Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
734 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 734 conjugacy classes of subgroups — too many to draw. Only its 161 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. #13115798 | C2 | semidirect |
| 4. #13112663 | C2 | semidirect |
| 5. C2×C13×#498 | C2 | semidirect |
| 63. C2×C8×C13 | SD16 | semidirect |
| 76. C2×#1055 | SD16 | semidirect |
| 77. C2×#498 | D13 | semidirect |
| 191. C2×C8 | #6106 | 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×#11718746 | 2 |
| #13115798 | 2 |
| #13115642 | 2 |
| #13112663 | 2 |
| C2×C13×#498 | 2 |
| #10315 | 13 |