Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
648 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 1. C2×#11926939 | C2 | semidirect |
| 2. C2×#11926903 | C2 | semidirect |
| 3. #14564607 | C2 | semidirect |
| 4. C2×#11926284 | C2 | semidirect |
| 5. C2×#11926284 | C2 | semidirect |
| 6. #14561516 | C2 | semidirect |
| 65. #10597315 | D4 | semidirect |
| 75. #10597260 | D4 | semidirect |
| 76. #10597260 | D4 | semidirect |
| 287. C19 | #10081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926939 | 2 |
| C2×#11926903 | 2 |
| #14564607 | 2 |
| C2×#11926284 | 2 |
| #14561516 | 2 |
| C19×#2819 | 2 |
| #10081 | 19 |