Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
272 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 9. #18012673 | C4 | semidirect |
| 10. #18012671 | C4 | semidirect |
| 15. #97×C151 | C4 | semidirect |
| 50. C8×C151 | C42 | semidirect |
| 68. C151 | #1776 | semidirect |
| 83. #97 | Dic151 | semidirect |
| 119. C8 | C4×Dic151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012673 | 2 |
| C2×#18012671 | 2 |
| C4×C4⋊Dic151 | 2 |
| #23751975 | 2 |
| C2×#97×C151 | 2 |
| #1776 | 151 |