Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C8×Q8×C17 ⋊ C2 |
| Sylow | C17 ⋊ #2960 |
364 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=f,b^2=e,c^2=ef,f^2=g,b^a=be,d^a=dg,h^d=h^16376 conjugacy classes — view the full character table.
| maximal subgroup of | #16944125, #16944133, #16944269, … |
| maximal normal subgroup of | #16944125, #16944133, #16944269, … |
| maximal quotient of | #17032270, #17032288, #17032934, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13439);