Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14583835 |
| Sylow | C173 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368407, #36368408, #36368422, … |
| maximal normal subgroup of | #36368407, #36368408, #36368422, … |
| maximal quotient of | C8×#14583835, #36368772, #36368782, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1510);