Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#11762646 |
| Fitting | C2×C17×Q32 ⋊ C2 |
| Sylow | C17 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
214 conjugacy classes — view the full character table.
| maximal subgroup of | #16954900, C4×#11762646, #16954913, … |
| maximal normal subgroup of | #16954900, C4×#11762646, #16954913, … |
| maximal quotient of | C2×#14526961, C2×#14526965, C2×#14526985, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6810);