Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
402 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 402 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 |
|---|---|---|
| 93. C42×C59 | Q16 | semidirect |
| 202. C59 | #10522 | semidirect |
| 283. C42 | #11745672 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21435438 | 2 |
| #21425073 | 2 |
| #21424248 | 2 |
| #21422787 | 2 |
| #21422786 | 2 |
| #21421970 | 2 |
| C59×#1994 | 2 |
| #10522 | 59 |