Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C17 ⋊ M128 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=c,c^2=d,d^2=e,e^2=f,f^2=g,b^a=bg,h^a=h^13,h^c=h^16208 conjugacy classes — view the full character table.
| maximal subgroup of | #17949548, #17949549, #17949552, … |
| maximal normal subgroup of | #17949548, #17949549, #17949552, … |
| maximal quotient of | #17949544, C22⋊#11763648, C4⋊#11763648, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 19679);