Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #123×#595 |
| Fitting | C17×#123 ⋊ C4 |
| Sylow | C17 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
112 conjugacy classes — view the full character table.
| maximal subgroup of | #352×#595, #458×#595, C2×#123×#595, … |
| maximal normal subgroup of | #352×#595, #458×#595, C2×#123×#595, … |
| maximal quotient of | #386×#595, #388×#595, #385×#595, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20975);