Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
476 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 127. C2×C59⋊C8 | Q16 | semidirect |
| 215. C59 | #10037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434618 | 2 |
| #21434136 | 2 |
| #21434131 | 2 |
| #21425035 | 2 |
| #21422498 | 2 |
| #21421926 | 2 |
| C59×#1481 | 2 |
| #10037 | 59 |