Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#14523339 |
| Sylow | C257 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
2600 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45663117, SD16×#14523339, #45663124, … |
| maximal normal subgroup of | #45663117, SD16×#14523339, #45663124, … |
| maximal quotient of | C4⋊C4×#14523339, #45664879, #45665039, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 675);