Finite Group Databasebeta

← Group #11788689

Character table — Group #11788689

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222334444666666666688881212121236666666668812121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444488881212121212121212242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-1-1-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91-1-111-11111-1-111-1-1-1-1-11-11ii−i−i11-1-111-111-1-1-1-11i−i111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i1-1i−i1-1ii−i−i11-1-1ii−i−i11-1-11-11-1ii−i−i
χ101-1-111-11111-1-111-1-1-1-1-11-11ii−i−i11-1-111-111-1-1-1-11i−i111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i1-1−ii-11ii−i−i11-1-1−i−iii-1-111-11-11−i−iii
χ111-1-111-11111-1-111-1-1-1-1-11-11ii−i−i11-1-111-111-1-1-1-11i−i111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii-11i−i1-1−i−iii-1-111ii−i−i11-1-1-11-11−i−iii
χ121-1-111-11111-1-111-1-1-1-1-11-11ii−i−i11-1-111-111-1-1-1-11i−i111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii-11−ii-11−i−iii-1-111−i−iii-1-1111-11-1ii−i−i
χ131-1-111-11111-1-111-1-1-1-1-11-11−i−iii11-1-111-111-1-1-1-11−ii111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−i-11i−i-11ii−i−i-1-111ii−i−i-1-1111-11-1−i−iii
χ141-1-111-11111-1-111-1-1-1-1-11-11−i−iii11-1-111-111-1-1-1-11−ii111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−i-11−ii1-1ii−i−i-1-111−i−iii11-1-1-11-11ii−i−i
χ151-1-111-11111-1-111-1-1-1-1-11-11−i−iii11-1-111-111-1-1-1-11−ii111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−ii1-1i−i-11−i−iii11-1-1ii−i−i-1-111-11-11ii−i−i
χ161-1-111-11111-1-111-1-1-1-1-11-11−i−iii11-1-111-111-1-1-1-11−ii111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−ii1-1−ii1-1−i−iii11-1-1−i−iii11-1-11-11-1−i−iii
χ1722222222-2-2-2-222222222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ1822222222-2-2-2-222222222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ192222222-1222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ202222222-1222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ212222222-1222222222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-2111111111111000022-2-200000000-1-1-1-1111100000000
χ222222222-1222222222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-222000000001111-1-1-1-100000000
χ23222222-122222-1-1-1-1-1222-1-122222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ24222222-122222-1-1-1-1-1222-1-122222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ25222222-122222-1-1-1-1-1222-1-1-2-2-2-22222-122-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-20000-1-1-1-111110000000000000000
χ26222222-122222-1-1-1-1-1222-1-1-2-2-2-22222-122-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-22200001111-1-1-1-10000000000000000
χ272222-2-2222-2-22-2-22-2-2222222222-2-2-2-22-2-2-2-222-2-22-2-222-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ282222-2-2222-2-22-2-22-2-222222-2-2-2-2-2-2-2-22-2-2-2-222-2-222222-2-222-2-2-2-22222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ292222-2-222-222-2-2-22-2-222222000022222-2-2-2-222-2-2200-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ302222-2-222-222-2-2-22-2-222222000022222-2-2-2-222-2-2200-2-222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ312222-2-22-12-2-22-2-22-2-2-1-1-12222221111-11111-1-111-1-2-2-12-2-2-1-11111-12-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000000000003−33−33−33−300000000
χ322222-2-22-12-2-22-2-22-2-2-1-1-12222221111-11111-1-111-1-2-2-12-2-2-1-11111-12-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-111110000000000000000−33−33−33−3300000000
χ332222-2-22-12-2-22-2-22-2-2-1-1-122-2-2-2-21111-11111-1-111-122-12-2-2-1-11111-12-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000000000003−33−3−33−3300000000
χ342222-2-22-12-2-22-2-22-2-2-1-1-122-2-2-2-21111-11111-1-111-122-12-2-2-1-11111-12-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-10000000000000000−33−333−33−300000000
χ352222-2-2-122-2-2211-111222-1-12222-2-2-2-2-1-2-211-1-111-1-2-22-111-1-111112-1-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-1111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ362222-2-2-122-2-2211-111222-1-12222-2-2-2-2-1-2-211-1-111-1-2-22-111-1-111112-1-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-1111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ372222-2-2-122-2-2211-111222-1-1-2-2-2-2-2-2-2-2-1-2-211-1-111-1222-111-1-111112-1-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ382222-2-2-122-2-2211-111222-1-1-2-2-2-2-2-2-2-2-1-2-211-1-111-1222-111-1-111112-1-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ392-2-222-222-2-22222-2-2-2-2-22-220000-2-22222-222-2-2-2-2200-2-2-22-2-2-2-22222220000000000000000000000000000000000000000000000000000000000002-2-22
