Finite Group DatabasebetaFinite Group Databasebeta| order | 34256 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C2141 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17128 |
Polycyclic presentation:
2^4,2141|a^2=c,c^2=d,b^a=bd,e^a=e^21408570 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34256, 24);