Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C283 ⋊ #342 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4528 |
Polycyclic presentation:
2^6,283|a^2=d,b^2=e,b^a=bc,c^a=cf,g^a=g^282,d^b=df2842 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119258, #49119259, #49119261, … |
| maximal normal subgroup of | #49119258, #49119259, #49119261, … |
| maximal quotient of | #49119104, #49119108, #49119114, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 316);