Finite Group Databasebeta

← Group #11790113

Character table — Group #11790113

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444466666666666666666666666666666666666666666666666624242424242424242424242472727272
order1222222233444466666666666666888888881212121212121212242424242424242424242424242424243666666612121212121212121212121224242424242424242424242424242424242424242424242444444444888888881212121212121212121212121212121224242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-111
χ91-1-111-11-1111-1-11111-1-1-1-1-111-1-11-1iiii−i−i−i−i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i111-1-1-1-1111-11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11-1i−i11-1-1ii−i−i1-1i−i
χ101-1-111-11-1111-1-11111-1-1-1-1-111-1-11-1iiii−i−i−i−i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i111-1-1-1-1111-11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-11−ii-1-111−i−iii-11−ii
χ111-1-111-11-1111-1-11111-1-1-1-1-111-1-11-1iiii−i−i−i−i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i111-1-1-1-1111-11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111111-1i−i11-1-1ii−i−i-11−ii
χ121-1-111-11-1111-1-11111-1-1-1-1-111-1-11-1iiii−i−i−i−i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i111-1-1-1-1111-11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-11−ii-1-111−i−iii1-1i−i
χ131-1-111-11-1111-1-11111-1-1-1-1-111-1-11-1−i−i−i−iiiii11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii111-1-1-1-1111-11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−iii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111111-1−ii11-1-1−i−iii-11i−i
χ141-1-111-11-1111-1-11111-1-1-1-1-111-1-11-1−i−i−i−iiiii11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii111-1-1-1-1111-11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−iii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-11i−i-1-111ii−i−i1-1−ii
χ151-1-111-11-1111-1-11111-1-1-1-1-111-1-11-1−i−i−i−iiiii11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii111-1-1-1-1111-11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11-1−ii11-1-1−i−iii1-1−ii
χ161-1-111-11-1111-1-11111-1-1-1-1-111-1-11-1−i−i−i−iiiii11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii111-1-1-1-1111-11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-11i−i-1-111ii−i−i-11i−i
χ172222222222-2-2-2-22222222222222200000000-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-2-2-2000000002222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ182222222222-2-2-2-22222222222222200000000-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2222200000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ19222222222-1222222-122-1-1-12-122-1-122222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ20222222222-1222222-122-1-1-12-122-1-122222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000-2-2-2-2111111110000
χ21222222222-1222222-122-1-1-12-122-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000000000000000000000000000000000000000000022-2-2-1-1-1-111110000
χ22222222222-1222222-122-1-1-12-122-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000000000000000000000000000-2-2221111-1-1-1-10000
χ2322222222-122222-1-12-1-1222-12-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2422222222-122222-1-12-1-1222-12-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111110000000000000000
χ2522222222-122222-1-12-1-1222-12-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-2-2-2-211111111-2-2-2-21111111122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ2622222222-122222-1-12-1-1222-12-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2722222222-12-2-2-2-2-1-12-1-1222-12-1-12200000000111111113333−3−3−3−33333−3−3−3−3-1-1-1-1-1-1-1-1-2-2-2111111-21100003333−3−3−3−300003333−3−3−3−32222-2-2-2-200000000-1-1-1-11111-1-1-1-111113333−3−3−3−33333−3−3−3−30000000000000000
χ2822222222-12-2-2-2-2-1-12-1-1222-12-1-12200000000111111113333−3−3−3−33333−3−3−3−3-1-1-1-1-1-1-1-1-2-2-2111111-21100003333−3−3−3−300003333−3−3−3−3-2-2-2-22222000000001111-1-1-1-11111-1-1-1-1−3−3−3−33333−3−3−3−333330000000000000000
χ2922222222-12-2-2-2-2-1-12-1-1222-12-1-1220000000011111111−3−3−3−33333−3−3−3−33333-1-1-1-1-1-1-1-1-2-2-2111111-2110000−3−3−3−333330000−3−3−3−333332222-2-2-2-200000000-1-1-1-11111-1-1-1-11111−3−3−3−33333−3−3−3−333330000000000000000
