Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic706 |
| Sylow | C353 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
2836 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36377517, #36377519, C4×#19150725, … |
| maximal normal subgroup of | #36377517, #36377519, C4×#19150725, … |
| maximal quotient of | C4×C4⋊Dic353, C4×#19150716, #36377670, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 112);