Finite Group DatabasebetaFinite Group Databasebeta| order | 18464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C577 ⋊ #126 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9232 |
Polycyclic presentation:
2^5,577|b^2=de,c^2=d,b^a=bd,c^a=ce,f^c=f^5762894 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #126×D577, C2×#32914657, #49148476, … |
| maximal normal subgroup of | #126×D577, C2×#32914657, #49148476, … |
| maximal quotient of | #49147816, #49147831, #49147834, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18464, 139);