Finite Group Databasebeta

← Group #13172180

Character table — Group #13172180

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222222222224444444444444444444444446666666666666666888888888812121212121212121212121212121212121212121212121212121212121212121212121212121818242424243636363636363636363636363636363636108108
order122222333666666666666633366666666666666666666644444444121212121212121236666666664412121212121212121212121212121212121212121212121212121212121212121212121222121212122244466666612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111-111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111111111-1-111-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111111111-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-11111-111-1-111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-1
χ91111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-111111111111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-111-1-11111-1-11-1
χ101111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-1-111-1-111-1-1-11
χ111111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-11-11-11111-1-1-1-1-1-111-11
χ121111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11-1-1111-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-1-11111-1-1111-1
χ131111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111-1-1111-1-1-1-11-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11-111-1-1-1-1-11111-1-111-11
χ141111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-11-11-11111-1-1-1-1-1-1111-1
χ151111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-1-111-1-111-1-11-1
χ161111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-1-111-1-11111-1-1-11
χ1722222222-1-1-1-1-1-122-1-122222-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-12200002222222222-122-1-1-1-1-1-1-12200-1-122-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200002000000-1-1-1-100000000
χ1822222222-1-1-1-1-1-122-1-122222-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1220000-2-22222-2-2-2-2-122-1-1-1-1-1-1-12-200-1-122-1-1111100-2-20000-1-1-1-1-1-1-1-111111111-2-20000-2000000111100000000
χ1922222222-1-1-1-1-1-122-1-122222-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2000022-2-2-2-22222-122-1-1-1-1-1-1-1-220011-2-211-1-1-1-10022000011111111-1-1-1-1-1-1-1-1-2-20000-2000000111100000000
χ2022222222-1-1-1-1-1-122-1-122222-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-20000-2-2-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-2-20011-2-211111100-2-2000011111111111111112200002000000-1-1-1-100000000
χ212222222-1222222-1222-1-122-12-122-1-1-122-1-12222-1-1-1-1-1-12-1002222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-102-1-10000002222-1-1-1-1222200000000-1-1-1-1-1-1-1-100-1-1-1-102200-1-10000-1-1000000
χ222222222-1222222-1222-1-122-12-122-1-1-122-1-12222-1-1-1-1-1-12-1002222-2-200001111-1-1-1-1-1-1-1-1-1-10-2-1-1000000-2-2-2-2-1-1112222000000001111111100-1-1-1-10-2-20011000011000000
χ232222222-1222222-1222-1-122-12-122-1-1-122-1-12222-1-1-1-1-1-12-100-2-2-2-2220000-1-1-1-1-1-1-1-1-1-1-1-1-1-10211000000222211-1-1-2-2-2-200000000-1-1-1-1-1-1-1-10011110-2-20011000011000000
