A4φ: C6/C2 → C3 ⊆ Out C22×Q8246(C2^2xQ8).7C6192,1507
(C22×Q8).8C6 = C3×C23.67C23φ: C6/C3 → C2 ⊆ Out C22×Q8192(C2^2xQ8).8C6192,824
(C22×Q8).9C6 = C3×C23.78C23φ: C6/C3 → C2 ⊆ Out C22×Q8192(C2^2xQ8).9C6192,828
(C22×Q8).10C6 = C6×C4.10D4φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8).10C6192,845
(C22×Q8).11C6 = C6×Q8⋊C4φ: C6/C3 → C2 ⊆ Out C22×Q8192(C2^2xQ8).11C6192,848
(C22×Q8).12C6 = C3×C23.38D4φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8).12C6192,852
(C22×Q8).13C6 = C3×C22⋊Q16φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8).13C6192,884
(C22×Q8).14C6 = C3×C23.32C23φ: C6/C3 → C2 ⊆ Out C22×Q896(C2^2xQ8).14C6192,1408
(C22×Q8).15C6 = C6×C4⋊Q8φ: C6/C3 → C2 ⊆ Out C22×Q8192(C2^2xQ8).15C6192,1420
(C22×Q8).16C6 = C2×C6×Q16φ: C6/C3 → C2 ⊆ Out C22×Q8192(C2^2xQ8).16C6192,1460
(C22×Q8).17C6 = Q8×C2×C12φ: trivial image192(C2^2xQ8).17C6192,1405

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