Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
850 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 850 conjugacy classes of subgroups — too many to draw. Only its 171 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. #13114953 | C2 | semidirect |
| 3. C2×#11718077 | C2 | semidirect |
| 4. C13×#1767 | C2 | semidirect |
| 37. C13×C4⋊C8 | D4 | semidirect |
| 76. #1767 | D13 | semidirect |
| 158. C4⋊C8 | D52 | semidirect |
| 199. C13 | #9706 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123231 | 2 |
| #13114953 | 2 |
| C2×#11718077 | 2 |
| C13×#1767 | 2 |
| #9706 | 13 |