Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
384 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #14557839 | C2 | direct (N × H) |
| 92. C2×C37 | #479 | semidirect |
| 104. C37 | C2×#479 | semidirect |
| 187. C2 | #14557839 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924527 | 2 |
| C2×#11924501 | 2 |
| #14557839 | 2 |
| C2×#11924467 | 2 |
| C2×#11924465 | 2 |
| C2×#11924461 | 2 |
| C2×#11924459 | 2 |
| C2×#107×C37 | 2 |
| C2×#479 | 37 |