Finite Group DatabasebetaFinite Group Databasebeta| order | 1888 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M16×C59 ⋊ C2 |
| Sylow | C59 ⋊ #104 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 472 |
Polycyclic presentation:
2^5,59|a^2=d,c^2=e,d^2=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^58304 conjugacy classes — view the full character table.
| maximal subgroup of | #104×D59, C2×#14273653, #16837417, … |
| maximal normal subgroup of | #104×D59, C2×#14273653, #16837417, … |
| maximal quotient of | #16837129, #16837132, #16837137, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1888, 72);