Finite Group DatabasebetaFinite Group Databasebeta| order | 24224 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4⋊C4×C757 ⋊ C2 |
| Sylow | C757 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12112 |
Polycyclic presentation:
2^5,757|a^2=e,c^2=d,b^a=bd,f^b=f^756,f^c=f^7563800 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24224, 104);