Finite Group Databasebeta

← Group #13147837

Character table — Group #13147837

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order122244443444466612121212121212123366666612121212121212121212121212121212366612121212121212121212121212121212224444446666121212121212121212121212224444446666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-1-1-1111111
χ5111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-111-111-1-111-1-1-1-11111-1-1
χ6111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-11-1-111-1-11111-1-1-1-111
χ7111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111
χ8111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-111111111-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-11-11-1-11111-1-111-1-111-1-1-1-1
χ101111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-11-111-1-1-1-111-1-111-1-11111
χ111111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11-1-11111-1-1-1-111-1-1-1-11111
χ121111-1-1-1-1111-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-111-1-1-1-11111-1-11111-1-1-1-1
χ131111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111-1111-1-1-1-1-1-11111-1-111
χ141111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-1-11-1-1-1111111-1-1-1-111-1-1
χ151111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-11-11-11111-1-1-1-111-1-111-1-1
χ161111-1-1-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-11-1-1-1-11111-1-111-1-111
χ172222222222222222222222222-1222-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000200022200-1-1000000-1-1-1-1-1-1
χ182222222222222222222222222-1222-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000-2000-2-2-20011000000111111
χ19222222222222222222222222-12-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ20222222222222222222222222-12-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ21222222222-2-2-2-22222222-2-2-2-22-1222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111111100000000000000000000000002000-2-2200-1-10000001111-1-1
χ22222222222-2-2-2-22222222-2-2-2-22-1222-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-1111111110000000000000000000000000-200022-20011000000-1-1-1-111
χ23222222222-2-2-2-22222222-2-2-2-2-12-1-1-1222-1-1-1-1222211111111-1-1-1-1-2-2-2-2-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ24222222222-2-2-2-22222222-2-2-2-2-12-1-1-1222-1-1-1-1222211111111-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ252222-2-2-2-2222-2-2222-2-2-2-222-2-22-1222-1-1-1-2-2-2-211112222-2-2-2-2-1-1-1-1-1-1111111-1-1-1-11111000000000000000000000000020002-2-200-1-1000000-1-11111
χ262222-2-2-2-2222-2-2222-2-2-2-222-2-22-1222-1-1-1-2-2-2-211112222-2-2-2-2-1-1-1-1-1-1111111-1-1-1-111110000000000000000000000000-2000-222001100000011-1-1-1-1
χ272222-2-2-2-2222-2-2222-2-2-2-222-2-2-12-1-1-12221111-2-2-2-2-1-1-1-11111-1-1-1-122-2-21111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ282222-2-2-2-2222-2-2222-2-2-2-222-2-2-12-1-1-12221111-2-2-2-2-1-1-1-11111-1-1-1-122-2-21111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ292222-2-2-2-22-2-222222-2-2-2-2-2-2222-1222-1-1-1-2-2-2-21111-2-2-2-22222-1-1-1-111-1-111111111-1-1-1-100000000000000000000000002000-22-200-1-100000011-1-111
χ302222-2-2-2-22-2-222222-2-2-2-2-2-2222-1222-1-1-1-2-2-2-21111-2-2-2-22222-1-1-1-111-1-111111111-1-1-1-10000000000000000000000000-20002-220011000000-1-111-1-1
