Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
336 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 3. C2×#88102 | C2 | semidirect |
| 4. #11718265 | C2 | semidirect |
| 8. C22×C8×C13 | C4 | semidirect |
| 9. C22×#1055 | C4 | semidirect |
| 11. C2×C8×D13 | C4 | semidirect |
| 12. C2×C8×D13 | C4 | semidirect |
| 65. C8×C13 | C22⋊C4 | semidirect |
| 67. #1055 | C22⋊C4 | semidirect |
| 74. C22×C13 | #107 | semidirect |
| 80. C2×D13 | #107 | semidirect |
| 98. C22×C8 | #261 | semidirect |
| 133. C13 | #1808 | semidirect |
| 160. C8 | C22⋊#261 | semidirect |
| 172. C22 | #88102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D13 | 2 |
| #11719136 | 2 |
| C2×#88102 | 2 |
| #11718265 | 2 |
| #1808 | 13 |