Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 59 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. #13127972 | C2 | semidirect |
| 2. #13117149 | C2 | semidirect |
| 3. #13113022 | C2 | semidirect |
| 4. #13112976 | C2 | semidirect |
| 5. C13×#2218 | C2 | semidirect |
| 7. C2×C13×D16 | C22 | semidirect |
| 14. C13×#367 | C22 | semidirect |
| 18. #11718091 | C22 | semidirect |
| 37. Dic104 | D4 | semidirect |
| 41. D208 | D4 | semidirect |
| 73. #2218 | D13 | semidirect |
| 104. C2×D16 | C2×D13 | semidirect |
| 110. #367 | C2×D13 | semidirect |
| 181. C13 | #13667 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127972 | 2 |
| #13117149 | 2 |
| #13113022 | 2 |
| #13112976 | 2 |
| C13×#2218 | 2 |
| #13667 | 13 |