Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 532 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. #13127970 | C2 | semidirect |
| 2. #13124556 | C2 | semidirect |
| 3. C2×#11718080 | C2 | semidirect |
| 4. #13116564 | C2 | semidirect |
| 5. #13116464 | C2 | semidirect |
| 6. #13112934 | C2 | semidirect |
| 7. C13×#3060 | C2 | semidirect |
| 63. C2×Dic52 | D4 | semidirect |
| 68. C2×D104 | D4 | semidirect |
| 81. #88059 | D4 | semidirect |
| 87. C2×#6090 | D4 | semidirect |
| 157. #3060 | D13 | semidirect |
| 380. C13 | #13318 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| #13124556 | 2 |
| C2×#11718080 | 2 |
| #13116564 | 2 |
| #13116464 | 2 |
| #13112934 | 2 |
| C13×#3060 | 2 |
| #13318 | 13 |