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Extensions 1→N→G→Q→1 with N=C6×Q8 and Q=C4

Direct product G=N×Q with N=C6×Q8 and Q=C4
dρLabelID
Q8×C2×C12192Q8xC2xC12192,1405

Semidirect products G=N:Q with N=C6×Q8 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6×Q8)⋊1C4 = (C6×Q8)⋊C4φ: C4/C1 → C4 ⊆ Out C6×Q848(C6xQ8):1C4192,97
(C6×Q8)⋊2C4 = C42⋊4Dic3φ: C4/C1 → C4 ⊆ Out C6×Q8484(C6xQ8):2C4192,100
(C6×Q8)⋊3C4 = C3×C23.31D4φ: C4/C1 → C4 ⊆ Out C6×Q848(C6xQ8):3C4192,134
(C6×Q8)⋊4C4 = C3×C42⋊3C4φ: C4/C1 → C4 ⊆ Out C6×Q8484(C6xQ8):4C4192,160
(C6×Q8)⋊5C4 = C2×Q8⋊2Dic3φ: C4/C2 → C2 ⊆ Out C6×Q8192(C6xQ8):5C4192,783
(C6×Q8)⋊6C4 = (C6×Q8)⋊6C4φ: C4/C2 → C2 ⊆ Out C6×Q896(C6xQ8):6C4192,784
(C6×Q8)⋊7C4 = (C6×Q8)⋊7C4φ: C4/C2 → C2 ⊆ Out C6×Q8192(C6xQ8):7C4192,788
(C6×Q8)⋊8C4 = C2×Q8⋊3Dic3φ: C4/C2 → C2 ⊆ Out C6×Q848(C6xQ8):8C4192,794
(C6×Q8)⋊9C4 = (C6×D4)⋊9C4φ: C4/C2 → C2 ⊆ Out C6×Q8484(C6xQ8):9C4192,795
(C6×Q8)⋊10C4 = (C6×D4)⋊10C4φ: C4/C2 → C2 ⊆ Out C6×Q8484(C6xQ8):10C4192,799
(C6×Q8)⋊11C4 = C2×Q8×Dic3φ: C4/C2 → C2 ⊆ Out C6×Q8192(C6xQ8):11C4192,1370
(C6×Q8)⋊12C4 = C6.422- 1+4φ: C4/C2 → C2 ⊆ Out C6×Q896(C6xQ8):12C4192,1371
(C6×Q8)⋊13C4 = C3×C23.67C23φ: C4/C2 → C2 ⊆ Out C6×Q8192(C6xQ8):13C4192,824
(C6×Q8)⋊14C4 = C3×C23.C23φ: C4/C2 → C2 ⊆ Out C6×Q8484(C6xQ8):14C4192,843
(C6×Q8)⋊15C4 = C6×Q8⋊C4φ: C4/C2 → C2 ⊆ Out C6×Q8192(C6xQ8):15C4192,848
(C6×Q8)⋊16C4 = C3×C23.38D4φ: C4/C2 → C2 ⊆ Out C6×Q896(C6xQ8):16C4192,852
(C6×Q8)⋊17C4 = C6×C4≀C2φ: C4/C2 → C2 ⊆ Out C6×Q848(C6xQ8):17C4192,853
(C6×Q8)⋊18C4 = C3×C42⋊C22φ: C4/C2 → C2 ⊆ Out C6×Q8484(C6xQ8):18C4192,854
(C6×Q8)⋊19C4 = C3×C23.32C23φ: C4/C2 → C2 ⊆ Out C6×Q896(C6xQ8):19C4192,1408

Non-split extensions G=N.Q with N=C6×Q8 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6×Q8).1C4 = C42.7D6φ: C4/C1 → C4 ⊆ Out C6×Q896(C6xQ8).1C4192,99
(C6×Q8).2C4 = C12.5Q16φ: C4/C1 → C4 ⊆ Out C6×Q8192(C6xQ8).2C4192,105
(C6×Q8).3C4 = C42.3Dic3φ: C4/C1 → C4 ⊆ Out C6×Q8484(C6xQ8).3C4192,107
(C6×Q8).4C4 = C3×C42.C22φ: C4/C1 → C4 ⊆ Out C6×Q896(C6xQ8).4C4192,135
(C6×Q8).5C4 = C3×C4.6Q16φ: C4/C1 → C4 ⊆ Out C6×Q8192(C6xQ8).5C4192,139
(C6×Q8).6C4 = C3×C42.3C4φ: C4/C1 → C4 ⊆ Out C6×Q8484(C6xQ8).6C4192,162
(C6×Q8).7C4 = C12.26Q16φ: C4/C2 → C2 ⊆ Out C6×Q8192(C6xQ8).7C4192,94
(C6×Q8).8C4 = Q8×C3⋊C8φ: C4/C2 → C2 ⊆ Out C6×Q8192(C6xQ8).8C4192,582
(C6×Q8).9C4 = C42.210D6φ: C4/C2 → C2 ⊆ Out C6×Q8192(C6xQ8).9C4192,583
(C6×Q8).10C4 = C2×C12.10D4φ: C4/C2 → C2 ⊆ Out C6×Q896(C6xQ8).10C4192,785
(C6×Q8).11C4 = (C6×D4).11C4φ: C4/C2 → C2 ⊆ Out C6×Q896(C6xQ8).11C4192,793
(C6×Q8).12C4 = C2×D4.Dic3φ: C4/C2 → C2 ⊆ Out C6×Q896(C6xQ8).12C4192,1377
(C6×Q8).13C4 = C12.76C24φ: C4/C2 → C2 ⊆ Out C6×Q8484(C6xQ8).13C4192,1378
(C6×Q8).14C4 = C3×Q8⋊C8φ: C4/C2 → C2 ⊆ Out C6×Q8192(C6xQ8).14C4192,132
(C6×Q8).15C4 = C3×(C22×C8)⋊C2φ: C4/C2 → C2 ⊆ Out C6×Q896(C6xQ8).15C4192,841
(C6×Q8).16C4 = C6×C4.10D4φ: C4/C2 → C2 ⊆ Out C6×Q896(C6xQ8).16C4192,845
(C6×Q8).17C4 = C3×C8⋊4Q8φ: C4/C2 → C2 ⊆ Out C6×Q8192(C6xQ8).17C4192,879
(C6×Q8).18C4 = C3×Q8○M4(2)φ: C4/C2 → C2 ⊆ Out C6×Q8484(C6xQ8).18C4192,1457
(C6×Q8).19C4 = Q8×C24φ: trivial image192(C6xQ8).19C4192,878
(C6×Q8).20C4 = C6×C8○D4φ: trivial image96(C6xQ8).20C4192,1456

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