χ3022222222-12-2-2-2-2-1-12-1-1222-12-1-1220000000011111111−3−3−3−33333−3−3−3−33333-1-1-1-1-1-1-1-1-2-2-2111111-2110000−3−3−3−333330000−3−3−3−33333-2-2-2-22222000000001111-1-1-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−30000000000000000
χ312222-2-2-2-2222-22-2-2-2-22222-222-2-2-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-22-2-222-2-222-2-222-2-2-2-222222-2-222-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ322222-2-2-2-2222-22-2-2-2-22222-222-2-2-2-2-2-222-2-22222-2-222-2-2-2-222-2-222-2-222-2-2222-2-222-2-222-2-222-2-2-2-2222-2-222-2-222-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ332222-2-2-2-222-22-22-2-2-22222-222-2-2-2-200000000-2-222-2-22200000000000000002-2-222-2-22-222-2-22222-2-2-20000000000000000000000000000000022-2-222-2-2000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ342222-2-2-2-222-22-22-2-2-22222-222-2-2-2-200000000-2-222-2-22200000000000000002-2-222-2-22-222-2-22222-2-2-200000000000000000000000000000000-2-222-2-2220000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ352222-2-2-2-22-12-22-2-2-2122-1-112-1-2-21122-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-2-111-1-111-1-111-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11100000000000000000000000000000000000000000000000000003−33−33−33−30000
χ362222-2-2-2-22-12-22-2-2-2122-1-112-1-2-21122-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-2-111-1-111-1-111-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1110000000000000000000000000000000000000000000000000000−33−33−33−330000
χ372222-2-2-2-22-12-22-2-2-2122-1-112-1-2-211-2-222-2-22222-2-222-2-2-2-222-2-222-2-222-2-222-111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1-111-1-111-1-111-1-100000000000000000000000000000000000000000000000000003−33−3−33−330000
χ382222-2-2-2-22-12-22-2-2-2122-1-112-1-2-211-2-222-2-22222-2-222-2-2-2-222-2-222-2-222-2-222-111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1-111-1-111-1-111-1-10000000000000000000000000000000000000000000000000000−33−333−33−30000
χ392222-2-2-2-2-122-22-211-2-1-122-2-1211-2-222-2-222-2-2-1-111-1-111-1-111-1-111-1-111-1-111-111-1-111-12-2-2-1-111112-1-122-2-2-1-111-1-11122-2-2-1-111-1-111000000000000000033−3−333−3−333−3−333−3−333−3−3−3−33333−3−3−3−3330000000000000000
χ402222-2-2-2-2-122-22-211-2-1-122-2-1211-2-222-2-222-2-2-1-111-1-111-1-111-1-111-1-111-1-111-111-1-111-12-2-2-1-111112-1-122-2-2-1-111-1-11122-2-2-1-111-1-1110000000000000000−3−333−3−333−3−333−3−333−3−33333−3−3−3−33333−3−30000000000000000
χ412222-2-2-2-2-122-22-211-2-1-122-2-1211-2-2-2-222-2-222-1-111-1-11111-1-111-1-111-1-111-1-1-111-1-111-12-2-2-1-111112-1-1-2-22211-1-111-1-1-2-22211-1-111-1-1000000000000000033−3−333−3−333−3−333−3−3−3−33333−3−3−3−33333−3−30000000000000000
χ422222-2-2-2-2-122-22-211-2-1-122-2-1211-2-2-2-222-2-222-1-111-1-11111-1-111-1-111-1-111-1-1-111-1-111-12-2-2-1-111112-1-1-2-22211-1-111-1-1-2-22211-1-111-1-10000000000000000−3−333−3−333−3−333−3−33333−3−3−3−33333−3−3−3−3330000000000000000
χ432222-2-2-2-2-12-22-2211-2-1-122-2-1211-2-20000000011-1-111-1-133−3−3−3−33333−3−3−3−333-111-1-111-1-22211-1-1-1-1-211000033−3−3−3−333000033−3−3−3−3330000000022-2-222-2-2−3−33333−3−3−3−33333−3−3-1-111-1-111-1-111-1-1110000000000000000
χ442222-2-2-2-2-12-22-2211-2-1-122-2-1211-2-20000000011-1-111-1-133−3−3−3−33333−3−3−3−333-111-1-111-1-22211-1-1-1-1-211000033−3−3−3−333000033−3−3−3−33300000000-2-222-2-22233−3−3−3−33333−3−3−3−33311-1-111-1-111-1-111-1-10000000000000000
χ452222-2-2-2-2-12-22-2211-2-1-122-2-1211-2-20000000011-1-111-1-1−3−33333−3−3−3−33333−3−3-111-1-111-1-22211-1-1-1-1-2110000−3−33333−3−30000−3−33333−3−30000000022-2-222-2-233−3−3−3−33333−3−3−3−333-1-111-1-111-1-111-1-1110000000000000000
χ462222-2-2-2-2-12-22-2211-2-1-122-2-1211-2-20000000011-1-111-1-1−3−33333−3−3−3−33333−3−3-111-1-111-1-22211-1-1-1-1-2110000−3−33333−3−30000−3−33333−3−300000000-2-222-2-222−3−33333−3−3−3−33333−3−311-1-111-1-111-1-111-1-10000000000000000
χ4722-2-222-2-22200002-2-22-22-2-2-2-22-2222−22−22−22−2000000002−22−22−22−22−22−22−22−222-22-22-2-20000000000002−22−22−22−22−22−22−22−22−22−22−22−200002i−2i2i−2i−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i00002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4822-2-222-2-22200002-2-22-22-2-2-2-22-2222−22−22−22−2000000002−22−22−22−22−22−22−22−222-22-22-2-20000000000002−22−22−22−22−22−22−22−22−22−22−22−20000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i0000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.