Finite Group Databasebeta

← Group #11787408

Character table — Group #11787408

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order12224444223344666666666612121212121212121212121236666666668888121212121212121212122424242424242424242424242424242424242424242424242424242424242424888822444444881212121212121212242424242424242424666612121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1
χ91111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-11-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11-1-1ii−i−ii−iiiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-1ii−i−ii−i
χ101111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-11-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-111ii−i−ii−iiiii−i−i−i−iiiii−i−i−i−i-11-1-1-1-11111−i−iii−ii
χ111111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-11-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11-1-1−i−iii−ii−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-1−i−iii−ii
χ121111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-11-1-111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-111−i−iii−ii−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1-11111ii−i−ii−i
χ131111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-11-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i11-1-1−i−iiii−i−i−i−i−iiiiiiiii−i−i−i−i-1111-1-1-1-111ii−i−i−ii
χ141111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-11-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i-1-111−i−iiii−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1-11111-1-1−i−iiii−i
χ151111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-11-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iii11-1-1ii−i−i−iiiiii−i−i−i−i−i−i−i−iiiii-1111-1-1-1-111−i−iiii−i
χ161111-1-1-1-1-1-1111111-1-1111-1-1111-1-1-1-1-1-111-1-11-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iii-1-111ii−i−i−iiiiii−i−i−i−i−i−i−i−iiiii1-1-1-11111-1-1ii−i−i−ii
χ1722222222222-1222222-1-1222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000000000000022-1-1-1-1-1-1-1-1000000
χ1822222222222-1222222-1-1222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000000000-2-211111111000000
χ1922222222222-1222222-1-1222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000022220000000000000000000000-2-2-1-111-1-111000000
χ2022222222222-1222222-1-1222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110000-2-2-2-200000000000000000000002211-1-111-1-1000000
χ212222222222-1222-1-1-1-122-1-1-12-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222222222-1222-1-1-1-122-1-1-12-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-211111111111111110000000000000000
χ232222222222-1222-1-1-1-122-1-1-12-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-21111111122220000-2-2-2-22211111111-1-1-1-1-1-1-1-10000000000000000
χ242222222222-1222-1-1-1-122-1-1-12-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-1-111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-200002222-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2522222222-2-222-2-222-2-2222-2-22-2-2222222-2-2222-2-222-2-2-2-220000-2-2-22222-2-2-200000000000000000000000000000000222200000000-2-20000000022-2-222-2-20000000000000000
χ2622222222-2-222-2-222-2-2222-2-22-2-2222222-2-2222-2-222-2-2-2-220000-2-2-22222-2-2-200000000000000000000000000000000-2-2-2-2000000002200000000-2-222-2-2220000000000000000
χ2722222222-2-2-12-2-2-1-11122-111211-1-1222211-1-1-1-2-2-1-11111-10000-211-1-1-1-1-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−3222200000000-2-233−3−333−3−3-1-111-1-1110000000000000000
χ2822222222-2-2-12-2-2-1-11122-111211-1-1222211-1-1-1-2-2-1-11111-10000-211-1-1-1-1-21133−3−333−3−300003333−3−3−3−300003333−3−3−3−3-2-2-2-20000000022−3−333−3−33311-1-111-1-10000000000000000
χ2922222222-2-2-12-2-2-1-11122-111211-1-1222211-1-1-1-2-2-1-11111-10000-211-1-1-1-1-211−3−333−3−3330000−3−3−3−333330000−3−3−3−33333222200000000-2-2−3−333−3−333-1-111-1-1110000000000000000
χ3022222222-2-2-12-2-2-1-11122-111211-1-1222211-1-1-1-2-2-1-11111-10000-211-1-1-1-1-211−3−333−3−3330000−3−3−3−333330000−3−3−3−33333-2-2-2-2000000002233−3−333−3−311-1-111-1-10000000000000000
χ312222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002i2i−2i−2i00000000−2i2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ322222-2-2-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2i−2i2i2i000000002i−2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ332222-2-2-2-222-12-2-2-1-1-1-122-1-1-121111-2-2-2-21111-122-1-1-1-1-1-1-10000-2111111-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−333332i2i−2i−2i00000000−2i2ii3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i0000000000000000
