Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
564 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 181 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. C22×Dic76 | C2 | semidirect |
| 3. C2×#10597315 | C2 | semidirect |
| 5. #11926938 | C2 | direct (N × H) |
| 6. C2×C19×#97 | C2 | semidirect |
| 15. C2×Dic76 | C22 | semidirect |
| 21. #10597315 | C22 | semidirect |
| 22. C19×#97 | C22 | semidirect |
| 84. C2×#97 | D19 | semidirect |
| 85. C2×C19 | #497 | semidirect |
| 104. #97 | C2×D19 | semidirect |
| 105. C19 | C2×#497 | semidirect |
| 162. C2 | #11926938 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic76 | 2 |
| C22×#64516 | 2 |
| C2×#10597315 | 2 |
| C2×#10597321 | 2 |
| #11926938 | 2 |
| C2×C19×#97 | 2 |
| C2×#497 | 19 |