Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#91954 |
| Sylow | C5 ⋊ C2×#984 |
282 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 47 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 320 |
82 conjugacy classes — view the full character table.
| maximal subgroup of | #14511834, #14511842, #14511855, … |
| maximal normal subgroup of | #14511834, #14511842, #14511855, … |
| maximal quotient of | C2×#11752105, C2×#11752107, #14513721, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11099);