Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #677 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C3×#3950 |
| Hall | C3×C5 ⋊ C2×#107 |
| Sylow | C5 ⋊ C2×C3×#107 |
260 conjugacy classes of subgroups; only the 174 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 174 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
276 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#10598213, C3×#10598297, #14278827, … |
| maximal normal subgroup of | C3×#10598213, C3×#10598297, #14278827, … |
| maximal quotient of | C2×C3×#64678, C3×#10600524, C3×#10601543, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4197);