Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#19150722 |
| Fitting | C2×D4×C353 ⋊ C2 |
| Sylow | C353 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
1774 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36377867, C4×#19150722, #36377896, … |
| maximal normal subgroup of | #36377867, C4×#19150722, #36377896, … |
| maximal quotient of | C2×#26014912, C2×#26014913, C2×#26014925, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 156);