Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
238 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #13113642 | C2 | semidirect |
| 4. #13112799 | C2 | semidirect |
| 6. #13112752 | C2 | semidirect |
| 7. C13×#1371 | C2 | semidirect |
| 43. #88040 | C8 | semidirect |
| 62. Dic52 | C2×C8 | semidirect |
| 67. C13×C16 | C2×C8 | semidirect |
| 72. #1371 | D13 | semidirect |
| 172. C16 | C8×D13 | semidirect |
| 173. C13 | #12043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88040 | 2 |
| #13113642 | 2 |
| #13113630 | 2 |
| #13112799 | 2 |
| #13112796 | 2 |
| #13112752 | 2 |
| C13×#1371 | 2 |
| #12043 | 13 |