Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
262 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 79 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. C13×#423 | C2 | semidirect |
| 4. #11718785 | C2 | semidirect |
| 6. #11718148 | C2 | semidirect |
| 7. #11718115 | C2 | semidirect |
| 21. #88045 | C4 | semidirect |
| 22. #88045 | C4 | semidirect |
| 81. #423 | D13 | semidirect |
| 150. C13 | #1861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719450 | 2 |
| C13×#423 | 2 |
| #11718800 | 2 |
| #11718785 | 2 |
| C2×#88045 | 2 |
| #11718148 | 2 |
| #11718115 | 2 |
| #1861 | 13 |