Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #1201 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#6651 |
| Hall | C3×C5 ⋊ C4×M16 |
| Sylow | C5 ⋊ C4×ΓL(1,𝔽25) |
| Sylow | C3 ⋊ C4×#676 |
284 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 120 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#6651, #14280400, #14280403, … |
| maximal normal subgroup of | C8×#6651, #14280400, #14280403, … |
| maximal quotient of | C8×#6651, #14280515, #14280630, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 1201);