Finite Group DatabasebetaFinite Group Databasebeta| order | 1888 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C59 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 944 |
Polycyclic presentation:
2^5,59|a^2=e,c^2=d,b^a=bd,f^c=f^58310 conjugacy classes — view the full character table.
| maximal subgroup of | #16837374, #117×D59, C2×#14273683, … |
| maximal normal subgroup of | #16837374, #117×D59, C2×#14273683, … |
| maximal quotient of | #16837247, C22⋊C4×Dic59, #16837253, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1888, 102);