Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
930 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 930 conjugacy classes of subgroups — too many to draw. Only its 219 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. C22×#88067 | C2 | semidirect |
| 2. C22×#88066 | C2 | semidirect |
| 3. C2×#11718357 | C2 | semidirect |
| 4. #13117100 | C2 | direct (N × H) |
| 5. C2×#11718053 | C2 | semidirect |
| 6. C2×C13×#493 | C2 | semidirect |
| 15. C13×#493 | C22 | semidirect |
| 18. C2×#88067 | C22 | semidirect |
| 20. C2×#88066 | C22 | semidirect |
| 23. #11718357 | C22 | semidirect |
| 24. #11718053 | C22 | semidirect |
| 55. C2×#6090 | D4 | semidirect |
| 94. #6090 | C2×D4 | semidirect |
| 98. C2×#493 | D13 | semidirect |
| 144. #493 | C2×D13 | semidirect |
| 194. C2×C13 | #2250 | semidirect |
| 235. C13 | C2×#2250 | semidirect |
| 280. C2 | #13117100 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88067 | 2 |
| C22×#88066 | 2 |
| C2×#11718357 | 2 |
| #13117100 | 2 |
| C2×#11718053 | 2 |
| C2×C13×#493 | 2 |
| C2×#2250 | 13 |