Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C22×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ #2933 |
502 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=f,c^2=f,f^2=g,b^a=be,h^a=h^16,d^c=dg370 conjugacy classes — view the full character table.
| maximal subgroup of | #17055054, #17055061, #17055069, … |
| maximal normal subgroup of | #17055054, #17055061, #17055069, … |
| maximal quotient of | #17005210, #17005221, #17005234, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13235);