Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C283 ⋊ #346 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
Polycyclic presentation:
2^6,283|a^2=c,b^2=d,c^2=e,e^2=f,b^a=bf,g^b=g^2824552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119396, #346×D283, C2×#31826240, … |
| maximal normal subgroup of | #49119396, #346×D283, C2×#31826240, … |
| maximal quotient of | #49119177, #49119180, #49119338, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 324);