Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C37 ⋊ #353 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 296 |
Polycyclic presentation:
2^6,37|a^2=d,c^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^36,c^b=cf,d^b=def,d^c=df265 conjugacy classes — view the full character table.
| maximal subgroup of | #17992741, #17992742, #17992758, … |
| maximal normal subgroup of | #17992741, #17992742, #17992758, … |
| maximal quotient of | #17992528, #17992542, #17992593, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 342);