Finite Group DatabasebetaFinite Group Databasebeta| order | 11296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2824 |
| Fitting | C2×C8×C353 ⋊ C2 |
| Sylow | C353 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
2830 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36377587, #36377589, #36377599, … |
| maximal normal subgroup of | #36377587, #36377589, #36377599, … |
| maximal quotient of | C2×#26014914, C2×#26014926, C4×D2824, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11296, 157);