Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C5 · Schur multiplier (H2) = C2 |
| direct product | C5×#5405 |
| Fitting | C5×#131 ⋊ D3 |
124 conjugacy classes of subgroups; only the 30 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 30 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 160 |
130 conjugacy classes — view the full character table.
| maximal subgroup of | C2×C5×#5405, C5×#85448, C5×#85452, … |
| maximal normal subgroup of | C2×C5×#5405, C5×#85448, C5×#85452, … |
| maximal quotient of | C5×#226⋊C8, C5×#73010, C5×#73018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6271);