χ312222-2-2-2-22-2-222222-2-2-2-2-2-222-12-1-1-12221111-2-2-2-21111-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ322222-2-2-2-22-2-222222-2-2-2-2-2-222-12-1-1-12221111-2-2-2-21111-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ3322-2-222-2-222i−2i2i−2i2-2-222-2-22i−2i2i−2i222-2-22-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ3422-2-222-2-222i−2i2i−2i2-2-222-2-22i−2i2i−2i2-12-2-2-11122-2-2-1-1112i2i−2i−2i2i2i−2i−2i-1-111−ii−ii-1-111−i−iii−i−iii0000000000000000000000000000000000−i3i30000003−33−3−i3i3
χ3522-2-222-2-222i−2i2i−2i2-2-222-2-22i−2i2i−2i2-12-2-2-11122-2-2-1-1112i2i−2i−2i2i2i−2i−2i-1-111−ii−ii-1-111−i−iii−i−iii0000000000000000000000000000000000i3−i3000000−33−33i3−i3
χ3622-2-222-2-222i−2i2i−2i2-2-222-2-22i−2i2i−2i-12-1112-2-2-1-11122-2-2−i−iii−i−iii-1-1112i−2i2i−2i-1-111−i−iii−i−iii00000000−i3−i3i3i3−i3−i3i3i333−3−333−3−3000000000000000000000000
χ3722-2-222-2-222i−2i2i−2i2-2-222-2-22i−2i2i−2i-12-1112-2-2-1-11122-2-2−i−iii−i−iii-1-1112i−2i2i−2i-1-111−i−iii−i−iii00000000i3i3−i3−i3i3i3−i3−i3−3−333−3−333000000000000000000000000
χ3822-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i2i−2i2i222-2-22-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ3922-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i2i−2i2i2-12-2-2-11122-2-2-1-111−2i−2i2i2i−2i−2i2i2i-1-111i−ii−i-1-111ii−i−iii−i−i0000000000000000000000000000000000−i3i3000000−33−33−i3i3
χ4022-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i2i−2i2i2-12-2-2-11122-2-2-1-111−2i−2i2i2i−2i−2i2i2i-1-111i−ii−i-1-111ii−i−iii−i−i0000000000000000000000000000000000i3−i30000003−33−3i3−i3
χ4122-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i2i−2i2i-12-1112-2-2-1-11122-2-2ii−i−iii−i−i-1-111−2i2i−2i2i-1-111ii−i−iii−i−i00000000−i3−i3i3i3−i3−i3i3i3−3−333−3−333000000000000000000000000
χ4222-2-222-2-22−2i2i−2i2i2-2-222-2-2−2i2i−2i2i-12-1112-2-2-1-11122-2-2ii−i−iii−i−i-1-111−2i2i−2i2i-1-111ii−i−iii−i−i00000000i3i3−i3−i3i3i3−i3−i333−3−333−3−3000000000000000000000000
χ4322-2-2-2-22222i−2i−2i2i2-2-2-2-2222i−2i−2i2i222-2-22-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i22-2-22i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ4422-2-2-2-22222i−2i−2i2i2-2-2-2-2222i−2i−2i2i2-12-2-2-111-2-22211-1-12i2i−2i−2i−2i−2i2i2i-1-111−iii−i11-1-1−i−iiiii−i−i0000000000000000000000000000000000−i3i30000003−3−33i3−i3
χ4522-2-2-2-22222i−2i−2i2i2-2-2-2-2222i−2i−2i2i2-12-2-2-111-2-22211-1-12i2i−2i−2i−2i−2i2i2i-1-111−iii−i11-1-1−i−iiiii−i−i0000000000000000000000000000000000i3−i3000000−333−3−i3i3
χ4622-2-2-2-22222i−2i−2i2i2-2-2-2-2222i−2i−2i2i-12-1112-2-211-1-1-2-222−i−iiiii−i−i-1-1112i−2i−2i2i11-1-1−i−iiiii−i−i00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−333000000000000000000000000
χ4722-2-2-2-22222i−2i−2i2i2-2-2-2-2222i−2i−2i2i-12-1112-2-211-1-1-2-222−i−iiiii−i−i-1-1112i−2i−2i2i11-1-1−i−iiiii−i−i00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−3000000000000000000000000
χ4822-2-2-2-2222−2i2i2i−2i2-2-2-2-222−2i2i2i−2i222-2-22-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i22-2-2−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4922-2-2-2-2222−2i2i2i−2i2-2-2-2-222−2i2i2i−2i2-12-2-2-111-2-22211-1-1−2i−2i2i2i2i2i−2i−2i-1-111i−i−ii11-1-1ii−i−i−i−iii0000000000000000000000000000000000−i3i3000000−333−3i3−i3
