Finite Group Databasebeta

← Group #9752

Character table — Group #9752

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222444422444444448888888844448888888888884444
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
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-1-1-1-1-11111-1-11-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ101111-1-1-1-1-1-11111-1-11-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ111111-1-1-1-1-1-11111-1-11-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ121111-1-1-1-1-1-11111-1-11-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ131111-1-1-1-1-1-11111-1-11-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141111-1-1-1-1-1-11111-1-11-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ151111-1-1-1-1-1-11111-1-11-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-111-1
χ161111-1-1-1-1-1-11111-1-11-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ172222222222-2-222-2-2-2-222-2-222-2-200000000000000000000
χ182222222222-2-222-2-2-2-2-2-222-2-22200000000000000000000
χ1922222222-2-222-2-222-2-20000000000002-22-2000000000000
χ2022222222-2-222-2-222-2-2000000000000-22-22000000000000
χ2122222222-2-2-2-2-2-2-2-222000000002i−2i2i−2i0000000000000000
χ2222222222-2-2-2-2-2-2-2-22200000000−2i2i−2i2i0000000000000000
χ232222-2-2-2-22222-2-2-2-2-220000000000002i−2i−2i2i000000000000
χ242222-2-2-2-22222-2-2-2-2-22000000000000−2i2i2i−2i000000000000
χ252222-2-2-2-222-2-2-2-2222-2000000002-2-220000000000000000
χ262222-2-2-2-222-2-2-2-2222-200000000-222-20000000000000000
χ272222-2-2-2-2-2-2-2-22222-2222-2-2-2-22200000000000000000000
χ282222-2-2-2-2-2-2-2-22222-22-2-22222-2-200000000000000000000
χ2922-2-222-2-22-2002-20000002-2002-2000000002−22−22−22−20000
χ3022-2-222-2-22-2002-20000002-2002-200000000−22−22−22−220000
χ3122-2-222-2-22-2002-2000000-2200-22000000002−22−2−22−220000
χ3222-2-222-2-22-2002-2000000-2200-2200000000−22−222−22−20000
χ3322-2-2-2-222-22002-20000002-200-2200000000i2−i2−i2i2i2−i2−i2i20000
χ3422-2-2-2-222-22002-20000002-200-2200000000−i2i2i2−i2−i2i2i2−i20000
χ3522-2-2-2-222-22002-2000000-22002-200000000i2−i2−i2i2−i2i2i2−i20000
χ3622-2-2-2-222-22002-2000000-22002-200000000−i2i2i2−i2i2−i2−i2i20000
χ3744-4-444-4-4-4400-4400000000000000000000000000000000
χ3844-4-4-4-4444-400-4400000000000000000000000000000000
χ394-44-44i−4i4i−4i00000000002i2−2i20022−220000000000000000000000
χ404-44-44i−4i4i−4i0000000000−2i22i200−22220000000000000000000000
χ414-44-4−4i4i−4i4i00000000002i2−2i200−22220000000000000000000000
χ424-44-4−4i4i−4i4i0000000000−2i22i20022−220000000000000000000000
χ434-4-444i−4i−4i4i004-4004i−4i000000000000000000000000000000
χ444-4-444i−4i−4i4i00-4400−4i4i000000000000000000000000000000
χ454-4-44−4i4i4i−4i004-400−4i4i000000000000000000000000000000
χ464-4-44−4i4i4i−4i00-44004i−4i000000000000000000000000000000

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