Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
526 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 90 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. #13129767 | C2 | semidirect |
| 3. #13129766 | C2 | semidirect |
| 21. C2×Q8×D13 | C8 | semidirect |
| 227. C13 | #11434 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130070 | 2 |
| #13129767 | 2 |
| #13129766 | 2 |
| #13117419 | 2 |
| #11434 | 13 |