Finite Group Databasebeta

← Group #11793087

Character table — Group #11793087

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222222222222222222222222244444444444444444444444444444444444444444444444444448888888888888888888888888888888888887272727272727272
order12442223333444666666666666121212121212121212121212121212124444666666661212121212121212121212121212121212121212121212121212121212121212121212121212121224666666668812121212121212122424242424242424242424242424242444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1
χ8111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111
χ922222222-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2-2-2111111-2-2-2-211111111111100000000
χ1122222222-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111112222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2-2-211111111111100000000
χ1222222222-1-1-122222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-211111122-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ132222222-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ142222222-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-21111-2-211-2-211111111-2-2-2-21111111100000000
χ152222222-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-111111111-2-2-2-2-2-2-2-2111111111111111122-1-122-1-1-1-1-2-2-1-122-1-1-1-11111-2-2-2-21111111100000000
χ162222222-12-1-1222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-211-2-211112211-2-21111-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ172222222-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000
χ182222222-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-21111-2-211-2-21111-2-21111111111-2-2-2-2111100000000
χ192222222-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-11111111111111111-2-2-2-2-2-2-2-21111111122-1-1-1-122-1-1-2-2-1-1-1-122-1-111111111-2-2-2-2111100000000
χ202222222-1-12-1222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-11111111111111111-2-2-2-2-2-2-2-211111111-2-21111-2-211221111-2-211-1-1-1-1-1-1-1-12222-1-1-1-100000000
χ212222222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200000000
χ222222222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2111111-2-2-2-2111111-2-2111111111111-2-2-2-200000000
χ232222222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111111111111111111111-2-2-2-2-2-2-2-222-1-1-1-1-1-122-2-2-1-1-1-1-1-122111111111111-2-2-2-200000000
χ242222222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111111111111111111111-2-2-2-2-2-2-2-2-2-2111111-2-222111111-2-2-1-1-1-1-1-1-1-1-1-1-1-1222200000000
χ2522222-2-22222-2-2222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000002i−2i000000
χ2622222-2-22222-2-2222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−2i2i000000
χ272222-22-222222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-200002222-2-2-2-22-22-22-22-20000000000000000000000000000000000000000002i−2i000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000
χ282222-22-222222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-200002222-2-2-2-22-22-22-22-2000000000000000000000000000000000000000000−2i2i00000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000
χ292222-22-22-1-1-12-2-2-2-21111112-1-1-122-1-1-1-1-1-1-2-211111100002-1-1-1-21112-2-11-11-11000000003333−3−3−3−33333−3−3−3−33333−3−3−3−30000−i3i3−i3i3−i3i32i−2i00−i3i3−i3i3−i3i32i2i−2i−2i−i−iii−i−iii−i−iii00000000
χ302222-22-22-1-1-12-2-2-2-21111112-1-1-122-1-1-1-1-1-1-2-211111100002-1-1-1-21112-2-11-11-11000000003333−3−3−3−33333−3−3−3−33333−3−3−3−30000i3−i3i3−i3i3−i3−2i2i00i3−i3i3−i3i3−i3−2i−2i2i2iii−i−iii−i−iii−i−i00000000
χ312222-22-22-1-1-12-2-2-2-21111112-1-1-122-1-1-1-1-1-1-2-211111100002-1-1-1-21112-2-11-11-1100000000−3−3−3−33333−3−3−3−33333−3−3−3−333330000−i3i3−i3i3−i3i3−2i2i00−i3i3−i3i3−i3i3−2i−2i2i2iii−i−iii−i−iii−i−i00000000
χ322222-22-22-1-1-12-2-2-2-21111112-1-1-122-1-1-1-1-1-1-2-211111100002-1-1-1-21112-2-11-11-1100000000−3−3−3−33333−3−3−3−33333−3−3−3−333330000i3−i3i3−i3i3−i32i−2i00i3−i3i3−i3i3−i32i2i−2i−2i−i−iii−i−iii−i−iii00000000
χ332222-22-2-12-1-12-2-211-2-21111-12-1-1-1-122-1-1-1-111-2-211110000-12-1-11-211-112-2-11-113333−3−3−3−3000000003333−3−3−3−3−3−3−3−3333300−i3i300−i3i3i3−i32i−2i−i3i300−i3i3i3−i3−i−iii2i2i−2i−2i−i−iii−i−iii00000000
