Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19149677 |
| Sylow | C173 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
1748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353953, #36353954, #36353956, … |
| maximal normal subgroup of | #36353953, #36353954, #36353956, … |
| maximal quotient of | C2×#26011360, C2×#26011386, C2×#26011396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1091);