Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C4×M16×C17 ⋊ C2 |
| Sylow | C17 ⋊ #2873 |
564 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=f,e^2=g,d^a=dg,c^b=cg,h^c=h^16388 conjugacy classes — view the full character table.
| maximal subgroup of | #16931656, #16931658, #16931661, … |
| maximal normal subgroup of | #16931656, #16931658, #16931661, … |
| maximal quotient of | #16999906, #16999930, #16999956, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12927);