Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
948 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 948 conjugacy classes of subgroups — too many to draw. Only its 112 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×#11718279 | C2 | semidirect |
| 2. C2×#11718275 | C2 | semidirect |
| 3. #13131064 | C2 | semidirect |
| 4. #13130712 | C2 | semidirect |
| 7. C2×C13×#135 | C4 | semidirect |
| 12. C2×Q16×D13 | C4 | semidirect |
| 16. C2×D8×D13 | C4 | semidirect |
| 17. C2×#88158 | C4 | semidirect |
| 20. C2×#88101 | C22 | semidirect |
| 21. C2×#88098 | C22 | semidirect |
| 128. C13×Q16 | C22⋊C4 | semidirect |
| 131. C13×D8 | C22⋊C4 | semidirect |
| 144. Dic52 | C22⋊C4 | semidirect |
| 146. D104 | C22⋊C4 | semidirect |
| 221. C2×#135 | #261 | semidirect |
| 250. C2×D13 | #360 | semidirect |
| 368. Q16 | C22⋊#261 | semidirect |
| 377. D8 | C22⋊#261 | semidirect |
| 395. C13 | #12735 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718279 | 2 |
| C2×#11718275 | 2 |
| #13131064 | 2 |
| #13130712 | 2 |
| C2×D13×#135 | 2 |
| #12735 | 13 |