Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
394 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 75 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×#14273758 | C2 | semidirect |
| 3. C2×#14273655 | C2 | semidirect |
| 4. #16837411 | C2 | semidirect |
| 5. C2×#14273644 | C2 | semidirect |
| 6. #16837162 | C2 | semidirect |
| 7. C2×#124×C59 | C2 | semidirect |
| 35. C2×Q8×C59 | D4 | semidirect |
| 56. C42×C59 | D4 | semidirect |
| 66. #11745664 | D4 | semidirect |
| 134. C2×#124 | D59 | semidirect |
| 139. C59 | #2004 | semidirect |
| 172. C2×Q8 | C22⋊D59 | semidirect |
| 200. C42 | C22⋊D59 | semidirect |