Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C37 ⋊ #444 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^6,37|a^2=e,c^2=e,d^2=f,e^2=f,b^a=bd,c^a=cf,d^a=df,g^a=g^36,d^b=df,g^c=g^36274 conjugacy classes — view the full character table.
| maximal subgroup of | #17996484, #17996488, #17996491, … |
| maximal normal subgroup of | #17996484, #17996488, #17996491, … |
| maximal quotient of | SD16⋊#64436, #17993415, #17993420, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 671);