Finite Group Databasebeta

← Group #11789999

Character table — Group #11789999

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122244442233446666661212121212121212366666666666888812121212121212121212121224242424242424242424242424242424242424242424242424242424242424242444668888121212121212242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111i−ii−i11-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−ii−ii11-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1i−ii−i-1-11111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−ii−ii-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-111i−i−ii-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-111−iii−i-1-111-1-1−i−iiiii−i−iii−i−i−i−iii
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-1-1i−i−ii11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-1-1−iii−i11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1722222222222-122222-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-10000-1-1-1-1-1-10000000000000000
χ1822222222222-122222-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21100001111110000000000000000
χ1922222222222-122222-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-2-22-1-100001111-1-10000000000000000
χ2022222222222-122222-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-222-2110000-1-1-1-1110000000000000000
χ212222222222-1222-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000002222000000-1-1-1-1-1-1-1-100000000
χ222222222222-1222-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-2-20000001111111100000000
χ232222222222-1222-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100000022-2-2000000-1-1-1-1111100000000
χ242222222222-1222-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000000-2-2220000001111-1-1-1-100000000
χ2522222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-220000-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-2
χ2622222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-220000-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000000000-22-22
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ292222-2-2-2-2-2-22-122222-1-1-11111-2-2-2-2-1-2-211-1-11111-122-2-22-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2-1-10000-1-111110000000000000000
χ302222-2-2-2-2-2-22-122222-1-1-11111-2-2-2-2-1-2-211-1-11111-122-2-22-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22211000011-1-1-1-10000000000000000
χ312222-2-2-2-2-2-22-122222-1-1-11111-2-2-2-2-1-2-211-1-11111-1-2-2222-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-12-22-2-1-1000011-1-1110000000000000000
χ322222-2-2-2-2-2-22-122222-1-1-11111-2-2-2-2-1-2-211-1-11111-1-2-2222-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-22-22110000-1-111-1-10000000000000000
χ332222-2-2-2-2-2-2-1222-1-1-1222-2-2-2-21111-111-2-2-1-11111-122-2-2-12-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000002i−2i2i−2i000000−i−iii−i−iii00000000
χ342222-2-2-2-2-2-2-1222-1-1-1222-2-2-2-21111-111-2-2-1-11111-122-2-2-12-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000−2i2i−2i2i000000ii−i−iii−i−i00000000
χ352222-2-2-2-2-2-2-1222-1-1-1222-2-2-2-21111-111-2-2-1-11111-1-2-222-12-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000002i−2i−2i2i000000−i−iiiii−i−i00000000
χ362222-2-2-2-2-2-2-1222-1-1-1222-2-2-2-21111-111-2-2-1-11111-1-2-222-12-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000−2i2i2i−2i000000ii−i−i−i−iii00000000
χ372-2-2222-2-22-222-22-2-22-2-2222-2-222-2-222-22-2-2-222-2-220000-2-2-2-222-2-22222000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ382-2-2222-2-22-222-22-2-22-2-2222-2-222-2-222-22-2-2-222-2-220000-2-2-2-222-2-2222200000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ392-2-2222-2-2-22222-2-2-22-2-2222-2-222-2-22-22-22-2-2-2-22222i−2i2i−2i222222-2-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ402-2-2222-2-2-22222-2-2-22-2-2222-2-222-2-22-22-22-2-2-2-2222−2i2i−2i2i222222-2-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ412-2-2222-2-2-222-12-2-2-2211-1-1-11122-2-2-1-221-11111-1-1-12i−2i2i−2i2-1-1-1-1-111-21112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii0000−i3i300003−33−3−i3i30000000000000000