χ342222-22-2-12-1-12-2-211-2-21111-12-1-1-1-122-1-1-1-111-2-211110000-12-1-11-211-112-2-11-113333−3−3−3−3000000003333−3−3−3−3−3−3−3−3333300i3−i300i3−i3−i3i3−2i2ii3−i300i3−i3−i3i3ii−i−i−2i−2i2i2iii−i−iii−i−i00000000
χ352222-22-2-12-1-12-2-211-2-21111-12-1-1-1-122-1-1-1-111-2-211110000-12-1-11-211-112-2-11-11−3−3−3−3333300000000−3−3−3−333333333−3−3−3−300−i3i300−i3i3i3−i3−2i2i−i3i300−i3i3i3−i3ii−i−i−2i−2i2i2iii−i−iii−i−i00000000
χ362222-22-2-12-1-12-2-211-2-21111-12-1-1-1-122-1-1-1-111-2-211110000-12-1-11-211-112-2-11-11−3−3−3−3333300000000−3−3−3−333333333−3−3−3−300i3−i300i3−i3−i3i32i−2ii3−i300i3−i3−i3i3−i−iii2i2i−2i−2i−i−iii−i−iii00000000
χ372222-22-2-1-12-12-2-21111-2-211-1-12-1-1-1-1-122-1-11111-2-2110000-1-12-111-21-11-112-2-113333−3−3−3−3−3−3−3−33333000000003333−3−3−3−300−i3i3i3−i300−i3i32i−2i−i3i3i3−i300−i3i3−i−iii−i−iii2i2i−2i−2i−i−iii00000000
χ382222-22-2-1-12-12-2-21111-2-211-1-12-1-1-1-1-122-1-11111-2-2110000-1-12-111-21-11-112-2-113333−3−3−3−3−3−3−3−33333000000003333−3−3−3−300i3−i3−i3i300i3−i3−2i2ii3−i3−i3i300i3−i3ii−i−iii−i−i−2i−2i2i2iii−i−i00000000
χ392222-22-2-1-12-12-2-21111-2-211-1-12-1-1-1-1-122-1-11111-2-2110000-1-12-111-21-11-112-2-11−3−3−3−333333333−3−3−3−300000000−3−3−3−3333300−i3i3i3−i300−i3i3−2i2i−i3i3i3−i300−i3i3ii−i−iii−i−i−2i−2i2i2iii−i−i00000000
χ402222-22-2-1-12-12-2-21111-2-211-1-12-1-1-1-1-122-1-11111-2-2110000-1-12-111-21-11-112-2-11−3−3−3−333333333−3−3−3−300000000−3−3−3−3333300i3−i3−i3i300i3−i32i−2ii3−i3−i3i300i3−i3−i−iii−i−iii2i2i−2i−2i−i−iii00000000
χ412222-22-2-1-1-122-2-2111111-2-2-1-1-12-1-1-1-1-1-122111111-2-20000-1-1-12111-2-11-11-112-23333−3−3−3−33333−3−3−3−3−3−3−3−333330000000000−i3i3−i3i3i3−i3002i−2i−i3i3−i3i3i3−i300−i−iii−i−iii−i−iii2i2i−2i−2i00000000
χ422222-22-2-1-1-122-2-2111111-2-2-1-1-12-1-1-1-1-1-122111111-2-20000-1-1-12111-2-11-11-112-23333−3−3−3−33333−3−3−3−3−3−3−3−333330000000000i3−i3i3−i3−i3i300−2i2ii3−i3i3−i3−i3i300ii−i−iii−i−iii−i−i−2i−2i2i2i00000000
χ432222-22-2-1-1-122-2-2111111-2-2-1-1-12-1-1-1-1-1-122111111-2-20000-1-1-12111-2-11-11-112-2−3−3−3−33333−3−3−3−333333333−3−3−3−30000000000−i3i3−i3i3i3−i300−2i2i−i3i3−i3i3i3−i300ii−i−iii−i−iii−i−i−2i−2i2i2i00000000
χ442222-22-2-1-1-122-2-2111111-2-2-1-1-12-1-1-1-1-1-122111111-2-20000-1-1-12111-2-11-11-112-2−3−3−3−33333−3−3−3−333333333−3−3−3−30000000000i3−i3i3−i3−i3i3002i−2ii3−i3i3−i3−i3i300−i−iii−i−iii−i−iii2i2i−2i−2i00000000
χ452222-2-222222-22-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-22222-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000002-200
χ462222-2-222222-22-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-22222-22-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000-2200
χ4722-2-22222222-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000002-20000
χ4822-2-22222222-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000-220000
χ4922-2-22-2-2222222-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-222222222000000000000000000000000000000002-22222222200-2-2-2-2-2-2-2-2000000000000000000000000
χ5022-2-22-2-2222222-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-22-2-2-2-2-2-2-2-20022222222000000000000000000000000
χ5122-2-22-2-22-1-1-122-222-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000-2111-211122-1-1-1-1-1-10000000033−3−333−3−333−3−333−3−333−3−333−3−32-222-1-1-1-1-1-100-2-211111100003−33−33−33−33−33−300000000
χ5222-2-22-2-22-1-1-122-222-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000-2111-211122-1-1-1-1-1-10000000033−3−333−3−333−3−333−3−333−3−333−3−3-22-2-21111110022-1-1-1-1-1-10000−33−33−33−33−33−3300000000
χ5322-2-22-2-22-1-1-122-222-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000-2111-211122-1-1-1-1-1-100000000−3−333−3−333−3−333−3−333−3−333−3−3332-222-1-1-1-1-1-100-2-21111110000−33−33−33−33−33−3300000000
χ5422-2-22-2-22-1-1-122-222-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000-2111-211122-1-1-1-1-1-100000000−3−333−3−333−3−333−3−333−3−333−3−333-22-2-21111110022-1-1-1-1-1-100003−33−33−33−33−33−300000000
χ5522-2-22-2-2-12-1-122-2-1-122-1-1-1-1-12-1-111-2-2111111-2-2111100001-2111-211-1-122-1-1-1-133−3−333−3−30000000033−3−333−3−3−3−333−3−3332-2-1-122-1-1-1-10011-2-211113−33−300003−33−3−33−3300000000
χ5622-2-22-2-2-12-1-122-2-1-122-1-1-1-1-12-1-111-2-2111111-2-2111100001-2111-211-1-122-1-1-1-133−3−333−3−30000000033−3−333−3−3−3−333−3−333-2211-2-2111100-1-122-1-1-1-1−33−330000−33−333−33−300000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.