Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #23752759 | C2 | semidirect |
| 2. #23752616 | C2 | semidirect |
| 3. #23752587 | C2 | semidirect |
| 4. #23752557 | C2 | semidirect |
| 5. #23752449 | C2 | semidirect |
| 6. #23752447 | C2 | semidirect |
| 7. #23752445 | C2 | semidirect |
| 8. C4×D1208 | C2 | semidirect |
| 9. C4×#14558989 | C2 | semidirect |
| 10. C4×C8×D151 | C2 | semidirect |
| 11. C4×D8×C151 | C2 | semidirect |
| 89. C4×D151 | D8 | semidirect |
| 91. C151⋊C8 | #41 | semidirect |
| 101. C8×C151 | #41 | semidirect |
| 127. C151 | #3169 | semidirect |
| 138. C4×D8 | D151 | semidirect |
| 229. C8 | #14559004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752759 | 2 |
| #23752616 | 2 |
| #23752587 | 2 |
| #23752557 | 2 |
| #23752449 | 2 |
| #23752447 | 2 |
| #23752445 | 2 |
| C4×D1208 | 2 |
| C4×#14558989 | 2 |
| C4×C8×D151 | 2 |
| C4×D8×C151 | 2 |
| #3169 | 151 |