Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#18012758 | C2 | semidirect |
| 2. #23752866 | C2 | semidirect |
| 3. #23752592 | C2 | semidirect |
| 4. #23752454 | C2 | semidirect |
| 5. #23752417 | C2 | semidirect |
| 6. #23752375 | C2 | semidirect |
| 7. C8×D604 | C2 | semidirect |
| 8. C4×D8×C151 | C2 | semidirect |
| 49. D8×C151 | D4 | semidirect |
| 85. C4×C151 | #135 | semidirect |
| 95. C151 | #3283 | semidirect |
| 103. C4×D8 | D151 | semidirect |
| 137. D8 | D604 | semidirect |
| 183. C4 | #18012758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012758 | 2 |
| #23752866 | 2 |
| #23752592 | 2 |
| #23752454 | 2 |
| #23752417 | 2 |
| #23752375 | 2 |
| C8×D604 | 2 |
| C4×D8×C151 | 2 |
| #3283 | 151 |