Finite Group DatabasebetaFinite Group Databasebeta| order | 2144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C67 ⋊ C2 |
| Sylow | C67 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1072 |
Polycyclic presentation:
2^5,67|a^2=d,d^2=e,c^b=ce,f^c=f^66548 conjugacy classes — view the full character table.
| maximal subgroup of | #16863179, #16863181, #16863511, … |
| maximal normal subgroup of | #16863179, #16863181, #16863511, … |
| maximal quotient of | #16863350, #16863351, #16863361, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2144, 152);