Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19150747 |
| Sylow | C353 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
724 conjugacy classes — view the full character table.
| maximal subgroup of | #36378657, #36378663, #36378670, … |
| maximal normal subgroup of | #36378657, #36378663, #36378670, … |
| maximal quotient of | C2×#26015047, C4×#19150747, C2×#26015049, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 232);