Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#16861608 |
| Sylow | C257 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
2588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45663124, C8×#16861608, #45663136, … |
| maximal normal subgroup of | #45663124, C8×#16861608, #45663136, … |
| maximal quotient of | C8×#16861608, #45663168, #45663170, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 642);