Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #6652 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#90986 |
| Hall | C3×C5 ⋊ C2×#106 |
| Sylow | C5 ⋊ C2×#808 |
| Sylow | C3 ⋊ C2×#3940 |
260 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 260 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) = 960 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | #14296593, #14296595, #14296597, … |
| maximal normal subgroup of | #14296593, #14296595, #14296597, … |
| maximal quotient of | C2×#11745865, #14285666, #14285835, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2643);