Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| isoclinism | isoclinic class of #63219 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×#63219 |
| Fitting | C23×C8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C23×SD16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
568 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16941127, #16941131, #16941154, … |
| maximal normal subgroup of | #16941127, #16941131, #16941154, … |
| maximal quotient of | C23×#10587492, C23×#10587487, C23×#10587488, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 19230);