Finite Group Databasebeta

← Group #72264003

Character table — Group #72264003

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size11112222222222444444444444448888888888888816161616161616161616161616161616161616161616161616161616323232323232323232323232
order1222222222444422224444444444224444444444442222222444444444444444448888444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111111-1-111-1-1-1111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111-1-111111111-1-111-1-1-1-1-11-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111111111-1-111111111-1-111-1-111111-1111-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ61111111111111111111111111111-1-111111111-1-111-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ9111111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-11-1-11111-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ10111111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-11-1-1-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111
χ11111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-111111-111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ12111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11-1111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1
χ13111111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111-1-111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ14111111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-11-1-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-1
χ15111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ16111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111
χ172222222222-2-2-2-22222-2-2-20000-2-2-22222000000222200-20000-2-200-2000022-2-200000000000000000000
χ182222222222-2-2-2-22222-2-2-20000-2-2-222-2-200000022-2-20020000-2200-20000-2-22200000000000000000000
χ192222222222-2-2-2-22222-2-2-20000-2-2-2-2-222000000-2-22200-200002-20020000-2-22200000000000000000000
χ202222222222-2-2-2-22222-2-2-20000-2-2-2-2-2-2-2000000-2-2-2-2002000022002000022-2-200000000000000000000
χ2122222222-2-22-2-222-2-2-22-2-222-2-222-20000222-2-2-20000000002200000-2-2000000000022-2-2000000000000
χ2222222222-2-22-2-222-2-2-22-2-222-2-222-20000222-2-2-2000000000-2-200000220000000000-2-222000000000000
χ2322222222-2-22-2-222-2-2-22-2-2-2-22222-20000-2-2-22220000000002200000-2-20000000000-2-222000000000000
χ2422222222-2-22-2-222-2-2-22-2-2-2-22222-20000-2-2-2222000000000-2-20000022000000000022-2-2000000000000
χ25222222-2-2222222-22-2-2-22-222222-2-200222-2-22-2-200-2-2002-2-2000-22200000000000000000000000000000
χ26222222-2-2222222-22-2-2-22-222222-2-200-2-22-2-22-2-2002200-2220002-2-200000000000000000000000000000
χ27222222-2-2222222-22-2-2-22-2-2-2-2-22-2-20022-222-22200-2-200222000-2-2-200000000000000000000000000000
χ28222222-2-2222222-22-2-2-22-2-2-2-2-22-2-200-2-2-222-222002200-2-2-200022200000000000000000000000000000
χ29222222-2-222-2-2-2-2-22-2-22-220000-222002200000000-2-22-2-2000002000002-2000022-2-20000000000000000
χ30222222-2-222-2-2-2-2-22-2-22-220000-222002200000000-2-2-22-200000200000-220000-2-2220000000000000000
χ31222222-2-222-2-2-2-2-22-2-22-220000-22200-2-200000000222-2200000-2000002-20000-2-2220000000000000000
χ32222222-2-222-2-2-2-2-22-2-22-220000-22200-2-20000000022-22200000-200000-22000022-2-20000000000000000
χ33222222-2-2-2-22-2-22-2-222-2-2222-2-22-2200002-2-2-22200000000000000000000000000000000002-200002-200
χ34222222-2-2-2-22-2-22-2-222-2-2222-2-22-2200002-2-2-2220000000000000000000000000000000000-220000-2200
χ35222222-2-2-2-22-2-22-2-222-2-22-2-2222-220000-2222-2-200000000000000000000000000000000002-20000-2200
χ36222222-2-2-2-22-2-22-2-222-2-22-2-2222-220000-2222-2-20000000000000000000000000000000000-2200002-200
χ372222-2-222222222-2-22-2-2-222222-22-22200-22-2-22-2-2-200-2-200000-200020022000000000000000000000000
χ382222-2-222222222-2-22-2-2-222222-22-2-2-200-22-2-22-2220022000002000-200-2-2000000000000000000000000
χ392222-2-222222222-2-22-2-2-22-2-2-2-2-22-222002-222-22-2-2002200000-2000200-2-2000000000000000000000000
χ402222-2-222222222-2-22-2-2-22-2-2-2-2-22-2-2-2002-222-222200-2-2000002000-20022000000000000000000000000
χ412222-2-22222-2-2-2-2-2-22-222-200002-222200000000-2-2000002-200202-2-2000000002-22-20000000000000000
