Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C17 ⋊ Q8×M16 |
388 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,d^c=dg,h^c=h^16274 conjugacy classes — view the full character table.
| maximal subgroup of | #16928656, #16928660, #16928670, … |
| maximal normal subgroup of | #16928656, #16928660, #16928670, … |
| maximal quotient of | #17032313, #17032319, #17032970, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13461);