Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
538 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 86 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. C2×#11719102 | C2 | semidirect |
| 2. C2×#11718278 | C2 | semidirect |
| 3. C2×#11718279 | C2 | semidirect |
| 4. #13130990 | C2 | semidirect |
| 5. #13129901 | C2 | semidirect |
| 6. #13129876 | C2 | semidirect |
| 20. C2×C13×SD32 | C4 | semidirect |
| 21. C2×#88068 | C4 | semidirect |
| 22. C2×#88066 | C4 | semidirect |
| 25. C2×D208 | C4 | semidirect |
| 39. C2×C13×Q16 | C2×C4 | semidirect |
| 52. C2×D104 | C2×C4 | semidirect |
| 67. C2×C13×C16 | C2×C4 | semidirect |
| 70. C2×#6090 | C2×C4 | semidirect |
| 186. C2×SD32 | #261 | semidirect |
| 233. C2×Q16 | C2×#261 | semidirect |
| 261. C2×C16 | C2×#261 | semidirect |
| 333. C13 | #13037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719102 | 2 |
| C2×#11718278 | 2 |
| C2×#11718279 | 2 |
| #13130990 | 2 |
| #13129901 | 2 |
| #13129876 | 2 |
| C2×#11718575 | 2 |
| #13037 | 13 |