Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q32×Dic17 |
| Sylow | C17 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | #16954900, SD64×Dic17, #16954907, … |
| maximal normal subgroup of | #16954900, SD64×Dic17, #16954907, … |
| maximal quotient of | Q32×#3622, #16946241, #16946315, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6369);