Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
188 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 1. C2×D1888 | C2 | semidirect |
| 2. #21426216 | C2 | semidirect |
| 3. #21422300 | C2 | semidirect |
| 4. #21422287 | C2 | semidirect |
| 5. C59×#2258 | C2 | semidirect |
| 66. #2258 | D59 | semidirect |
| 85. C59 | #13700 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D1888 | 2 |
| #21426216 | 2 |
| #21422300 | 2 |
| #21422287 | 2 |
| C59×#2258 | 2 |
| #13700 | 59 |