Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C283 ⋊ #533 |
222 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
Polycyclic presentation:
2^6,283|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^a=g^2824540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119663, #49119665, #49119681, … |
| maximal normal subgroup of | #49119663, #49119665, #49119681, … |
| maximal quotient of | #49123668, #49123738, #49123744, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 1106);