Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#19149734 |
| Sylow | C173 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368402, #36368439, #36368458, … |
| maximal normal subgroup of | #36368402, #36368439, #36368458, … |
| maximal quotient of | C2×#13063443⋊C8, #36368770, #36368776, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1507);