Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#14272338 |
| Sylow | C233 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
3752 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449652, #44449653, #44449656, … |
| maximal normal subgroup of | #44449652, #44449653, #44449656, … |
| maximal quotient of | C2×#28416159, C2×#28416161, #44450124, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 510);