Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14583836 |
| Sylow | C173 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368394, #36368395, #36368424, … |
| maximal normal subgroup of | #36368394, #36368395, #36368424, … |
| maximal quotient of | C8×#14583836, #36368773, #36368783, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1511);