Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
662 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 662 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 |
|---|---|---|
| 1. #14574103 | C2 | semidirect |
| 2. #14573722 | C2 | semidirect |
| 3. #14569490 | C2 | semidirect |
| 4. #14562258 | C2 | semidirect |
| 5. #14562077 | C2 | semidirect |
| 6. #14561499 | C2 | semidirect |
| 7. C19×#1514 | C2 | semidirect |
| 39. C19×C4⋊Q8 | D4 | semidirect |
| 40. C19×#127 | D4 | semidirect |
| 82. #10597260 | D4 | semidirect |
| 83. C4×C19⋊C8 | D4 | semidirect |
| 198. #1514 | D19 | semidirect |
| 274. C4⋊Q8 | D76 | semidirect |
| 275. #127 | D76 | semidirect |
| 311. C19 | #10018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574103 | 2 |
| #14573722 | 2 |
| #14569490 | 2 |
| #14562258 | 2 |
| #14562077 | 2 |
| #14561499 | 2 |
| C19×#1514 | 2 |
| #10018 | 19 |