Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
572 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 141 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×#18012762 | C2 | semidirect |
| 2. C2×#18012760 | C2 | semidirect |
| 3. C2×#18012758 | C2 | semidirect |
| 4. #23752761 | C2 | semidirect |
| 5. #23752596 | C2 | semidirect |
| 6. #23752594 | C2 | semidirect |
| 7. #23752590 | C2 | semidirect |
| 8. #23752587 | C2 | semidirect |
| 9. #23752583 | C2 | semidirect |
| 10. C4×C8×D151 | C2 | semidirect |
| 11. #495×C151 | C2 | semidirect |
| 62. C8×D151 | D4 | semidirect |
| 63. C8×D151 | D4 | semidirect |
| 119. Dic151 | #135 | semidirect |
| 125. C151 | #3147 | semidirect |
| 133. #495 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012762 | 2 |
| C2×#18012760 | 2 |
| C2×#18012758 | 2 |
| #23752761 | 2 |
| #23752596 | 2 |
| #23752594 | 2 |
| #23752590 | 2 |
| #23752587 | 2 |
| #23752583 | 2 |
| C4×C8×D151 | 2 |
| #495×C151 | 2 |
| #3147 | 151 |