Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
492 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 221 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. #23752690 | C2 | semidirect |
| 3. #23752313 | C2 | semidirect |
| 4. SD16×Dic151 | C2 | semidirect |
| 5. #23752250 | C2 | semidirect |
| 6. #23752221 | C2 | semidirect |
| 8. #23752167 | C2 | semidirect |
| 12. Q8×Dic151 | C22 | semidirect |
| 20. #18012673 | C22 | semidirect |
| 21. #18012671 | C22 | semidirect |
| 22. #18012663 | C22 | semidirect |
| 24. #18012649 | C22 | semidirect |
| 25. C8×Dic151 | C22 | semidirect |
| 28. C2×SD16×C151 | C4 | semidirect |
| 50. C2×Q8×C151 | C2×C4 | semidirect |
| 58. SD16×C151 | C2×C4 | semidirect |
| 59. SD16×C151 | C2×C4 | semidirect |
| 60. C2×C8×C151 | C2×C4 | semidirect |
| 103. C151 | #2949 | semidirect |
| 116. C2×SD16 | Dic151 | semidirect |
| 139. C2×Q8 | C2×Dic151 | semidirect |
| 148. SD16 | C2×Dic151 | semidirect |
| 149. SD16 | C2×Dic151 | semidirect |
| 152. C2×C8 | C2×Dic151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752690 | 2 |
| #23752687 | 2 |
| #23752313 | 2 |
| SD16×Dic151 | 2 |
| #23752250 | 2 |
| #23752221 | 2 |
| #23752217 | 2 |
| #23752167 | 2 |
| C22×SD16×C151 | 2 |
| #2949 | 151 |