Finite Group Databasebeta

← Group #11869696

Character table — Group #11869696

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order12224444223344666666666612121212121212121212121236666666668888121212121212121212122424242424242424242424242424242424242424242424242424242424242424224424444466668888121212122424242424242424441212121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1
χ91111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ101111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-111-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-111-11
χ111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111-1-111-1-111-1-1-1-111111-111-1-111-1-1-1-111-11
χ121111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-111-1-1-1-11111-11-1-111-1-11111-1-11-1
χ131111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11
χ141111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ151111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ161111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-1-11111-1-111-1-1-11
χ1722222222222-122-1-1-1-1-1-12-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222220000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222222-122-1-1-1-1-1-12-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-200001111-2-2-2-21111111111110000000000000000
χ1922222222222-122-1-1-1-1-1-12-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-2111111112222220000-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ2022222222222-122-1-1-1-1-1-12-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-20000111122221111-1-1-1-1-1-1-1-10000000000000000
χ212222222222-1222222222-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022220000000000000000000022-1-1-1-1-1-1-1-1000000
χ222222222222-1222222222-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000000000000-2-211111111000000
χ232222222222-1222222222-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000222200000000000000000000-2-2-1-1-1-11111000000
χ242222222222-1222222222-12-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000-2-2-2-200000000000000000000221111-1-1-1-1000000
χ2522222222-2-222-2-222-2-2-2-2222222222222-2-2-2-22-2-222-2-2-2-220000-2-2-22222-2-2-2000000000000000000000000000000002222-2-2000022-2-20000-2-222000000000000000000000000
χ2622222222-2-222-2-222-2-2-2-2222222222222-2-2-2-22-2-222-2-2-2-220000-2-2-22222-2-2-200000000000000000000000000000000-2-2-2-2220000-2-222000022-2-2000000000000000000000000
χ2722222222-2-22-1-2-2-1-111112-1222222-1-1-1-11111-1-2-2-1-11111-10000-211-1-1-1-1-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−32222-2-20000-1-111000011-1-133−3−333−3−30000000000000000
χ2822222222-2-22-1-2-2-1-111112-1222222-1-1-1-11111-1-2-2-1-11111-10000-211-1-1-1-1-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−3-2-2-2-222000011-1-10000-1-111−3−333−3−3330000000000000000
χ2922222222-2-22-1-2-2-1-111112-1222222-1-1-1-11111-1-2-2-1-11111-10000-211-1-1-1-1-211−3−333−3−3330000−3−3−3−333330000−3−3−3−333332222-2-20000-1-111000011-1-1−3−333−3−3330000000000000000
χ3022222222-2-22-1-2-2-1-111112-1222222-1-1-1-11111-1-2-2-1-11111-10000-211-1-1-1-1-211−3−333−3−3330000−3−3−3−333330000−3−3−3−33333-2-2-2-222000011-1-10000-1-11133−3−333−3−30000000000000000
χ312222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-22-2000022220000-2-2-2-2000000000000000000000000
χ322222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222-220000-2-2-2-200002222000000000000000000000000
χ332222-2-2-2-2222-1-2-2-1-1-1-1-1-12-122-2-2-2-211111111-122-1-1-1-1-1-1-10000-2111111-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−3333322-2-22-20000-1-1-1-10000111133−3−3−3−3330000000000000000
χ342222-2-2-2-2222-1-2-2-1-1-1-1-1-12-122-2-2-2-211111111-122-1-1-1-1-1-1-10000-2111111-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−33333-2-222-22000011110000-1-1-1-1−3−33333−3−30000000000000000
χ352222-2-2-2-2222-1-2-2-1-1-1-1-1-12-122-2-2-2-211111111-122-1-1-1-1-1-1-10000-2111111-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−322-2-22-20000-1-1-1-100001111−3−33333−3−30000000000000000
χ362222-2-2-2-2222-1-2-2-1-1-1-1-1-12-122-2-2-2-211111111-122-1-1-1-1-1-1-10000-2111111-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3-2-222-22000011110000-1-1-1-133−3−3−3−3330000000000000000
