Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C17 ⋊ #2988 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=f,d^2=e,f^2=g,b^a=be,d^a=de,h^a=h^13,c^b=ce,h^b=h^16,h^f=h^16148 conjugacy classes — view the full character table.
| maximal subgroup of | #17953887, #17953889, #17953891, … |
| maximal normal subgroup of | #17953887, #17953889, #17953891, … |
| maximal quotient of | #17968972, #17968975, #17969040, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21427);