Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C37 ⋊ #424 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^6,37|a^2=e,b^2=d,e^2=f,b^a=bd,g^a=g^36,c^b=cf,g^b=g^36388 conjugacy classes — view the full character table.
| maximal subgroup of | #17992548, #17994868, #17994869, … |
| maximal normal subgroup of | #17992548, #17994868, #17994869, … |
| maximal quotient of | #17993368, #17993372, #17993377, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 577);