Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
376 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 121. Q8×C13 | #108 | semidirect |
| 279. C13 | #8907 | semidirect |
| 285. Q8 | #88103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#6118 | 2 |
| #13130951 | 2 |
| #13130395 | 2 |
| #13130165 | 2 |
| #13129728 | 2 |
| #13129668 | 2 |
| D13×Q8⋊C8 | 2 |
| #8907 | 13 |