Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
316 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 89 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. #15689087 | C2 | semidirect |
| 2. #15688849 | C2 | semidirect |
| 3. #15688847 | C2 | semidirect |
| 49. C23×C47 | M16 | semidirect |
| 66. C2×C4×C47 | M16 | semidirect |
| 102. C47 | #1465 | semidirect |
| 146. C23 | #10625329 | semidirect |
| 162. C2×C4 | #10625329 | semidirect |