Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
384 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 109 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×#11924448 | C2 | semidirect |
| 3. C2×#11924447 | C2 | semidirect |
| 4. C2×C4⋊C8×C37 | C2 | semidirect |
| 36. C2×#64436 | D4 | semidirect |
| 81. C2×C4⋊C8 | D37 | semidirect |
| 84. C37 | #1955 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D148 | 2 |
| C2×#11924448 | 2 |
| C2×#11924447 | 2 |
| C2×C4⋊C8×C37 | 2 |
| #1955 | 37 |