Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
642 conjugacy classes of subgroups; only the 199 normal subgroups are shown.
This group has 642 conjugacy classes of subgroups — too many to draw. Only its 199 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. #13115796 | C2 | semidirect |
| 4. C2×C8×#1055 | C2 | semidirect |
| 5. C13×#1844 | C2 | semidirect |
| 15. #11718354 | C4 | semidirect |
| 74. C2×#1055 | SD16 | semidirect |
| 79. #1844 | D13 | semidirect |
| 107. C8×C13 | #102 | semidirect |
| 200. C13 | #9820 | semidirect |
| 228. C8 | #88049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718354 | 2 |
| #13115796 | 2 |
| #13115641 | 2 |
| C2×C8×#1055 | 2 |
| C13×#1844 | 2 |
| #9820 | 13 |