Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
360 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. C2×C4⋊#64436 | C2 | semidirect |
| 3. #14557276 | C2 | direct (N × H) |
| 4. C2×C4⋊C8×C37 | C2 | semidirect |
| 14. C4⋊#64436 | C22 | semidirect |
| 18. C4⋊C8×C37 | C22 | semidirect |
| 85. C2×C37 | #331 | semidirect |
| 92. C2×C4⋊C8 | D37 | semidirect |
| 94. C37 | C2×#331 | semidirect |
| 108. C4⋊C8 | C2×D37 | semidirect |
| 175. C2 | #14557276 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924533 | 2 |
| C2×C4⋊#64436 | 2 |
| #14557276 | 2 |
| C2×C4⋊C8×C37 | 2 |
| C2×#331 | 37 |