Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #123×Dic17 |
| Sylow | C17 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #352×Dic17, #16950290, #458×Dic17, … |
| maximal normal subgroup of | #352×Dic17, #16950290, #458×Dic17, … |
| maximal quotient of | #386×Dic17, #388×Dic17, #385×Dic17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 7033);