Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
226 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. #13112902 | C2 | semidirect |
| 5. #13112901 | C2 | semidirect |
| 6. #13112901 | C2 | semidirect |
| 7. C13×#1368 | C2 | semidirect |
| 65. C13×C16 | M16 | semidirect |
| 67. #6090 | M16 | semidirect |
| 74. #1368 | D13 | semidirect |
| 168. C16 | #6094 | semidirect |
| 169. C13 | #12019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#346 | 2 |
| #13113596 | 2 |
| #13113590 | 2 |
| #13112902 | 2 |
| #13112901 | 2 |
| C13×#1368 | 2 |
| #12019 | 13 |