Finite Group DatabasebetaFinite Group Databasebeta| order | 992 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C31 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^5,31|a^2=e,c^2=d,f^a=f^30,c^b=ce170 conjugacy classes — view the full character table.
| maximal subgroup of | #14521021, #117×D31, C2×#11758454, … |
| maximal normal subgroup of | #14521021, #117×D31, C2×#11758454, … |
| maximal quotient of | #14520894, C22⋊C4×Dic31, #14520900, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(992, 72);