Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C233 ⋊ #376 |
178 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14912 |
Polycyclic presentation:
2^6,233|a^2=e,b^2=f,c^2=d,b^a=bd,g^b=g^2323752 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449638, #44449702, #44449704, … |
| maximal normal subgroup of | #44449638, #44449702, #44449704, … |
| maximal quotient of | C4×#21418442, #44450035, #44450037 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 395);