Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 118 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×#11718222 | C2 | semidirect |
| 3. #13129894 | C2 | semidirect |
| 8. C22×C13×C16 | C4 | semidirect |
| 9. C22×#6090 | C4 | semidirect |
| 11. C2×C16×D13 | C4 | semidirect |
| 12. C2×C16×D13 | C4 | semidirect |
| 69. C13×C16 | C22⋊C4 | semidirect |
| 71. #6090 | C22⋊C4 | semidirect |
| 110. C22×C16 | #261 | semidirect |
| 117. C22×C13 | #367 | semidirect |
| 122. C2×D13 | #367 | semidirect |
| 191. C16 | C22⋊#261 | semidirect |
| 192. C13 | #12835 | semidirect |
| 229. C22 | #11718222 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718222 | 2 |
| #13130713 | 2 |
| #13129894 | 2 |
| C22×C16×D13 | 2 |
| #12835 | 13 |