Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
216 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 73 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. #23752260 | C2 | semidirect |
| 5. #23751984 | C2 | semidirect |
| 6. #23751972 | C2 | semidirect |
| 7. C4×M16×C151 | C2 | semidirect |
| 16. #18012657 | C4 | semidirect |
| 17. #18012655 | C4 | semidirect |
| 95. C151 | #1932 | semidirect |
| 101. C4×M16 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752260 | 2 |
| #23752228 | 2 |
| C2×#18012667 | 2 |
| #23752194 | 2 |
| #23751984 | 2 |
| #23751972 | 2 |
| C4×M16×C151 | 2 |
| #1932 | 151 |