Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
332 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 89 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. #23752229 | C2 | semidirect |
| 3. C2×#18012667 | C2 | semidirect |
| 4. #23752185 | C2 | semidirect |
| 5. #23751982 | C2 | semidirect |
| 6. #23751972 | C2 | semidirect |
| 7. C4×#41×C151 | C2 | semidirect |
| 10. #18012769 | C4 | semidirect |
| 12. #18012764 | C4 | semidirect |
| 33. C2×Dic302 | C2×C4 | semidirect |
| 34. C2×D604 | C2×C4 | semidirect |
| 44. #14558988 | C2×C4 | semidirect |
| 129. C151 | #1906 | semidirect |
| 132. C4×#41 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23753010 | 2 |
| #23752229 | 2 |
| C2×#18012667 | 2 |
| #23752185 | 2 |
| #23751982 | 2 |
| #23751972 | 2 |
| C4×#41×C151 | 2 |
| #1906 | 151 |