Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13124556 | C2 | semidirect |
| 3. C2×#11718155 | C2 | semidirect |
| 4. #13116571 | C2 | semidirect |
| 5. #13116464 | C2 | semidirect |
| 6. #13112952 | C2 | semidirect |
| 7. C13×#3058 | C2 | semidirect |
| 59. C2×Dic52 | D4 | semidirect |
| 64. C2×D104 | D4 | semidirect |
| 74. #88059 | D4 | semidirect |
| 78. #88052 | D4 | semidirect |
| 145. #3058 | D13 | semidirect |
| 353. C13 | #13310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718808 | 2 |
| #13124556 | 2 |
| C2×#11718155 | 2 |
| #13116571 | 2 |
| #13116464 | 2 |
| #13112952 | 2 |
| C13×#3058 | 2 |
| #13310 | 13 |