Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
412 conjugacy classes of subgroups; only the 164 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 164 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. #23750676 | C2 | semidirect |
| 2. #23750659 | C2 | semidirect |
| 3. #23750655 | C2 | semidirect |
| 4. #23750644 | C2 | semidirect |
| 5. #23750643 | C2 | semidirect |
| 6. C4×#14558746 | C2 | semidirect |
| 7. C4×D149⋊C8 | C2 | semidirect |
| 62. #11924753 | #41 | semidirect |
| 76. C4×D149 | M16 | semidirect |
| 104. C149 | #2965 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750676 | 2 |
| #23750659 | 2 |
| #23750655 | 2 |
| #23750644 | 2 |
| #23750643 | 2 |
| C4×#14558746 | 2 |
| C4×D149⋊C8 | 2 |
| C4×#14558737 | 2 |
| #2965 | 149 |