Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 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×#18012787 | C2 | semidirect |
| 2. C2×#18012770 | C2 | semidirect |
| 3. C2×#18012761 | C2 | semidirect |
| 4. #23752793 | C2 | semidirect |
| 5. #23752377 | C2 | semidirect |
| 6. #23752369 | C2 | semidirect |
| 7. #23752360 | C2 | semidirect |
| 8. #23752352 | C2 | semidirect |
| 9. #23752211 | C2 | semidirect |
| 10. #23752178 | C2 | semidirect |
| 11. C2×#103×C151 | C2 | semidirect |
| 54. #14559004 | D4 | semidirect |
| 88. C2×Q8×C151 | D4 | semidirect |
| 169. C151 | #3013 | semidirect |
| 180. C2×#103 | D151 | semidirect |
| 234. C2×Q8 | D604 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012787 | 2 |
| C2×#18012770 | 2 |
| C2×#18012761 | 2 |
| #23752793 | 2 |
| #23752377 | 2 |
| #23752369 | 2 |
| #23752360 | 2 |
| #23752352 | 2 |
| #23752211 | 2 |
| #23752178 | 2 |
| C2×#103×C151 | 2 |
| #3013 | 151 |