Finite Group Databasebeta

← Group #14299144

Character table — Group #14299144

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222444444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010202020202020202020202020202020202020120120120120120120120120
order12223446661212121244588881010101212121215152020202024242424242424243030303030306060606060606060222220202020404040404040404060606060606060601201201201201201201201201201201201201201201201204466661212121244888812121212242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiii−i−i−i
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−iiii
χ511111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1
χ611111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111
χ711111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111i−ii−i−i−iii
χ811111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−ii−iiii−i−i
χ911111111111111-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-11-1
χ1011111111111111-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-111-11
χ1111111111111111-1-1111-1-1111-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111i−i−ii−ii−ii
χ1211111111111111-1-1111-1-1111-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111−iii−ii−ii−i
χ1311111111111111-1-11-1-111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11-1-11
χ1411111111111111-1-11-1-111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-111-1
χ1511111111111111-1-11-1-111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1i−i−i−iiii−i
χ1611111111111111-1-11-1-111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1−iiii−i−i−ii
χ1722222-2-2222-2-2-2-22-22000022222-2-222-2-2-2-200000000222222-2-2-2-2-2-2-2-2222222-2-2000000002222-2-2-2-20000000000000000-2-22222-2-2-2-22-2000022-2-20000000000000000
χ1822222-2-2222-2-2-2-22-22000022222-2-222-2-2-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2000000002222-2-2-2-2000000000000000022-2-2-2-22222-220000-2-2220000000000000000
χ1922222-2-2222-2-2-2-2-2220000222-2-22222-2-2-2-200000000222222-2-2-2-2-2-2-2-22222-2-22200000000-2-2-2-222220000000000000000-2-22222-2-2-2-2-220000-2-2220000000000000000
χ2022222-2-2222-2-2-2-2-2220000222-2-22222-2-2-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-2-2-22222000000000000000022-2-2-2-222222-2000022-2-20000000000000000
χ212222-122-1-1-1-1-1-1-12222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ222222-122-1-1-1-1-1-1-12222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111-2-2-2-2-2-211111111111100000000
χ232222-122-1-1-1-1-1-1-1222-2-2-2-2222-1-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ242222-122-1-1-1-1-1-1-1222-2-2-2-2222-1-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-211111111-2-222221111-1-1-1-1-1-1-1-100000000
χ252222-122-1-1-1-1-1-1-1-2-2222-2-22221111-1-12222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ262222-122-1-1-1-1-1-1-1-2-2222-2-22221111-1-12222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-21111111122-2-222-1-1-1-11111-1-1-1-100000000
χ272222-122-1-1-1-1-1-1-1-2-22-2-2222221111-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ282222-122-1-1-1-1-1-1-1-2-22-2-2222221111-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2111111112222-2-2-1-1-1-1-1-1-1-1111100000000
