Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19149668 |
| Fitting | C22×Q8×C173 ⋊ C2 |
| Sylow | C173 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
1748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353948, #36353964, #36353966, … |
| maximal normal subgroup of | #36353948, #36353964, #36353966, … |
| maximal quotient of | C2×#26011356, C2×#26011381, C2×#26011392, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1067);