Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#10596929 |
| Fitting | C22×C8×C37 ⋊ C2 |
| Sylow | C37 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17994288, #17994291, #17994314, … |
| maximal normal subgroup of | #17994288, #17994291, #17994314, … |
| maximal quotient of | C22×#11924446, C2×C4×#10596929, C22×#11924448, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1308);