Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C593 ⋊ C4 |
| Sylow | C593 ⋊ #99 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4744 |
Polycyclic presentation:
2^5,593|a^2=d,b^a=bc,c^a=ce,f^a=f^77,d^b=de,f^b=f^592,f^d=f^5921195 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49183619, #49183620, #49183621, … |
| maximal normal subgroup of | #49183619, #49183620, #49183621, … |
| maximal quotient of | #49183559, #49183560, #49183567, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 205);