Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14583815 |
| Fitting | C22×C8×C173 ⋊ C2 |
| Sylow | C173 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
2780 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353896, #36353898, #36353917, … |
| maximal normal subgroup of | #36353896, #36353898, #36353917, … |
| maximal quotient of | C22×#19149601, C22×#19149604, C22×#19149611, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1323);