Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
194 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 63. #6090 | Q16 | semidirect |
| 157. C13 | #12462 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117116 | 2 |
| #13116745 | 2 |
| #13114230 | 2 |
| #13112907 | 2 |
| #13112894 | 2 |
| #13112892 | 2 |
| C13×#1676 | 2 |
| #12462 | 13 |