Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
912 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 113 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13125779 | C2 | semidirect |
| 3. #13115813 | C2 | semidirect |
| 4. #13113503 | C2 | semidirect |
| 5. C13×#1276 | C2 | semidirect |
| 38. #88123 | D4 | semidirect |
| 40. C13×C4⋊C8 | D4 | semidirect |
| 66. C42×C13 | SD16 | semidirect |
| 82. #1276 | D13 | semidirect |
| 158. C4⋊C8 | D52 | semidirect |
| 194. C42 | #6095 | semidirect |
| 198. C13 | #10290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125779 | 2 |
| #13123231 | 2 |
| #13115813 | 2 |
| #13113503 | 2 |
| C13×#1276 | 2 |
| #10290 | 13 |