Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
594 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. #13115817 | C2 | semidirect |
| 5. #13113401 | C2 | semidirect |
| 6. #13112695 | C2 | semidirect |
| 7. C13×#1274 | C2 | semidirect |
| 19. #11718355 | C4 | semidirect |
| 20. #11718354 | C4 | semidirect |
| 50. #88123 | C2×C4 | semidirect |
| 51. #88123 | C2×C4 | semidirect |
| 59. C4×C8×C13 | C2×C4 | semidirect |
| 97. C42×C13 | SD16 | semidirect |
| 125. #1274 | D13 | semidirect |
| 250. C4×C8 | C4×D13 | semidirect |
| 307. C42 | #6095 | semidirect |
| 312. C13 | #9295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125779 | 2 |
| #13117561 | 2 |
| #13115817 | 2 |
| #13113503 | 2 |
| #13113401 | 2 |
| #13112695 | 2 |
| C13×#1274 | 2 |
| #9295 | 13 |