Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 99 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×#11718570 | C2 | semidirect |
| 3. C2×#11718529 | C2 | semidirect |
| 4. C2×#11718080 | C2 | semidirect |
| 5. #13116555 | C2 | semidirect |
| 6. C2×#11718106 | C2 | semidirect |
| 7. C13×#1386 | C2 | semidirect |
| 46. C2×Dic52 | D4 | semidirect |
| 67. C13×M32 | D4 | semidirect |
| 72. C13×#106 | D4 | semidirect |
| 149. #1386 | D13 | semidirect |
| 276. M32 | D52 | semidirect |
| 282. #106 | D52 | semidirect |
| 353. C13 | #13317 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718570 | 2 |
| #13124446 | 2 |
| C2×#11718529 | 2 |
| C2×#11718080 | 2 |
| #13116555 | 2 |
| C2×#11718106 | 2 |
| C13×#1386 | 2 |
| #13317 | 13 |