Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#11763674 |
| Fitting | C22×C8×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#336 |
528 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #17948637, #17948640, #336×#595, … |
| maximal normal subgroup of | #17948637, #17948640, #336×#595, … |
| maximal quotient of | C2×#14543606, #17950294, #17950297, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20169);