Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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×#18012770 | C2 | semidirect |
| 3. C2×Q8×Dic151 | C2 | semidirect |
| 4. #23752436 | C2 | semidirect |
| 5. #23752432 | C2 | semidirect |
| 6. #23752420 | C2 | semidirect |
| 7. #23752410 | C2 | semidirect |
| 8. #23752235 | C2 | semidirect |
| 9. #23752214 | C2 | semidirect |
| 10. #23752213 | C2 | semidirect |
| 11. C2×#137×C151 | C2 | semidirect |
| 80. C2×Q8×C151 | D4 | semidirect |
| 150. Dic151 | #137 | semidirect |
| 157. C151 | #3037 | semidirect |
| 160. C2×#137 | D151 | semidirect |
| 210. C2×Q8 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012770 | 2 |
| #23752758 | 2 |
| C2×Q8×Dic151 | 2 |
| #23752436 | 2 |
| #23752432 | 2 |
| #23752420 | 2 |
| #23752410 | 2 |
| #23752235 | 2 |
| #23752214 | 2 |
| #23752213 | 2 |
| C2×#137×C151 | 2 |
| #3037 | 151 |