Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #97×C37 ⋊ C2 |
| Sylow | C37 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^6,37|a^2=d,b^2=e,d^2=f,g^a=g^36,c^b=cf,g^c=g^36400 conjugacy classes — view the full character table.
| maximal subgroup of | #17996199, #17996410, #405×D37, … |
| maximal normal subgroup of | #17996199, #17996410, #405×D37, … |
| maximal quotient of | #17992875, #17992881, #17992882, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 506);