Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
368 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 368 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. #13131198 | C2 | semidirect |
| 2. #13130390 | C2 | semidirect |
| 3. #13129796 | C2 | semidirect |
| 4. #13129794 | C2 | semidirect |
| 71. C13×Q16 | M16 | semidirect |
| 74. C13×D8 | M16 | semidirect |
| 215. Q16 | #6122 | semidirect |
| 218. D8 | #6122 | semidirect |
| 243. C13 | #11666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131198 | 2 |
| #13130390 | 2 |
| #13129796 | 2 |
| #13129794 | 2 |
| #135×Dic13 | 2 |
| #11666 | 13 |