Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #1201 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#6668 |
| Hall | C3×C5 ⋊ C22×C4⋊C4 |
| Sylow | C5 ⋊ C22×C4⋊Dic3 |
| Sylow | C3 ⋊ C22×#683 |
836 conjugacy classes of subgroups; only the 432 normal subgroups are shown.
This group has 836 conjugacy classes of subgroups — too many to draw. Only its 432 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | #14279934, #14279937, #14279971, … |
| maximal normal subgroup of | #14279934, #14279937, #14279971, … |
| maximal quotient of | C22×#90994, C2×C4×#6668, C2×#11749506, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9567);