Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#10596942 |
| Sylow | C37 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17994934, #17994935, #17994937, … |
| maximal normal subgroup of | #17994934, #17994935, #17994937, … |
| maximal quotient of | C22×#11924459, C22×#11924460, C22×#11924469, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1325);