Finite Group DatabasebetaFinite Group Databasebeta| order | 3104 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#87604)⋊C4 |
| Fitting | C2×C4×C97 ⋊ C4 |
| Sylow | C97 ⋊ #95 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 776 |
Polycyclic presentation:
2^5,97|a^2=d,b^2=e,b^a=bc,f^a=f^22,f^d=f^96212 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3104, 197);