Finite Group Databasebeta

← Group #13159309

Character table — Group #13159309

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222222222222444444444444444444444444444488888888888888888888888888888888881212121212121212121212121212121212122424242424242424243636363636365454727272108108108
order12223333344666666666666666333344666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288242424242424242424242424242424244121212121212121288242424244441212224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ5111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11
χ6111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1
χ7111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1
χ8111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111111-1-11
χ9222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000002200000-2
χ10222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000-2-2000002
χ1122222222-1222222-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000022-1-1-1-1002-1-1000
χ1222222222-1222222-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-2-2111100-211000
χ1322222222-1222222-12222-12222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000022-1-1-1-100-211000
χ1422222222-1222222-12222-12222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000-2-21111002-1-1000
χ1522222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000000000000
χ1622222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-2-211111100000000000000
χ1722222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2-2111111-2-222-1-1-1-1-1-1-2-2-2-2111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111100000000000000
χ1822222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2-2111111-2-222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2111111111111222-1-1-1-1-1-100000000000000
χ192222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-12-1-12-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-100000000000000
χ202222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-12-1-12-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-211111111-211-2-2111100000000000000
χ212222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-12-12-1-1211-2-21111-2-2-1-122-1-1-1-11111-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-2111100000000000000
χ222222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-12-12-1-1211-2-21111-2-2-1-122-1-1-1-11111-2-2-2-211111111-2-21111-2-2-2-2111111112-1-122-1-1-1-100000000000000
χ232222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-100000000000000
χ242222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-21111-21111-2-21100000000000000
χ252222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-12-1-12-121111-2-211-2-2-1-1-1-122-1-111111111-2-2-2-2111122-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-21100000000000000
χ262222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-12-1-12-121111-2-211-2-2-1-1-1-122-1-111111111-2-2-2-21111-2-211111111-2-2-2-211112-1-1-1-122-1-100000000000000
χ272222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-12200000000000000
χ282222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-2-2111111-2-200000000000000
χ292222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122111111-2-2-2-2-1-1-1-1-1-122111111111111-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-200000000000000
χ302222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122111111-2-2-2-2-1-1-1-1-1-122111111111111-2-2-2-2-2-2111111111111-2-2-2-22-1-1-1-1-1-12200000000000000
χ3122-2-2222222-222222-2-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-222222-2-2-2-2-200000000002-22-22-22-20000000000000000000000000000000000000000000000000000002-20
χ3222-2-2222222-222222-2-2-2-2-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-222222-2-2-2-2-200000000002-22-22-22-2000000000000000000000000000000000000000000000000000000-220
χ3322-2-222222-2222222-2-2-2-2-2-2-2-2-2-222222i−2i-2-2-2-22222-2-2-2-2-2-2-2-2-2222222i−2i2i−2i2i−2i2i−2i2i−2i-22-22-22-222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ3422-2-222222-2222222-2-2-2-2-2-2-2-2-2-22222−2i2i-2-2-2-22222-2-2-2-2-2-2-2-2-222222−2i2i−2i2i−2i2i−2i2i−2i2i-22-22-22-22−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ3522-2-22222-1-222222-1-2-2-2-21-2-2-2-21-1-1-1-12i−2i1111-1-1-1-11111-2-2-2-212222-12i−2i2i−2i2i−2i2i−2i−ii1-11-11-11-1−i−iii−i−iii−i−iii−i−iii00000000000000000000000000000−i3−i3i3i30003−3000
χ3622-2-22222-1-222222-1-2-2-2-21-2-2-2-21-1-1-1-12i−2i1111-1-1-1-11111-2-2-2-212222-12i−2i2i−2i2i−2i2i−2i−ii1-11-11-11-1−i−iii−i−iii−i−iii−i−iii00000000000000000000000000000i3i3−i3−i3000−33000
χ3722-2-22222-1-222222-1-2-2-2-21-2-2-2-21-1-1-1-1−2i2i1111-1-1-1-11111-2-2-2-212222-1−2i2i−2i2i−2i2i−2i2ii−i1-11-11-11-1ii−i−iii−i−iii−i−iii−i−i00000000000000000000000000000−i3−i3i3i3000−33000
χ3822-2-22222-1-222222-1-2-2-2-21-2-2-2-21-1-1-1-1−2i2i1111-1-1-1-11111-2-2-2-212222-1−2i2i−2i2i−2i2i−2i2ii−i1-11-11-11-1ii−i−iii−i−iii−i−iii−i−i00000000000000000000000000000i3i3−i3−i30003−3000
χ3922-2-22-1-1-12-222-1-1-12-2111-2-2111-22-1-1-12i−2i-21112-1-1-1-2111-2111-22-1-1-122i−2i−ii−ii−ii2i−2i-221-11-11-12i2i−2i−2i−i−iii−i−iii−i−iii000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30003−33−33−300000000000000
