Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. C2×#18012663 | C2 | semidirect |
| 4. C2×#18012658 | C2 | semidirect |
| 5. #23751980 | C2 | semidirect |
| 6. #23751976 | C2 | semidirect |
| 24. #137×C151 | C4 | semidirect |
| 116. C151 | #1908 | semidirect |
| 128. #137 | Dic151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012746 | 2 |
| #23752213 | 2 |
| C2×#18012663 | 2 |
| C2×#18012658 | 2 |
| #23751980 | 2 |
| #23751976 | 2 |
| C2×#137×C151 | 2 |
| #1908 | 151 |