Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
166 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 67 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. C8×Dic298 | C2 | semidirect |
| 3. #23749375 | C2 | semidirect |
| 4. #23749355 | C2 | semidirect |
| 6. #23749346 | C2 | semidirect |
| 42. Dic298 | M16 | semidirect |
| 60. C8×C149 | SD16 | semidirect |
| 77. C149 | #1583 | semidirect |
| 138. C8 | #14558724 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×Dic298 | 2 |
| C4×#14558724 | 2 |
| #23749375 | 2 |
| #23749355 | 2 |
| D4⋊#11924746 | 2 |
| #23749346 | 2 |
| #436×C149 | 2 |
| #1583 | 149 |