Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#91498 |
| Hall | C3×C5 ⋊ C2×AGL(1,ℤ/8) |
| Sylow | C5 ⋊ C2×#911 |
| Sylow | C3 ⋊ C2×#4060 |
596 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 136 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
84 conjugacy classes — view the full character table.
| maximal subgroup of | #14416679, #14416688, C4×#91498, … |
| maximal normal subgroup of | #14416679, #14416688, C4×#91498, … |
| maximal quotient of | C2×#11748972, C2×#11747507, C2×#11747457, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8919);