Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
228 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 45 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. #23752606 | C2 | semidirect |
| 3. #23752572 | C2 | semidirect |
| 4. #23752571 | C2 | semidirect |
| 5. #23751951 | C2 | semidirect |
| 6. #23751951 | C2 | semidirect |
| 7. #329×C151 | C2 | semidirect |
| 10. #18012739 | C22 | semidirect |
| 23. #18012650 | C22 | semidirect |
| 25. #97×C151 | C22 | semidirect |
| 26. #97×C151 | C22 | semidirect |
| 107. C151 | #1659 | semidirect |
| 115. #329 | D151 | semidirect |
| 133. #97 | C2×D151 | semidirect |
| 134. #97 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752954 | 2 |
| #23752606 | 2 |
| #23752572 | 2 |
| #23752571 | 2 |
| #23751951 | 2 |
| #329×C151 | 2 |
| #1659 | 151 |