χ292222-1-2-2-1-1-111112-220000222-1-111-1-1-2-2-2-233−3−333−3−3-1-1-1-1-1-111111111222222-2-200000000-1-1-1-111113333−3−3−3−33333−3−3−3−3-2-2-1-1-1-111112-20000-1-11133−3−333−3−300000000
χ302222-1-2-2-1-1-111112-220000222-1-111-1-1-2-2-2-233−3−333−3−3-1-1-1-1-1-111111111-2-2-2-222-2-200000000-1-1-1-111113333−3−3−3−33333−3−3−3−3221111-1-1-1-1-22000011-1-1−3−333−3−33300000000
χ312222-1-2-2-1-1-111112-220000222-1-111-1-1-2-2-2-2−3−333−3−333-1-1-1-1-1-111111111222222-2-200000000-1-1-1-11111−3−3−3−33333−3−3−3−33333-2-2-1-1-1-111112-20000-1-111−3−333−3−33300000000
χ322222-1-2-2-1-1-111112-220000222-1-111-1-1-2-2-2-2−3−333−3−333-1-1-1-1-1-111111111-2-2-2-222-2-200000000-1-1-1-11111−3−3−3−33333−3−3−3−33333221111-1-1-1-1-22000011-1-133−3−333−3−300000000
χ332222-1-2-2-1-1-11111-222000022211-1-1-1-1-2-2-2-233−3−3−3−333-1-1-1-1-1-1111111112222-2-222000000001111-1-1-1-13333−3−3−3−3−3−3−3−33333-2-2-1-1-1-11111-22000011-1-133−3−3−3−33300000000
χ342222-1-2-2-1-1-11111-222000022211-1-1-1-1-2-2-2-233−3−3−3−333-1-1-1-1-1-111111111-2-2-2-2-2-222000000001111-1-1-1-13333−3−3−3−3−3−3−3−33333221111-1-1-1-12-20000-1-111−3−33333−3−300000000
χ352222-1-2-2-1-1-11111-222000022211-1-1-1-1-2-2-2-2−3−33333−3−3-1-1-1-1-1-1111111112222-2-222000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3-2-2-1-1-1-11111-22000011-1-1−3−33333−3−300000000
χ362222-1-2-2-1-1-11111-222000022211-1-1-1-1-2-2-2-2−3−33333−3−3-1-1-1-1-1-111111111-2-2-2-2-2-222000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3221111-1-1-1-12-20000-1-11133−3−3−3−33300000000
χ3722-2-222-22-2-222-2-2002002-22-2-200002222-2-200002-22-222-2-2-2-22222-2-2-2-222-2-20000000022-2-2000000000000000022-2-222-2-22-222-2-222-2-200002-2000000002-22-200000000
χ3822-2-222-22-2-222-2-2002002-22-2-200002222-2-200002-22-222-2-2-2-22222-2-2-2-2-2-2220000000022-2-2000000000000000022-2-222-2-2-22-2-222-2-2220000-2200000000-22-2200000000
χ3922-2-222-22-2-222-2-200200-222-2-200002222-2-20000-22-2222-2-2-2-22222-2-2-2-222-2-200000000-2-2220000000000000000-2-222-2-2222-222-2-222-2-20000-2200000000-22-2200000000
χ4022-2-222-22-2-222-2-200200-222-2-200002222-2-20000-22-2222-2-2-2-22222-2-2-2-2-2-22200000000-2-2220000000000000000-2-222-2-222-22-2-222-2-22200002-2000000002-22-200000000
χ4122-2-22-222-2-2-2-2220022-2002-2-2000022-2-2222-22-2000022-2-2-2-2-2-2-2-2222222-2-2000022-2-200000000000022-2-222-2-200000000-2222-2-2-2-222002-20000002-22-2000000000000
χ4222-2-22-222-2-2-2-2220022-2002-2-2000022-2-2222-22-2000022-2-2-2-2-2-2-2-22222-2-222000022-2-200000000000022-2-222-2-2000000002-2-2-22222-2-200-22000000-22-22000000000000
χ4322-2-22-222-2-2-2-222002-22002-2-2000022-2-222-22-22000022-2-2-2-2-2-2-2-2222222-2-20000-2-222000000000000-2-222-2-22200000000-2222-2-2-2-22200-22000000-22-22000000000000
χ4422-2-22-222-2-2-2-222002-22002-2-2000022-2-222-22-22000022-2-2-2-2-2-2-2-22222-2-2220000-2-222000000000000-2-222-2-222000000002-2-2-22222-2-2002-20000002-22-2000000000000
χ4522-2-2-12-2-111-1-111002002-22-2-23−33−3-1-122-2-23−3−33-11-11-1-11111-1-1-1-1111122-2-20000000022-2-233−3−333−3−333−3−3−3−333-1-111-1-1112-2-1-111-1-11100002-23−33−33−3−33-11-1100000000
