Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
642 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 642 conjugacy classes of subgroups — too many to draw. Only its 211 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 |
|---|---|---|
| 2. #13115797 | C2 | semidirect |
| 4. #13114993 | C2 | semidirect |
| 5. C2×C82×C13 | C2 | semidirect |
| 15. #11718354 | C4 | semidirect |
| 66. C2×C8×C13 | SD16 | semidirect |
| 80. C2×C82 | D13 | semidirect |
| 108. C8×C13 | #102 | semidirect |
| 189. C2×C8 | #6095 | semidirect |
| 200. C13 | #9820 | semidirect |
| 228. C8 | #88061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718354 | 2 |
| #13115797 | 2 |
| #13115642 | 2 |
| #13114993 | 2 |
| C2×C82×C13 | 2 |
| #9820 | 13 |