Finite Group Databasebeta

← Group #11780431

Character table — Group #11780431

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444448888888888888888888888888888888888836367272727272144
order1222333344446666666666661212121212121212121212121212121222488881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424244666666668812121212121212122424242424242424242424242424242444244884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111111-1-111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1
χ61111111111111111111111111111111111111111-1-111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11
χ81111111111111111111111111111111111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-11111-1
χ9222222222-22-2222222222222222222222222222200-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000022-200000
χ10222222222-22-2222222222222222222222222222200-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000-2-2200000
χ1122222222-22-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000-22222222200-2-2-2-2-2-2-2-2000000000000000000000000
χ1222222222-22-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000002-2-2-2-2-2-2-2-20022222222000000000000000000000000
χ1322222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20020000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000000002-2000
χ1422222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20020000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000000000-22000
χ1522222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1622222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2-2-211111111111100000000
χ1722222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-22222222-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-2-2-2111111-2-2-2-211111111111100000000
χ1822222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-22-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-2-211111122-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1922222-1-1-1-22-2222-1-1-1-1-1-12-1-1-1-2-2111111-2-211111122-2000022-1-1-1-1-1-1-2-211111100000000333333333333−3−3−3−3−3−3−3−3−3−3−3−3-222-1-1-1-1-1-100-2-21111110000333333−3−3−3−3−3−300000000
χ2022222-1-1-1-22-2222-1-1-1-1-1-12-1-1-1-2-2111111-2-211111122-2000022-1-1-1-1-1-1-2-211111100000000−3−3−3−3−3−3−3−3−3−3−3−3333333333333-222-1-1-1-1-1-100-2-21111110000−3−3−3−3−3−333333300000000
χ2122222-1-1-1-22-2222-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2-2000022-1-1-1-1-1-1-2-211111100000000333333333333−3−3−3−3−3−3−3−3−3−3−3−32-2-21111110022-1-1-1-1-1-10000−3−3−3−3−3−333333300000000
χ2222222-1-1-1-22-2222-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2-2000022-1-1-1-1-1-1-2-211111100000000−3−3−3−3−3−3−3−3−3−3−3−33333333333332-2-21111110022-1-1-1-1-1-10000333333−3−3−3−3−3−300000000
χ232222-12-1-12222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000
χ242222-12-1-12222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1222-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-2111111112-1-122-1-1-1-1-2-2-1-122-1-1-1-11111-2-21111-2-2111100000000
χ252222-12-1-12222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-21111-2-211-2-211111111-2-21111-2-2111100000000
χ262222-12-1-12222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-22-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-211111111-211-2-211112211-2-21111-1-1-1-122-1-1-1-122-1-1-1-100000000
χ272222-12-1-1-22-22-1-122-1-1-1-1-12-1-111-2-2111111-2-2111122-20000-1-122-1-1-1-111-2-211113333−3−3−3−300003333−3−3−3−300003333−3−3−3−3-2-1-122-1-1-1-10011-2-2111133−3−30033−3−30033−3−300000000
χ282222-12-1-1-22-22-1-122-1-1-1-1-12-1-111-2-2111111-2-2111122-20000-1-122-1-1-1-111-2-21111−3−3−3−333330000−3−3−3−333330000−3−3−3−33333-2-1-122-1-1-1-10011-2-21111−3−33300−3−33300−3−33300000000
χ292222-12-1-1-22-22-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-2-2-20000-1-122-1-1-1-111-2-211113333−3−3−3−300003333−3−3−3−300003333−3−3−3−3211-2-2111100-1-122-1-1-1-1−3−33300−3−33300−3−33300000000
χ302222-12-1-1-22-22-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-2-2-20000-1-122-1-1-1-111-2-21111−3−3−3−333330000−3−3−3−333330000−3−3−3−33333211-2-2111100-1-122-1-1-1-133−3−30033−3−30033−3−300000000
χ312222-1-12-12222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12222222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ322222-1-12-12222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1222-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1111111111111-2-2-2-2111111111111-2-2-2-22-1-1-1-122-1-1-2-2-1-1-1-122-1-1111111-2-2111111-2-200000000
