Finite Group Databasebeta

← Group #13172210

Character table — Group #13172210

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order122222333666666666666644443336666666666666666666664444441212121212121212121212121212121212121212366666666644121212121212121212121212121212121212121212121212121244441212121212121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ91111-1-11111-1-1-1-1111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-111-111-1-1-11-11
χ101111-1-11111-1-1-1-1111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1111-1-11-1-1111-11-1
χ111111-1-11111-1-1-1-1111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1111-1-1-1-11111-1-11-11-1
χ121111-1-11111-1-1-1-1111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-11111-1-1-1-111-11-11
χ131111-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-11-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1111-1-111-1-1-1-111-111-1
χ141111-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-11111-1-11-1-11
χ151111-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1111-1-11-1-11-1-1111-1-11
χ161111-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1-1111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1-1-111-111-111-1-1-111-1
χ1722222222-12222222-12-1-12222222-1-122-1-122-1-1-12222-1-1-1-1-1-12-12200002222-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-1-1-1-1-1-1-1-10000000000000000000022-1-1-1-12020-1-1-1-10000
χ1822222222-12222222-12-1-12222222-1-122-1-122-1-1-12222-1-1-1-1-1-12-12200002222-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-2-2-1-111110000-1-1-1-1-1-1-1-100000000000000000000-2-21111-20-2011110000
χ1922222222-12222222-12-1-122-2-2-2-22-1-122-1-122-1-1-12222-1-1-1-1-1-12-1-2-20000-2-2-2-21111-2-2-2-200000000-1-1-1-1-1-1-1-1-1-12211-1-1-1-10000111111110000000000000000000022-1-1-1-1-20-2011110000
χ2022222222-12222222-12-1-122-2-2-2-22-1-122-1-122-1-1-12222-1-1-1-1-1-12-1-2-20000-2-2-2-21111-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-2-211111100001111111100000000000000000000-2-211112020-1-1-1-10000
χ212222222-122-1-1-1-1-1-122222-12222-12-12222-1-12-1-1-1-1-1-1-1-1-1-122-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1002200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ222222222-122-1-1-1-1-1-122222-12222-12-12222-1-12-1-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-1-1-1-12222-1-1-1-111111111-122-1-1-1-1-1-1-100220000-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-211111111000000000000000000
χ232222222-122-1-1-1-1-1-122222-1-2-2-2-2-12-12222-1-12-1-1-1-1-1-1-1-1-1-122-1-1-2-222221111-2-2-2-21111-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-100-2-20000222211111111-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000000
χ242222222-122-1-1-1-1-1-122222-1-2-2-2-2-12-12222-1-12-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-2-2-2-2111111111111-122-1-1-1-1-1-1-100-2-20000-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1000000000000000000
χ25222222-122-12222222-122-120000-1-12-1-122-1-1-122-1-1-1-12222-1-1-1200222200000000000022222222-1-1-1-1-1-1-1-1-1-122002222-1-1-1-100000000-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-102020000-1-100
χ26222222-122-12222222-122-120000-1-12-1-122-1-1-122-1-1-1-12222-1-1-1200222200000000000022222222-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-100000000-1-1-1-1-1-1-1-10000000000001111110-20-200001100
