Finite Group DatabasebetaFinite Group Databasebeta| order | 2144 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#11761618 |
| Sylow | C67 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2144 |
344 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16863488, C4×#11761618, #16863500, … |
| maximal normal subgroup of | #16863488, C4×#11761618, #16863500, … |
| maximal quotient of | C2×#14523966, C2×#14523967, C2×#14523976, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2144, 163);