Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14583810 |
| Sylow | C173 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
2792 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353256, #36353257, #36353259, … |
| maximal normal subgroup of | #36353256, #36353257, #36353259, … |
| maximal quotient of | C22×#19149590, C2×C4×#14583810, C22×C22⋊#13063436, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1309);