Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D353 |
| Fitting | C2×Q8×C353 ⋊ C2 |
| Sylow | C353 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
1780 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #101×D353, #103×D353, #36377794, … |
| maximal normal subgroup of | #101×D353, #103×D353, #36377794, … |
| maximal quotient of | C2×C4⋊C4×D353, C4×Q8×D353, C2×#26014957, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 185);