Finite Group Databasebeta

← Group #72266715

Character table — Group #72266715

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size111122222244888881616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232646464646464128128128128
order12222222222222222222222244444444444444444442244444444444444444444444444888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-1-1-1-1-111-1-111-1-111111-1111111-1-1-11-1-1-1-111-1-111-1-1-1-111-1-1
χ4111111111111111111111-1-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-1-11-1-1-1-111-1-1-1-11111-1-111
χ51111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111-1-1111-1-111-11-11-111-1-1-1-1-1-111
χ61111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-11-1-1111-1-111-11-11-1-1-1111111-1-1
χ71111111111111111111-1-1-1-1111111111-1-111-1-111111-11-11111-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1
χ81111111111111111111-1-1-1-1111111111-1-111-1-111111-1-1-1-1-1-11-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-11111
χ911111111111111111-1-111111-1-1-1-1-1-111-1-1-1-11111111-11-1111-11-11-1-11-11-11-1-111-1-111-1-1-111-1
χ1011111111111111111-1-111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-11-11-1-11-11-11-1-11111-1-1111-1-11
χ1111111111111111111-1-111-1-11-1-11111-1-1-1-11111-1-1111-111111-11-1-11111-11-1-1-1-1-1-1-1-1-111-11-11
χ1211111111111111111-1-111-1-11-1-11111-1-1-1-11111-1-1111-1-11-1-1-1-11-1-11111-11-1-1-1-1-11111-1-11-11-1
χ1311111111111111111-1-1-1-1111-1-11111-1-11111-1-1-1-111111-1111-1-111-1-1-111-1-1-111-1-1-1-1-1111-11-1
χ1411111111111111111-1-1-1-1111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-1-111-11111-1-1-11-11
χ1511111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111111111111-1-11-111-1-1-111-11-11-1-111-1-11-1-11
χ1611111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-11-1-1-1-1-11-111-1-1-111-11-1111-1-111-111-1
χ1722222222222222222220000-2222222-2-200-2-20022-2-2-2000000-2000000-200-2-20020000000000
χ1822222222222222222220000-222-2-2-2-222002200-2-2-2-2-2000000-20000002002-200-20000000000
χ1922222222222222222-2-20000-2-2-222222200-2-200-2-2-2-2-20000002000000-2002200-20000000000
χ2022222222222222222-2-20000-2-2-2-2-2-2-2-2-200220022-2-2-20000002000000200-220020000000000
χ212222222222222-2-2-2-2220022-2-2-2000000000000002-2200-2000-200-22-200-22020200000000000
χ222222222222222-2-2-2-22200-2-2-2-2-2000000000000002-22002000-2002-22002-2020-200000000000
χ232222222222222-2-2-2-22222002-2-200000022002200-22-2-2000002-22000-20000-2-2000000000000
χ242222222222222-2-2-2-222-2-2002-2-2000000-2-200-2-200-22-220000022-200020000-22000000000000
χ252222222222222-2-2-2-2-2-20022-222000000000000002-22002000200-2-2200-2-20-20200000000000
χ262222222222222-2-2-2-2-2-200-2-2-222000000000000002-2200-200020022-200220-20-200000000000
χ272222222222222-2-2-2-2-2-22200222000000-2-2002200-22-2200000-2-2-2000-2000022000000000000
χ282222222222222-2-2-2-2-2-2-2-2002220000002200-2-200-22-2-200000-222000200002-2000000000000
χ292222222222-2-2-22-22-2000000200000022220000-2-22-2-2-20200000-202-2000-2-202020000000000
χ302222222222-2-2-22-22-2000000200000022-2-20000-2-22-2-220-20000020-220002-20-2020000000000
χ312222222222-2-2-22-22-20000002000000-2-2220000222-2-2-20-200000-20-2200022020-20000000000
χ322222222222-2-2-22-22-20000002000000-2-2-2-20000222-2-220200000202-2000-220-20-20000000000
χ332222222222-2-2-22-22-2002222-2000000-2-20000-2-2-2-2-222000000020200-20-20200-220000000000
χ342222222222-2-2-22-22-20022-2-2-2000000220000-2-222-222000000020-200-2020-2002-20000000000
