Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C37 ⋊ #543 |
242 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^6,37|a^2=f,c^2=f,b^a=be,c^a=cf,d^a=de,c^b=ce,g^c=g^36382 conjugacy classes — view the full character table.
| maximal subgroup of | #17993518, #17993521, #17993552, … |
| maximal normal subgroup of | #17993518, #17993521, #17993552, … |
| maximal quotient of | #17997208, #17997210, #17997324, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1175);