Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1412 |
| Sylow | C353 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
2830 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36377590, #36377592, #36377602, … |
| maximal normal subgroup of | #36377590, #36377592, #36377602, … |
| maximal quotient of | C2×#26014917, C2×#26014926, C4×Dic1412, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 164);