Finite Group DatabasebetaFinite Group Databasebeta| order | 18464 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C577 ⋊ C4 |
| Sylow | C577 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4616 |
Polycyclic presentation:
2^5,577|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^553,f^d=f^5761172 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49148839, #49148840, C2×#32914718, … |
| maximal normal subgroup of | #49148839, #49148840, C2×#32914718, … |
| maximal quotient of | #49148790, #49148791, #49148814, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18464, 200);