Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
394 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 2. #13131184 | C2 | semidirect |
| 3. C2×#11718220 | C2 | semidirect |
| 5. #13129908 | C2 | semidirect |
| 6. #13129904 | C2 | semidirect |
| 25. C13×#350 | C4 | semidirect |
| 26. #11718153 | C4 | semidirect |
| 27. #11718107 | C4 | semidirect |
| 28. #11718100 | C4 | semidirect |
| 62. C13×M32 | C2×C4 | semidirect |
| 63. C2×C13×C16 | C2×C4 | semidirect |
| 64. #88052 | C2×C4 | semidirect |
| 65. C2×#6090 | C2×C4 | semidirect |
| 183. #350 | #261 | semidirect |
| 226. M32 | C2×#261 | semidirect |
| 229. C2×C16 | C2×#261 | semidirect |
| 299. C13 | #12934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131490 | 2 |
| #13131184 | 2 |
| C2×#11718220 | 2 |
| #13130722 | 2 |
| #13129908 | 2 |
| #13129904 | 2 |
| #13116462 | 2 |
| #12934 | 13 |