Finite Group Databasebeta

← Group #11777735

Character table — Group #11777735

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order12224444334444666666121212121212121212121212121212123666888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242488888888888888242424242424242424242424242424242466121224242424444488
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
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111ii−i−i111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−ii−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-111-1-1ii−i−i11-1-1i−i
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111ii−i−i111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−ii−i−i−iii11-1-1iiii−i−i−i−i1111-1-1-1-1-11-1-111−i−iii-1-111−ii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111ii−i−i111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−iiii−i−i-1-111−i−i−i−iiiii-1-1-1-111111-111-1-1ii−i−i-1-111−ii
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111ii−i−i111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−ii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-11-1-111−i−iii11-1-1i−i
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111−i−iii111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−ii−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-11-1-111ii−i−i11-1-1−ii
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111−i−iii111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−ii−i−i−iii-1-111iiii−i−i−i−i-1-1-1-111111-111-1-1−i−iii-1-111i−i
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111−i−iii111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−iiii−i−i11-1-1−i−i−i−iiiii1111-1-1-1-1-11-1-111ii−i−i-1-111i−i
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111−i−iii111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−ii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-111-1-1−i−iii11-1-1−ii
χ172222222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222220000-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000002222-2-20000000022-2-222-2-2000000000000000000000000
χ182222222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222220000-2-2-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22200000000-2-222-2-222000000000000000000000000
χ19222222222-12222222-1-1-1-1-1222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022220000000000000000000022-1-1-1-1-1-1-1-1000000
χ20222222222-12222222-1-1-1-1-1222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000000000000-2-211111111000000
χ21222222222-12222222-1-1-1-1-1222222222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000222200000000000000000000-2-21111-1-1-1-1000000
χ22222222222-12222222-1-1-1-1-1222222222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000-2-2-2-20000000000000000000022-1-1-1-11111000000
χ2322222222-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2422222222-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-20000-2-2-2-211111111111111110000000000000000
χ2522222222-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-2111111112222220000-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2622222222-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-20000222211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-12-2-2-2-2-1-1-12222211111111-1-1-1-122-1-1-1-10000-2-21111-1-1-1-1-2-2111133−3−333−3−300003333−3−3−3−300003333−3−3−3−32222-2-200000000-1-111-1-11133−3−333−3−30000000000000000
χ2822222222-12-2-2-2-2-1-1-12222211111111-1-1-1-122-1-1-1-10000-2-21111-1-1-1-1-2-2111133−3−333−3−300003333−3−3−3−300003333−3−3−3−3-2-2-2-2220000000011-1-111-1-1−3−333−3−3330000000000000000
χ2922222222-12-2-2-2-2-1-1-12222211111111-1-1-1-122-1-1-1-10000-2-21111-1-1-1-1-2-21111−3−333−3−3330000−3−3−3−333330000−3−3−3−333332222-2-200000000-1-111-1-111−3−333−3−3330000000000000000
χ3022222222-12-2-2-2-2-1-1-12222211111111-1-1-1-122-1-1-1-10000-2-21111-1-1-1-1-2-21111−3−333−3−3330000−3−3−3−333330000−3−3−3−33333-2-2-2-2220000000011-1-111-1-133−3−333−3−30000000000000000
