Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C37 ⋊ #381 |
218 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^6,37|a^2=f,c^2=d,b^a=bd,c^a=ce,g^c=g^36388 conjugacy classes — view the full character table.
| maximal subgroup of | #17992525, #17994512, #17994672, … |
| maximal normal subgroup of | #17992525, #17994512, #17994672, … |
| maximal quotient of | #17992818, #17992820, #17992843, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 410);