Finite Group Databasebeta

← Group #72322326

Character table — Group #72322326

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11112222222222222222224444448888888816161616161616161616161616161616161616161616161632323232323232323232323232323232
order12222222224444444488888888884444888844448888161616161616161616161616161616162222888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ91111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1
χ101111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111
χ111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111
χ121111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-22200000000000000000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-200000000000000000000000000000000
χ21222222-2-2-2-22-2-2222-2-2-2-2-2-2222-22-200000000000000000000000000002i2i−2i−2i002-200000000002i−2i
χ22222222-2-2-2-22-2-2222-2-2-2-2-2-2222-22-200000000000000000000000000002i2i−2i−2i00-220000000000−2i2i
χ23222222-2-2-2-22-2-2222-2-2-2-2-2-2222-22-20000000000000000000000000000−2i−2i2i2i002-20000000000−2i2i
χ24222222-2-2-2-22-2-2222-2-2-2-2-2-2222-22-20000000000000000000000000000−2i−2i2i2i00-2200000000002i−2i
χ252222-2-222-2-2-22-222-22-2-2-2-2-222-22-220000000000000000000000002i2i−2i−2i00002-200000000002i−2i00
χ262222-2-222-2-2-22-222-22-2-2-2-2-222-22-220000000000000000000000002i2i−2i−2i0000-220000000000−2i2i00
χ272222-2-222-2-2-22-222-22-2-2-2-2-222-22-22000000000000000000000000−2i−2i2i2i00002-20000000000−2i2i00
χ282222-2-222-2-2-22-222-22-2-2-2-2-222-22-22000000000000000000000000−2i−2i2i2i0000-2200000000002i−2i00
χ2922-2-22-22-22-22-222-2-22-2-2-2222-22-2-220000000000000000000000002i−2i2i−2i00000000002i−2i002-20000
χ3022-2-22-22-22-22-222-2-22-2-2-2222-22-2-220000000000000000000000002i−2i2i−2i0000000000−2i2i00-220000
χ3122-2-22-22-22-22-222-2-22-2-2-2222-22-2-22000000000000000000000000−2i2i−2i2i00000000002i−2i00-220000
χ3222-2-22-22-22-22-222-2-22-2-2-2222-22-2-22000000000000000000000000−2i2i−2i2i0000000000−2i2i002-20000
χ3322-2-2-222-2-22-2-2-22-222222-2-22-2-2-22200000000002-2002-2000000002-2-222-22-20000000000000000
χ3422-2-2-222-2-22-2-2-22-222222-2-22-2-2-22200000000002-2002-200000000-222-2-22-220000000000000000
χ3522-2-2-222-2-22-2-2-22-222222-2-22-2-2-2220000000000-2200-22000000002-2-22-22-220000000000000000
χ3622-2-2-222-2-22-2-2-22-222222-2-22-2-2-2220000000000-2200-2200000000-222-22-22-20000000000000000
χ3722-2-2-222-2-22-2-2-22-2222-2-222-2222-2-200000000002-200-2222-2-222-2-2000000000000000000000000
χ3822-2-2-222-2-22-2-2-22-2222-2-222-2222-2-200000000002-200-22-2-222-2-222000000000000000000000000
χ3922-2-2-222-2-22-2-2-22-2222-2-222-2222-2-20000000000-22002-222-2-2-2-222000000000000000000000000
χ4022-2-2-222-2-22-2-2-22-2222-2-222-2222-2-20000000000-22002-2-2-22222-2-2000000000000000000000000
χ4122-2-2-22-222-2-2222-22-2-2-2-2222-2-222-200000000000000000000000000002i−2i−2i2i00002i−2i002-2000000
χ4222-2-2-22-222-2-2222-22-2-2-2-2222-2-222-200000000000000000000000000002i−2i−2i2i0000−2i2i00-22000000
χ4322-2-2-22-222-2-2222-22-2-2-2-2222-2-222-20000000000000000000000000000−2i2i2i−2i00002i−2i00-22000000
