Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
240 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 57 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. #23752610 | C2 | semidirect |
| 3. #23752492 | C2 | semidirect |
| 4. #23752418 | C2 | semidirect |
| 5. #23751957 | C2 | semidirect |
| 6. #23751941 | C2 | semidirect |
| 7. D4⋊C8×C151 | C2 | semidirect |
| 67. D4×C151 | SD16 | semidirect |
| 97. C151 | #1654 | semidirect |
| 105. D4⋊C8 | D151 | semidirect |
| 158. D4 | #14558993 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752866 | 2 |
| #23752610 | 2 |
| #23752492 | 2 |
| #23752418 | 2 |
| #23751957 | 2 |
| #23751941 | 2 |
| D4⋊C8×C151 | 2 |
| #1654 | 151 |