Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
420 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 2. #23752562 | C2 | semidirect |
| 3. #23752540 | C2 | semidirect |
| 4. #23752497 | C2 | semidirect |
| 5. #23752443 | C2 | semidirect |
| 6. #23752414 | C2 | semidirect |
| 7. #23752351 | C2 | semidirect |
| 8. C4×#14558991 | C2 | semidirect |
| 9. D4×C151⋊C8 | C2 | semidirect |
| 10. C2×#18012663 | C2 | semidirect |
| 11. D4×Q8×C151 | C2 | semidirect |
| 94. Q8×C151 | #41 | semidirect |
| 95. D4×C151 | SD16 | semidirect |
| 128. C151 | #3298 | semidirect |
| 130. D4×Q8 | D151 | semidirect |
| 213. Q8 | #14559003 | semidirect |
| 217. D4 | #14558991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752866 | 2 |
| #23752562 | 2 |
| #23752540 | 2 |
| #23752497 | 2 |
| #23752443 | 2 |
| #23752414 | 2 |
| #23752351 | 2 |
| C4×#14558991 | 2 |
| D4×C151⋊C8 | 2 |
| C2×#18012663 | 2 |
| D4×Q8×C151 | 2 |
| #3298 | 151 |