Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Fitting | C42×C37 ⋊ C4 |
| Sylow | C37 ⋊ #376 |
178 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^6,37|a^2=e,b^2=f,c^2=d,b^a=bd,g^a=g^31,g^e=g^36184 conjugacy classes — view the full character table.
| maximal subgroup of | #18009419, #18009483, #18009485, … |
| maximal normal subgroup of | #18009419, #18009483, #18009485, … |
| maximal quotient of | C4×(C2×#3866)⋊C4, #18009771, #18009772, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1485);