Finite Group DatabasebetaFinite Group Databasebeta| order | 1888 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C59 ⋊ Q32 |
24 conjugacy classes of subgroups.
| minimal degree | μ(G) = 91 |
| transitive degree | μt(G) = 1888 |
Polycyclic presentation:
2^5,59|a^2=e,b^2=e,c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,c^b=cd,d^b=de,f^b=f^58214 conjugacy classes — view the full character table.
| maximal subgroup of | Q32×D59, C2×#14273673, #16837832, … |
| maximal normal subgroup of | Q32×D59, C2×#14273673, #16837832, … |
| maximal quotient of | #16837205, #16837206, #16837227, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1888, 92);