Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C17×C22⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ #2976 |
412 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=f,f^2=g,b^a=be,d^a=de,c^b=ce,d^b=dg,h^b=h^16364 conjugacy classes — view the full character table.
| maximal subgroup of | #16928427, #16928431, #16928434, … |
| maximal normal subgroup of | #16928427, #16928431, #16928434, … |
| maximal quotient of | #17033018, #17033038, #17033096, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13555);