χ5022-2-2-2-2222−2i2i2i−2i2-2-2-2-222−2i2i2i−2i2-12-2-2-111-2-22211-1-1−2i−2i2i2i2i2i−2i−2i-1-111i−i−ii11-1-1ii−i−i−i−iii0000000000000000000000000000000000i3−i30000003−3−33−i3i3
χ5122-2-2-2-2222−2i2i2i−2i2-2-2-2-222−2i2i2i−2i-12-1112-2-211-1-1-2-222ii−i−i−i−iii-1-111−2i2i2i−2i11-1-1ii−i−i−i−iii00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−3000000000000000000000000
χ5222-2-2-2-2222−2i2i2i−2i2-2-2-2-222−2i2i2i−2i-12-1112-2-211-1-1-2-222ii−i−i−i−iii-1-111−2i2i2i−2i11-1-1ii−i−i−i−iii00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−333000000000000000000000000
χ532-22-22i−2i2i−2i20000-22-22i−2i2i−2i000022-22-2-22-22i−2i2i−2i2i−2i2i−2i000000002-22-200002i−2i2i−2i0000000000002-22i−2i000000002-22-22i−2i2i−2i000000000000000000000000
χ542-22-22i−2i2i−2i20000-22-22i−2i2i−2i000022-22-2-22-22i−2i2i−2i2i−2i2i−2i000000002-22-200002i−2i2i−2i000000000000-22−2i2i00000000-22-22−2i2i−2i2i000000000000000000000000
χ552-22-22i−2i2i−2i20000-22-22i−2i2i−2i0000-121-11-22-2−ii−ii2i−2i2i−2i−i3i3−i3i33−33−3-11-110000−ii−ii−i3i3−i3i33−33−300002-22i−2i−i3i3−i3i33−33−3-11-11−ii−ii000000000000000000000000
χ562-22-22i−2i2i−2i20000-22-22i−2i2i−2i0000-121-11-22-2−ii−ii2i−2i2i−2i−i3i3−i3i33−33−3-11-110000−ii−ii−i3i3−i3i33−33−30000-22−2i2ii3−i3i3−i3−33−331-11-1i−ii−i000000000000000000000000
χ572-22-22i−2i2i−2i20000-22-22i−2i2i−2i0000-121-11-22-2−ii−ii2i−2i2i−2ii3−i3i3−i3−33−33-11-110000−ii−iii3−i3i3−i3−33−3300002-22i−2ii3−i3i3−i3−33−33-11-11−ii−ii000000000000000000000000
χ582-22-22i−2i2i−2i20000-22-22i−2i2i−2i0000-121-11-22-2−ii−ii2i−2i2i−2ii3−i3i3−i3−33−33-11-110000−ii−iii3−i3i3−i3−33−330000-22−2i2i−i3i3−i3i33−33−31-11-1i−ii−i000000000000000000000000
χ592-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i000022-22-2-22-2−2i2i−2i2i−2i2i−2i2i000000002-22-20000−2i2i−2i2i0000000000002-2−2i2i000000002-22-2−2i2i−2i2i000000000000000000000000
χ602-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i000022-22-2-22-2−2i2i−2i2i−2i2i−2i2i000000002-22-20000−2i2i−2i2i000000000000-222i−2i00000000-22-222i−2i2i−2i000000000000000000000000
χ612-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i0000-121-11-22-2i−ii−i−2i2i−2i2i−i3i3−i3i3−33−33-11-110000i−ii−i−i3i3−i3i3−33−3300002-2−2i2i−i3i3−i3i3−33−33-11-11i−ii−i000000000000000000000000
χ622-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i0000-121-11-22-2i−ii−i−2i2i−2i2i−i3i3−i3i3−33−33-11-110000i−ii−i−i3i3−i3i3−33−330000-222i−2ii3−i3i3−i33−33−31-11-1−ii−ii000000000000000000000000
χ632-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i0000-121-11-22-2i−ii−i−2i2i−2i2ii3−i3i3−i33−33−3-11-110000i−ii−ii3−i3i3−i33−33−300002-2−2i2ii3−i3i3−i33−33−3-11-11i−ii−i000000000000000000000000
χ642-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i0000-121-11-22-2i−ii−i−2i2i−2i2ii3−i3i3−i33−33−3-11-110000i−ii−ii3−i3i3−i33−33−30000-222i−2i−i3i3−i3i3−33−331-11-1−ii−ii000000000000000000000000
χ652-2-222i−2i−2i2i20000-2-222i−2i−2i2i000022-2-22-2-222i−2i−2i2i2i−2i−2i2i000000002-2-2200002i−2i−2i2i000000002-22i−2i00002-2-222i−2i−2i2i00000000000000000000000000000000
χ662-2-222i−2i−2i2i20000-2-222i−2i−2i2i000022-2-22-2-222i−2i−2i2i2i−2i−2i2i000000002-2-2200002i−2i−2i2i00000000-22−2i2i0000-222-2−2i2i2i−2i00000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).