Finite Group DatabasebetaFinite Group DatabasebetaOrder 2368.
128 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 128 conjugacy classes of subgroups — too many to draw. Only its 41 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. C2×#10596930 | C2 | semidirect |
| 2. C2×#10596940 | C2 | semidirect |
| 4. #11924501 | C2 | semidirect |
| 5. #11924465 | C2 | semidirect |
| 6. #11924456 | C2 | semidirect |
| 7. #102×C37 | C2 | semidirect |
| 35. Dic74 | D4 | semidirect |
| 50. Dic37 | SD16 | semidirect |
| 57. C37 | #460 | semidirect |
| 64. #102 | D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10596930 | 2 |
| C2×#10596940 | 2 |
| #11924532 | 2 |
| #11924501 | 2 |
| #11924465 | 2 |
| #11924456 | 2 |
| #102×C37 | 2 |
| #460 | 37 |