Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
362 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 93 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. #11927019 | C2 | semidirect |
| 2. #11926561 | C2 | semidirect |
| 3. C2×#10597290 | C2 | semidirect |
| 4. #11926300 | C2 | semidirect |
| 8. C19×#127 | C4 | semidirect |
| 9. C19×#124 | C4 | semidirect |
| 22. C2×Q8×C19 | C2×C4 | semidirect |
| 28. C2×D4×C19 | C2×C4 | semidirect |
| 36. C42×C19 | C2×C4 | semidirect |
| 40. C4×Dic19 | D4 | semidirect |
| 97. #127 | Dic19 | semidirect |
| 98. #124 | Dic19 | semidirect |
| 107. C19 | #1911 | semidirect |
| 111. C2×Q8 | C2×Dic19 | semidirect |
| 117. C2×D4 | C2×Dic19 | semidirect |
| 132. C42 | C2×Dic19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927019 | 2 |
| #11926561 | 2 |
| C2×#10597290 | 2 |
| #11926300 | 2 |
| C19×#535 | 2 |
| #1911 | 19 |