Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C17 ⋊ #2982 |
396 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=f,b^2=e,c^2=e,f^2=g,b^a=be,d^a=de,h^a=h^13,c^b=ce,h^f=h^16148 conjugacy classes — view the full character table.
| maximal subgroup of | #17953877, #17953878, #17954200, … |
| maximal normal subgroup of | #17953877, #17953878, #17954200, … |
| maximal quotient of | #17968929, #17969107, #17972161, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21403);