Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#11763686 |
| Fitting | C2×C22⋊C4×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#342 |
680 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
124 conjugacy classes — view the full character table.
| maximal subgroup of | #342×#595, C4×#11763686, #17956693, … |
| maximal normal subgroup of | #342×#595, C4×#11763686, #17956693, … |
| maximal quotient of | C2×#14543621, #17950551, #17950557, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20205);