Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D1028 |
| Fitting | C4×C8×C257 ⋊ C2 |
| Sylow | C257 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
4136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662274, #45662276, C8×#16861603, … |
| maximal normal subgroup of | #45662274, #45662276, C8×#16861603, … |
| maximal quotient of | C8×D2056, C8×#16861607, C8×Dic1028, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 616);