Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. C2×#10597272 | C2 | semidirect |
| 5. #11926299 | C2 | semidirect |
| 6. #11926298 | C2 | semidirect |
| 7. C2×C19×#97 | C2 | semidirect |
| 18. C2×C8×D19 | C4 | semidirect |
| 21. (C2×D19)⋊C8 | C4 | semidirect |
| 78. C8×C19 | C22⋊C4 | semidirect |
| 91. C2×D19 | #97 | semidirect |
| 102. C2×#97 | D19 | semidirect |
| 127. C19 | #1752 | semidirect |
| 185. C8 | (C2×D19)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D19 | 2 |
| C2×(C2×D19)⋊C8 | 2 |
| C2×#10597272 | 2 |
| C4×(C2×D19)⋊C4 | 2 |
| #11926299 | 2 |
| #11926298 | 2 |
| C2×C19×#97 | 2 |
| #1752 | 19 |