Finite Group DatabasebetaFinite Group Databasebeta| order | 16736 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic523 |
| Sylow | C523 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16736 |
4196 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45689967, #45689968, #45689973, … |
| maximal normal subgroup of | #45689967, #45689968, #45689973, … |
| maximal quotient of | C2×C523⋊#95, C4×C4⋊Dic523, #45690065, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16736, 101);