Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
596 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 177 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 |
|---|---|---|
| 2. #23752112 | C2 | semidirect |
| 3. #23752101 | C2 | semidirect |
| 4. #23752097 | C2 | semidirect |
| 5. #23752090 | C2 | semidirect |
| 6. #23752088 | C2 | semidirect |
| 7. C4×C22⋊Dic151 | C2 | semidirect |
| 8. #23752059 | C2 | semidirect |
| 9. #381×C151 | C2 | semidirect |
| 13. #18012713 | C4 | semidirect |
| 38. C2×C22⋊D151 | C2×C4 | semidirect |
| 45. C4⋊Dic151 | C2×C4 | semidirect |
| 51. (C2×D151)⋊C4 | C2×C4 | semidirect |
| 58. C22×C4×C151 | C2×C4 | semidirect |
| 134. C151 | #2333 | semidirect |
| 142. #381 | D151 | semidirect |
| 183. C22×C4 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012713 | 2 |
| #23752112 | 2 |
| #23752101 | 2 |
| #23752097 | 2 |
| #23752090 | 2 |
| #23752088 | 2 |
| C4×C22⋊Dic151 | 2 |
| #23752059 | 2 |
| #381×C151 | 2 |
| #2333 | 151 |