Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×D173⋊C8 |
| derived, Sylow | C173 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
752 conjugacy classes — view the full character table.
| maximal subgroup of | #36368392, #36368394, #36368397, … |
| maximal normal subgroup of | #36368392, #36368394, #36368397, … |
| maximal quotient of | C8×D173⋊C8, #36368757, #36368761, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1505);