χ372222-2-2-2-2-2-22-122-1-111112-122-2-2-2-21111-1-1-1-1-1-2-2-1-11111-122-2-22-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-2-220000-1-11122-2-2-1-111-1-1-1-111110000000000000000
χ382222-2-2-2-2-2-22-122-1-111112-122-2-2-2-21111-1-1-1-1-1-2-2-1-11111-122-2-22-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2222-2000011-1-1-2-22211-1-11111-1-1-1-10000000000000000
χ392222-2-2-2-2-2-22-122-1-111112-122-2-2-2-21111-1-1-1-1-1-2-2-1-11111-1-2-2222-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-122-2-2-220000-1-111-2-222-1-1111111-1-1-1-10000000000000000
χ402222-2-2-2-2-2-22-122-1-111112-122-2-2-2-21111-1-1-1-1-1-2-2-1-11111-1-2-2222-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2222-2000011-1-122-2-211-1-1-1-1-1-111110000000000000000
χ412222-2-2-2-2-2-2-122222-2-2-2-2-12-1-11111-2-2-2-22222-111-1-11111-122-2-2-1-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000022-2-2000000000000000000002-2-1-111-1-111000000
χ422222-2-2-2-2-2-2-122222-2-2-2-2-12-1-11111-2-2-2-22222-111-1-11111-122-2-2-1-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000-2-22200000000000000000000-2211-1-111-1-1000000
χ432222-2-2-2-2-2-2-122222-2-2-2-2-12-1-11111-2-2-2-22222-111-1-11111-1-2-222-1-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000022-2-200000000000000000000-22-1-11111-1-1000000
χ442222-2-2-2-2-2-2-122222-2-2-2-2-12-1-11111-2-2-2-22222-111-1-11111-1-2-222-1-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000-2-222000000000000000000002-211-1-1-1-111000000
χ4522-2-222-2-22-2222-2-2-222-2-222-2-222-2-222-2-222-2-222-2-2-222-2-220000-2-2-222-2-2222000000000000000000000000000000000000002i−2i2i−2i00000000000000000000002i−2i2i−2i0000000000
χ4622-2-222-2-22-2222-2-2-222-2-222-2-222-2-222-2-222-2-222-2-2-222-2-220000-2-2-222-2-222200000000000000000000000000000000000000−2i2i−2i2i0000000000000000000000−2i2i−2i2i0000000000
χ4722-2-222-2-22-2-122-2-2-222-2-2-1211-1-11122-2-222-2-2-1-1111-1-111-10000111-1-111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000002i−2i2i−2i0000000000000000000000−ii−ii3−33−3000000
χ4822-2-222-2-22-2-122-2-2-222-2-2-1211-1-11122-2-222-2-2-1-1111-1-111-10000111-1-111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000−2i2i−2i2i0000000000000000000000i−ii−i−33−33000000
χ4922-2-222-2-22-2-122-2-2-222-2-2-1211-1-11122-2-222-2-2-1-1111-1-111-10000111-1-111-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000002i−2i2i−2i0000000000000000000000−ii−ii−33−33000000
χ5022-2-222-2-22-2-122-2-2-222-2-2-1211-1-11122-2-222-2-2-1-1111-1-111-10000111-1-111-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000−2i2i−2i2i0000000000000000000000i−ii−i3−33−3000000
χ5122-2-222-2-2-2222-22-2-2-2-22222-2-222-2-222-2-2-2-2222-22-2-2-2-2222000022222-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ5222-2-222-2-2-2222-22-2-2-2-22222-2-222-2-222-2-2-2-2222-22-2-2-2-2222000022222-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ5322-2-2-2-2222-222-22-2-222-2-222-2-2-2-222-2-222-2-22222-2-2-222-2-220000222-2-222-2-2-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ5422-2-2-2-2222-222-22-2-222-2-222-2-2-2-222-2-222-2-22222-2-2-222-2-220000222-2-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ5522-2-2-2-222-22222-2-2-2-2-22222-2-2-2-222-2-22222-2-22-22-2-2-2-22220000-2-2-2-2-222222000000000000000000000000000000000000002i−2i−2i2i00000000000000000000002i−2i−2i2i0000000000
χ5622-2-2-2-222-22222-2-2-2-2-22222-2-2-2-222-2-22222-2-22-22-2-2-2-22220000-2-2-2-2-22222200000000000000000000000000000000000000−2i2i2i−2i0000000000000000000000−2i2i2i−2i0000000000
χ5722-2-2-2-222-22-122-2-2-2-2-222-121111-1-1-2-22222-2-2-11-11111-1-1-1000011111-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000002i−2i−2i2i0000000000000000000000−iii−i3−3−33000000
χ5822-2-2-2-222-22-122-2-2-2-2-222-121111-1-1-2-22222-2-2-11-11111-1-1-1000011111-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000−2i2i2i−2i0000000000000000000000i−i−ii−333−3000000
χ5922-2-2-2-222-22-122-2-2-2-2-222-121111-1-1-2-22222-2-2-11-11111-1-1-1000011111-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000002i−2i−2i2i0000000000000000000000−iii−i−333−3000000
χ6022-2-2-2-222-22-122-2-2-2-2-222-121111-1-1-2-22222-2-2-11-11111-1-1-1000011111-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000−2i2i2i−2i0000000000000000000000i−i−ii3−3−33000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.