Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C16 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C17 ⋊ #1312 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^7,17|a^2=c,b^2=d,c^2=e,d^2=f,f^2=g,b^a=be,h^a=h^4,h^b=h^9,h^c=h^16,h^d=h^13,h^f=h^16112 conjugacy classes — view the full character table.
| maximal subgroup of | #17981129, #17981130, #17981131, … |
| maximal normal subgroup of | #17981129, #17981130, #17981131, … |
| maximal quotient of | #17981094, #17981196, #17981343, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21528);