Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
| 3. C2×#10597294 | C2 | semidirect |
| 4. C2×#10597282 | C2 | semidirect |
| 5. #11926451 | C2 | semidirect |
| 6. #11926312 | C2 | semidirect |
| 7. C2×C19×#137 | C2 | semidirect |
| 41. C2×Q8×C19 | D4 | semidirect |
| 61. M16×C19 | D4 | semidirect |
| 73. #64520 | D4 | semidirect |
| 139. C2×#137 | D19 | semidirect |
| 175. C19 | #2007 | semidirect |
| 191. C2×Q8 | C22⋊D19 | semidirect |
| 210. M16 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597388 | 2 |
| #11927122 | 2 |
| C2×#10597294 | 2 |
| C2×#10597282 | 2 |
| #11926451 | 2 |
| #11926312 | 2 |
| C2×C19×#137 | 2 |
| #2007 | 19 |