Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 4. #13112662 | C2 | semidirect |
| 5. #13112662 | C2 | semidirect |
| 6. #13112659 | C2 | semidirect |
| 7. C13×#2806 | C2 | semidirect |
| 74. C2×Q8×C13 | SD16 | semidirect |
| 112. C13×C4⋊C4 | SD16 | semidirect |
| 126. #2806 | D13 | semidirect |
| 289. C2×Q8 | #6106 | semidirect |
| 338. C4⋊C4 | #6106 | semidirect |
| 341. C13 | #7748 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116070 | 2 |
| #13115923 | 2 |
| #13112662 | 2 |
| #13112659 | 2 |
| C13×#2806 | 2 |
| #7748 | 13 |