Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
264 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 93 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×#14273659 | C2 | semidirect |
| 4. #16837170 | C2 | semidirect |
| 5. C2×#108×C59 | C2 | semidirect |
| 8. #14273733 | C4 | semidirect |
| 86. C2×#108 | D59 | semidirect |
| 90. C59 | #1815 | semidirect |