Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #108×C37 ⋊ C2 |
| Sylow | C37 ⋊ #430 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^6,37|a^2=e,b^2=d,d^2=f,e^2=f,b^a=bd,d^a=df,c^b=cf,g^c=g^36274 conjugacy classes — view the full character table.
| maximal subgroup of | #17996809, #17996812, #17996814, … |
| maximal normal subgroup of | #17996809, #17996812, #17996814, … |
| maximal quotient of | #17993345, #17993347, #17993360, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 596);