Finite Group DatabasebetaFinite Group Databasebeta| order | 31072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C4×C971 ⋊ C2 |
| Sylow | C971 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15536 |
Polycyclic presentation:
2^5,971|a^2=e,c^2=e,b^a=bd,f^b=f^970,f^c=f^9704870 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31072, 108);