χ332222-1-12-12222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-222222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-21111-2-211-2-21111-2-211111111-2-2111111-2-200000000
χ342222-1-12-12222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-22-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1111111111111-2-2-2-2111111111111-2-2-2-2-21111-2-211221111-2-211-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ352222-1-12-1-22-22-1-1-1-122-1-1-1-12-11111-2-2111111-2-21122-20000-1-1-1-122-1-11111-2-2113333−3−3−3−3−3−3−3−3000033333333−3−3−3−30000-2-1-1-1-122-1-1001111-2-21133−3−3−3−3003333−3−30000000000
χ362222-1-12-1-22-22-1-1-1-122-1-1-1-12-11111-2-2111111-2-21122-20000-1-1-1-122-1-11111-2-211−3−3−3−3333333330000−3−3−3−3−3−3−3−333330000-2-1-1-1-122-1-1001111-2-211−3−3333300−3−3−3−3330000000000
χ372222-1-12-1-22-22-1-1-1-122-1-1-1-12-11111-2-2111111-2-211-2-2-20000-1-1-1-122-1-11111-2-2113333−3−3−3−3−3−3−3−3000033333333−3−3−3−3000021111-2-21100-1-1-1-122-1-1−3−3333300−3−3−3−3330000000000
χ382222-1-12-1-22-22-1-1-1-122-1-1-1-12-11111-2-2111111-2-211-2-2-20000-1-1-1-122-1-11111-2-211−3−3−3−3333333330000−3−3−3−3−3−3−3−33333000021111-2-21100-1-1-1-122-1-133−3−3−3−3003333−3−30000000000
χ392222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-100000000
χ402222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1221111111111111111-2-2-2-21111-2-2-2-211112-1-1-1-1-1-122-2-2-1-1-1-1-1-12211111111-2-211-2-21100000000
χ412222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-2111111-2-2-2-2111111-2-211111111-2-211-2-21100000000
χ422222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-22-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1221111111111111111-2-2-2-21111-2-2-2-21111-2111111-2-222111111-2-2-1-1-1-1-1-1-1-122-1-122-1-100000000
χ432222-1-1-12-22-22-1-1-1-1-1-122-1-1-12111111-2-2111111-2-222-20000-1-1-1-1-1-122111111-2-23333−3−3−3−33333−3−3−3−30000−3−3−3−300003333-2-1-1-1-1-1-12200111111-2-233−3−333−3−300−3−3003300000000
χ442222-1-1-12-22-22-1-1-1-1-1-122-1-1-12111111-2-2111111-2-222-20000-1-1-1-1-1-122111111-2-2−3−3−3−33333−3−3−3−33333000033330000−3−3−3−3-2-1-1-1-1-1-12200111111-2-2−3−333−3−333003300−3−300000000
χ452222-1-1-12-22-22-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2-2-2-20000-1-1-1-1-1-122111111-2-23333−3−3−3−33333−3−3−3−30000−3−3−3−3000033332111111-2-200-1-1-1-1-1-122−3−333−3−333003300−3−300000000
χ462222-1-1-12-22-22-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2-2-2-20000-1-1-1-1-1-122111111-2-2−3−3−3−33333−3−3−3−33333000033330000−3−3−3−32111111-2-200-1-1-1-1-1-12233−3−333−3−300−3−3003300000000
χ472-22-2222220-20-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2000−i2−i2i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000002i−2i0002−20
χ482-22-2222220-20-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2000−i2−i2i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000−2i2i000−220
χ492-22-2222220-20-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2000i2i2−i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000002i−2i000−220
χ502-22-2222220-20-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2000i2i2−i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000−2i2i0002−20
χ512-2-222222020-22-22-22-22-2-2-2-2-200000000000000002-20−i2i2−i2i22-22-22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i202-22-22-22-2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ522-2-222222020-22-22-22-22-2-2-2-2-200000000000000002-20i2−i2i2−i22-22-22-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i202-22-22-22-2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ532-2-222222020-22-22-22-22-2-2-2-2-20000000000000000-220−i2i2−i2i22-22-22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20-22-22-22-22i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
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χ1354-4-44-2-24-20-404-22-224-4-2222-4223−23−23230023−2323−23−23230023−2300000002-22-2-442-2−232323−2300−2323000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-2-24-20-404-22-224-4-2222-42−232323−2300−2323−232323−2300−232300000002-22-2-442-223−23−23230023−23000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-2-2-240-404-22-22-224-4222-423−2323−23−23230023−2323−23−23230000000002-22-22-2-44−2323−232323−2300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-44-2-2-240-404-22-22-224-4222-4−2323−232323−2300−2323−232323−230000000002-22-22-2-4423−2323−23−232300000000000000000000000000000000000000000000000000000000000000000000000000000

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