Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
384 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 165 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. #14557943 | C2 | direct (N × H) |
| 42. C2×#64436 | Q8 | semidirect |
| 59. #64436 | C2×Q8 | semidirect |
| 72. C2×C37 | #501 | semidirect |
| 82. C37 | C2×#501 | semidirect |
| 147. C2 | #14557943 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924536 | 2 |
| #14557943 | 2 |
| C2×#11924469 | 2 |
| C2×#11924467 | 2 |
| C2×#11924447 | 2 |
| C2×#125×C37 | 2 |
| C2×#501 | 37 |