Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic706 |
| Sylow | C353 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
2836 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36377691, #36377692, #36377693, … |
| maximal normal subgroup of | #36377691, #36377692, #36377693, … |
| maximal quotient of | C22×#19150716, C22×C4⋊Dic353, C2×C4×Dic706, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 186);