Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
344 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 75 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. #11718498 | C2 | semidirect |
| 3. #11718494 | C2 | semidirect |
| 4. C13×#331 | C2 | semidirect |
| 5. #11718136 | C2 | semidirect |
| 6. #11718077 | C2 | semidirect |
| 7. #11718077 | C2 | semidirect |
| 18. C13×C4⋊C8 | C22 | semidirect |
| 19. C13×C4⋊C8 | C22 | semidirect |
| 23. C4⋊#1055 | C22 | semidirect |
| 24. C4⋊#1055 | C22 | semidirect |
| 93. #331 | D13 | semidirect |
| 126. C4⋊C8 | C2×D13 | semidirect |
| 127. C4⋊C8 | C2×D13 | semidirect |
| 163. C13 | #1545 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#127 | 2 |
| #11718498 | 2 |
| #11718494 | 2 |
| C13×#331 | 2 |
| #11718136 | 2 |
| #11718077 | 2 |
| #1545 | 13 |