Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
444 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 91 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×#64527 | C2 | semidirect |
| 2. C2×#10597392 | C2 | semidirect |
| 4. C2×#10597278 | C2 | semidirect |
| 5. C2×(C2×D19)⋊C8 | C2 | semidirect |
| 6. #11926306 | C2 | semidirect |
| 7. C2×C19×#103 | C2 | semidirect |
| 36. C2×Q8×C19 | D4 | semidirect |
| 66. C4⋊Dic19 | D4 | semidirect |
| 70. C2×C19⋊C8 | D4 | semidirect |
| 85. C22×D19 | SD16 | semidirect |
| 152. C2×#103 | D19 | semidirect |
| 186. C19 | #2000 | semidirect |
| 194. C2×Q8 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64527 | 2 |
| C2×#10597392 | 2 |
| C2×#10597341 | 2 |
| C2×#10597278 | 2 |
| C2×(C2×D19)⋊C8 | 2 |
| #11926306 | 2 |
| C2×C19×#103 | 2 |
| #2000 | 19 |