Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #13116591 | C2 | semidirect |
| 5. #13114991 | C2 | semidirect |
| 6. #13112941 | C2 | semidirect |
| 7. C13×#1386 | C2 | semidirect |
| 19. #11718534 | C4 | semidirect |
| 20. #11718533 | C4 | semidirect |
| 100. Dic52 | C4⋊C4 | semidirect |
| 102. D104 | C4⋊C4 | semidirect |
| 113. #1386 | D13 | semidirect |
| 177. Dic13 | #360 | semidirect |
| 264. C13 | #12816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123607 | 2 |
| #13116591 | 2 |
| C2×#11718110 | 2 |
| C2×#11718080 | 2 |
| #13114991 | 2 |
| #13112941 | 2 |
| C13×#1386 | 2 |
| #12816 | 13 |