χ4622-2-2-12-2-111-1-111002002-22-2-23−33−3-1-122-2-23−3−33-11-11-1-11111-1-1-1-11111-2-2220000000022-2-233−3−333−3−333−3−3−3−333-1-111-1-111-2211-1-111-1-10000-22−33−33−333−31-11-100000000
χ4722-2-2-12-2-111-1-111002002-22-2-2−33−33-1-122-2-2−333−3-11-11-1-11111-1-1-1-1111122-2-20000000022-2-2−3−333−3−333−3−33333−3−3-1-111-1-1112-2-1-111-1-11100002-2−33−33−333−3-11-1100000000
χ4822-2-2-12-2-111-1-111002002-22-2-2−33−33-1-122-2-2−333−3-11-11-1-11111-1-1-1-11111-2-2220000000022-2-2−3−333−3−333−3−33333−3−3-1-111-1-111-2211-1-111-1-10000-223−33−33−3−331-11-100000000
χ4922-2-2-12-2-111-1-11100200-222-2-23−33−3-1-122-2-2−333−31-11-1-1-11111-1-1-1-1111122-2-200000000-2-22233−3−333−3−3−3−33333−3−311-1-111-1-12-2-1-111-1-1110000-223−33−3−333−31-11-100000000
χ5022-2-2-12-2-111-1-11100200-222-2-23−33−3-1-122-2-2−333−31-11-1-1-11111-1-1-1-11111-2-22200000000-2-22233−3−333−3−3−3−33333−3−311-1-111-1-1-2211-1-111-1-100002-2−33−333−3−33-11-1100000000
χ5122-2-2-12-2-111-1-11100200-222-2-2−33−33-1-122-2-23−3−331-11-1-1-11111-1-1-1-1111122-2-200000000-2-222−3−333−3−33333−3−3−3−33311-1-111-1-12-2-1-111-1-1110000-22−33−333−3−331-11-100000000
χ5222-2-2-12-2-111-1-11100200-222-2-2−33−33-1-122-2-23−3−331-11-1-1-11111-1-1-1-11111-2-22200000000-2-222−3−333−3−33333−3−3−3−33311-1-111-1-1-2211-1-111-1-100002-23−33−3−333−3-11-1100000000
χ5322-2-2-1-22-11111-1-10022-2002-2-23−3−33-1-1-2-222-11-11−333−3-1-111111111-1-1-1-122-2-2000022-2-2000033−3−3−3−333-1-111-1-111−3−33333−3−3-22-1-11111-1-1002-2003−3−33-11-11−333−300000000
χ5422-2-2-1-22-11111-1-10022-2002-2-23−3−33-1-1-2-222-11-11−333−3-1-111111111-1-1-1-1-2-222000022-2-2000033−3−3−3−333-1-111-1-111−3−33333−3−32-211-1-1-1-11100-2200−333−31-11-13−3−3300000000
χ5522-2-2-1-22-11111-1-10022-2002-2-2−333−3-1-1-2-222-11-113−3−33-1-111111111-1-1-1-122-2-2000022-2-20000−3−33333−3−3-1-111-1-11133−3−3−3−333-22-1-11111-1-1002-200−333−3-11-113−3−3300000000
χ5622-2-2-1-22-11111-1-10022-2002-2-2−333−3-1-1-2-222-11-113−3−33-1-111111111-1-1-1-1-2-222000022-2-20000−3−33333−3−3-1-111-1-11133−3−3−3−3332-211-1-1-1-11100-22003−3−331-11-1−333−300000000
χ5722-2-2-1-22-11111-1-1002-22002-2-23−3−33-1-1-2-2221-11-13−3−33-1-111111111-1-1-1-122-2-20000-2-222000033−3−3−3−33311-1-111-1-133−3−3−3−333-22-1-11111-1-100-22003−3−331-11-13−3−3300000000
χ5822-2-2-1-22-11111-1-1002-22002-2-23−3−33-1-1-2-2221-11-13−3−33-1-111111111-1-1-1-1-2-2220000-2-222000033−3−3−3−33311-1-111-1-133−3−3−3−3332-211-1-1-1-111002-200−333−3-11-11−333−300000000
χ5922-2-2-1-22-11111-1-1002-22002-2-2−333−3-1-1-2-2221-11-1−333−3-1-111111111-1-1-1-122-2-20000-2-2220000−3−33333−3−311-1-111-1-1−3−33333−3−3-22-1-11111-1-100-2200−333−31-11-1−333−300000000
χ6022-2-2-1-22-11111-1-1002-22002-2-2−333−3-1-1-2-2221-11-1−333−3-1-111111111-1-1-1-1-2-2220000-2-2220000−3−33333−3−311-1-111-1-1−3−33333−3−32-211-1-1-1-111002-2003−3−33-11-113−3−3300000000
χ614444444444444444-14444-1-1-14444-1-1-1-1-1-144444444-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ624444444444444444-1-4-4-4-4-1-1-14444-1-1-1-1-1-1-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000000
χ6344444444444444-4-4-144-4-4-1-1-1-4-4-4-4-1-1-1-1-1-14444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-100001111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.