Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
494 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 203 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. #21426374 | C2 | direct (N × H) |
| 91. C2×C59 | #2253 | semidirect |
| 107. C59 | C2×#2253 | semidirect |
| 172. C2 | #21426374 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837803 | 2 |
| #21426374 | 2 |
| C2×#16837230 | 2 |
| C2×#16837227 | 2 |
| C2×C16×Dic59 | 2 |
| C2×C59×#367 | 2 |
| C2×#2253 | 59 |