Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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×#18012770 | C2 | semidirect |
| 3. #23752786 | C2 | semidirect |
| 4. #23752605 | C2 | semidirect |
| 5. #23752597 | C2 | semidirect |
| 6. #23752590 | C2 | semidirect |
| 7. #23752167 | C2 | semidirect |
| 8. C22×Q16×C151 | C2 | semidirect |
| 96. C151 | #3156 | semidirect |
| 100. C22×Q16 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012770 | 2 |
| C2×#18012761 | 2 |
| #23752786 | 2 |
| #23752605 | 2 |
| #23752597 | 2 |
| #23752590 | 2 |
| #23752167 | 2 |
| C22×Q16×C151 | 2 |
| #3156 | 151 |