Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
144 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 69. C149 | #1684 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749976 | 2 |
| #23749920 | 2 |
| #23749910 | 2 |
| #23749378 | 2 |
| #23749373 | 2 |
| #23749372 | 2 |
| C8×Q8×C149 | 2 |
| #1684 | 149 |