Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#10596953 |
| Sylow | C37 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #18009427, #18009428, #18009457, … |
| maximal normal subgroup of | #18009427, #18009428, #18009457, … |
| maximal quotient of | C8×#10596953, #18009806, #18009816, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1511);