Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1412 |
| Fitting | C42×C353 ⋊ C2 |
| Sylow | C353 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
2836 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36377514, #36377516, #36377852, … |
| maximal normal subgroup of | #36377514, #36377516, #36377852, … |
| maximal quotient of | C4×#19150714, C4×C4⋊Dic353, #36377661, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 110);