Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×C22⋊D17 |
| Fitting | C22×SD16×C17 ⋊ C2 |
| Sylow | C17 ⋊ D4×SD16 |
546 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
259 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D4×SD16×D17, C2×SD16×C22⋊D17, #17909613, … |
| maximal normal subgroup of | D4×SD16×D17, C2×SD16×C22⋊D17, #17909613, … |
| maximal quotient of | #17023787, #17023792, #17023802, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 16200);