Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 1. C2×#18012770 | C2 | semidirect |
| 3. #23752690 | C2 | semidirect |
| 4. #23752432 | C2 | semidirect |
| 5. #23752410 | C2 | semidirect |
| 6. #23752238 | C2 | semidirect |
| 7. #23752217 | C2 | semidirect |
| 8. #23752209 | C2 | semidirect |
| 9. C22×SD16×C151 | C2 | semidirect |
| 12. C2×#14558994 | C22 | semidirect |
| 13. C2×#14558991 | C22 | semidirect |
| 20. Q8×Dic151 | C22 | semidirect |
| 24. Dic151⋊C8 | C22 | semidirect |
| 25. #18012664 | C22 | semidirect |
| 26. #18012661 | C22 | semidirect |
| 56. C2×Q8×C151 | D4 | semidirect |
| 116. C151 | #3043 | semidirect |
| 119. C22×SD16 | D151 | semidirect |
| 156. C2×Q8 | C22⋊D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012770 | 2 |
| #23752779 | 2 |
| #23752690 | 2 |
| #23752432 | 2 |
| #23752410 | 2 |
| #23752238 | 2 |
| #23752217 | 2 |
| #23752209 | 2 |
| C22×SD16×C151 | 2 |
| #3043 | 151 |