Finite Group DatabasebetaFinite Group Databasebeta| order | 16672 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#22552349 |
| Fitting | C2×D4×C521 ⋊ C2 |
| Sylow | C521 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8336 |
2614 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45687512, C4×#22552349, #45687541, … |
| maximal normal subgroup of | #45687512, C4×#22552349, #45687541, … |
| maximal quotient of | C2×#30659628, C2×#30659629, C2×#30659641, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16672, 156);