Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11763887 |
| Sylow | C17 ⋊ C2×#568 |
1460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #17956753, #17956763, #17956768, … |
| maximal normal subgroup of | #17956753, #17956763, #17956768, … |
| maximal quotient of | C2×#14545348, C2×#14545350, C2×#14545355, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21501);