Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C37 ⋊ #432 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^6,37|a^2=e,c^2=d,e^2=f,b^a=bd,c^a=cf,g^c=g^36388 conjugacy classes — view the full character table.
| maximal subgroup of | #17992927, #17992929, #17992935, … |
| maximal normal subgroup of | #17992927, #17992929, #17992935, … |
| maximal quotient of | #17994343, #17994360, #17994448, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 603);