Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
648 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 173 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. #23752092 | C2 | semidirect |
| 3. #23752091 | C2 | semidirect |
| 4. #23752090 | C2 | semidirect |
| 5. #23752089 | C2 | semidirect |
| 6. #23752088 | C2 | semidirect |
| 7. #23752088 | C2 | semidirect |
| 8. #23752079 | C2 | semidirect |
| 9. #386×C151 | C2 | semidirect |
| 15. #18012735 | C4 | semidirect |
| 35. C2×D604 | C2×C4 | semidirect |
| 40. C2×C22⋊D151 | C2×C4 | semidirect |
| 41. C2×C22⋊D151 | C2×C4 | semidirect |
| 55. C4×Dic151 | C2×C4 | semidirect |
| 60. C2×D4×C151 | C2×C4 | semidirect |
| 147. C151 | #2380 | semidirect |
| 156. #386 | D151 | semidirect |
| 194. C2×D4 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012735 | 2 |
| #23752092 | 2 |
| #23752091 | 2 |
| #23752090 | 2 |
| #23752089 | 2 |
| #23752088 | 2 |
| #23752079 | 2 |
| #386×C151 | 2 |
| #2380 | 151 |