Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C233 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
Polycyclic presentation:
2^6,233|a^2=d,b^2=e,d^2=f,g^a=g^232,c^b=cf2360 conjugacy classes. The character table is too large to display.
| maximal quotient of | #44450091, #44450094, #44450100, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 505);