Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
304 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 4. #13112894 | C2 | semidirect |
| 5. Q8⋊#6090 | C2 | semidirect |
| 6. #13112800 | C2 | semidirect |
| 7. Q8×C13×Q16 | C2 | semidirect |
| 62. C13×Q16 | SD16 | semidirect |
| 85. Q8×Q16 | D13 | semidirect |
| 98. Q8×C13 | SD32 | semidirect |
| 188. Q16 | #6106 | semidirect |
| 211. C13 | #12354 | semidirect |
| 218. Q8 | #88068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117061 | 2 |
| #13116876 | 2 |
| #13114196 | 2 |
| #13112894 | 2 |
| Q8⋊#6090 | 2 |
| #13112800 | 2 |
| Q8×C13×Q16 | 2 |
| #12354 | 13 |