Finite Group Databasebeta

← Group #72265771

Character table — Group #72265771

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size11112222444448888888888888888888816161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222222224444444444442222444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111-1111-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1111-1-1-11-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ511111111111111111-1-111-1-11111111111-1-1111-11-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1
χ611111111111111111-1-111-1-11111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ711111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1111111-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1111-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1
χ91111111111111-1-1-1-111111111-1-111-1-111-1111-1-1-1-11-11-1111-11-11-11-11-1-1-111-1-11-11-1
χ101111111111111-1-1-1-111111111-1-111-1-111-11-1-1-1-1-1-11-11-1-1-11-11-11-11-11-111-1-111-11-11
χ111111111111111-1-1-1-1111111-1-111-1-11111-1-111-11-1-1-11-11111-1-111-1-11-11-1-1-1-1111-1-11
χ121111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1-1-11-11-1-11-1-111-1-11-111111-1-1-111-1
χ131111111111111-1-1-1-1-1-111-1-111-1-111-1-1111-111-11-111-1-1111-11-11-111-1-11-1-111-1-1-11-11
χ141111111111111-1-1-1-1-1-111-1-111-1-111-1-1111-1-1-1-11-111-1-11-1-1-11-11-111-1-1111-1-1111-11-1
χ151111111111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-11-111-111-111-1-11-111-1-1-1-1-111-111-1
χ161111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-11-111-1-1-1-111-1-11-111-11111-1-11-1-11
χ172222222222222222200-2-2002222-2-2-2-2-2-20000-20-20220000000000-2-2000000000000
χ182222222222222222200-2-200-2-2-2-22222-2-20000-20-20-2-2000000000022000000000000
χ192222222222222-2-2-2-200-2-20022-2-2-2-222-2-2000020202-20000000000-22000000000000
χ202222222222222-2-2-2-200-2-200-2-22222-2-2-2-200002020-2200000000002-2000000000000
χ21222222222-2-2-2-222-2-200-2-2000000000022020022-2000220000-2-20000-2-20000000000
χ22222222222-2-2-2-222-2-200-2-20000000000220-2002-2-2000-2-20000220000220000000000
χ23222222222-2-2-2-222-2-222222200000000-2-22000-2022000000-2-200-2-200000000000000
χ24222222222-2-2-2-222-2-2-2-222-2-200000000-2-2-2000-202-200000022002200000000000000
χ25222222222-2-2-2-2-2-22200-2-20000000000220200-2-220002-20000-220000-220000000000
χ26222222222-2-2-2-2-2-22200-2-20000000000220-200-222000-2200002-200002-20000000000
χ27222222222-2-2-2-2-2-22222222200000000-2-2-200020-2-2000000-2200-2200000000000000
χ28222222222-2-2-2-2-2-222-2-222-2-200000000-2-2200020-220000002-2002-200000000000000
χ292222-2-222-22-22-20000002-200002200-2-22-22-200000-20-220000-2200202-200000000000
χ302222-2-222-22-22-20000002-200002200-2-22-2-220000020-2-200002-200-202200000000000
χ312222-2-222-22-22-20000002-20000-2-200222-22200000-202-20000-2-20020-2200000000000
χ322222-2-222-22-22-20000002-20000-2-200222-2-2-200000202200002200-20-2-200000000000
χ332222-2-222-22-22-2000022-22-2-200220022-2200000-2000-20200-200-2200-2020000000000
χ342222-2-222-22-22-2000022-22-2-200-2-200-2-2-2200000200020-200-200220020-20000000000
χ352222-2-222-22-22-20000-2-2-222200220022-22000002000-20-2002002-200-20-20000000000
χ362222-2-222-22-22-20000-2-2-222200-2-200-2-2-2200000-200020200200-2-2002020000000000
χ372222-2-222-2-22-220000002-2002200-2-200-2220000-20-2-20020002020-2200-20000000000
χ382222-2-222-2-22-220000002-2002200-2-200-22-20000202-200-2000-20-20220020000000000
χ392222-2-222-2-22-220000002-200-2-2002200-222000020-2200-200020-20-2-20020000000000
χ402222-2-222-2-22-220000002-200-2-2002200-22-20000-2022002000-20202-200-20000000000
χ412222-2-222-2-22-22000022-22-2-2220022002-20-2000000-20200020-20-20-20200000000000
χ422222-2-222-2-22-22000022-22-2-2-2-200-2-2002-20200000020-20002020-2020-200000000000
χ432222-2-222-2-22-220000-2-2-2222220022002-202000000-20-2000-202020-20-200000000000
χ442222-2-222-2-22-220000-2-2-2222-2-200-2-2002-20-2000000202000-20-202020200000000000
χ45444444-4-4-400004-4000000000000000000002200000000-2-200000000002-200000000
χ46444444-4-4-400004-400000000000000000000-2-200000000220000000000-2200000000
χ47444444-4-4-40000-44000000000000000000002200000000-2-20000000000-2200000000
χ48444444-4-4-40000-4400000000000000000000-2-2000000002200000000002-200000000
χ494-44-4004-40040-4000000000000004i−4i0000002-2000000002-20000000000002i−2i000000
χ504-44-4004-40040-4000000000000004i−4i000000-2200000000-22000000000000−2i2i000000
χ514-44-4004-40040-400000000000000−4i4i0000002-2000000002-2000000000000−2i2i000000
χ524-44-4004-40040-400000000000000−4i4i000000-2200000000-220000000000002i−2i000000
χ534-44-400-440-404000000000000000004-400002-200000000-22000000000000002-20000
χ544-44-400-440-404000000000000000004-40000-22000000002-200000000000000-220000
χ554-44-400-440-40400000000000000000-4400002-200000000-2200000000000000-220000
χ564-44-400-440-40400000000000000000-440000-22000000002-2000000000000002-20000
χ578888-8-8-8-880000000000000000000000000000000000000000000000000000000000
χ5888-8-8000000000004-40000004i−4i4i−4i0000000000000000000000000000000000000000
χ5988-8-8000000000004-4000000−4i4i−4i4i0000000000000000000000000000000000000000
χ6088-8-800000000000-440000004i−4i−4i4i0000000000000000000000000000000000000000
χ6188-8-800000000000-44000000−4i4i4i−4i0000000000000000000000000000000000000000
χ628-88-8008-800-808000000000000000000000000000000000000000000000000000000
χ638-88-800-88080-80000000000000000000000000000000000000000000000000000000
χ648-8-888-8000000000004-4004-400000000000000000000000000000000000000000000
χ658-8-888-800000000000-4400-4400000000000000000000000000000000000000000000
χ668-8-88-88000000000004-400-4400000000000000000000000000000000000000000000
χ678-8-88-8800000000000-44004-400000000000000000000000000000000000000000000

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