Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C17×C4⋊C16 ⋊ C2 |
| Sylow | C17 ⋊ #1330 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=d,c^2=eg,d^2=f,f^2=g,b^a=bc,c^a=ce,c^b=ceg,d^b=dg,h^b=h^16358 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#1330, C2×#14526741, #16944041, … |
| maximal normal subgroup of | D17×#1330, C2×#14526741, #16944041, … |
| maximal quotient of | #16920984, #16920987, #16920990, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 2467);