Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| 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,g^a=g^36,c^b=cf382 conjugacy classes — view the full character table.
| maximal subgroup of | #17994817, #17994818, #17994838, … |
| maximal normal subgroup of | #17994817, #17994818, #17994838, … |
| maximal quotient of | #17993348, #17993363, #17993367, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 598);