χ402-2-222-222-2-22222-2-2-2-2-22-220000-2-22222-222-2-2-2-2200-2-2-22-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000-222-2
χ412-2-222-22-122-2-222-2-2-211-1-222i2i−2i−2i-1-111-1-11-1-11111-12i−2i-122-2-1-1-1-1111-2112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii00002i−2i2-200000000−i−iii-1-11100000000
χ422-2-222-22-122-2-222-2-2-211-1-222i2i−2i−2i-1-111-1-11-1-11111-12i−2i-122-2-1-1-1-1111-2112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000−2i2i-2200000000ii−i−i11-1-100000000
χ432-2-222-22-122-2-222-2-2-211-1-22−2i−2i2i2i-1-111-1-11-1-11111-1−2i2i-122-2-1-1-1-1111-211−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00002i−2i-2200000000−i−iii11-1-100000000
χ442-2-222-22-122-2-222-2-2-211-1-22−2i−2i2i2i-1-111-1-11-1-11111-1−2i2i-122-2-1-1-1-1111-211−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000−2i2i2-200000000ii−i−i-1-11100000000
χ452-2-222-2-1222-2-2-1-1111-2-221-12i2i−2i−2i22-2-2-12-2-1-11111-12i−2i2-1-11-1-1-1-111-2111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii2i−2i2-20000−i−iii-1-1110000000000000000
χ462-2-222-2-1222-2-2-1-1111-2-221-12i2i−2i−2i22-2-2-12-2-1-11111-12i−2i2-1-11-1-1-1-111-2111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii−2i2i-220000ii−i−i11-1-10000000000000000
χ472-2-222-2-1222-2-2-1-1111-2-221-1−2i−2i2i2i22-2-2-12-2-1-11111-1−2i2i2-1-11-1-1-1-111-2111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i2i−2i-220000−i−iii11-1-10000000000000000
χ482-2-222-2-1222-2-2-1-1111-2-221-1−2i−2i2i2i22-2-2-12-2-1-11111-1−2i2i2-1-11-1-1-1-111-2111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i−2i2i2-20000ii−i−i-1-1110000000000000000
χ492-2-22-22222-22-2-2-2-222-2-22-222i2i−2i−2i-2-2222-22-2-2-2-2222−2i2i22-2222-2-222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ502-2-22-22222-22-2-2-2-222-2-22-22−2i−2i2i2i-2-2222-22-2-2-2-22222i−2i22-2222-2-222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ512-2-22-2222-22-22-2-2-222-2-22-22000022-2-22-22-2-2-2-222200-2-22-2-2-222-2-22222000000000000000000000000000000000000000000000000000000002-2-220000
χ522-2-22-2222-22-22-2-2-222-2-22-22000022-2-22-22-2-2-2-222200-2-22-2-2-222-2-2222200000000000000000000000000000000000000000000000000000000-222-20000
χ532-2-22-222-12-22-2-2-2-22211-1-222i2i−2i−2i11-1-1-11-11111-1-1-1−2i2i-12-22-1-111-1-11-2112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2iii−i−iiiii−i−i−i−i0000000000000000−i3i3i3−i3−333−300000000
χ542-2-22-222-12-22-2-2-2-22211-1-222i2i−2i−2i11-1-1-11-11111-1-1-1−2i2i-12-22-1-111-1-11-2112i2i−2i−2i−i−iii−i−i−i−iiiii−2i−2i2i2iii−i−iiiii−i−i−i−i0000000000000000i3−i3−i3i33−3−3300000000
χ552-2-22-222-12-22-2-2-2-22211-1-22−2i−2i2i2i11-1-1-11-11111-1-1-12i−2i-12-22-1-111-1-11-211−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i−i−iii−i−i−i−iiiii0000000000000000−i3i3i3−i33−3−3300000000
χ562-2-22-222-12-22-2-2-2-22211-1-22−2i−2i2i2i11-1-1-11-11111-1-1-12i−2i-12-22-1-111-1-11-211−2i−2i2i2iii−i−iiiii−i−i−i−i2i2i−2i−2i−i−iii−i−i−i−iiiii0000000000000000i3−i3−i3i3−333−300000000
χ572-2-22-22-122-22-2111-1-1-2-221-12i2i−2i−2i-2-222-1-221111-1-1-1−2i2i2-11-1-1-111-1-1-2111−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i000000003−3−33−i3i3i3−i30000000000000000
χ582-2-22-22-122-22-2111-1-1-2-221-12i2i−2i−2i-2-222-1-221111-1-1-1−2i2i2-11-1-1-111-1-1-2111−i−iii2i2i−2i−2i−i−i−i−iiiiiii−i−i−2i−2i2i2iiiii−i−i−i−i00000000−333−3i3−i3−i3i30000000000000000
χ592-2-22-22-122-22-2111-1-1-2-221-1−2i−2i2i2i-2-222-1-221111-1-1-12i−2i2-11-1-1-111-1-1-2111ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii000000003−3−33i3−i3−i3i30000000000000000
χ602-2-22-22-122-22-2111-1-1-2-221-1−2i−2i2i2i-2-222-1-221111-1-1-12i−2i2-11-1-1-111-1-1-2111ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−iii2i2i−2i−2i−i−i−i−iiiii00000000−333−3−i3i3i3−i30000000000000000
χ614444444-2-4-4-4-444444-2-2-24400002222-2-2-2-2-2-2-2-2-2-2002-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2-2-2-2444-2-20000-4-4-4-4-244-2-2-2-2-2-2-200-4222222222-42220000000000000000000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-24444-2-2-2-21-2-2111111144-2-2-2-2111111-2-211-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-2-4-4-4-4-2-2-2-21-2-21111111-4-4-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2000022221-2-21111111002222-1-1-1-1-1-122-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2000022221-2-21111111002222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000
χ674444-4-44-2-444-4-4-44-4-4-2-2-2440000-2-2-2-2-22222-2-222-2002-44422-2-2-2-22-4220000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.