Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
128 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 128 conjugacy classes of subgroups — too many to draw. Only its 48 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 |
|---|---|---|
| 11. #88098 | C4 | semidirect |
| 12. C13×#108 | C4 | semidirect |
| 14. #88059 | C4 | semidirect |
| 65. #108 | #261 | semidirect |
| 87. C13 | #1389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719092 | 2 |
| C2×#88098 | 2 |
| D13×#108 | 2 |
| #1389 | 13 |