Finite Group Databasebeta

← Group #11684

Character table — Group #11684

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11222444488888888816161122244448888888881616
order122442488444481616161644222442488444481616161644
χ11111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ3111111111-1-1-1-111111-1-1111111111-1-1-1-111111-1-1
χ4111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-111
χ511111-1-1-1-1ii−i−i1ii−i−i1-111111-1-1-1-1ii−i−i1ii−i−i1-1
χ611111-1-1-1-1ii−i−i1−i−iii-1111111-1-1-1-1ii−i−i1−i−iii-11
χ711111-1-1-1-1−i−iii1ii−i−i-1111111-1-1-1-1−i−iii1ii−i−i-11
χ811111-1-1-1-1−i−iii1−i−iii1-111111-1-1-1-1−i−iii1−i−iii1-1
χ92222222-2-20000-20000002222222-2-20000-2000000
χ1022222-2-2220000-200000022222-2-2220000-2000000
χ11222-2-22-200000002−22−200222-2-22-200000002−22−200
χ12222-2-22-20000000−22−2200222-2-22-20000000−22−2200
χ13222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200
χ14222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200
χ1522-22-2002i−2i1+i−1−i1−i−1+i000000022-22-2002i−2i1+i−1−i1−i−1+i0000000
χ1622-22-2002i−2i−1−i1+i−1+i1−i000000022-22-2002i−2i−1−i1+i−1+i1−i0000000
χ1722-22-200−2i2i1−i−1+i1+i−1−i000000022-22-200−2i2i1−i−1+i1+i−1−i0000000
χ1822-22-200−2i2i−1+i1−i−1−i1+i000000022-22-200−2i2i−1+i1−i−1−i1+i0000000
χ1944-4-4400000000000000044-4-44000000000000000
χ208-80000000000000000008-8000000000000000000
χ2111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2211111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ23111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ24111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-11111-1-1
χ2511111-1-1-1-1ii−i−i1ii−i−i1-1-1-1-1-1-11111−i−iii-1−i−iii-11
χ2611111-1-1-1-1ii−i−i1−i−iii-11-1-1-1-1-11111−i−iii-1ii−i−i1-1
χ2711111-1-1-1-1−i−iii1ii−i−i-11-1-1-1-1-11111ii−i−i-1−i−iii1-1
χ2811111-1-1-1-1−i−iii1−i−iii1-1-1-1-1-1-11111ii−i−i-1ii−i−i-11
χ292222222-2-20000-2000000-2-2-2-2-2-2-22200002000000
χ3022222-2-2220000-2000000-2-2-2-2-222-2-200002000000
χ31222-2-22-200000002−22−200-2-2-222-220000000−22−2200
χ32222-2-22-20000000−22−2200-2-2-222-2200000002−22−200
χ33222-2-2-220000000i2−i2−i2i200-2-2-2222-20000000−i2i2i2−i200
χ34222-2-2-220000000−i2i2i2−i200-2-2-2222-20000000i2−i2−i2i200
χ3522-22-2002i−2i1+i−1−i1−i−1+i0000000-2-22-2200−2i2i−1−i1+i−1+i1−i0000000
χ3622-22-2002i−2i−1−i1+i−1+i1−i0000000-2-22-2200−2i2i1+i−1−i1−i−1+i0000000
χ3722-22-200−2i2i1−i−1+i1+i−1−i0000000-2-22-22002i−2i−1+i1−i−1−i1+i0000000
χ3822-22-200−2i2i−1+i1−i−1−i1+i0000000-2-22-22002i−2i1−i−1+i1+i−1−i0000000
χ3944-4-44000000000000000-4-444-4000000000000000
χ408-8000000000000000000-88000000000000000000

Here i is the imaginary unit (i² = −1).