Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
166 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 67 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. C8×Dic302 | C2 | semidirect |
| 4. #23751963 | C2 | semidirect |
| 5. #23751944 | C2 | semidirect |
| 7. #322×C151 | C2 | semidirect |
| 43. Dic302 | M16 | semidirect |
| 60. C8×C151 | SD16 | semidirect |
| 77. C151 | #1583 | semidirect |
| 85. #322 | D151 | semidirect |
| 138. C8 | #14558993 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×Dic302 | 2 |
| C4×#14558993 | 2 |
| #23752291 | 2 |
| #23751963 | 2 |
| #23751944 | 2 |
| #23751941 | 2 |
| #322×C151 | 2 |
| #1583 | 151 |