Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 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. #23752586 | C2 | semidirect |
| 3. #23752560 | C2 | semidirect |
| 4. #23752412 | C2 | semidirect |
| 5. #23752362 | C2 | semidirect |
| 6. #23752265 | C2 | semidirect |
| 7. #533×C151 | C2 | semidirect |
| 11. C2×#14558991 | C22 | semidirect |
| 16. C4⋊(C151⋊C8) | C22 | semidirect |
| 17. #18012659 | C22 | semidirect |
| 19. C4×C151⋊C8 | C22 | semidirect |
| 20. C4⋊Q8×C151 | C22 | semidirect |
| 21. C4⋊Q8×C151 | C22 | semidirect |
| 26. C4×Q8×C151 | C22 | semidirect |
| 76. C2×C4×C151 | SD16 | semidirect |
| 104. C151 | #3208 | semidirect |
| 106. #533 | D151 | semidirect |
| 117. C4⋊Q8 | C2×D151 | semidirect |
| 118. C4⋊Q8 | C2×D151 | semidirect |
| 127. C4×Q8 | C2×D151 | semidirect |
| 180. C2×C4 | #14558991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012736 | 2 |
| #23752586 | 2 |
| #23752560 | 2 |
| #23752412 | 2 |
| #23752362 | 2 |
| #23752265 | 2 |
| #533×C151 | 2 |
| #3208 | 151 |