Finite Group DatabasebetaFinite Group Databasebeta| order | 992 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4⋊C4×C31 ⋊ C2 |
| Sylow | C31 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 496 |
Polycyclic presentation:
2^5,31|b^2=c,d^2=e,b^a=bd,d^a=de,f^a=f^30,d^b=de164 conjugacy classes — view the full character table.
| maximal subgroup of | #102×D31, C2×#11758397, #14521043, … |
| maximal normal subgroup of | #102×D31, C2×#11758397, #14521043, … |
| maximal quotient of | #14520776, #14520782, #14520792, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(992, 15);