Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C3×C4×#681 |
| Hall | C3×C5 ⋊ C4×M16 |
| Sylow | C5 ⋊ C3×C4×M16 |
284 conjugacy classes of subgroups; only the 190 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 190 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
312 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#10598230, C3×#10598147, #14276776, … |
| maximal normal subgroup of | C3×#10598230, C3×#10598147, #14276776, … |
| maximal quotient of | C3×C8×#681, C3×#10600518, C3×#10600641, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4014);