Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
226 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 35. #88069 | C8 | direct (N × H) |
| 90. C8×C13 | Q32 | semidirect |
| 166. C13 | C8×Q32 | semidirect |
| 183. C8 | #88069 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88069 | 2 |
| C8×Dic52 | 2 |
| #13112907 | 2 |
| #13112800 | 2 |
| #13112799 | 2 |
| C8×#6090 | 2 |
| C8×C13×Q16 | 2 |
| C8×Q32 | 13 |