χ242222222-1222222-1222-1-122-12-122-1-1-122-1-12222-1-1-1-1-1-12-100-2-2-2-2-2-200001111-1-1-1-1-1-1-1-1-1-10-211000000-2-2-2-21111-2-2-2-2000000001111111100111102200-1-10000-1-1000000
χ25222222-122222222-12222-1-1-1-12-1-122-1-1-122-1-1-1-12222-1-1-1222222200-1-1-1-10000-1-1-1-1-1-1-1-1-1-1202222-1-12200002200-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-10002200000000-1-1-1-100
χ26222222-122222222-12222-1-1-1-12-1-122-1-1-122-1-1-1-12222-1-1-1222-2-2-2-200-1-1-1-10000-1-1-1-1-1-1-1-1-1-120-2-222-1-1220000-2-2001111-1-1-1-1-1-1-1-100000000001111000-2-200000000111100
χ27222222-122222222-12222-1-1-1-12-1-122-1-1-122-1-1-1-12222-1-1-12-2-222220011110000-1-1-1-1-1-1-1-1-1-1-2022-2-211-2-200002200-1-1-1-1111111110000000000-1-1-1-1000-2-200000000111100
χ28222222-122222222-12222-1-1-1-12-1-122-1-1-122-1-1-1-12222-1-1-12-2-2-2-2-2-20011110000-1-1-1-1-1-1-1-1-1-1-20-2-2-2-211-2-20000-2-200111111111111000000000011110002200000000-1-1-1-100
χ292222-2-222-1-1111122-1-122222-1-1-2-2-2-22-1-1-1-11111111122-1-12200002222222222-1-2-2-1-1-11111-2-200-1-1-2-211-1-11100-2-20000-1-1-1-11111-1-1-1-11111220000-2000000-1-11100000000
χ302222-2-222-1-1111122-1-122222-1-1-2-2-2-22-1-1-1-11111111122-1-1220000-2-22222-2-2-2-2-1-2-2-1-1-11111-2200-1-1-2-21111-1-100220000-1-1-1-111111111-1-1-1-1-2-20000200000011-1-100000000
χ312222-2-222-1-1111122-1-122222-1-1-2-2-2-22-1-1-1-11111111122-1-1-2-2000022-2-2-2-22222-1-2-2-1-1-111112-2001122-1-1-1-11100-2-200001111-1-1-1-1-1-1-1-11111-2-20000200000011-1-100000000
χ322222-2-222-1-1111122-1-122222-1-1-2-2-2-22-1-1-1-11111111122-1-1-2-20000-2-2-2-2-2-2-2-2-2-2-1-2-2-1-1-1111122001122-1-111-1-1002200001111-1-1-1-11111-1-1-1-1220000-2000000-1-11100000000
χ332222-2-22-122-2-2-2-2-1222-1-122-12-1-2-211-122-1-1-2-2-2-21111-1-12-10022-2-2220000-1-1-1-1-111-1-1-111110-2-1-100000022-2-2111122-2-200000000-1-1-1-1111100-1-1110-2200110000-1-1000000
χ342222-2-22-122-2-2-2-2-1222-1-122-12-1-2-211-122-1-1-2-2-2-21111-1-12-10022-2-2-2-200001111-111-1-1-1111102-1-1000000-2-22211-1-122-2-2000000001111-1-1-1-100-1-11102-200-1-1000011000000
χ352222-2-22-122-2-2-2-2-1222-1-122-12-1-2-211-122-1-1-2-2-2-21111-1-12-100-2-222220000-1-1-1-1-111-1-1-111110-21100000022-2-2-1-111-2-22200000000-1-1-1-111110011-1-102-200-1-1000011000000
χ362222-2-22-122-2-2-2-2-1222-1-122-12-1-2-211-122-1-1-2-2-2-21111-1-12-100-2-222-2-200001111-111-1-1-111110211000000-2-222-1-1-1-1-2-222000000001111-1-1-1-10011-1-10-2200110000-1-1000000
χ372222-2-2-1222-2-2-2-22-12222-1-1-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-122222-2-200-1-1-1-10000-111-1-1-11111-20222211-2-20000-2-200-1-111-1-1-1-111110000000000-1-111000-2200000000-1-11100
χ382222-2-2-1222-2-2-2-22-12222-1-1-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-1222-2-22200-1-1-1-10000-111-1-1-11111-20-2-22211-2-20000220011-1-1-1-1-1-11111000000000011-1-10002-20000000011-1-100
χ392222-2-2-1222-2-2-2-22-12222-1-1-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-12-2-222-2-20011110000-111-1-1-111112022-2-2-1-1220000-2-200-1-1111111-1-1-1-10000000000-1-1110002-20000000011-1-100
