Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
460 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 460 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 |
|---|---|---|
| 3. #23752467 | C2 | semidirect |
| 4. #23752450 | C2 | semidirect |
| 5. #23752250 | C2 | semidirect |
| 6. #23752221 | C2 | semidirect |
| 7. C22×Q16×C151 | C2 | semidirect |
| 88. C151 | #3059 | semidirect |
| 90. C22×Q16 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012745 | 2 |
| #23752786 | 2 |
| #23752467 | 2 |
| #23752450 | 2 |
| #23752250 | 2 |
| #23752221 | 2 |
| C22×Q16×C151 | 2 |
| #3059 | 151 |