Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19149598 |
| Sylow | C173 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1742 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36351689, #36351690, C4×#19149598, … |
| maximal normal subgroup of | #36351689, #36351690, C4×#19149598, … |
| maximal quotient of | C2×#26011217, #36351887, #36351893, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 529);