χ402222-2-2-1222-2-2-2-22-12222-1-1-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-12-2-2-2-2220011110000-111-1-1-1111120-2-2-2-2-1-1220000220011-1-11111-1-1-1-1000000000011-1-1000-2200000000-1-11100
χ4122-2-22-2222-222-2-2-222-22-2-2-22222-22-22-2-22-222-2-222-2-2-2-22-2002i−2i2i−2i000000000022-22-2-222-2-2002i−2i00000000002i−2i002i−2i2i−2i0000000000000000002i−2i2i−2i0000000000000000000
χ4222-2-22-2222-222-2-2-222-22-2-2-22222-22-22-2-22-222-2-222-2-2-2-22-200−2i2i−2i2i000000000022-22-2-222-2-200−2i2i0000000000−2i2i00−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000000000000
χ4322-2-22-22-12-222-2-2122-2-11-2-2-12-12-2-11-1-2-2-1122-2-2-1-1111121002i−2i2i−2i00000033−3−3-1-11-111-1-11100−ii0000000000−ii3−32i−2i2i−2i0000000033−3−333−3−300−ii−ii00000−i3i30000−i3i3000000
χ4422-2-22-22-12-222-2-2122-2-11-2-2-12-12-2-11-1-2-2-1122-2-2-1-1111121002i−2i2i−2i000000−3−333-1-11-111-1-11100−ii0000000000−ii−332i−2i2i−2i00000000−3−333−3−33300−ii−ii00000i3−i30000i3−i3000000
χ4522-2-22-22-12-222-2-2122-2-11-2-2-12-12-2-11-1-2-2-1122-2-2-1-111112100−2i2i−2i2i00000033−3−3-1-11-111-1-11100i−i0000000000i−i3−3−2i2i−2i2i0000000033−3−333−3−300i−ii−i00000i3−i30000i3−i3000000
χ4622-2-22-22-12-222-2-2122-2-11-2-2-12-12-2-11-1-2-2-1122-2-2-1-111112100−2i2i−2i2i000000−3−333-1-11-111-1-11100i−i0000000000i−i−33−2i2i−2i2i00000000−3−333−3−33300i−ii−i00000−i3i30000−i3i3000000
χ4722-2-22-2-122-222-2-2-2-12-22-211-1-12-112-2-1112-2-1-11122-2-211-1-2002i−2i2i−2i00−i3−i3i3i30000-1-11-111-1-111002i−2i00−i3i30000002i−2i00−ii−ii−i3−i3i3i3−i3−i3i3i30000000000−ii−ii00000000000003−33−300
χ4822-2-22-2-122-222-2-2-2-12-22-211-1-12-112-2-1112-2-1-11122-2-211-1-2002i−2i2i−2i00i3i3−i3−i30000-1-11-111-1-111002i−2i00i3−i30000002i−2i00−ii−iii3i3−i3−i3i3i3−i3−i30000000000−ii−ii0000000000000−33−3300
χ4922-2-22-2-122-222-2-2-2-12-22-211-1-12-112-2-1112-2-1-11122-2-211-1-200−2i2i−2i2i00−i3−i3i3i30000-1-11-111-1-11100−2i2i00−i3i3000000−2i2i00i−ii−i−i3−i3i3i3−i3−i3i3i30000000000i−ii−i0000000000000−33−3300
χ5022-2-22-2-122-222-2-2-2-12-22-211-1-12-112-2-1112-2-1-11122-2-211-1-200−2i2i−2i2i00i3i3−i3−i30000-1-11-111-1-11100−2i2i00i3−i3000000−2i2i00i−ii−ii3i3−i3−i3i3i3−i3−i30000000000i−ii−i00000000000003−33−300
χ5122-2-2-22222-2-2-222-222-22-2-2-2222-22-222-2-22-2-2-222-2-222-2-22-2002i−2i−2i2i00000000002-222-2-2-2-222002i−2i0000000000−2i2i002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000000000000
χ5222-2-2-22222-2-2-222-222-22-2-2-2222-22-222-2-22-2-2-222-2-222-2-22-200−2i2i2i−2i00000000002-222-2-2-2-22200−2i2i00000000002i−2i00−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000000000000
χ5322-2-2-222-12-2-2-222122-2-11-2-2-12-1-221-1-1-2-2-11-2-22211-1-11121002i−2i−2i2i00000033−3−3-11-1-11111-1-100−ii0000000000i−i−332i−2i−2i2i0000000033−3−3−3−33300−iii−i00000i3−i30000−i3i3000000
χ5422-2-2-222-12-2-2-222122-2-11-2-2-12-1-221-1-1-2-2-11-2-22211-1-11121002i−2i−2i2i000000−3−333-11-1-11111-1-100−ii0000000000i−i3−32i−2i−2i2i00000000−3−33333−3−300−iii−i00000−i3i30000i3−i3000000
χ5522-2-2-222-12-2-2-222122-2-11-2-2-12-1-221-1-1-2-2-11-2-22211-1-1112100−2i2i2i−2i00000033−3−3-11-1-11111-1-100i−i0000000000−ii−33−2i2i2i−2i0000000033−3−3−3−33300i−i−ii00000−i3i30000i3−i3000000
