Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
196 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 73 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. D4×C151⋊C8 | C2 | semidirect |
| 3. #23752277 | C2 | semidirect |
| 4. #23751964 | C2 | semidirect |
| 5. #23751941 | C2 | semidirect |
| 6. C8×C151⋊C8 | C2 | semidirect |
| 7. D4⋊C8×C151 | C2 | semidirect |
| 25. #14558989 | C8 | semidirect |
| 44. D604 | C2×C8 | semidirect |
| 51. C151⋊C8 | C2×C8 | semidirect |
| 52. C151⋊C8 | D8 | semidirect |
| 55. D4×C151 | C2×C8 | semidirect |
| 83. C151 | C8×D8 | semidirect |
| 90. D4⋊C8 | D151 | semidirect |
| 131. D4 | C8×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14558989 | 2 |
| D4×C151⋊C8 | 2 |
| #23752277 | 2 |
| #23751964 | 2 |
| #23751941 | 2 |
| C8×C151⋊C8 | 2 |
| D4⋊C8×C151 | 2 |
| C8×D8 | 151 |