Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
384 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 5. #23752505 | C2 | semidirect |
| 6. #23752420 | C2 | semidirect |
| 8. Q16×Dic151 | C2 | semidirect |
| 9. #23752304 | C2 | semidirect |
| 88. C2×Dic151 | Q16 | semidirect |
| 127. C151 | #3104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752764 | 2 |
| C2×Q8×Dic151 | 2 |
| #23752548 | 2 |
| #23752545 | 2 |
| #23752505 | 2 |
| #23752420 | 2 |
| #23752368 | 2 |
| Q16×Dic151 | 2 |
| #23752304 | 2 |
| #23752262 | 2 |
| #451×C151 | 2 |
| #3104 | 151 |