Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
262 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 23. #11718085 | C4 | semidirect |
| 186. C13 | #13173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718085 | 2 |
| #13116435 | 2 |
| #13115627 | 2 |
| #13115624 | 2 |
| #13112948 | 2 |
| C13×#1388 | 2 |
| #13173 | 13 |