Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14583835 |
| Sylow | C173 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #36369226, #36369229, C2×#26012371, … |
| maximal normal subgroup of | #36369226, #36369229, C2×#26012371, … |
| maximal quotient of | C22×#19149734, C2×C4×#14583835, C22×C22⋊#13063443, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1621);