Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19149740 |
| Sylow | C173 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
710 conjugacy classes — view the full character table.
| maximal subgroup of | #36368660, #36368661, C4×#19149740, … |
| maximal normal subgroup of | #36368660, #36368661, C4×#19149740, … |
| maximal quotient of | C2×#26012336, C2×#26012337, #36368805, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1533);