Finite Group DatabasebetaFinite Group Databasebeta| order | 16672 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic1042 |
| Sylow | C521 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16672 |
4180 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45687336, #45687337, #45687338, … |
| maximal normal subgroup of | #45687336, #45687337, #45687338, … |
| maximal quotient of | C22×#22552343, C22×C4⋊Dic521, C2×C4×Dic1042, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16672, 186);