Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#15668249 |
| Sylow | C179 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1808 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37507804, C8×#15668249, #37507816, … |
| maximal normal subgroup of | #37507804, C8×#15668249, #37507816, … |
| maximal quotient of | C8×#15668249, #37507848, #37507850, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 642);