χ422222-2-22222-2-2-2-2-2-22-222-200002-222200000000-2-200000-220020-22-200000000-22-220000000000000000
χ432222-2-22222-2-2-2-2-2-22-222-200002-22-2-20000000022000002-200-202-2200000000-22-220000000000000000
χ442222-2-22222-2-2-2-2-2-22-222-200002-22-2-2000000002200000-2200-20-222000000002-22-20000000000000000
χ452222-2-222-2-22-2-22-22-22-22-222-2-2-2220000-22-22-22000000000000000000000000000000002-200002-20000
χ462222-2-222-2-22-2-22-22-22-22-222-2-2-2220000-22-22-2200000000000000000000000000000000-220000-220000
χ472222-2-222-2-22-2-22-22-22-22-2-2-222-22200002-22-22-2000000000000000000000000000000002-20000-220000
χ482222-2-222-2-22-2-22-22-22-22-2-2-222-22200002-22-22-200000000000000000000000000000000-2200002-20000
χ492222-2-2-2-22222222-2-222-2-22222-2-220000-2-22-2-22000000000000000000002-22-22-2-220000000000000000
χ502222-2-2-2-22222222-2-222-2-22222-2-220000-2-22-2-2200000000000000000000-22-22-222-20000000000000000
χ512222-2-2-2-22222222-2-222-2-2-2-2-2-2-2-22000022-222-2000000000000000000002-22-2-222-20000000000000000
χ522222-2-2-2-22222222-2-222-2-2-2-2-2-2-2-22000022-222-200000000000000000000-22-222-2-220000000000000000
χ532222-2-2-2-222-2-2-2-22-2-22-222000022-2000000000000002-202-20000-22000-222-2-2200000000000000000000
χ542222-2-2-2-222-2-2-2-22-2-22-222000022-2000000000000002-20-2200002-2000-22-222-200000000000000000000
χ552222-2-2-2-222-2-2-2-22-2-22-222000022-200000000000000-2202-20000-220002-2-222-200000000000000000000
χ562222-2-2-2-222-2-2-2-22-2-22-222000022-200000000000000-220-2200002-20002-22-2-2200000000000000000000
χ572222-2-2-2-2-2-22-2-22222-222222-2-2-2-2-20000-2-2222-20000000000000000000000000000000000002i−2i00002i−2i
χ582222-2-2-2-2-2-22-2-22222-222222-2-2-2-2-20000-2-2222-2000000000000000000000000000000000000−2i2i0000−2i2i
χ592222-2-2-2-2-2-22-2-22222-2222-2-222-2-2-2000022-2-2-220000000000000000000000000000000000002i−2i0000−2i2i
χ602222-2-2-2-2-2-22-2-22222-2222-2-222-2-2-2000022-2-2-22000000000000000000000000000000000000−2i2i00002i−2i
χ6144444444-4-4-444-44-4-4-4-4440000-4-44000000000000000000000000000000000000000000000000000000
χ62444444-4-4-4-4-444-4-4-44444-40000-44-4000000000000000000000000000000000000000000000000000000
χ634444-4-444-4-4-444-4-44-444-4400004-4-4000000000000000000000000000000000000000000000000000000
χ644444-4-4-4-4-4-4-444-4444-4-4-4-40000444000000000000000000000000000000000000000000000000000000
χ654-44-400004-444-4-400000004i−4i4i−4i00000000000000000000002-2000002-200000000002i−2i2i−2i000000000000
χ664-44-400004-444-4-400000004i−4i4i−4i0000000000000000000000-2200000-220000000000−2i2i−2i2i000000000000
χ674-44-400004-444-4-40000000−4i4i−4i4i00000000000000000000002-2000002-20000000000−2i2i−2i2i000000000000
χ684-44-400004-444-4-40000000−4i4i−4i4i0000000000000000000000-2200000-2200000000002i−2i2i−2i000000000000
χ694-44-40000-444-44-400000004i−4i−4i4i00000000000000000000002-200000-2200000000002i−2i−2i2i000000000000
χ704-44-40000-444-44-400000004i−4i−4i4i0000000000000000000000-22000002-20000000000−2i2i2i−2i000000000000
χ714-44-40000-444-44-40000000−4i4i4i−4i00000000000000000000002-200000-220000000000−2i2i2i−2i000000000000
χ724-44-40000-444-44-40000000−4i4i4i−4i0000000000000000000000-22000002-200000000002i−2i−2i2i000000000000
χ7388-8-8008-800000000000000000000004i−4i000000004i−4i0000000000000000000000000000000000000000
χ7488-8-8008-80000000000000000000000−4i4i00000000−4i4i0000000000000000000000000000000000000000
χ7588-8-800-8800000000000000000000004i−4i00000000−4i4i0000000000000000000000000000000000000000
χ7688-8-800-880000000000000000000000−4i4i000000004i−4i0000000000000000000000000000000000000000
χ778-88-800008-8-8-88800000000000000000000000000000000000000000000000000000000000000000000
χ788-88-80000-88-88-8800000000000000000000000000000000000000000000000000000000000000000000
χ798-8-888-800000000000000000000004-4000000004-4000000000000000000000000000000000000000000
χ808-8-888-80000000000000000000000-4400000000-44000000000000000000000000000000000000000000
χ818-8-88-8800000000000000000000004-400000000-44000000000000000000000000000000000000000000
χ828-8-88-880000000000000000000000-44000000004-4000000000000000000000000000000000000000000

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