Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#91790 |
| Fitting | C22×C3×C5×C8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#131 |
| Sylow | C5 ⋊ C2×#901 |
| Sylow | C3 ⋊ C2×#4047 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14295507, #14295535, #14295909, … |
| maximal normal subgroup of | #14295507, #14295535, #14295909, … |
| maximal quotient of | C2×#11750790, C2×#11751202, C4×#91790, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10692);