Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C17 ⋊ #3244 |
320 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|b^2=eg,c^2=eg,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ce,d^b=dg,f^c=fg,h^c=h^16202 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#3244, C2×#14540076, #17906571, … |
| maximal normal subgroup of | D17×#3244, C2×#14540076, #17906571, … |
| maximal quotient of | #17043869, #17044095, #17044907, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 15802);