Finite Group Databasebeta

← Group #13159352

Character table — Group #13159352

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222222222224444444444444444444444444488888888888888888888888888888888888121212121212121212121212121212121212242424242424242424363636363636727272108108216
order122233333446666666666666663333666666666666121212121212121212124121212121212121212121212121212121212121212121212121212121212121212128824242424242424242424242424242424266666666882424242441212242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111111-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002-20
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-220
χ11222222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000
χ12222222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-2-2111111000000000000
χ13222222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-2111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111000000000000
χ14222222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2111111111111222-1-1-1-1-1-1000000000000
χ1522222-12-1-122-12-1-12-12-1-12-12-1-12-12-1-1-12-1-1-12-1-1-12-1-12-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1000000000000
χ1622222-12-1-122-12-1-12-12-1-12-12-1-12-12-1-1-12-1-1-12-1-1-12-1-12-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-211111111-211-2-21111000000000000
χ1722222-12-1-122-12-1-12-12-1-12-12-1-12-12-1-1-12-1-1-12-1-1-12-1-12-12-1-1-12-1-12-2-2-211-2-21111-1-122-1-1-1-11111-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-21111000000000000
χ1822222-12-1-122-12-1-12-12-1-12-12-1-12-12-1-1-12-1-1-12-1-1-12-1-12-12-1-1-12-1-12-2-2-211-2-21111-1-122-1-1-1-11111-2-2-2-211111111-2-21111-2-2-2-2111111112-1-122-1-1-1-1000000000000
χ1922222-1-12-122-1-12-12-1-12-12-1-12-12-1-12-1-1-12-1-1-12-1-1-12-12-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1000000000000
χ2022222-1-12-122-1-12-12-1-12-12-1-12-12-1-12-1-1-12-1-1-12-1-1-12-12-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-21111-21111-2-211000000000000
χ2122222-1-12-122-1-12-12-1-12-12-1-12-12-1-12-1-1-12-1-1-12-1-1-12-12-1-12-1-1-12-12-2-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-2111122-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-211000000000000
χ2222222-1-12-122-1-12-12-1-12-12-1-12-12-1-12-1-1-12-1-1-12-1-1-12-12-1-12-1-1-12-12-2-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-2-211111111-2-2-2-211112-1-1-1-122-1-1000000000000
χ2322222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122000000000000
χ2422222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-2-2111111-2-2000000000000
χ2522222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-1-1-122-2-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-2000000000000
χ2622222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-1-1-122-2-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2-2-2111111111111-2-2-2-22-1-1-1-1-1-122000000000000
χ272222-12222222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000022-1-1-1-12-1-1000
χ282222-12222222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-2-21111-211000
χ292222-12222222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000022-1-1-1-1-211000
χ302222-12222222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000-2-211112-1-1000
χ312-2-22222222-2-2-2-2-222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222222-2-2-2-2-2000000000002-22-22-22-200000000000000002i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000