χ4422-2-2-22-222-2-2222-22-2-2-2-2222-2-222-20000000000000000000000000000−2i2i2i−2i0000−2i2i002-2000000
χ454444444444-4-4-4-4-4-4-4-4000000000044-4-400000000000000000000000000000000000000000000
χ464444444444-4-4-4-4-4-4-4-40000000000-4-44400000000000000000000000000000000000000000000
χ47444444-4-4-4-44-4-4444-4-44444-4-4-44-44000000000000000000000000000000000000000000000000
χ48444444-4-4-4-4-444-4-4-44400000000000000000000000000000022−2222−22000000000000000000000000
χ49444444-4-4-4-4-444-4-4-444000000000000000000000000000000−2222−2222000000000000000000000000
χ504444-4-444-4-44-44-4-44-440000000000000000000000000022−2222−220000000000000000000000000000
χ514444-4-444-4-44-44-4-44-4400000000000000000000000000−2222−22220000000000000000000000000000
χ524444-4-444-4-4-44-444-44-44444-4-44-44-4000000000000000000000000000000000000000000000000
χ534444-4-4-4-44444-4-4-444-40000000000000000004-400000000000000000000000000000000000000
χ544444-4-4-4-44444-4-4-444-4000000000000000000-4400000000000000000000000000000000000000
χ554444-4-4-4-444-4-4444-4-44444444-4-4-4-4000000000000000000000000000000000000000000000000
χ564444-4-4-4-444-4-4444-4-44-4-4-4-4-4-44444000000000000000000000000000000000000000000000000
χ5744-4-44-44-44-44-444-4-44-444-4-4-44-444-4000000000000000000000000000000000000000000000000
χ5844-4-44-44-44-4-44-4-444-440000000000000000000000000022−22−22220000000000000000000000000000
χ5944-4-44-44-44-4-44-4-444-4400000000000000000000000000−222222−220000000000000000000000000000
χ6044-4-44-4-44-4444-44-4-4-4444-4-44-444-4-4000000000000000000000000000000000000000000000000
χ6144-4-44-4-44-4444-44-4-4-44-4-444-44-4-444000000000000000000000000000000000000000000000000
χ6244-4-44-4-44-44-4-44-4444-400000000000000000000004-40000000000000000000000000000000000
χ6344-4-44-4-44-44-4-44-4444-40000000000000000000000-440000000000000000000000000000000000
χ6444-4-4-444-4-44444-44-4-4-40000000000000044-4-40000000000000000000000000000000000000000
χ6544-4-4-444-4-44444-44-4-4-400000000000000-4-4440000000000000000000000000000000000000000
χ6644-4-4-44-444-44-4-4-44-44400000000000000000000000000000022−22−2222000000000000000000000000
χ6744-4-4-44-444-44-4-4-44-444000000000000000000000000000000−222222−22000000000000000000000000
χ6844-4-4-44-444-4-4444-44-4-444-4-4-444-4-44000000000000000000000000000000000000000000000000
χ698-88-80000000000000042−4242−42000000004-422−2222−220000000000000000000000000000000000000000
χ708-88-80000000000000042−4242−4200000000-44−2222−22220000000000000000000000000000000000000000
χ718-88-800000000000000−4242−4242000000004-4−2222−22220000000000000000000000000000000000000000
χ728-88-800000000000000−4242−424200000000-4422−2222−220000000000000000000000000000000000000000
χ738-8-880000000000000042−42−42420000004-40022−22−22220000000000000000000000000000000000000000
χ748-8-880000000000000042−42−4242000000-4400−222222−220000000000000000000000000000000000000000
χ758-8-8800000000000000−424242−420000004-400−222222−220000000000000000000000000000000000000000
χ768-8-8800000000000000−424242−42000000-440022−22−22220000000000000000000000000000000000000000

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