Finite Group DatabasebetaFinite Group Databasebeta| order | 16672 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22552354 |
| Sylow | C521 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16672 |
2614 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45687524, C4×#22552354, #45687536, … |
| maximal normal subgroup of | #45687524, C4×#22552354, #45687536, … |
| maximal quotient of | C2×#30659631, C2×#30659632, C2×#30659641, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16672, 163);