Finite Group Databasebeta

← Group #72251485

Character table — Group #72251485

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11222222244444444444444888888816161616161616161616161616161616161616161616161632323232323232323232323232323232
order1222222222222224444444422222222244444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ91111-11-1-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ101111-11-1-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111-1-111ii−i−i−i−iii
χ111111-11-1-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i
χ121111-11-1-1-111-1-1111111-1-1-1-111-1-1-1-1111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ131111-11-1-1-111-1-1111111-1-1-1-111-1-1-1-11-1-111-1-111ii−i−iii−i−iii−i−iii−i−i11-1-1-1-111−i−iii−i−iii
χ141111-11-1-1-111-1-1111111-1-1-1-111-1-1-1-11-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ151111-11-1-1-111-1-1111111-1-1-1-111-1-1-1-11-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
χ161111-11-1-1-111-1-1111111-1-1-1-111-1-1-1-11-1-111-1-111−i−iii−i−iii−i−iii−i−iii11-1-1-1-111ii−i−iii−i−i
χ17222222222222222-2-2-2-2-2-2-2-2-2-222-2-220000000000000000000000002-22-2000000000000
χ18222222222222222-2-2-2-2-2-2-2-2-2-222-2-22000000000000000000000000-22-22000000000000
χ1922222222222-2-2-2-222222222-2-22-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ2022222222222-2-2-2-222222222-2-22-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ2122222222222-2-2-2-2-2-2-2-2-2-2-2-2222-222-200000000000000000000000000002i−2i2i−2i00000000
χ2222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-222-20000000000000000000000000000−2i2i−2i2i00000000
χ23222222222-2-2222222-2-222-2-22-2-2-22-2-200000000000022220000-2-2-2-20000000000000000
χ24222222222-2-2222222-2-222-2-22-2-2-22-2-2000000000000-2-2-2-2000022220000000000000000
χ25222222222-2-22222-2-222-2-222-22-2-2-22-20000000022220000-2-2-2-200000000000000000000
χ26222222222-2-22222-2-222-2-222-22-2-2-22-200000000-2-2-2-20000222200000000000000000000
χ27222222222-2-2-2-2-2-222-2-222-2-2-22-22-2220000000000000000000000000000000000002-22-2
χ28222222222-2-2-2-2-2-222-2-222-2-2-22-22-222000000000000000000000000000000000000-22-22
χ29222222222-2-2-2-2-2-2-2-222-2-2222-2-222-22000000000000000000000000000000002-22-20000
χ30222222222-2-2-2-2-2-2-2-222-2-2222-2-222-2200000000000000000000000000000000-22-220000
χ312222-22-2-2-22222-2-22222-2-2-2-2-2-2-2222-222-2-2-2-22200000000000000000000000000000000
χ322222-22-2-2-22222-2-22222-2-2-2-2-2-2-2222-2-2-22222-2-200000000000000000000000000000000
χ332222-22-2-2-22222-2-2-2-2-2-2222222-22-2-2-200000000000000000000000000002i−2i−2i2i00000000
χ342222-22-2-2-22222-2-2-2-2-2-2222222-22-2-2-20000000000000000000000000000−2i2i2i−2i00000000
χ352222-22-2-2-222-2-222-2-2-2-22222-2-2-2-22220000000000000000000000002-2-22000000000000
χ362222-22-2-2-222-2-222-2-2-2-22222-2-2-2-2222000000000000000000000000-222-2000000000000
χ372222-22-2-2-2-2-222-2-222-2-2-2-222-222-22-220000000000000000000000000000000000002i−2i−2i2i
χ382222-22-2-2-2-2-222-2-222-2-2-2-222-222-22-22000000000000000000000000000000000000−2i2i2i−2i
χ392222-22-2-2-2-2-222-2-2-2-22222-2-22-22-2-222000000000000000000000000000000002i−2i−2i2i0000
χ402222-22-2-2-2-2-222-2-2-2-22222-2-22-22-2-22200000000000000000000000000000000−2i2i2i−2i0000
χ412222-22-2-2-2-2-2-2-22222-2-2-2-2222-222-22-20000000000002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ422222-22-2-2-2-2-2-2-22222-2-2-2-2222-222-22-2000000000000−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ432222-22-2-2-2-2-2-2-222-2-22222-2-2-22222-2-2000000002i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ442222-22-2-2-2-2-2-2-222-2-22222-2-2-22222-2-200000000−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ45444-44-44-4-4000000004-4004-400000000000000000002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ46444-44-44-4-4000000004-4004-40000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ47444-44-44-4-400000000-4400-4400000000000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ48444-44-44-4-400000000-4400-440000000000000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ49444-4-4-4-444000000004-400-4400000000000000000002-2-2200002-2-220000000000000000
χ50444-4-4-4-444000000004-400-440000000000000000000-222-20000-222-20000000000000000
χ51444-4-4-4-44400000000-44004-400000000000000000002-2-220000-222-20000000000000000
χ52444-4-4-4-44400000000-44004-40000000000000000000-222-200002-2-220000000000000000
χ5344-444-4-44-40000004-4004-4000000000000000002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ5444-444-4-44-40000004-4004-400000000000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ5544-444-4-44-4000000-4400-44000000000000000002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ5644-444-4-44-4000000-4400-4400000000000000000−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ5744-44-4-44-440000004-400-44000000000000000002-2-2200002-2-2200000000000000000000
χ5844-44-4-44-440000004-400-4400000000000000000-222-20000-222-200000000000000000000
χ5944-44-4-44-44000000-44004-4000000000000000002-2-220000-222-200000000000000000000
χ6044-44-4-44-44000000-44004-400000000000000000-222-200002-2-2200000000000000000000
χ6144-4-444-4-44004-44-40000000000000002-22-22-22-200000000000000000000000000000000
χ6244-4-444-4-44004-44-4000000000000000-22-22-22-2200000000000000000000000000000000
χ6344-4-444-4-4400-44-440000000000000002-22-2-22-2200000000000000000000000000000000
χ6444-4-444-4-4400-44-44000000000000000-22-222-22-200000000000000000000000000000000
χ6544-4-4-4444-4004-4-440000000000000002-2-22-222-200000000000000000000000000000000
χ6644-4-4-4444-4004-4-44000000000000000-222-22-2-2200000000000000000000000000000000
χ6744-4-4-4444-400-444-40000000000000002-2-222-2-2200000000000000000000000000000000
χ6844-4-4-4444-400-444-4000000000000000-222-2-222-200000000000000000000000000000000
χ6916-1600000008-800000000000000000000000000000000000000000000000000000000000
χ7016-160000000-8800000000000000000000000000000000000000000000000000000000000

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