Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic922 |
| Sylow | C461 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14752 |
3700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44441980, #44441981, #44441982, … |
| maximal normal subgroup of | #44441980, #44441981, #44441982, … |
| maximal quotient of | C22×#20301480, C22×C4⋊Dic461, C2×C4×Dic922, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 186);