Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
612 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 197 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. C2×Q8×Dic151 | C2 | semidirect |
| 5. #23752101 | C2 | semidirect |
| 6. #23752086 | C2 | semidirect |
| 7. #23752081 | C2 | semidirect |
| 8. #23752058 | C2 | semidirect |
| 9. #391×C151 | C2 | semidirect |
| 12. #18012728 | C4 | semidirect |
| 45. (C2×D151)⋊C4 | C2×C4 | semidirect |
| 47. C4×Dic151 | C2×C4 | semidirect |
| 51. C2×Q8×C151 | C2×C4 | semidirect |
| 111. C151 | #2326 | semidirect |
| 116. #391 | D151 | semidirect |
| 145. C2×Q8 | C4×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012728 | 2 |
| C2×Q8×Dic151 | 2 |
| C2×#18012701 | 2 |
| #23752114 | 2 |
| #23752101 | 2 |
| #23752086 | 2 |
| #23752081 | 2 |
| #23752058 | 2 |
| #391×C151 | 2 |
| #2326 | 151 |