Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×Dic15 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C5 ⋊ Dic3×#41 |
| Sylow | C3 ⋊ #41×Dic5 |
620 conjugacy classes of subgroups; only the 335 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 335 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | #104×Dic15, #14295611, #14295638, … |
| maximal normal subgroup of | #104×Dic15, #14295611, #14295638, … |
| maximal quotient of | #117×Dic15, C4×D4×Dic15, C4×Q8×Dic15, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10780);