Finite Group Databasebeta

← Group #11790311

Character table — Group #11790311

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order1222222233444444446666666666666612121212121212123446666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888242424242424242424242424242424244444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111-1-1-1-1111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-1111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-1111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-1111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ91-1-1111-1-1111-1-111-1-11-1-1-1-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i
χ101-1-1111-1-1111-1-111-1-11-1-1-1-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111-1-1111-1-1111-1-111-1-11-1-1-1-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−i−iii−i−iii
χ121-1-1111-1-1111-1-111-1-11-1-1-1-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiiii−i−iii−i−i
χ131-1-1111-1-1111-1-1-1-1111-1-1-1-1-1-1-1111111-111-1-1-1-1111-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141-1-1111-1-1111-1-1-1-1111-1-1-1-1-1-1-1111111-111-1-1-1-1111-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151-1-1111-1-1111-1-1-1-1111-1-1-1-1-1-1-1111111-111-1-1-1-1111-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−i−iiiii−i−i
χ161-1-1111-1-1111-1-1-1-1111-1-1-1-1-1-1-1111111-111-1-1-1-1111-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−iii−i−i−i−iii
χ172222222222-2-2-22222-222222222222222-2-2-2-2-2-2-2-22-2-22222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222-1222222222222-1-1-1222-1-1-1-122222222-122-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ20222222222-1222222222222-1-1-1222-1-1-1-122222222-122-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ21222222222-1222-2-2-2-222222-1-1-1222-1-1-1-122222222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ22222222222-1222-2-2-2-222222-1-1-1222-1-1-1-122222222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ23222222222-1-2-2-22222-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1111122-1-1-2-21122-1-1-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ24222222222-1-2-2-22222-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1111122-1-1-2-21122-1-1-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ25222222222-1-2-2-2-2-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-11111-2-21122-1-1-2-21122-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ26222222222-1-2-2-2-2-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-11111-2-21122-1-1-2-21122-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ2722222222-1222222222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2822222222-1222222222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ2922222222-12222-2-2-2-22-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1222211-2-211-2-211-2-211-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ3022222222-12222-2-2-2-22-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1222211-2-211-2-211-2-211-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ3122222222-12-2-2-22222-2-1-1-1-1222-1-1-1222211111111-1-2-2-1-1-1-1-1-1-1-2-2-2-2-1-12211-2-2-1-12211-2-211111111-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−300000000000000000000
χ3222222222-12-2-2-22222-2-1-1-1-1222-1-1-1222211111111-1-2-2-1-1-1-1-1-1-1-2-2-2-2-1-12211-2-2-1-12211-2-211111111-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−33300000000000000000000
χ3322222222-12-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-1-1-1-1-1-1-1-2-2-2-211-2-2-1-12211-2-2-1-122111111111111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−33300000000000000000000
χ3422222222-12-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-1-1-1-1-1-1-1-2-2-2-211-2-2-1-12211-2-2-1-122111111111111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−300000000000000000000
χ352222-2-2-2-2220002-22-2022-2-222-22-2-22-2-2-20000000020022-2-22-2-200002-22-200002-22-200000000000022-2-2000022-2-200002−22−22−22−22−22−22−22−22−22−22−22−200000000000000000000
χ362222-2-2-2-2220002-22-2022-2-222-22-2-22-2-2-20000000020022-2-22-2-200002-22-200002-22-200000000000022-2-2000022-2-20000−22−22−22−22−22−22−22−22−22−22−22−2200000000000000000000
χ372222-2-2-2-222000-22-22022-2-222-22-2-22-2-2-20000000020022-2-22-2-20000-22-220000-22-22000000000000-2-2220000-2-22200002−22−2−22−222−22−22−22−2−22−22−22−2200000000000000000000
χ382222-2-2-2-222000-22-22022-2-222-22-2-22-2-2-20000000020022-2-22-2-20000-22-220000-22-22000000000000-2-2220000-2-2220000−22−222−22−2−22−22−22−222−22−22−22−200000000000000000000