χ27222222-122-12222222-122-120000-1-12-1-122-1-1-122-1-1-1-12222-1-1-1200-2-2-2-2000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-12200222211110000000011111111000000000000-1-1-1-1-1-10-20-200001100
χ28222222-122-12222222-122-120000-1-12-1-122-1-1-122-1-1-1-12222-1-1-1200-2-2-2-2000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-21111000000001111111100000000000011111102020000-1-100
χ292222-2-222-12-2-2-2-222-12-1-12222222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-1-2-200002222-1-1-1-1-2-2-2-200000000-111-1-1-111112-211-1-1110000-1-1-1-1111100000000000000000000-22-1-111-2020-1-1110000
χ302222-2-222-12-2-2-2-222-12-1-12222222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-1-2-200002222-1-1-1-1-2-2-2-200000000-111-1-1-11111-221111-1-10000-1-1-1-11111000000000000000000002-211-1-120-2011-1-10000
χ312222-2-222-12-2-2-2-222-12-1-122-2-2-2-22-1-1-2-21122-1-1-1-2-2-2-21111-1-12-1220000-2-2-2-21111222200000000-111-1-1-111112-2-1-1-1-11100001111-1-1-1-100000000000000000000-22-1-11120-2011-1-10000
χ322222-2-222-12-2-2-2-222-12-1-122-2-2-2-22-1-1-2-21122-1-1-1-2-2-2-21111-1-12-1220000-2-2-2-21111222200000000-111-1-1-11111-22-1-111-1-100001111-1-1-1-1000000000000000000002-211-1-1-2020-1-1110000
χ332222-2-22-1221111-1-122222-12222-12-1-2-2-2-2-1-12-1-11111111122-1-1-2-222-2-2-1-1-1-122221111-1-1-1-11111-1-2-2-1-1-1111100-2-2000022-2-2-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-11111000000000000000000
χ342222-2-22-1221111-1-122222-12222-12-1-2-2-2-2-1-12-1-11111111122-1-1-2-2-2-222-1-1-1-1222211111111-1-1-1-1-1-2-2-1-1-1111100-2-20000-2-222-1-1-1-111111111-1-1-1-1-2-2221111-1-1-1-1000000000000000000
χ352222-2-22-1221111-1-122222-1-2-2-2-2-12-1-2-2-2-2-1-12-1-11111111122-1-12222-2-21111-2-2-2-2-1-1-1-1-1-1-1-11111-1-2-2-1-1-111110022000022-2-21111-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-1000000000000000000
χ362222-2-22-1221111-1-122222-1-2-2-2-2-12-1-2-2-2-2-1-12-1-11111111122-1-122-2-2221111-2-2-2-2-1-1-1-11111-1-1-1-1-1-2-2-1-1-1111100220000-2-2221111-1-1-1-11111-1-1-1-122-2-2-1-1-1-11111000000000000000000
χ372222-2-2-122-1-2-2-2-2222-122-120000-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-120022-2-20000000000002222-2-2-2-2-111-1-1-111112-20022-2-2-1-11100000000-1-1-1-111110000000000001-1-1-111020-200001-100
χ382222-2-2-122-1-2-2-2-2222-122-120000-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-120022-2-20000000000002222-2-2-2-2-111-1-1-11111-2200-2-222-1-11100000000-1-1-1-11111000000000000-1111-1-10-2020000-1100
χ392222-2-2-122-1-2-2-2-2222-122-120000-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-1200-2-222000000000000-2-2-2-22222-111-1-1-111112-20022-2-211-1-1000000001111-1-1-1-10000000000001-1-1-1110-2020000-1100
χ402222-2-2-122-1-2-2-2-2222-122-120000-1-1211-2-2-1-1-1221111-2-2-2-2-1-1-1200-2-222000000000000-2-2-2-22222-111-1-1-11111-2200-2-22211-1-1000000001111-1-1-1-1000000000000-1111-1-1020-200001-100
χ4122-2-22-2222222-2-22-22-2-2-2-2-222-2-22222-22-22-22-2-222-2-222-2-2-2-2-222-2000022-2-222-2-222-2-20000000022-22-2-222-2-2002-20000000022-2-222-2-200000000000000000000000000000000000000
χ4222-2-22-2222222-2-22-22-2-2-2-2-2-2-2222222-22-22-22-2-222-2-222-2-2-2-2-22-220000-2-222-2-222-2-2220000000022-22-2-222-2-200-2200000000-2-222-2-22200000000000000000000000000000000000000