χ4022-2-22-1-1-12-222-1-1-12-2111-2-2111-22-1-1-12i−2i-21112-1-1-1-2111-2111-22-1-1-122i−2i−ii−ii−ii2i−2i-221-11-11-12i2i−2i−2i−i−iii−i−iii−i−iii000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000−33−33−3300000000000000
χ4122-2-22-1-1-12-222-1-1-12-2111-2-2111-22-1-1-1−2i2i-21112-1-1-1-2111-2111-22-1-1-12−2i2ii−ii−ii−i−2i2i-221-11-11-1−2i−2i2i2iii−i−iii−i−iii−i−i000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000−33−33−3300000000000000
χ4222-2-22-1-1-12-222-1-1-12-2111-2-2111-22-1-1-1−2i2i-21112-1-1-1-2111-2111-22-1-1-12−2i2ii−ii−ii−i−2i2i-221-11-11-1−2i−2i2i2iii−i−iii−i−iii−i−i000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30003−33−33−300000000000000
χ4322-2-2-12-1-12-22-12-1-121-211-21-211-2-12-1-12i−2i1-211-12-1-11-2111-211-2-12-1-12−ii2i−2i−ii−ii2i−2i1-1-221-11-1−i−iii2i2i−2i−2i−i−iii−i−iii00−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i303−3003−3−3300000000000000
χ4422-2-2-12-1-12-22-12-1-121-211-21-211-2-12-1-12i−2i1-211-12-1-11-2111-211-2-12-1-12−ii2i−2i−ii−ii2i−2i1-1-221-11-1−i−iii2i2i−2i−2i−i−iii−i−iii00i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i30−3300−333−300000000000000
χ4522-2-2-12-1-12-22-12-1-121-211-21-211-2-12-1-1−2i2i1-211-12-1-11-2111-211-2-12-1-12i−i−2i2ii−ii−i−2i2i1-1-221-11-1ii−i−i−2i−2i2i2iii−i−iii−i−i00−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i30−3300−333−300000000000000
χ4622-2-2-12-1-12-22-12-1-121-211-21-211-2-12-1-1−2i2i1-211-12-1-11-2111-211-2-12-1-12i−i−2i2ii−ii−i−2i2i1-1-221-11-1ii−i−i−2i−2i2i2iii−i−iii−i−i00i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i303−3003−3−3300000000000000
χ4722-2-2-1-12-12-22-1-12-1211-21-211-21-2-1-12-12i−2i11-21-1-12-111-2111-21-2-1-12-12−ii−ii2i−2i−ii2i−2i1-11-1-221-1−i−iii−i−iii2i2i−2i−2i−i−iii00−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i303−3−33003−300000000000000
χ4822-2-2-1-12-12-22-1-12-1211-21-211-21-2-1-12-12i−2i11-21-1-12-111-2111-21-2-1-12-12−ii−ii2i−2i−ii2i−2i1-11-1-221-1−i−iii−i−iii2i2i−2i−2i−i−iii00i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i30−333−300−3300000000000000
χ4922-2-2-1-12-12-22-1-12-1211-21-211-21-2-1-12-1−2i2i11-21-1-12-111-2111-21-2-1-12-12i−ii−i−2i2ii−i−2i2i1-11-1-221-1ii−i−iii−i−i−2i−2i2i2iii−i−i00−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i30−333−300−3300000000000000
χ5022-2-2-1-12-12-22-1-12-1211-21-211-21-2-1-12-1−2i2i11-21-1-12-111-2111-21-2-1-12-12i−ii−i−2i2ii−i−2i2i1-11-1-221-1ii−i−iii−i−i−2i−2i2i2iii−i−i00i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i303−3−33003−300000000000000
χ5122-2-2-1-1-122-22-1-1-122111-2-2111-2-2-1-1-122i−2i111-2-1-1-12111-2111-2-2-1-1-122−ii−ii−ii2i−2i2i−2i1-11-11-1-22−i−iii−i−iii−i−iii2i2i−2i−2i00−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000003−33−3−330000000000000000
χ5222-2-2-1-1-122-22-1-1-122111-2-2111-2-2-1-1-122i−2i111-2-1-1-12111-2111-2-2-1-1-122−ii−ii−ii2i−2i2i−2i1-11-11-1-22−i−iii−i−iii−i−iii2i2i−2i−2i00i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000−33−333−30000000000000000
χ5322-2-2-1-1-122-22-1-1-122111-2-2111-2-2-1-1-12−2i2i111-2-1-1-12111-2111-2-2-1-1-122i−ii−ii−i−2i2i−2i2i1-11-11-1-22ii−i−iii−i−iii−i−i−2i−2i2i2i00−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000−33−333−30000000000000000
χ5422-2-2-1-1-122-22-1-1-122111-2-2111-2-2-1-1-12−2i2i111-2-1-1-12111-2111-2-2-1-1-122i−ii−ii−i−2i2i−2i2i1-11-11-1-22ii−i−iii−i−iii−i−i−2i−2i2i2i00i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000003−33−3−330000000000000000
χ552-22-22222200-2-2-2-2-222222-2-2-2-2-2222200-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000−i2i2−i2i2−i2i22-2000000
χ562-22-22222200-2-2-2-2-222222-2-2-2-2-2222200-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000i2−i2i2−i2i2−i2-22000000
χ572-22-22222200-2-2-2-2-222222-2-2-2-2-2222200-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000−i2i2−i2i2−i2i2-22000000
χ582-22-22222200-2-2-2-2-222222-2-2-2-2-2222200-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000i2−i2i2−i2i2−i22-2000000
χ5944444444-2-4-44444-24444-24444-2-2-2-2-200-2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-42-4-4-4-42000000000022222222000000000000000000000000000000000000000000000000000000000
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χ1014-44-44444-200-4-4-4-424444-2-4-4-4-42-2-2-2-20022222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000−2i22i2i2−i2i2−i200000000
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χ1124-4-444444-200-4-4-4-42-4-4-4-424444-2-2-2-2-200-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000000000006−6−6600000000
χ1134-4-444444-200-4-4-4-42-4-4-4-424444-2-2-2-2-200-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000000000000−666−600000000
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χ1228-88-88-4-4-4-400-844448-4-4-4-4-84444-4222004-2-2-24-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-48-4-4-4004-8444-48-4-4-44-84442-42200-24-2-2-24-2-22-4220000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1298-8-88-4-4-48-400444-84444-84-4-4-48-4222-400222-4-2-2-24-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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