Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| isoclinism | isoclinic class of #63219 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic68 |
| Sylow | C17 ⋊ C23×Q16 |
1464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
568 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16941134, #16941136, #16941160, … |
| maximal normal subgroup of | #16941134, #16941136, #16941160, … |
| maximal quotient of | C23×#10587487, C23×#10587489, C22×C4×Dic68, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 19233);