Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
558 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 105 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×#11718110 | C2 | semidirect |
| 4. #13115707 | C2 | semidirect |
| 5. C13×#1377 | C2 | semidirect |
| 34. C2×Dic52 | D4 | semidirect |
| 50. C13×M32 | D4 | semidirect |
| 107. #1377 | D13 | semidirect |
| 200. M32 | D52 | semidirect |
| 255. C13 | #13342 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718570 | 2 |
| #13125282 | 2 |
| C2×#11718110 | 2 |
| #13115707 | 2 |
| C13×#1377 | 2 |
| #13342 | 13 |