Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
278 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 71 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. #11718891 | C2 | semidirect |
| 5. C2×#88076 | C2 | semidirect |
| 6. #11718656 | C2 | semidirect |
| 7. #11718124 | C2 | semidirect |
| 183. C13 | #2038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#536 | 2 |
| C2×#88077 | 2 |
| #11718893 | 2 |
| #11718891 | 2 |
| C2×#88076 | 2 |
| #11718656 | 2 |
| #11718124 | 2 |
| #2038 | 13 |