Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#18012745 | C2 | semidirect |
| 3. C2×#18012666 | C2 | semidirect |
| 4. C2×#18012665 | C2 | semidirect |
| 5. #23751976 | C2 | semidirect |
| 6. #23751966 | C2 | semidirect |
| 7. #408×C151 | C2 | semidirect |
| 11. C2×#14558994 | C4 | semidirect |
| 12. C2×#14558992 | C4 | semidirect |
| 13. C2×#14558991 | C4 | semidirect |
| 14. C2×#14558989 | C4 | semidirect |
| 130. C151 | #1876 | semidirect |
| 136. #408 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012759 | 2 |
| C2×#18012745 | 2 |
| C2×#18012666 | 2 |
| C2×#18012665 | 2 |
| #23751976 | 2 |
| #23751966 | 2 |
| #408×C151 | 2 |
| #1876 | 151 |