χ5622-2-2-222-12-2-2-222122-2-11-2-2-12-1-221-1-1-2-2-11-2-22211-1-1112100−2i2i2i−2i000000−3−333-11-1-11111-1-100i−i0000000000−ii3−3−2i2i2i−2i00000000−3−33333−3−300i−i−ii00000i3−i30000−i3i3000000
χ5722-2-2-22-122-2-2-222-2-12-22-211-1-121-1-22-1112-211-1-1-2-22211-1-2002i−2i−2i2i00−i3−i3i3i30000-11-1-11111-1-1002i−2i00i3−i3000000−2i2i00−iii−i−i3−i3i3i3i3i3−i3−i30000000000−iii−i00000000000003−3−3300
χ5822-2-2-22-122-2-2-222-2-12-22-211-1-121-1-22-1112-211-1-1-2-22211-1-2002i−2i−2i2i00i3i3−i3−i30000-11-1-11111-1-1002i−2i00−i3i3000000−2i2i00−iii−ii3i3−i3−i3−i3−i3i3i30000000000−iii−i0000000000000−333−300
χ5922-2-2-22-122-2-2-222-2-12-22-211-1-121-1-22-1112-211-1-1-2-22211-1-200−2i2i2i−2i00−i3−i3i3i30000-11-1-11111-1-100−2i2i00i3−i30000002i−2i00i−i−ii−i3−i3i3i3i3i3−i3−i30000000000i−i−ii0000000000000−333−300
χ6022-2-2-22-122-2-2-222-2-12-22-211-1-121-1-22-1112-211-1-1-2-22211-1-200−2i2i2i−2i00i3i3−i3−i30000-11-1-11111-1-100−2i2i00−i3i30000002i−2i00i−i−iii3i3−i3−i3−i3−i3i3i30000000000i−i−ii00000000000003−3−3300
χ612-22-200222200002-2-2-2-2-22-22220000-22-2-22000000002-2-2-22i−2i00002i−2i2i−2i2i−2i2i−2i2i−2i200-22-2000000002i−2i00002i−2i00000000002i−2i2i−2i00002i−2i2i−2i00002-2000000000002-20000000000
χ622-22-200222200002-2-2-2-2-22-22220000-22-2-22000000002-2-2-22i−2i0000−2i2i2i−2i2i−2i−2i2i−2i2i200-22-2000000002i−2i0000−2i2i00000000002i−2i2i−2i0000−2i2i−2i2i0000-2200000000000-220000000000
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χ1124-4-440044-22−2i32i32i3−2i3-4-42-2-44-444-2-20000-42-222−2i32i32i3−2i3−2i32i32i3−2i3-442-20000000000000000-20022-2−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ1134-4-440044-222i3−2i3−2i32i3-4-42-2-44-444-2-20000-42-2222i3−2i3−2i32i32i3−2i3−2i32i3-442-20000000000000000-20022-22i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44004-24-400002-4-442-2-44-24-200002-4422000000002-2-4-2000000000000−2i32i32i3−2i3-20022-20000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000
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χ1164-4-44004-2-22−2i32i32i3−2i32-42-22-2-44-2-21000022-2-1-1−2i32i32i3−2i3i3−i3−i3i32-221000000000000−2i32i32i3−2i3100-1-11i3−i3−i3i3000000000000000000000000000000i3−i3−i3i3-333-30000000000000000000000000
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χ1244-4-4400-24-222i3−2i3−2i32i3-422-2-442-2-21-200002-1122−i3i3i3−i32i3−2i3−2i32i32-2-1-20000000023−23−23230000100-1-11−i3i3i3−i30000000000000000000000−333−33i−3i−3i3i000000000000000000000000000000000
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χ126888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4222222222222222220000000000000000-122-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1278888-8-8-4-4-4-44444-4-4-4-4-4-4-4-4222444422222-2-2-2-2-2-2-2-222220000000000000000-1-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000000
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χ1358-8-8800-4-4-444i3−4i3−4i34i3444-44-44-42220000-2-22-2-2−2i32i32i3−2i3−2i32i32i3−2i3-22-220000000000000000-10011-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000000000

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