Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11763345 |
| Fitting | C2×C17×C22⋊Q8 ⋊ C2 |
| Sylow | C17 ⋊ C2×#529 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16925773, #17000307, #17000426, … |
| maximal normal subgroup of | #16925773, #17000307, #17000426, … |
| maximal quotient of | C2×#14531179, C2×#14531220, C2×#14531242, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17778);