Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11763878 |
| unambiguous semidirect product | D17⋊#520 |
| Fitting | C2×#41×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#520 |
1640 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #17956833, #17956836, #17956859, … |
| maximal normal subgroup of | #17956833, #17956836, #17956859, … |
| maximal quotient of | C2×#14545221, C2×#14545223, C2×#14545224, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21489);