Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
220 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 8. #18012738 | C4 | semidirect |
| 9. #18012737 | C4 | semidirect |
| 13. Q8×Dic151 | C4 | semidirect |
| 15. #18012704 | C4 | semidirect |
| 103. C151 | #1518 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752764 | 2 |
| #23752262 | 2 |
| #23752076 | 2 |
| #23751950 | 2 |
| #23751949 | 2 |
| #23751948 | 2 |
| #328×C151 | 2 |
| #1518 | 151 |