χ322-2-22222222-2-2-2-2-222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222222-2-2-2-2-2000000000002-22-22-22-20000000000000000−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000
χ332-2-2222222-22-2-2-2-222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-22222200000000000-22-22-22-2200000000000000000000000000000000000000000002-222-2-2000000
χ342-2-2222222-22-2-2-2-222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-22222200000000000-22-22-22-220000000000000000000000000000000000000000000-22-2-222000000
χ352-2-2222-1-1-12-2-211122-1-1-1-2-2111-22-1-1-1-21112-1-1-1-211122-1-1-1-2111-2000003−33−33−32-2-11-11-11000033−3−333−3−333−3−32i−2i2i2i−2i−2i−i−iii−i−iii−i−iii000−i3i3−i3i3−i3i3000000000000
χ362-2-2222-1-1-12-2-211122-1-1-1-2-2111-22-1-1-1-21112-1-1-1-211122-1-1-1-2111-2000003−33−33−32-2-11-11-11000033−3−333−3−333−3−3−2i2i−2i−2i2i2iii−i−iii−i−iii−i−i000i3−i3i3−i3i3−i3000000000000
χ372-2-2222-1-1-12-2-211122-1-1-1-2-2111-22-1-1-1-21112-1-1-1-211122-1-1-1-2111-200000−33−33−332-2-11-11-110000−3−333−3−333−3−3332i−2i2i2i−2i−2i−i−iii−i−iii−i−iii000i3−i3i3−i3i3−i3000000000000
χ382-2-2222-1-1-12-2-211122-1-1-1-2-2111-22-1-1-1-21112-1-1-1-211122-1-1-1-2111-200000−33−33−332-2-11-11-110000−3−333−3−333−3−333−2i2i−2i−2i2i2iii−i−iii−i−iii−i−i000−i3i3−i3i3−i3i3000000000000
χ392-2-222-12-1-12-21-2112-12-1-1-21-211-2-12-1-11-211-12-1-11-2112-12-1-11-211-20003−3003−3−33-112-2-11-1133−3−3000033−3−3−3−3332i−2i−i−iii2i2i−2i−2i−i−iii−i−iii0−i3i300−i3i3i3−i3000000000000
χ402-2-222-12-1-12-21-2112-12-1-1-21-211-2-12-1-11-211-12-1-11-2112-12-1-11-211-20003−3003−3−33-112-2-11-1133−3−3000033−3−3−3−333−2i2iii−i−i−2i−2i2i2iii−i−iii−i−i0i3−i300i3−i3−i3i3000000000000
χ412-2-222-12-1-12-21-2112-12-1-1-21-211-2-12-1-11-211-12-1-11-2112-12-1-11-211-2000−3300−333−3-112-2-11-11−3−3330000−3−33333−3−32i−2i−i−iii2i2i−2i−2i−i−iii−i−iii0i3−i300i3−i3−i3i3000000000000
χ422-2-222-12-1-12-21-2112-12-1-1-21-211-2-12-1-11-211-12-1-11-2112-12-1-11-211-2000−3300−333−3-112-2-11-11−3−3330000−3−33333−3−3−2i2iii−i−i−2i−2i2i2iii−i−iii−i−i0−i3i300−i3i3i3−i3000000000000
χ432-2-222-1-12-12-211-212-1-12-1-211-21-2-1-12-111-21-1-12-111-212-1-12-111-21-20003−3−33003−3-11-112-2-1133−3−3−3−333000033−3−32i−2i−i−iii−i−iii2i2i−2i−2i−i−iii0−i3i3i3−i300−i3i3000000000000
χ442-2-222-1-12-12-211-212-1-12-1-211-21-2-1-12-111-21-1-12-111-212-1-12-111-21-20003−3−33003−3-11-112-2-1133−3−3−3−333000033−3−3−2i2iii−i−iii−i−i−2i−2i2i2iii−i−i0i3−i3−i3i300i3−i3000000000000
χ452-2-222-1-12-12-211-212-1-12-1-211-21-2-1-12-111-21-1-12-111-212-1-12-111-21-2000−333−300−33-11-112-2-11−3−33333−3−30000−3−3332i−2i−i−iii−i−iii2i2i−2i−2i−i−iii0i3−i3−i3i300i3−i3000000000000
χ462-2-222-1-12-12-211-212-1-12-1-211-21-2-1-12-111-21-1-12-111-212-1-12-111-21-2000−333−300−33-11-112-2-11−3−33333−3−30000−3−333−2i2iii−i−iii−i−i−2i−2i2i2iii−i−i0−i3i3i3−i300−i3i3000000000000
χ472-2-222-1-1-122-2111-22-1-1-12-2111-2-2-1-1-12111-2-1-1-12111-22-1-1-12111-2-20003−33−3−3300-11-11-112-233−3−333−3−3−3−33300002i−2i−i−iii−i−iii−i−iii2i2i−2i−2i0−i3i3−i3i3i3−i300000000000000
χ482-2-222-1-1-122-2111-22-1-1-12-2111-2-2-1-1-12111-2-1-1-12111-22-1-1-12111-2-20003−33−3−3300-11-11-112-233−3−333−3−3−3−3330000−2i2iii−i−iii−i−iii−i−i−2i−2i2i2i0i3−i3i3−i3−i3i300000000000000
χ492-2-222-1-1-122-2111-22-1-1-12-2111-2-2-1-1-12111-2-1-1-12111-22-1-1-12111-2-2000−33−333−300-11-11-112-2−3−333−3−33333−3−300002i−2i−i−iii−i−iii−i−iii2i2i−2i−2i0i3−i3i3−i3−i3i300000000000000
χ502-2-222-1-1-122-2111-22-1-1-12-2111-2-2-1-1-12111-2-1-1-12111-22-1-1-12111-2-2000−33−333−300-11-11-112-2−3−333−3−33333−3−30000−2i2iii−i−iii−i−iii−i−i−2i−2i2i2i0−i3i3−i3i3i3−i300000000000000
