Finite Group Databasebeta

← Group #72263827

Character table — Group #72263827

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222222222444444888888888816161616161616161616161616161616161616161616161632323232323232323232323232323232
order1222222222444422444422244444442222444444444444444444442444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1
χ91111111111-1-1-1-111-1-111111-1-1-1-1-1-111-1111-11-11-1-1-111-1-111-1-111-1-11-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-111111-1-1-1-1-1-111-1111-11-11-1-1-1-1-111-1-111-1-111-111-111-1-1-1-111-1-111
χ111111111111-1-1-1-111-1-111111-1-1-1-1-1-111-1-1-11-11-11-11111-1-111-1-1-1-111-11-11-1-11111-1-1-1-111
χ121111111111-1-1-1-111-1-111111-1-1-1-1-1-111-1-1-11-11-11-111-1-111-1-11111-1-11-1-11-1-111-1-11111-1-1
χ131111111111-1-1-1-111-1-111111-1-1-1-1-1-11-1111-11-11-11-1-111-1-111-1-111-1-11-11-1-1-111-1-111-1-111
χ141111111111-1-1-1-111-1-111111-1-1-1-1-1-11-1111-11-11-11-1-1-1-111-1-111-1-111-111-1-1-11111-1-111-1-1
χ151111111111-1-1-1-111-1-111111-1-1-1-1-1-11-11-1-1-11-11-111111-1-111-1-1-1-111-11-1111-1-1-1-11111-1-1
χ161111111111-1-1-1-111-1-111111-1-1-1-1-1-11-11-1-1-11-11-1111-1-111-1-11111-1-11-1-1111-1-111-1-1-1-111
χ17222222222222222222-2-22-2-2-2-222-2-2-200220000002200000000000000-2-2000000000000
χ18222222222222222222-2-22-2-2-2-222-2-2-200-2-2000000-2-20000000000000022000000000000
χ1922222222222222-2-22222-2-2-222-2-2-2-22000000000000000000002222-2-200000000000000
χ2022222222222222-2-22222-2-2-222-2-2-2-2200000000000000000000-2-2-2-22200000000000000
χ2122222222222222-2-222-2-2-222-2-2-2-222-20000000000002222-2-2-2-200000000000000000000
χ2222222222222222-2-222-2-2-222-2-2-2-222-2000000000000-2-2-2-2222200000000000000000000
χ232222222222-2-2-2-222-2-2-2-22-2-222-2-222-20022000000-2-200000000000000-22000000000000
χ242222222222-2-2-2-222-2-2-2-22-2-222-2-222-200-2-200000022000000000000002-2000000000000
χ252222222222-2-2-2-2-2-2-2-222-2-2-2-2-2222220000000000000000000022-2-2-2200000000000000
χ262222222222-2-2-2-2-2-2-2-222-2-2-2-2-22222200000000000000000000-2-2222-200000000000000
χ272222222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-200000000000022-2-2-2-22200000000000000000000
χ282222222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2000000000000-2-22222-2-200000000000000000000
χ292222-2-2-222-222-2-2222-222-22-22-22-22-2-22200-2-2-2-222000000000000000000000000000000
χ302222-2-2-222-222-2-2222-222-22-22-22-22-2-2-2-2002222-2-2000000000000000000000000000000
χ312222-2-2-222-222-2-2222-2-2-2-2-22-222-2-22200000000000000000000000000002-22-200000000
χ322222-2-2-222-222-2-2222-2-2-2-2-22-222-2-2220000000000000000000000000000-22-2200000000
χ332222-2-2-222-222-2-2-2-22-2222-222-2-22-22-20000000000000000000000000000000000002-22-2
χ342222-2-2-222-222-2-2-2-22-2222-222-2-22-22-2000000000000000000000000000000000000-22-22
χ352222-2-2-222-222-2-2-2-22-2-2-222-2-22-222-22000000000000000000000000000000002i−2i2i−2i0000
χ362222-2-2-222-222-2-2-2-22-2-2-222-2-22-222-2200000000000000000000000000000000−2i2i−2i2i0000