χ4322-2-22-222-1222-2-22-2-1-211-2-222-2-22-1-12-2-112-2-11122-2-2-1-11111-2-12-2000022-2-2-1-11122-2-200000000-1-11-111-1-11100-113−33−30000-1-111-1-11100000000000000000000003−33−300003−33−30000
χ4422-2-22-222-1222-2-22-2-1-211-2-222-2-22-1-12-2-112-2-11122-2-2-1-11111-2-12-2000022-2-2-1-11122-2-200000000-1-11-111-1-11100-11−33−330000-1-111-1-1110000000000000000000000−33−330000−33−330000
χ4522-2-22-222-1222-2-22-2-1-211-2-2-2-2222-1-12-2-112-2-11122-2-2-1-11111-2-1-220000-2-22211-1-1-2-22200000000-1-11-111-1-111001-13−33−3000011-1-111-1-100000000000000000000003−33−30000−33−330000
χ4622-2-22-222-1222-2-22-2-1-211-2-2-2-2222-1-12-2-112-2-11122-2-2-1-11111-2-1-220000-2-22211-1-1-2-22200000000-1-11-111-1-111001-1−33−33000011-1-111-1-10000000000000000000000−33−3300003−33−30000
χ4722-2-22-22-122-1-111-112-2-2-2-2122-2-2-12-12-22-2-11211-1-111-1-111-2-21-12-20000-1-11122-2-2-1-11133−3−333−3−3-12-2-111-1-111002-200000000-1-111-1-11133−3−333−3−3000033−3−333−3−3000000000000000000
χ4822-2-22-22-122-1-111-112-2-2-2-2122-2-2-12-12-22-2-11211-1-111-1-111-2-21-12-20000-1-11122-2-2-1-111−3−333−3−333-12-2-111-1-111002-200000000-1-111-1-111−3−333−3−3330000−3−333−3−333000000000000000000
χ4922-2-22-22-122-1-111-112-2-2-2-21-2-222-12-12-22-2-11211-1-111-1-111-2-21-1-22000011-1-1-2-22211-1-133−3−333−3−3-12-2-111-1-11100-220000000011-1-111-1-133−3−333−3−30000−3−333−3−333000000000000000000
χ5022-2-22-22-122-1-111-112-2-2-2-21-2-222-12-12-22-2-11211-1-111-1-111-2-21-1-22000011-1-1-2-22211-1-1−3−333−3−333-12-2-111-1-11100-220000000011-1-111-1-1−3−333−3−333000033−3−333−3−3000000000000000000
χ5122-2-2-222222-2-2222-22-2-2-2-2-222-2-2222-22-222-22-2-2-2-222-2-222-2-2-22-22000022-2-222-2-2-2-222000000002-222-2-2-2-22200-220000000022-2-2-2-22200000000000000000000000000000000000000
χ5222-2-2-222222-2-2222-22-2-2-2-2-2-2-222222-22-222-22-2-2-2-222-2-222-2-2-222-20000-2-222-2-22222-2-2000000002-222-2-2-2-222002-200000000-2-22222-2-200000000000000000000000000000000000000
χ5322-2-2-2222-12-2-2222-2-1-211-2-222-2-22-1-1-221-12-2-111-2-22211-1-111-2-1-22000022-2-2-1-111-2-22200000000-11-1-11111-1-1001-13−3−330000-1-11111-1-100000000000000000000003−3−3300003−3−330000
χ5422-2-2-2222-12-2-2222-2-1-211-2-222-2-22-1-1-221-12-2-111-2-22211-1-111-2-1-22000022-2-2-1-111-2-22200000000-11-1-11111-1-1001-1−333−30000-1-11111-1-10000000000000000000000−333−30000−333−30000
χ5522-2-2-2222-12-2-2222-2-1-211-2-2-2-2222-1-1-221-12-2-111-2-22211-1-111-2-12-20000-2-22211-1-122-2-200000000-11-1-11111-1-100-113−3−33000011-1-1-1-11100000000000000000000003−3−330000−333−30000
χ5622-2-2-2222-12-2-2222-2-1-211-2-2-2-2222-1-1-221-12-2-111-2-22211-1-111-2-12-20000-2-22211-1-122-2-200000000-11-1-11111-1-100-11−333−3000011-1-1-1-1110000000000000000000000−333−300003−3−330000
χ5722-2-2-222-12211-1-1-112-2-2-2-2122-2-2-12-1-22-22-1121111-1-111-1-1-2-21-1-220000-1-11122-2-211-1-133−3−3−3−333-1-22-11111-1-100-2200000000-1-11111-1-133−3−3−3−333000033−3−3−3−333000000000000000000
χ5822-2-2-222-12211-1-1-112-2-2-2-2122-2-2-12-1-22-22-1121111-1-111-1-1-2-21-1-220000-1-11122-2-211-1-1−3−33333−3−3-1-22-11111-1-100-2200000000-1-11111-1-1−3−33333−3−30000−3−33333−3−3000000000000000000
χ5922-2-2-222-12211-1-1-112-2-2-2-21-2-222-12-1-22-22-1121111-1-111-1-1-2-21-12-2000011-1-1-2-222-1-11133−3−3−3−333-1-22-11111-1-1002-20000000011-1-1-1-11133−3−3−3−3330000−3−33333−3−3000000000000000000
