Finite Group Databasebeta

← Group #10594382

Character table — Group #10594382

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order1222334466666634466612121212121212122244444412121212121212121212121222446612121212121212124466244
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111111-1-111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-1-1
χ6111111111111111-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-11111-1-1-1-1-111
χ7111111111111111-1-111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111-111
χ8111111111111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1
χ9111111-1-111111111-1111-1-111-1-1-1-1111111-1-111111-1-1-111-1-11-1-1-111-1-1-1-111-1-1111-1-11-1
χ10111111-1-111111111-1111-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-1-11-11-111-1-111-1-111-1-11-11-11
χ11111111-1-111111111-1111-1-111-1-1-1-1-1-11111-1-111111-1-1-111-1-1-11-11-1-111-1-111-1-1-1-1-111-11
χ12111111-1-111111111-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1111-1-11111-1-11111-11-11-1
χ13111111-1-11111111-11111-1-1-1-111-1-11111-1-1111111-11-1-1-1-111-11-1-111-1-1-1-1-1-11111-11-1-11
χ14111111-1-11111111-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-111-111-111-1-11111-1-1-1-1-1111-1
χ15111111-1-11111111-11111-1-1-1-111-1-1-1-111-1-1111111-11-1-1-1-1111-1-11-1-111-1-1-1-111-1-11-111-1
χ16111111-1-11111111-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1111-111-1-1111111-1-1111-1-1-11
χ1722222-122-1-12-122-122-1-1-1-1-1222222220000000000-1-1-1-1-1-1-1-12202-1-1-1-100000000-1-1000
χ1822222-122-1-12-122-122-1-1-1-1-1222222-2-20000000000-1-1-1-1-1-1-1-1-2-20-211110000000011000
χ1922222-122-1-12-122-1-2-2-1-1-1-1-1-2-2-2-22222000000000011-1-11111-2-202-1-1-1-10000000011000
χ2022222-122-1-12-122-1-2-2-1-1-1-1-1-2-2-2-222-2-2000000000011-1-11111220-2111100000000-1-1000
χ2122222-1-2-2-1-12-122-12-2-1-1-11122-2-2-2-2220000000000-1111-1-1112-20-2-1-11100000000-11000
χ2222222-1-2-2-1-12-122-12-2-1-1-11122-2-2-2-2-2-20000000000-1111-1-111-220211-1-1000000001-1000
χ2322222-1-2-2-1-12-122-1-22-1-1-111-2-222-2-22200000000001-11111-1-1-220-2-1-111000000001-1000
χ2422222-1-2-2-1-12-122-1-22-1-1-111-2-222-2-2-2-200000000001-11111-1-12-20211-1-100000000-11000
χ252222-122222-12-1-1-122-1-1-122-1-1-1-1-1-100222222-1-1-1-122-1-1-1-1-1-100200000-1-1-1-1-1-10000000
χ262222-122222-12-1-1-122-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2111122-1-1-1-1-1-100-2000001111110000000
χ272222-122222-12-1-1-1-2-2-1-1-1221111-1-10022-2-2-2-2-1-1-1-1-2-2-1-1111100200000-1-111110000000
χ282222-122222-12-1-1-1-2-2-1-1-1221111-1-100-2-222221111-2-2-1-1111100-20000011-1-1-1-10000000
χ292222-12-2-222-12-1-1-12-2-1-1-1-2-2-1-11111002222-2-2-1-1-1-12-211-1-11100-20000011-1-1110000000
χ302222-12-2-222-12-1-1-12-2-1-1-1-2-2-1-1111100-2-2-2-22211112-211-1-11100200000-1-111-1-10000000
χ312222-12-2-222-12-1-1-1-22-1-1-1-2-211-1-1110022-2-222-1-1-1-1-221111-1-100-2000001111-1-10000000
χ322222-12-2-222-12-1-1-1-22-1-1-1-2-211-1-11100-2-222-2-21111-221111-1-100200000-1-1-1-1110000000
χ332-22-22200-22-2-22-2200-2-22000000002-22i−2i00002i2i−2i−2i0000000000002-2000000002i−2i00000
χ342-22-22200-22-2-22-2200-2-22000000002-2−2i2i0000−2i−2i2i2i0000000000002-200000000−2i2i00000
