Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C16 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C17 ⋊ #1312 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^7,17|a^2=c,b^2=d,c^2=e,d^2=f,f^2=g,b^a=be,h^a=h^13,h^c=h^16208 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#14543698, #17957996, #17958000, … |
| maximal normal subgroup of | C2×#14543698, #17957996, #17958000, … |
| maximal quotient of | #17948322, #17948487, #17949096, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 19424);