Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14583816 |
| Sylow | C173 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
1748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353901, #36353902, #36353904, … |
| maximal normal subgroup of | #36353901, #36353902, #36353904, … |
| maximal quotient of | C22×#19149602, C22×#19149603, C22×#19149612, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1325);