Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| isoclinism | isoclinic class of #63243 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C23×#63243 |
| Sylow | C17 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #17956668, #17956709, #17956717, … |
| maximal normal subgroup of | #17956668, #17956709, #17956717, … |
| maximal quotient of | C23×#10587542, C22×C4×#63243, C23×#10587543, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21497);