Finite Group Databasebeta

← Group #9701

Character table — Group #9701

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444444444444488888888888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-11-11
χ1111111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-11-11
χ1211111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iii−i−iii−i−iii1-11-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222222-2-2-222-222-2-222-2-2-2-200000000000000000000
χ182222222222-2-2-222-2-2-222-2-222-2-200000000000000000000
χ1922222222-2-2222-2-2222-2-2-2-222-2-200000000000000000000
χ2022222222-2-2222-2-22-2-22222-2-2-2-200000000000000000000
χ212222-2-2-2-222000-2-20002-2002-200000000002−22−22−22−20000
χ222222-2-2-2-222000-2-20002-2002-20000000000−22−22−22−220000
χ232222-2-2-2-222000-2-2000-2200-2200000000002−22−2−22−220000
χ242222-2-2-2-222000-2-2000-2200-220000000000−22−222−22−20000
χ252222-2-2-2-2-2-2000220002-200-220000000000i2−i2−i2i2i2−i2−i2i20000
χ262222-2-2-2-2-2-2000220002-200-220000000000−i2i2i2−i2−i2i2i2−i20000
χ272222-2-2-2-2-2-200022000-22002-20000000000i2−i2−i2i2−i2i2i2−i20000
χ282222-2-2-2-2-2-200022000-22002-20000000000−i2i2i2−i2i2−i2−i2i20000
χ2922-2-2-2-2222-222-22-2-2000000002-200002i−2i2i−2i000000000000
χ3022-2-2-2-2222-222-22-2-2000000002-20000−2i2i−2i2i000000000000
χ3122-2-2-2-2222-2-2-222-2200000000-222-22-20000000000000000
χ3222-2-2-2-2222-2-2-222-2200000000-22-22-220000000000000000
χ3322-2-2-2-222-2222-2-22-200000000-222i−2i−2i2i0000000000000000
χ3422-2-2-2-222-2222-2-22-200000000-22−2i2i2i−2i0000000000000000
χ3522-2-2-2-222-22-2-22-222000000002-200002-2-22000000000000
χ3622-2-2-2-222-22-2-22-222000000002-20000-222-2000000000000
χ3744-4-444-4-44-4000-440000000000000000000000000000000
χ3844-4-444-4-4-440004-40000000000000000000000000000000
χ394-44-44-44-40000000000004i−4i000000000000000000000000
χ404-44-44-44-4000000000000−4i4i000000000000000000000000
χ414-44-4-44-44004-4400-4000000000000000000000000000000
χ424-44-4-44-4400-44-4004000000000000000000000000000000
χ434-4-444-4-44004-4-4004000000000000000000000000000000
χ444-4-444-4-4400-44400-4000000000000000000000000000000
χ454-4-44-444-4000000004i−4i0000000000000000000000000000
χ464-4-44-444-400000000−4i4i0000000000000000000000000000

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