Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C22×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ #2879 |
764 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=dg,c^b=cg,h^b=h^16364 conjugacy classes — view the full character table.
| maximal subgroup of | #16939655, #16939658, #16939660, … |
| maximal normal subgroup of | #16939655, #16939658, #16939660, … |
| maximal quotient of | #17000391, #17000396, #17000400, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12954);