Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
674 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 674 conjugacy classes of subgroups — too many to draw. Only its 116 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. #13131683 | C2 | semidirect |
| 2. #13130072 | C2 | semidirect |
| 3. C2×#11718287 | C2 | semidirect |
| 4. #13129679 | C2 | semidirect |
| 40. #88191 | C8 | semidirect |
| 58. C22⋊#1057 | D4 | semidirect |
| 73. C23×D13 | C2×C8 | semidirect |
| 107. C22⋊Dic13 | C2×C8 | semidirect |
| 337. C13 | #9107 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131683 | 2 |
| #13130072 | 2 |
| C2×#11718287 | 2 |
| #13129679 | 2 |
| #13117499 | 2 |
| #9107 | 13 |