Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
484 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 82 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. #135×#261 | C2 | semidirect |
| 2. #13131157 | C2 | semidirect |
| 3. #13131150 | C2 | semidirect |
| 4. #13130989 | C2 | semidirect |
| 5. #13129917 | C2 | semidirect |
| 6. #13129879 | C2 | semidirect |
| 21. C13×#509 | C4 | semidirect |
| 22. #11718856 | C4 | semidirect |
| 23. #11718808 | C4 | semidirect |
| 28. #11718570 | C4 | semidirect |
| 45. C2×C13×D8 | C2×C4 | semidirect |
| 58. C2×Dic52 | C2×C4 | semidirect |
| 77. C13×M32 | C2×C4 | semidirect |
| 82. #88052 | C2×C4 | semidirect |
| 208. #509 | #261 | semidirect |
| 261. C2×D8 | C2×#261 | semidirect |
| 284. M32 | C2×#261 | semidirect |
| 366. C13 | #13027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #135×#261 | 2 |
| #13131157 | 2 |
| #13131150 | 2 |
| #13130989 | 2 |
| #13129917 | 2 |
| #13129879 | 2 |
| #13127968 | 2 |
| #13027 | 13 |