χ422-2-2222-2-2-222-12-2-2-2211-1-1-11122-2-2-1-221-11111-1-1-12i−2i2i−2i2-1-1-1-1-111-21112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii0000i3−i30000−33−33i3−i30000000000000000
χ432-2-2222-2-2-222-12-2-2-2211-1-1-11122-2-2-1-221-11111-1-1-1−2i2i−2i2i2-1-1-1-1-111-2111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i0000−i3i30000−33−33−i3i30000000000000000
χ442-2-2222-2-2-222-12-2-2-2211-1-1-11122-2-2-1-221-11111-1-1-1−2i2i−2i2i2-1-1-1-1-111-2111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i0000i3−i300003−33−3i3−i30000000000000000
χ452-2-2222-2-2-22-122-211-1-2-2222-2-2-1-111-11-1-221111-1-1-12i−2i2i−2i-12-1-1-1-1111-211−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000−i3i3−i3i33−33−300000000
χ462-2-2222-2-2-22-122-211-1-2-2222-2-2-1-111-11-1-221111-1-1-12i−2i2i−2i-12-1-1-1-1111-211−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000i3−i3i3−i3−33−3300000000
χ472-2-2222-2-2-22-122-211-1-2-2222-2-2-1-111-11-1-221111-1-1-1−2i2i−2i2i-12-1-1-1-1111-211ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000−i3i3−i3i3−33−3300000000
χ482-2-2222-2-2-22-122-211-1-2-2222-2-2-1-111-11-1-221111-1-1-1−2i2i−2i2i-12-1-1-1-1111-211ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000i3−i3i3−i33−33−300000000
χ492-2-22-2-2222-2222-2-2-22-2-22-2-222-2-22222-22-2-2-222-2-222i−2i−2i2i2222-2-222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ502-2-22-2-2222-2222-2-2-22-2-22-2-222-2-22222-22-2-2-222-2-22−2i2i2i−2i2222-2-222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ512-2-22-2-2222-22-12-2-2-2211-111-1-1-2-222-12-2-1111-1-111-12i−2i−2i2i2-1-1-111-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2iii−i−iiiii−i−i−i−i0000−i3i300003−3−33i3−i30000000000000000
χ522-2-22-2-2222-22-12-2-2-2211-111-1-1-2-222-12-2-1111-1-111-12i−2i−2i2i2-1-1-111-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2iii−i−iiiii−i−i−i−i0000i3−i30000−333−3−i3i30000000000000000
χ532-2-22-2-2222-22-12-2-2-2211-111-1-1-2-222-12-2-1111-1-111-1−2i2i2i−2i2-1-1-111-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i−i−iii−i−i−i−iiiii0000−i3i30000−333−3i3−i30000000000000000
χ542-2-22-2-2222-22-12-2-2-2211-111-1-1-2-222-12-2-1111-1-111-1−2i2i2i−2i2-1-1-111-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i−i−iii−i−i−i−iiiii0000i3−i300003−3−33−i3i30000000000000000
χ552-2-22-2-2222-2-122-211-1-2-22-2-22211-1-1-1-112-211-1-111-12i−2i−2i2i-12-1-111-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i00000000000000003−3−33i3−i3−i3i300000000
χ562-2-22-2-2222-2-122-211-1-2-22-2-22211-1-1-1-112-211-1-111-12i−2i−2i2i-12-1-111-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000−333−3−i3i3i3−i300000000
χ572-2-22-2-2222-2-122-211-1-2-22-2-22211-1-1-1-112-211-1-111-1−2i2i2i−2i-12-1-111-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii00000000000000003−3−33−i3i3i3−i300000000
χ582-2-22-2-2222-2-122-211-1-2-22-2-22211-1-1-1-112-211-1-111-1−2i2i2i−2i-12-1-111-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000−333−3i3−i3−i3i300000000
χ592-2-22-2-222-2222-22-2-22-2-22-2-222-2-2222-22-22-2-2-2-22220000-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000000000002-2-220000
χ602-2-22-2-222-2222-22-2-22-2-22-2-222-2-2222-22-22-2-2-2-22220000-2-2-2-2-2-222222200000000000000000000000000000000000000000000000000000000-222-20000
χ614444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-211111114444-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ624444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-4-4-4-4-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6344444444-4-44-2-4-4444-2-2-2-2-2-2-24444-2-4-422-2-22222-20000-4222-2-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000
χ6444444444-4-4-24-4-4-2-2-24444444-2-2-2-2-222-4-4-2-22222-200002-422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000
χ6544444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-11000022-1-1111122-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000
χ6644444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-11000022-1-1111122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000
χ674444-4-4-4-4444-2-4-4444-2-2-22222-4-4-4-4-244-2-2-2-2-2-2-2-2-20000-42222222-42220000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.