Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C17×C32 ⋊ C2 |
| Sylow | C17 ⋊ #2258 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=d,d^2=e,e^2=f,f^2=g,c^b=cg,h^c=h^16592 conjugacy classes — view the full character table.
| maximal subgroup of | #16922136, #16922138, #16954886, … |
| maximal normal subgroup of | #16922136, #16922138, #16954886, … |
| maximal quotient of | #16954502, #16954503, #16954519, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6803);