χ372222-2-2-222-2-2-22222-2222-22-2-22-22-22-22-200-22-222-2000000000000000000000000000000
χ382222-2-2-222-2-2-22222-2222-22-2-22-22-22-2-22002-22-2-22000000000000000000000000000000
χ392222-2-2-222-2-2-22222-22-2-2-2-222-2-222-2200000000000000000000000000002-2-2200000000
χ402222-2-2-222-2-2-22222-22-2-2-2-222-2-222-220000000000000000000000000000-222-200000000
χ412222-2-2-222-2-2-222-2-2-22222-22-222-22-2-20000000000000000000000000000000000002-2-22
χ422222-2-2-222-2-2-222-2-2-22222-22-222-22-2-2000000000000000000000000000000000000-222-2
χ432222-2-2-222-2-2-222-2-2-22-2-222-22-22-2-222000000000000000000000000000000002i−2i−2i2i0000
χ442222-2-2-222-2-2-222-2-2-22-2-222-22-22-2-22200000000000000000000000000000000−2i2i2i−2i0000
χ4544444-4-4-4-4444-4-400-440000000000002-200-222-2-22000000000000000000000000000000
χ4644444-4-4-4-4444-4-400-44000000000000-22002-2-222-2000000000000000000000000000000
χ4744444-4-4-4-44-4-444004-40000000000002200-2-222-2-2000000000000000000000000000000
χ4844444-4-4-4-44-4-444004-4000000000000-2-20022-2-222000000000000000000000000000000
χ494444-444-4-4-4444400-4-40000000000002-2002-2-22-22000000000000000000000000000000
χ504444-444-4-4-4444400-4-4000000000000-2200-222-22-2000000000000000000000000000000
χ514444-444-4-4-4-4-4-4-40044000000000000220022-2-2-2-2000000000000000000000000000000
χ524444-444-4-4-4-4-4-4-40044000000000000-2-200-2-22222000000000000000000000000000000
χ5344-4-404-40004i−4i4i−4i0000000000000000002-20000002i−2i2-22i−2i00002-22i−2i0000000000000000
χ5444-4-404-40004i−4i4i−4i0000000000000000002-20000002i−2i-22−2i2i0000-22−2i2i0000000000000000
χ5544-4-404-40004i−4i4i−4i000000000000000000-22000000−2i2i2-22i−2i0000-22−2i2i0000000000000000
χ5644-4-404-40004i−4i4i−4i000000000000000000-22000000−2i2i-22−2i2i00002-22i−2i0000000000000000
χ5744-4-404-4000−4i4i−4i4i0000000000000000002-2000000−2i2i2-2−2i2i00002-2−2i2i0000000000000000
χ5844-4-404-4000−4i4i−4i4i0000000000000000002-2000000−2i2i-222i−2i0000-222i−2i0000000000000000
χ5944-4-404-4000−4i4i−4i4i000000000000000000-220000002i−2i2-2−2i2i0000-222i−2i0000000000000000
χ6044-4-404-4000−4i4i−4i4i000000000000000000-220000002i−2i-222i−2i00002-2−2i2i0000000000000000
χ6188-8-80-880008i−8i−8i8i00000000000000000000000000000000000000000000000000000000
χ6288-8-80-88000−8i8i8i−8i00000000000000000000000000000000000000000000000000000000
χ638-88-880000-8000000000000000000000000000000000000004i−4i00000000000000000000
χ648-88-880000-800000000000000000000000000000000000000−4i4i00000000000000000000
χ658-88-8-8000080000000000000000000000000000000000004-40000000000000000000000
χ668-88-8-800008000000000000000000000000000000000000-440000000000000000000000
χ678-8-880008-80000000008-800000000000000000000000000000000000000000000000000
χ688-8-880008-8000000000-8800000000000000000000000000000000000000000000000000
χ698-8-88000-88000008-8000000000000000000000000000000000000000000000000000000
χ708-8-88000-8800000-88000000000000000000000000000000000000000000000000000000

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