Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C283 ⋊ #323 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4528 |
Polycyclic presentation:
2^6,283|a^2=d,d^2=f,b^a=bc,c^a=ce,g^a=g^282,d^b=de2842 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119188, #49119189, #49119190, … |
| maximal normal subgroup of | #49119188, #49119189, #49119190, … |
| maximal quotient of | #49119082, #49119087, #49119104, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 273);