Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C17×#380 ⋊ C2 |
| Sylow | C17 ⋊ #2353 |
588 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=g,b^2=f,c^2=ef,b^a=be,c^a=cf,h^a=h^16,d^b=de,h^b=h^16274 conjugacy classes — view the full character table.
| maximal subgroup of | #16927878, #16927883, #17002047, … |
| maximal normal subgroup of | #16927878, #16927883, #17002047, … |
| maximal quotient of | #16955759, #16955782, #16955786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 7452);