Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
734 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 734 conjugacy classes of subgroups — too many to draw. Only its 169 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 |
|---|---|---|
| 1. C2×#11718341 | C2 | semidirect |
| 3. #13115797 | C2 | semidirect |
| 5. C13×#1273 | C2 | semidirect |
| 65. C2×C8×C13 | SD16 | semidirect |
| 66. C2×C8×C13 | SD16 | semidirect |
| 81. #1273 | D13 | semidirect |
| 190. C2×C8 | #6095 | semidirect |
| 191. C2×C8 | #6095 | semidirect |
| 201. C13 | #10315 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718341 | 2 |
| C2×#11718354 | 2 |
| #13115797 | 2 |
| #13115642 | 2 |
| C13×#1273 | 2 |
| #10315 | 13 |