χ342222-2-2-2-222-12-2-2-1-1-1-122-1-1-121111-2-2-2-21111-122-1-1-1-1-1-1-10000-2111111-21133−3−3−3−33300003333−3−3−3−30000−3−3−3−33333−2i−2i2i2i000000002i−2i−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii0000000000000000
χ352222-2-2-2-222-12-2-2-1-1-1-122-1-1-121111-2-2-2-21111-122-1-1-1-1-1-1-10000-2111111-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−32i2i−2i−2i00000000−2i2i−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i0000000000000000
χ362222-2-2-2-222-12-2-2-1-1-1-122-1-1-121111-2-2-2-21111-122-1-1-1-1-1-1-10000-2111111-211−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3−2i−2i2i2i000000002i−2ii3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii0000000000000000
χ372222-2-2-2-2-2-22-12222-2-2-1-12-2-2-122-2-2111122-2-2-111-1-11111-122-2-2-1-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000022-2-200000000000000000000002-2-1-1-1-11111000000
χ382222-2-2-2-2-2-22-12222-2-2-1-12-2-2-122-2-2111122-2-2-111-1-11111-122-2-2-1-1-11111-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000-2-2220000000000000000000000-221111-1-1-1-1000000
χ392222-2-2-2-2-2-22-12222-2-2-1-12-2-2-122-2-2111122-2-2-111-1-11111-1-2-222-1-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-1000022-2-20000000000000000000000-22-1-11111-1-1000000
χ402222-2-2-2-2-2-22-12222-2-2-1-12-2-2-122-2-2111122-2-2-111-1-11111-1-2-222-1-1-11111-1-1-1-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-10000-2-22200000000000000000000002-211-1-1-1-111000000
χ412222-2-2-2-2-2-2-1222-1-11122-1112-1-111-2-2-2-2-1-111-1-2-2-1-11111-122-2-22-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2111111112i2i−2i−2i00002i2i−2i−2i2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ422222-2-2-2-2-2-2-1222-1-11122-1112-1-111-2-2-2-2-1-111-1-2-2-1-11111-122-2-22-1-111112-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111−2i−2i2i2i0000−2i−2i2i2i−2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ432222-2-2-2-2-2-2-1222-1-11122-1112-1-111-2-2-2-2-1-111-1-2-2-1-11111-1-2-2222-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-12i2i−2i−2i0000−2i−2i2i2i2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ442222-2-2-2-2-2-2-1222-1-11122-1112-1-111-2-2-2-2-1-111-1-2-2-1-11111-1-2-2222-1-111112-1-11111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1−2i−2i2i2i00002i2i−2i−2i−2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ4522-2-22i−2i2i−2i0022002-2002-2-200-2002i−2i2i2i−2i−2i002i−2i2002-20000-22−2−i2i20002i2i−2i−2i0002−22−2−i2i2−i2i222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300001+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ4622-2-22i−2i2i−2i0022002-2002-2-200-2002i−2i2i2i−2i−2i002i−2i2002-20000-22−2−i2i20002i2i−2i−2i0002−22−2−i2i2−i2i222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ4722-2-22i−2i2i−2i0022002-2002-2-200-2002i−2i2i2i−2i−2i002i−2i2002-20000-2−22i2−i20002i2i−2i−2i000−22−22i2−i2i2−i2−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ4822-2-22i−2i2i−2i0022002-2002-2-200-2002i−2i2i2i−2i−2i002i−2i2002-20000-2−22i2−i20002i2i−2i−2i000−22−22i2−i2i2−i2−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300001+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ4922-2-22i−2i2i−2i00-1200-11−i3i32-21−i3i3-23−3−ii2i2i−2i−2i3−3−ii-100-11−i3−i3i3i312−2−i2i203−3−i−iii03−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ722−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300001+i−1−i1−i−1+i00−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ230000000000000000
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χ1324-4-44-4-4444-4-24-4422-2-2-4-4-22242222-44-44-2-2-2-2-24-422-22-22-20000-4222-22-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-4-4444-4-2-2-4422-2-222-222-222222-22-2-2-2-2-21-22-1-11-11-1100002-1-1-11-11-21100000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i32i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000000000
χ1344-4-44-4-4444-4-2-2-4422-2-222-222-222222-22-2-2-2-2-21-22-1-11-11-1100002-1-1-11-11-211000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000000000
χ1354-4-44-4-444-444-24-4-4-4-4-422444-244-4-42-22-2-4-444-22-2222-22-2-20000-2-2-22-22-2222000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-4-444-44-244-42222-4-4-2-2-24-2-222-44-4422-2-2-2-44222-22-2-200004-2-22-22-2-422000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-4-444-44-2-24-4222222-2-2-2-2-2-2222-22-222-2-212-2-1-1-11-1110000-211-11-112-1-10000000000003i−3i3i−3i−3i3i−3i3i0000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ1384-4-44-4-444-44-2-24-4222222-2-2-2-2-2-2222-22-222-2-212-2-1-1-11-1110000-211-11-112-1-1000000000000−3i3i−3i3i3i−3i3i−3i00003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000

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