χ392222-2-2-2-2-120002-22-20-1-11122-2-1112-2-2-23−333−3−33−3-100-1-111-1110000-112-23−300-112-23−30033−3−333−3−3-1-11133−3−3-1-11133−3−32−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000000000
χ402222-2-2-2-2-120002-22-20-1-11122-2-1112-2-2-23−333−3−33−3-100-1-111-1110000-112-23−300-112-23−30033−3−333−3−3-1-11133−3−3-1-11133−3−3−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000000000
χ412222-2-2-2-2-120002-22-20-1-11122-2-1112-2-2-2−33−3−333−33-100-1-111-1110000-112-2−3300-112-2−3300−3−333−3−333-1-111−3−333-1-111−3−3332−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000000000
χ422222-2-2-2-2-120002-22-20-1-11122-2-1112-2-2-2−33−3−333−33-100-1-111-1110000-112-2−3300-112-2−3300−3−333−3−333-1-111−3−333-1-111−3−333−22−22−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000000000
χ432222-2-2-2-2-12000-22-220-1-11122-2-1112-2-2-23−333−3−33−3-100-1-111-11100001-1-22−33001-1-22−330033−3−333−3−311-1-1−3−33311-1-1−3−3332−22−2−22−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000000000
χ442222-2-2-2-2-12000-22-220-1-11122-2-1112-2-2-23−333−3−33−3-100-1-111-11100001-1-22−33001-1-22−330033−3−333−3−311-1-1−3−33311-1-1−3−333−22−222−22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000000000
χ452222-2-2-2-2-12000-22-220-1-11122-2-1112-2-2-2−33−3−333−33-100-1-111-11100001-1-223−3001-1-223−300−3−333−3−33311-1-133−3−311-1-133−3−32−22−2−22−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000000000
χ462222-2-2-2-2-12000-22-220-1-11122-2-1112-2-2-2−33−3−333−33-100-1-111-11100001-1-223−3001-1-223−300−3−333−3−33311-1-133−3−311-1-133−3−3−22−222−22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000000000
χ4722-2-22-22-22222-20000-22-22-22-22-22-2-22-2-2222-22-2-2-22002-22-2-22-22-22-200000000000000002-22-22-22-200000000000000000000000000000000000000000000000000002-22-20000
χ4822-2-22-22-22222-20000-22-22-22-22-22-2-22-2-2222-22-2-2-22002-22-2-22-22-22-200000000000000002-22-22-22-20000000000000000000000000000000000000000000000000000-22-220000
χ4922-2-22-22-222-2-22000022-22-22-22-22-2-22-2-2-2-2-22-22222002-22-2-22-2-22-220000000000000000-22-22-22-22000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ5022-2-22-22-222-2-22000022-22-22-22-22-2-22-2-2-2-2-22-22222002-22-2-22-2-22-220000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ512-22-22-2-22222-220000-2-22-22-22-2-22-2-22-2222-22-22-2-2200-22-22-22-22-2-2200000000000000002-22-2-22-2200000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ522-22-22-2-22222-220000-2-22-22-22-2-22-2-22-2222-22-22-2-2200-22-22-22-22-2-2200000000000000002-22-2-22-220000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ532-22-22-2-2222-22-200002-22-22-22-2-22-2-22-22-2-22-22-222200-22-22-22-2-222-20000000000000000-22-222-22-2000000000000000000000000000000000000000000000000000000002-2-22
χ542-22-22-2-2222-22-200002-22-22-22-2-22-2-22-22-2-22-22-222200-22-22-22-2-222-20000000000000000-22-222-22-200000000000000000000000000000000000000000000000000000000-222-2
χ552-2-2222-2-222-22222-2-2-2-2-2-2-2-2-2-2222222-2-2-22222-2-22-22-2-2-2-2222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ562-2-2222-2-222-222-2-222-2-2-2-2-2-2-2-2222222-2-2-22222-2-222-2-2-2-2-2222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ572-2-2222-2-22-12-2-222-2-22-2-2-2-2111222-1-1-1122-2-2-2-222-12-21111-1-1-1-1-11122-1-122-1-1-2-211-2-211-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000000000002i−2i2i−2i−i−iii−i−iii00000000
χ582-2-2222-2-22-12-2-222-2-22-2-2-2-2111222-1-1-1122-2-2-2-222-12-21111-1-1-1-1-11122-1-122-1-1-2-211-2-211-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000−2i2i−2i2iii−i−iii−i−i00000000
χ592-2-2222-2-22-12-2-2-2-2222-2-2-2-2111222-1-1-1122-2-2-2-222-1-221111-1-1-1-1-111-2-211-2-21122-1-122-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000000000002i−2i−2i2i−i−iiiii−i−i00000000
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χ1354-4-44-4-444-2-20004-4-44022-2-222-2-222-222-223−23−23−23232323−23100-1-1111-1-10000-22-2223−23002-22-2−232300−3−33333−3−311-1-1−3−333-1-11133−3−300000000000000000000000000000000000000000000
χ1364-4-44-4-444-2-20004-4-44022-2-222-2-222-222-2−23232323−23−23−2323100-1-1111-1-10000-22-22−2323002-22-223−230033−3−3−3−33311-1-133−3−3-1-111−3−33300000000000000000000000000000000000000000000
χ1374-4-44-4-444-2-2000-444-4022-2-222-2-222-222-223−23−23−23232323−23100-1-1111-1-100002-22-2−232300-22-2223−2300−3−33333−3−3-1-11133−3−311-1-1−3−33300000000000000000000000000000000000000000000
χ1384-4-44-4-444-2-2000-444-4022-2-222-2-222-222-2−23232323−23−23−2323100-1-1111-1-100002-22-223−2300-22-22−23230033−3−3−3−333-1-111−3−33311-1-133−3−300000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.