Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×D17⋊#131 |
| unambiguous semidirect product | D17⋊(C2×#131) |
| Sylow | C17 ⋊ C22×#131 |
1504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #17956811, #17956814, #17956855, … |
| maximal normal subgroup of | #17956811, #17956814, #17956855, … |
| maximal quotient of | C2×#14545344, C2×C4×#10587678, C4×D17⋊#131, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21499);