Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C17 ⋊ #3116 |
386 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=g,b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,d^c=dg,f^c=fg,h^d=h^16184 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#3116, C2×#14538939, #17902531, … |
| maximal normal subgroup of | D17×#3116, C2×#14538939, #17902531, … |
| maximal quotient of | #17034400, #17037333, #17037341, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14665);