12 groups of order 16842.
| SmallGroups | group |
|---|---|
| (16842, 1) | C2×C3×C7×C401 #30682833 |
| (16842, 2) | C2×ΓL(1,𝔽8)×C401 #30682834 |
| (16842, 3) | C3×C7×D401 #30682835 |
| (16842, 4) | C3×D7×C401 #30682836 |
| (16842, 5) | C3×D2807 #30682837 |
| (16842, 6) | D3×C7×C401 #30682838 |
| (16842, 7) | C7×D1203 #30682839 |
| (16842, 8) | D21×C401 #30682840 |
| (16842, 9) | D8421 #30682841 |
| (16842, 10) | ΓL(1,𝔽8)×D401 #30682842 |
| (16842, 11) | AGL(1,𝔽7)×C401 #30682843 |
| (16842, 12) | ΓL(1,𝔽8)⋊D401 #30682844 |