Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#14583811 |
| Fitting | C22×D4×C173 ⋊ C2 |
| Sylow | C173 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
1748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353908, #36353909, #36353911, … |
| maximal normal subgroup of | #36353908, #36353909, #36353911, … |
| maximal quotient of | C22×#19149599, C22×#19149600, C22×#19149612, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1318);