Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
344 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 1. #23752978 | C2 | semidirect |
| 3. #23752217 | C2 | semidirect |
| 4. #23752185 | C2 | semidirect |
| 5. #23751969 | C2 | semidirect |
| 6. #23751968 | C2 | semidirect |
| 7. #418×C151 | C2 | semidirect |
| 13. #18012735 | C4 | semidirect |
| 14. #18012726 | C4 | semidirect |
| 37. C2×C151⋊C8 | D4 | semidirect |
| 56. C2×C8×C151 | D4 | semidirect |
| 115. C151 | #1910 | semidirect |
| 120. #418 | D151 | semidirect |
| 165. C2×C8 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752978 | 2 |
| #23752779 | 2 |
| #23752217 | 2 |
| #23752185 | 2 |
| #23751969 | 2 |
| #23751968 | 2 |
| #418×C151 | 2 |
| #1910 | 151 |