Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#10596957 |
| Sylow | C37 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #18010259, #18010262, C2×#14558413, … |
| maximal normal subgroup of | #18010259, #18010262, C2×#14558413, … |
| maximal quotient of | C22×#11924591, C2×C4×#10596957, C22×C22⋊#64438, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1621);