Finite Group DatabasebetaFinite Group Databasebeta| order | 992 |
| isoclinism | isoclinic class of #92470 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic124 |
| Sylow | C31 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 992 |
254 conjugacy classes — view the full character table.
| maximal subgroup of | #14520852, #14520854, #14520864, … |
| maximal normal subgroup of | #14520852, #14520854, #14520864, … |
| maximal quotient of | C2×#11758404, C2×#11758406, C4×Dic124, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(992, 100);