Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C17 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=f,e^2=g,h^a=h^13,c^b=cg,h^d=h^16,h^e=h^16160 conjugacy classes — view the full character table.
| maximal subgroup of | #17956602, #17956626, #17956631, … |
| maximal normal subgroup of | #17956602, #17956626, #17956631, … |
| maximal quotient of | #17963979, #17963985, #17964009, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21070);