Finite Group DatabasebetaFinite Group Databasebeta| order | 16672 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic521 |
| Sylow | C521 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16672 |
4180 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45687194, #45687195, #45687200, … |
| maximal normal subgroup of | #45687194, #45687195, #45687200, … |
| maximal quotient of | C2×#30659615, C4×C4⋊Dic521, #45687292, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16672, 101);