Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
116 conjugacy classes of subgroups; only the 32 normal subgroups are shown.
This group has 116 conjugacy classes of subgroups — too many to draw. Only its 32 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 |
|---|---|---|
| 8. #18011845 | C4 | semidirect |
| 10. C2×Q16×C149 | C4 | semidirect |
| 54. C149 | #1348 | semidirect |
| 59. C2×Q16 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750520 | 2 |
| #23750499 | 2 |
| #23749863 | 2 |
| #1348 | 149 |