Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #213 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C5 · Schur multiplier (H2) = C23 |
| direct product | C4×C5×#213 |
| Fitting | C3×C4×C5×D4 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×D8 |
| Sylow | C3 ⋊ C4×C5×D8 |
268 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 110 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#68148, C5×C8×#213, #14286094, … |
| maximal normal subgroup of | C5×#68148, C5×C8×#213, #14286094, … |
| maximal quotient of | C5×C8×#213, C5×#70862, C5×#70841, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4707);