Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic1028 |
| Sylow | C257 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
4124 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662283, #45662285, #45662289, … |
| maximal normal subgroup of | #45662283, #45662285, #45662289, … |
| maximal quotient of | C8×Dic1028, #45663172, #45663218, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 645);