χ352-22-22200-22-2-22-2200-2-2200000000-222i−2i00002i2i−2i−2i000000000000-2200000000−2i2i00000
χ362-22-22200-22-2-22-2200-2-2200000000-22−2i2i0000−2i−2i2i2i000000000000-22000000002i−2i00000
χ372-2-22222-2-2-2-22-22200-22-22-200002-200002-22-20000002-2000000000000002-22-20000000
χ382-2-22222-2-2-2-22-22200-22-22-200002-20000-22-220000002-200000000000000-22-220000000
χ392-2-2222-22-2-2-22-22200-22-2-220000-2200002-2-22000000-22000000000000002-2-220000000
χ402-2-2222-22-2-2-22-22200-22-2-220000-220000-222-2000000-2200000000000000-222-20000000
χ412-2-22-122-2-2-2121-1-1001-112-23−33−3-1100002-22-23−33−300-113−33−3000000003−3-11-110000000
χ422-2-22-122-2-2-2121-1-1001-112-23−33−3-110000-22-22−33−3300-113−33−300000000−331-11-10000000
χ432-2-22-122-2-2-2121-1-1001-112-2−33−33-1100002-22-2−33−3300-11−33−3300000000−33-11-110000000
χ442-2-22-122-2-2-2121-1-1001-112-2−33−33-110000-22-223−33−300-11−33−33000000003−31-11-10000000
χ452-2-22-12-22-2-2121-1-1001-11-223−3−331-100002-2-223−33−3001-13−3−3300000000−33-111-10000000
χ462-2-22-12-22-2-2121-1-1001-11-223−3−331-10000-222-2−33−33001-13−3−33000000003−31-1-110000000
χ472-2-22-12-22-2-2121-1-1001-11-22−333−31-100002-2-22−33−33001-1−333−3000000003−3-111-10000000
χ482-2-22-12-22-2-2121-1-1001-11-22−333−31-10000-222-23−33−3001-1−333−300000000−331-1-110000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-21-4-4111-2-22222-2-20000000000002211-1-1-1-1000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-214-411122-2-22222000000000000-22-1-111-1-1000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-441112222-2-2220000000000002-2-1-1-1-111000000000000000000000
χ5344-4-444004-44-4-4-44004-4-40000000000000000000000000000000000000000000000000
χ5444-4-44-200-2242-4-4-200-222000000000000000000000000000000000023−230000000000000
χ5544-4-44-200-2242-4-4-200-2220000000000000000000000000000000000−23230000000000000
χ5644-4-4-24004-4-2-422-200-2220000000000000000−2i32i32i3−2i300000000000000000000000000000
χ5744-4-4-24004-4-2-422-200-22200000000000000002i3−2i3−2i32i300000000000000000000000000000
χ584-44-44-2002-2-424-4-20022-2000000004-40000000000000000000000-22000000000000000
χ594-44-44-2002-2-424-4-20022-200000000-4400000000000000000000002-2000000000000000
χ604-44-4-2400-442-4-22-20022-200000000004i−4i0000−2i−2i2i2i00000000000000000000000000000
χ614-44-4-2400-442-4-22-20022-20000000000−4i4i00002i2i−2i−2i00000000000000000000000000000
χ624-4-444-24-422-4-2-44-2002-22-2200004-400000000000000-220000000000000000000000000
χ634-4-444-2-4422-4-2-44-2002-222-20000-44000000000000002-20000000000000000000000000
χ644-4-44-2-24-4222-22-2100-11-1-2223−2323−23-22000000000000001-1−33−33000000000000000000000
χ654-4-44-2-24-4222-22-2100-11-1-22−2323−2323-22000000000000001-13−33−3000000000000000000000
χ664-4-44-2-2-44222-22-2100-11-12-223−23−23232-200000000000000-11−333−3000000000000000000000
χ674-4-44-2-2-44222-22-2100-11-12-2−232323−232-200000000000000-113−3−33000000000000000000000
χ6888-8-8-4-400-44-44442002-2-20000000000000000000000000000000000000000000000000
χ698-88-8-4-4004-444-44200-2-220000000000000000000000000000000000000000000000000

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