Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
332 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 2. #11926545 | C2 | semidirect |
| 3. C2×#10597278 | C2 | semidirect |
| 4. C2×#10597280 | C2 | semidirect |
| 5. #11926312 | C2 | semidirect |
| 6. #11926309 | C2 | semidirect |
| 7. C2×C19×#131 | C2 | semidirect |
| 17. #10597395 | C4 | semidirect |
| 118. C2×#131 | D19 | semidirect |
| 151. C19 | #1907 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597395 | 2 |
| #11926545 | 2 |
| C2×#10597278 | 2 |
| C2×#10597280 | 2 |
| #11926312 | 2 |
| #11926309 | 2 |
| C2×C19×#131 | 2 |
| #1907 | 19 |