Finite Group DatabasebetaFinite Group Databasebeta| order | 992 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C31 ⋊ #106 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
Polycyclic presentation:
2^5,31|a^2=d,b^2=c,d^2=e,b^a=bde,f^a=f^30,d^b=de164 conjugacy classes — view the full character table.
| maximal subgroup of | #106×D31, C2×#11758396, #14521085, … |
| maximal normal subgroup of | #106×D31, C2×#11758396, #14521085, … |
| maximal quotient of | #14520799, #14520811, #14520871, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(992, 14);