Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
226 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 53 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. #23752647 | C2 | semidirect |
| 2. #23752465 | C2 | semidirect |
| 3. #23752022 | C2 | semidirect |
| 4. #23751994 | C2 | semidirect |
| 5. #575×C151 | C2 | semidirect |
| 6. C2×D1208 | C22 | semidirect |
| 10. #18012679 | C22 | semidirect |
| 11. #18012671 | C22 | semidirect |
| 35. Q16×C151 | D4 | semidirect |
| 39. D8×C151 | D4 | semidirect |
| 83. C151 | #2190 | semidirect |
| 85. #575 | D151 | semidirect |
| 115. Q16 | C22⋊D151 | semidirect |
| 120. D8 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752647 | 2 |
| #23752465 | 2 |
| #23752022 | 2 |
| #23751994 | 2 |
| #575×C151 | 2 |
| #2190 | 151 |