Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×Q8×C283 ⋊ C2 |
| Sylow | C283 ⋊ #393 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
Polycyclic presentation:
2^6,283|a^2=d,b^2=d,b^a=bd,c^a=ce,c^b=cf,g^c=g^2822842 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49120211, #49120216, #49120238, … |
| maximal normal subgroup of | #49120211, #49120216, #49120238, … |
| maximal quotient of | #49119503, #49119520, #49119532, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 460);