Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C283 ⋊ #347 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4528 |
Polycyclic presentation:
2^6,283|a^2=c,b^2=d,c^2=e,e^2=f,b^a=be,d^a=df,g^a=g^282,c^b=cf2842 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119293, #49119294, #49119295, … |
| maximal normal subgroup of | #49119293, #49119294, #49119295, … |
| maximal quotient of | #49119182, #49119341, C2×#31826243 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 327);