Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
376 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 85 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×M16×D19 | C2 | semidirect |
| 3. C2×#10597294 | C2 | semidirect |
| 4. C4×(C2×D19)⋊C4 | C2 | semidirect |
| 5. #11926305 | C2 | semidirect |
| 6. #11926304 | C2 | semidirect |
| 7. C2×C19×#104 | C2 | semidirect |
| 12. #10597392 | C4 | semidirect |
| 13. #10597392 | C4 | semidirect |
| 14. #10597384 | C4 | semidirect |
| 15. #10597384 | C4 | semidirect |
| 55. M16×C19 | D4 | semidirect |
| 73. #64520 | D4 | semidirect |
| 140. C2×D19 | #104 | semidirect |
| 155. C2×#104 | D19 | semidirect |
| 190. C19 | #1871 | semidirect |
| 218. M16 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D19 | 2 |
| #11927051 | 2 |
| C2×#10597294 | 2 |
| C4×(C2×D19)⋊C4 | 2 |
| #11926305 | 2 |
| #11926304 | 2 |
| C2×C19×#104 | 2 |
| #1871 | 19 |