Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2864 |
| Fitting | C2×C16×C179 ⋊ C2 |
| Sylow | C179 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
2870 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507177, #37507179, #37507189, … |
| maximal normal subgroup of | #37507177, #37507179, #37507189, … |
| maximal quotient of | C2×#26038241, C2×#26038265, C4×D2864, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 970);