Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q32×D283 |
| Fitting | Q32×C283 ⋊ C2 |
| Sylow | C283 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
1573 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD64×D283, Q64×D283, #49123577, … |
| maximal normal subgroup of | SD64×D283, Q64×D283, #49123577, … |
| maximal quotient of | #358×D283, #366×D283, #49123117, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 975);