Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10597388 | C2 | semidirect |
| 2. C2×#10597378 | C2 | semidirect |
| 3. #11927094 | C2 | semidirect |
| 4. #11926939 | C2 | semidirect |
| 5. #11926934 | C2 | semidirect |
| 6. #11926926 | C2 | semidirect |
| 7. C4×#64520 | C2 | semidirect |
| 8. C2×C19×#124 | C2 | semidirect |
| 17. C2×#64528 | C22 | semidirect |
| 19. C2×#64527 | C22 | semidirect |
| 25. #10597321 | C22 | semidirect |
| 26. #10597320 | C22 | semidirect |
| 28. #10597315 | C22 | semidirect |
| 29. #10597260 | C22 | semidirect |
| 30. C4×C19⋊C8 | C22 | semidirect |
| 59. #64520 | D4 | semidirect |
| 105. C2×#124 | D19 | semidirect |
| 137. C19 | #3153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597388 | 2 |
| C2×#10597378 | 2 |
| #11927094 | 2 |
| #11926939 | 2 |
| #11926934 | 2 |
| #11926926 | 2 |
| C4×#64520 | 2 |
| C2×C19×#124 | 2 |
| #3153 | 19 |