χ352222222222-2-2-22-22-200-2-222-20000002200002222-2220000000-2020020-20-200-2-20000000000
χ362222222222-2-2-22-22-200-2-2-2-2-2000000-2-2000022-2-2-2220000000-20-2002020200220000000000
χ372222222222-2-2-2-22-2200002220022-2-20022220000-2-2220000000-2-2000-22000-2-200000000000
χ382222222222-2-2-2-22-22000022200-2-22200-2-2-2-20000-2-22-200000002-2000220002-200000000000
χ392222222222-2-2-2-22-220000-2-220022-2-200-2-2220000-2-22-2000000022000-2-20002200000000000
χ402222222222-2-2-2-22-220000-2-2200-2-2220022-2-20000-2-2220000000-220002-2000-2200000000000
χ412222222222-2-2-2-22-22002200-20022-2-20000-2-2-2-20022-200-20000-20022220-2000000000000000
χ422222222222-2-2-2-22-22002200-200-2-222000022-2-20022-20020000-200-2-22-202000000000000000
χ432222222222-2-2-2-22-2200-2-200-20022-2-20000-2-2220022-20020000200-2-2-2202000000000000000
χ442222222222-2-2-2-22-2200-2-200-200-2-222000022220022-200-2000020022-2-20-2000000000000000
χ45444444-4-4-4-400040-4000000000000004i−4i000000000000202-2-2000000000000000002i−2i000000
χ46444444-4-4-4-400040-4000000000000004i−4i000000000000-20-22200000000000000000−2i2i000000
χ47444444-4-4-4-400040-400000000000000−4i4i000000000000202-2-200000000000000000−2i2i000000
χ48444444-4-4-4-400040-400000000000000−4i4i000000000000-20-222000000000000000002i−2i000000
χ494444-4-44-4-4444-4000000000004-400000000000000000020-22-20000000000000002-200000000
χ504444-4-44-4-4444-4000000000004-4000000000000000000-202-22000000000000000-2200000000
χ514444-4-44-4-4444-400000000000-4400000000000000000020-22-2000000000000000-2200000000
χ524444-4-44-4-4444-400000000000-44000000000000000000-202-220000000000000002-200000000
χ534444-4-4-444-40000-404000000000000000004-40000000020-2-2200000000000000000002-20000
χ544444-4-4-444-40000-404000000000000000004-400000000-2022-20000000000000000000-220000
χ554444-4-4-444-40000-40400000000000000000-440000000020-2-220000000000000000000-220000
χ564444-4-4-444-40000-40400000000000000000-4400000000-2022-200000000000000000002-20000
χ57888888-8-8-8-8000-8080000000000000000000000000000000000000000000000000000000000
χ588888-8-88-8-88-8-880000000000000000000000000000000000000000000000000000000000000
χ598888-8-8-888-8000080-8000000000000000000000000000000000000000000000000000000000
χ6088-8-800800-800000004-40000000004i−4i000000004i−4i0000000000000000000000000000000000
χ6188-8-800800-800000004-4000000000−4i4i00000000−4i4i0000000000000000000000000000000000
χ6288-8-800800-80000000-440000000004i−4i00000000−4i4i0000000000000000000000000000000000
χ6388-8-800800-80000000-44000000000−4i4i000000004i−4i0000000000000000000000000000000000
χ6488-8-800-80088-800000004-40000000000000004-4000000000000000000000000000000000000
χ6588-8-800-80088-80000000-44000000000000000-44000000000000000000000000000000000000
χ6688-8-800-8008-8800000004-4000000000000000-44000000000000000000000000000000000000
χ6788-8-800-8008-880000000-440000000000000004-4000000000000000000000000000000000000
χ688-8-88000-880000000000004-40004-400004-40000000000000000000000000000000000000000
χ698-8-88000-880000000000004-4000-440000-440000000000000000000000000000000000000000
χ708-8-88000-88000000000000-440004-40000-440000000000000000000000000000000000000000
χ718-8-88000-88000000000000-44000-4400004-40000000000000000000000000000000000000000
χ7216-1616-1616-1600000000000000000000000000000000000000000000000000000000000000000000
χ7316-1616-16-161600000000000000000000000000000000000000000000000000000000000000000000
χ7416-16-161600016-1600000000000000000000000000000000000000000000000000000000000000000

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