Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
612 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 197 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×#18012704 | C2 | semidirect |
| 4. #23752117 | C2 | semidirect |
| 6. #23752102 | C2 | semidirect |
| 7. #23752083 | C2 | semidirect |
| 8. #23752058 | C2 | semidirect |
| 9. #384×C151 | C2 | semidirect |
| 13. #18012727 | C4 | semidirect |
| 33. C2×Dic302 | C2×C4 | semidirect |
| 46. (C2×D151)⋊C4 | C2×C4 | semidirect |
| 57. C42×C151 | C2×C4 | semidirect |
| 111. C151 | #2326 | semidirect |
| 120. #384 | D151 | semidirect |
| 169. C42 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012727 | 2 |
| C2×#18012704 | 2 |
| C2×#18012701 | 2 |
| #23752117 | 2 |
| #23752113 | 2 |
| #23752102 | 2 |
| #23752083 | 2 |
| #23752058 | 2 |
| #384×C151 | 2 |
| #2326 | 151 |