Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C17 ⋊ #2922 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=f,c^2=e,f^2=g,b^a=be,h^a=h^13,d^b=dg,h^f=h^16136 conjugacy classes — view the full character table.
| maximal subgroup of | #17964092, #17964095, #17964101, … |
| maximal normal subgroup of | #17964092, #17964095, #17964101, … |
| maximal quotient of | #17968255, C4×#11763782, C4×#11763815, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21193);