Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11924606 |
| Sylow | C37 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
172 conjugacy classes — view the full character table.
| maximal subgroup of | #18009661, #18009665, #18009670, … |
| maximal normal subgroup of | #18009661, #18009665, #18009670, … |
| maximal quotient of | C2×#14558394, C2×#14558397, #18010144, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1561);