Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19150721 |
| Sylow | C353 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
2836 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36377543, #36377545, #36377546, … |
| maximal normal subgroup of | #36377543, #36377545, #36377546, … |
| maximal quotient of | C2×#26014903, C4×#19150721, C2×C22⋊#15667725, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 151);