Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
152 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 57. C8×C149 | Q16 | semidirect |
| 71. C149 | #1584 | semidirect |
| 129. C8 | #14558726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749755 | 2 |
| C4×#14558726 | 2 |
| #23749377 | 2 |
| Q8⋊#11924746 | 2 |
| #23749355 | 2 |
| #23749346 | 2 |
| C8×Q8×C149 | 2 |
| #1584 | 149 |