χ512-2-22-12222-22-2-2-2-2-122221-2-2-2-21-1-1-1-11111-1-1-1-111111-2-2-2-22222-103−3000000001-11-11-11-13−33−33−33−33−33−33−33−30000000000000000000000000002-2-1-11103−3000
χ522-2-22-12222-22-2-2-2-2-122221-2-2-2-21-1-1-1-11111-1-1-1-111111-2-2-2-22222-103−3000000001-11-11-11-13−33−33−33−33−33−33−33−3000000000000000000000000000-2211-1-10−33000
χ532-2-22-12222-22-2-2-2-2-122221-2-2-2-21-1-1-1-11111-1-1-1-111111-2-2-2-22222-10−33000000001-11-11-11-1−33−33−33−33−33−33−33−330000000000000000000000000002-2-1-1110−33000
χ542-2-22-12222-22-2-2-2-2-122221-2-2-2-21-1-1-1-11111-1-1-1-111111-2-2-2-22222-10−33000000001-11-11-11-1−33−33−33−33−33−33−33−33000000000000000000000000000-2211-1-103−3000
χ55444444-2-2-2-4-44-2-2-244-2-2-244-2-2-244-2-2-24-2-2-24-2-2-24-2-2-2-4-4222-4222-400000000000-4-42222220000000000000000000000000000000000000000000000000000000
χ5644444-24-2-2-4-4-24-2-24-24-2-24-24-2-24-24-2-2-24-2-2-24-2-2-24-2-2-42-4222-422-40000000000022-4-422220000000000000000000000000000000000000000000000000000000
χ5744444-2-24-2-4-4-2-24-24-2-24-24-2-24-24-2-24-2-2-24-2-2-24-2-2-24-2-422-4222-42-4000000000002222-4-4220000000000000000000000000000000000000000000000000000000
χ5844444-2-2-24-4-4-2-2-244-2-2-244-2-2-244-2-2-24-2-2-24-2-2-24-2-2-24-4222-4222-4-400000000000222222-4-40000000000000000000000000000000000000000000000000000000
χ594444-24444-4-44444-24444-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-4-4-4-4-4-4-4-4200000000000222222220000000000000000000000000000000000000000000000000000000
χ604444-24-2-2-2444-2-2-2-24-2-2-2-24-2-2-2-2-2111-2111-2111-2111-24-2-2-24-2-2-2-24-2-244-2-2-2-2-2-2-2-2111111-2-2-2-2111111111111000000000000000000000000000000000000000
χ614444-24-2-2-2444-2-2-2-24-2-2-2-24-2-2-2-2-2111-2111-2111-2111-24-2-2-24-2-2-2-2-422-4-4222222-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ624444-24-2-2-2-4-44-2-2-2-24-2-2-2-24-2-2-2-2-2111-2111-2111-21112-4222-422220000000000022-1-1-1-1-1-100003-3-333-3-333-3-33000000000000000000000000000000000000000
χ634444-24-2-2-2-4-44-2-2-2-24-2-2-2-24-2-2-2-2-2111-2111-2111-21112-4222-422220000000000022-1-1-1-1-1-10000-333-3-333-3-333-3000000000000000000000000000000000000000
χ644444-2-24-2-244-24-2-2-2-24-2-2-2-24-2-2-21-2111-2111-2111-211-2-24-2-2-24-2-2-24-2-2-2-244-2-2-2-211-2-211111111-2-2-2-211111111000000000000000000000000000000000000000
χ654444-2-24-2-244-24-2-2-2-24-2-2-2-24-2-2-21-2111-2111-2111-211-2-24-2-2-24-2-2-2-42222-4-4222211-2-21111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ664444-2-24-2-2-4-4-24-2-2-2-24-2-2-2-24-2-2-21-2111-2111-2111-21122-4222-422200000000000-1-122-1-1-1-13-3-3300003-3-33-333-3000000000000000000000000000000000000000
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χ11988-8-8-48-4-4-400-84444-8444-48-4-4-44-42224-2-2-24-2-2-2-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-48-4-4004-84444-844-4-48-4-442-422-24-2-2-24-2-22-422000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4-48-40044-84444-84-4-4-48-4422-42-2-24-2-2-24-222-42000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8-4-4-4-4800444-84444-8-4-4-4-484222-4-2-2-24-2-2-24222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-48-4-4-4008-4-4-44-84444-8444-4-4222-42224-2-2-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1258-88-8-4-4-48-400-4-48-4444-84444-84-422-4222-42-2-24-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4-4800-4-4-484444-84444-8-4222-4222-4-2-2-24-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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