Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| isoclinism | isoclinic class of #63243 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#63243 |
| Sylow | C17 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
104 conjugacy classes — view the full character table.
| maximal subgroup of | #14544448, #14544451, C2×#11763679, … |
| maximal normal subgroup of | #14544448, #14544451, C2×#11763679, … |
| maximal quotient of | C22×#10587542, C2×C4×#63243, C22×#10587543, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1623);