Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 101 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×#11718808 | C2 | semidirect |
| 2. #13124506 | C2 | semidirect |
| 3. C2×#11718089 | C2 | semidirect |
| 4. C2×#11718154 | C2 | semidirect |
| 5. C2×#11718153 | C2 | semidirect |
| 6. #13112946 | C2 | semidirect |
| 7. C2×C13×#472 | C2 | semidirect |
| 43. C2×C13×D8 | D4 | semidirect |
| 67. C13×#108 | D4 | semidirect |
| 76. #88052 | D4 | semidirect |
| 144. C2×#472 | D13 | semidirect |
| 260. C2×D8 | C22⋊D13 | semidirect |
| 285. #108 | C22⋊D13 | semidirect |
| 360. C13 | #13307 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718808 | 2 |
| #13124506 | 2 |
| C2×#11718089 | 2 |
| C2×#11718154 | 2 |
| C2×#11718153 | 2 |
| #13112946 | 2 |
| C2×C13×#472 | 2 |
| #13307 | 13 |