χ312222-2-2-2-22222-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-222220000-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000002i2i−2i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-222220000-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000000000−2i−2i2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ332222-2-2-2-22-1-2-222222-1-1-111-2-2-2-22222-2-2-2-211-1-1-1-12i2i−2i−2i-1-1-1-1-1-111111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii0000002i2i−2i−2i000000000000000000002-2-1-111−i−iii000000
χ342222-2-2-2-22-1-2-222222-1-1-111-2-2-2-22222-2-2-2-211-1-1-1-12i2i−2i−2i-1-1-1-1-1-111111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii000000−2i−2i2i2i00000000000000000000-2211-1-1ii−i−i000000
χ352222-2-2-2-22-1-2-222222-1-1-111-2-2-2-22222-2-2-2-211-1-1-1-1−2i−2i2i2i-1-1-1-1-1-11111111111−2i−2i−2i−2i2i2i2i2iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i0000002i2i−2i−2i00000000000000000000-2211-1-1−i−iii000000
χ362222-2-2-2-22-1-2-222222-1-1-111-2-2-2-22222-2-2-2-211-1-1-1-1−2i−2i2i2i-1-1-1-1-1-11111111111−2i−2i−2i−2i2i2i2i2iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i000000−2i−2i2i2i000000000000000000002-2-1-111ii−i−i000000
χ372222-2-2-2-2-1222-2-2-1-1-1222-2-2-1-1-1-111111111-2-2-1-1-1-10000-2-21111111122-1-1-1-1−i3−i3i3i3i3i3−i3−i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i32i2i−2i−2i−2i2i00000000−i−iiiii−i−i−3−33333−3−30000000000000000
χ382222-2-2-2-2-1222-2-2-1-1-1222-2-2-1-1-1-111111111-2-2-1-1-1-10000-2-21111111122-1-1-1-1−i3−i3i3i3i3i3−i3−i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3−2i−2i2i2i2i−2i00000000ii−i−i−i−iii33−3−3−3−3330000000000000000
χ392222-2-2-2-2-1222-2-2-1-1-1222-2-2-1-1-1-111111111-2-2-1-1-1-10000-2-21111111122-1-1-1-1i3i3−i3−i3−i3−i3i3i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i32i2i−2i−2i−2i2i00000000−i−iiiii−i−i33−3−3−3−3330000000000000000
χ402222-2-2-2-2-1222-2-2-1-1-1222-2-2-1-1-1-111111111-2-2-1-1-1-10000-2-21111111122-1-1-1-1i3i3−i3−i3−i3−i3i3i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3−2i−2i2i2i2i−2i00000000ii−i−i−i−iii−3−33333−3−30000000000000000
χ412222-2-2-2-2-12-2-222-1-1-1222-2-21111-1-1-1-11111-2-2-1-1-1-12i2i−2i−2i22-1-1-1-11111-2-21111−i−i−i−iiiii2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii2i2i−2i−2i2i−2i000022-2-2−i−i−i−iiiii-1-1-1-111110000000000000000
χ422222-2-2-2-2-12-2-222-1-1-1222-2-21111-1-1-1-11111-2-2-1-1-1-12i2i−2i−2i22-1-1-1-11111-2-21111−i−i−i−iiiii2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii−2i−2i2i2i−2i2i0000-2-222iiii−i−i−i−i1111-1-1-1-10000000000000000
χ432222-2-2-2-2-12-2-222-1-1-1222-2-21111-1-1-1-11111-2-2-1-1-1-1−2i−2i2i2i22-1-1-1-11111-2-21111iiii−i−i−i−i−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i2i2i−2i−2i2i−2i0000-2-222−i−i−i−iiiii1111-1-1-1-10000000000000000
χ442222-2-2-2-2-12-2-222-1-1-1222-2-21111-1-1-1-11111-2-2-1-1-1-1−2i−2i2i2i22-1-1-1-11111-2-21111iiii−i−i−i−i−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i2i2i−2i2i000022-2-2iiii−i−i−i−i-1-1-1-111110000000000000000
χ452-22-22i−2i2i−2i2200002-2-22-2-22i−2i000000002i2i−2i−2i2i−2i22-2-21+i−1−i1−i−1+i0000002i2i−2i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000002−2−i2i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002−22−2−i2i2−i2i20000000000000000
χ462-22-22i−2i2i−2i2200002-2-22-2-22i−2i000000002i2i−2i−2i2i−2i22-2-21+i−1−i1−i−1+i0000002i2i−2i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−22i2−i2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−22−22i2−i2i2−i20000000000000000
χ472-22-22i−2i2i−2i2200002-2-22-2-22i−2i000000002i2i−2i−2i2i−2i22-2-2−1−i1+i−1+i1−i0000002i2i−2i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000−22i2−i22ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−22−22i2−i2i2−i20000000000000000
χ482-22-22i−2i2i−2i2200002-2-22-2-22i−2i000000002i2i−2i−2i2i−2i22-2-2−1−i1+i−1+i1−i0000002i2i−2i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000002−2−i2i2−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002−22−2−i2i2−i2i20000000000000000
χ492-22-22i−2i2i−2i-120000-1112-2-22i−2i−i3−i3i3i333−3−3−i−iii2i−2i-1-1111+i−1−i1−i−1+i0033−3−3−i−iii00−i3−i3i3i3−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ141+i1+i−1−i−1−i−ζ4+ζ14−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ20+ζ22−ζ20+ζ22ζ20−ζ22ζ20−ζ221−i1−i−1+i−1+i−ζ20−ζ22−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ4−ζ14−ζ4−ζ14ζ4+ζ14ζ4+ζ142ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000002−2−i2i2−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.