Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C17×#407 ⋊ C2 |
| Sylow | C17 ⋊ #2975 |
452 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=f,f^2=g,b^a=be,c^a=cg,d^a=deg,c^b=ceg,h^c=h^16268 conjugacy classes — view the full character table.
| maximal subgroup of | #16928337, #16928340, #16929295, … |
| maximal normal subgroup of | #16928337, #16928340, #16929295, … |
| maximal quotient of | #17033000, #17033001, #17033070, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13549);