Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19149614 |
| Sylow | C173 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353441, #36353443, #36353446, … |
| maximal normal subgroup of | #36353441, #36353443, #36353446, … |
| maximal quotient of | C2×#26011241, C2×#26011243, #36352309, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 594);