Finite Group DatabasebetaFinite Group Databasebeta| order | 3616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C113 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1808 |
Polycyclic presentation:
2^5,113|a^2=e,c^2=d,b^a=bd,f^a=f^112916 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3616, 105);