Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C17×#446 ⋊ C2 |
| Sylow | C17 ⋊ #2969 |
370 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,h^a=h^16,c^b=cg,h^b=h^16,d^c=dg,h^d=h^16274 conjugacy classes — view the full character table.
| maximal subgroup of | #17005235, #17005239, #17005272, … |
| maximal normal subgroup of | #17005235, #17005239, #17005272, … |
| maximal quotient of | #17032593, #17032626, #17032718, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13516);