χ6022-2-2-222-12211-1-1-112-2-2-2-21-2-222-12-1-22-22-1121111-1-111-1-1-2-21-12-2000011-1-1-2-222-1-111−3−33333−3−3-1-22-11111-1-1002-20000000011-1-1-1-111−3−33333−3−3000033−3−3−3−333000000000000000000
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χ1294-4-4400-24420000-4-4-4-2-44240000-2-2400002-22-44000000002-22-400004i−4i00000000000000004i−4i−4i4i-20022-200000000000000−2i2i000000000000−2i2i2i−2i000000000000000000000000000000
χ1304-4-4400-24420000-4-4-4-2-44240000-2-2400002-22-44000000002-22-40000−4i4i0000000000000000−4i4i4i−4i-20022-2000000000000002i−2i0000000000002i−2i−2i2i000000000000000000000000000000
χ1314-4-4400-2-242−2i32i32i3−2i322-4-2-442-200001-2-20000-1122-2i3−i3−i3i3−2i32i32i3−2i32-2-1200004i−4i00000000000023−23−2323−2i2i2i−2i100-1-11i3−i3−i3i30000000000−2i2i00000000−333−3i−i−ii000000000000000000000000000000
χ1324-4-4400-2-242−2i32i32i3−2i322-4-2-442-200001-2-20000-1122-2i3−i3−i3i3−2i32i32i3−2i32-2-120000−4i4i000000000000−232323−232i−2i−2i2i100-1-11i3−i3−i3i300000000002i−2i000000003−3−33−iii−i000000000000000000000000000000
χ1334-4-4400-2-2422i3−2i3−2i32i322-4-2-442-200001-2-20000-1122-2−i3i3i3−i32i3−2i3−2i32i32-2-1200004i−4i000000000000−232323−23−2i2i2i−2i100-1-11−i3i3i3−i30000000000−2i2i000000003−3−33i−i−ii000000000000000000000000000000
χ1344-4-4400-2-2422i3−2i3−2i32i322-4-2-442-200001-2-20000-1122-2−i3i3i3−i32i3−2i3−2i32i32-2-120000−4i4i00000000000023−23−23232i−2i−2i2i100-1-11−i3i3i3−i300000000002i−2i00000000−333−3−iii−i000000000000000000000000000000
χ135888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-40000222-4-4-4-42222222222222222200000000000000000000000000-122-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1368888-8-8-4-4-4-44444-4-4-4-4-4-4-4-40000222444422222-2-2-2-2-2-2-2-2222200000000000000000000000000-1-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ13788-8-88-8-4-4-4-4-4-444-44-4444440000222-44-442-22-2-222-2-222-2-2-2-2-2200000000000000000000000000-12-2-111-1-1110000000000000000000000000000000000000000000000000000000000
χ13888-8-8-88-4-4-4-444-4-4-44-44444400002224-44-42-22-2-2-2-222-2-222-2-2-2200000000000000000000000000-1-22-11111-1-10000000000000000000000000000000000000000000000000000000000
χ1398-88-800-48-440000-8844-44-4-80000-42-4000044-2-44000000002-2-4400000000000000000000000000200-22-200000000000000000000000000000000000000000000000000000000000000
χ1408-88-800-4-4-44−4i34i3−4i34i34-444-44-4400002220000-2-2-22-22i3−2i32i3−2i32i3−2i32i3−2i32-22-200000000000000000000000000-1001-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1418-88-800-4-4-444i3−4i34i3−4i34-444-44-4400002220000-2-2-22-2−2i32i3−2i32i3−2i32i3−2i32i32-22-200000000000000000000000000-1001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1428-8-8800-48-440000-8-84-44-4480000-42-400004-4-24-400000000-224400000000000000000000000000200-2-2200000000000000000000000000000000000000000000000000000000000000
χ1438-8-8800-4-4-44−4i34i34i3−4i3444-44-44-400002220000-22-2-222i3−2i3−2i32i32i3−2i3−2i32i3-22-2-200000000000000000000000000-10011-1−i3i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1448-8-8800-4-4-444i3−4i3−4i34i3444-44-44-400002220000-22-2-22−2i32i32i3−2i3−2i32i32i3−2i3-22-2-200000000000000000000000000-10011-1i3−i3−i3i30000000000000000000000000000000000000000000000000000000000

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