Finite Group Databasebeta

← Group #11868612

Character table — Group #11868612

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order1222334444666666121212124444346668888121212121212121212121212242424242424242422446666121212121212121212242424242424242424242424224448888121212122424242424242424446612124444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1
χ91111111-1-11111111111111111-111111-1-11-1-1-1-1-1-1111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1-11-11
χ101111111-1-11111111111111111-111111-1-11-1-1-1-1-1-1111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1111-11-1
χ111111111-1-11111111111111111-1111-1-1111-1-1-1-1-1-111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-111-1-11-11-1
χ121111111-1-11111111111111111-1111-1-1111-1-1-1-1-1-111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-111-1-111-11-11
χ131111111-1-111111111111-1-1-1-11-111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111111-111-1-1-1-111-111-1
χ141111111-1-111111111111-1-1-1-11-111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-11111-11-1-11111-1-11-1-11
χ151111111-1-111111111111-1-1-1-11-1111-1-1111-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111111111-1-1-1-1-1111-1-1-1-1111-1-11
χ161111111-1-111111111111-1-1-1-11-1111-1-1111-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-111111111-1-1-1-11-1-1-11111-1-1-111-1
χ17222222-222-2222222-2-2-2-222222-22220000-222-2-222-2-2-2-2-200000000-2-222-2-2-2-22222-222-2-200000000000000-200000022-2-20000000000000000000000
χ18222222-222-2222222-2-2-2-2-2-2-2-22-22220000-222-2-222-2-2-2-2-20000000022-2-22222-2-2-2-2-222-2-2000000000000002000000-2-2220000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-22222222220000-2-2-222-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-222222-2-222000000000000002000000-2-2220000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-2-2-2-2-2222220000-2-2-222-2-2-2-2-2-2-20000000022222222-2-2-2-22-2-22200000000000000-200000022-2-20000000000000000000000
χ2122222-12222-1222-1-122220000-12-1-1-12222-12222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122022000000000000000022-1-1-1-10000-1-100
χ2222222-12222-1222-1-122220000-12-1-1-12222-12222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-20000000000000000-2-2111100001100
χ2322222-12222-1222-1-122220000-12-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111220220000000000000000-2-2-1-1-1-100001100
χ2422222-12222-1222-1-122220000-12-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111-2-20-2-200000000000000002211110000-1-100
χ2522222-12-2-22-1222-1-122220000-1-2-1-1-122-2-2-1-2-2-2-211-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-1111111220-2-200000000000000002-2-1-11100001-100
χ2622222-12-2-22-1222-1-122220000-1-2-1-1-122-2-2-1-2-2-2-211-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-1111111-2-20220000000000000000-2211-1-10000-1100
χ2722222-12-2-22-1222-1-122220000-1-2-1-1-1-2-222-1-2-2-2-211-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-1220-2-20000000000000000-22-1-1110000-1100
χ2822222-12-2-22-1222-1-122220000-1-2-1-1-1-2-222-1-2-2-2-211-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-1-2-202200000000000000002-211-1-100001-100
χ292222-1222222-1-1-122-1-1-1-12222-12-1-1-122222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1002002222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222-1222222-1-1-122-1-1-1-12222-12-1-1-1-2-2-2-22-1-1-1-122-1-12-1-1111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-2111100200-2-2-2-2-1-1-1-11111111100000000000000
χ312222-1222222-1-1-122-1-1-1-1-2-2-2-2-12-1-1-122222-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-100-200-2-2-2-211111111111100000000000000
χ322222-1222222-1-1-122-1-1-1-1-2-2-2-2-12-1-1-1-2-2-2-22-1-1-1-122-1-12-1-111111111-2-2-2-2111111112-1-1-1-1-2-21111-2-2111100-20022221111-1-1-1-1-1-1-1-100000000000000
χ332222-122-2-222-1-1-122-1-1-1-12222-1-2-1-1-122-2-221111-2-2-1-12-1-1-1-1-1-1111122-2-2-1-1-1-1-1-1-1-1-2111122-1-1-1-1-2-2111100-20022-2-21111-1-1-1-1111100000000000000
χ342222-122-2-222-1-1-122-1-1-1-12222-1-2-1-1-1-2-22221111-2-2-1-12-1-11111-1-1-1-122-2-2-1-1-1-1-1-1-1-1-21111-2-2111122-1-1-1-100-200-2-22211111111-1-1-1-100000000000000
χ352222-122-2-222-1-1-122-1-1-1-1-2-2-2-2-1-2-1-1-122-2-221111-2-2-1-12-1-1-1-1-1-11111-2-22211111111-2111122-1-1-1-1-2-2111100200-2-222-1-1-1-11111-1-1-1-100000000000000
χ362222-122-2-222-1-1-122-1-1-1-1-2-2-2-2-1-2-1-1-1-2-22221111-2-2-1-12-1-11111-1-1-1-1-2-22211111111-21111-2-2111122-1-1-1-10020022-2-2-1-1-1-1-1-1-1-1111100000000000000
χ372222-12-222-22-1-1-12211112222-1-2-1-1-10000-2-1-1112211-21133−3−333−3−3-2-2221111-1-1-1-1-2-1-1110033−3−30033−3−300-2000000-1-11133−3−333−3−300000000000000
χ382222-12-222-22-1-1-12211112222-1-2-1-1-10000-2-1-1112211-211−3−333−3−333-2-2221111-1-1-1-1-2-1-11100−3−33300−3−33300-2000000-1-111−3−333−3−33300000000000000
χ392222-12-222-22-1-1-1221111-2-2-2-2-1-2-1-1-10000-2-1-1112211-21133−3−333−3−322-2-2-1-1-1-11111-2-1-1110033−3−30033−3−300200000011-1-1−3−333−3−33300000000000000
χ402222-12-222-22-1-1-1221111-2-2-2-2-1-2-1-1-10000-2-1-1112211-211−3−333−3−33322-2-2-1-1-1-11111-2-1-11100−3−33300−3−33300200000011-1-133−3−333−3−300000000000000
χ412222-12-2-2-2-22-1-1-12211112222-12-1-1-10000-211-1-1-2-211-21133−3−3−3−333-2-2-2-21111-1-1-1-1211-1-10033−3−300−3−33300200000011-1-133−3−3−3−33300000000000000
χ422222-12-2-2-2-22-1-1-12211112222-12-1-1-10000-211-1-1-2-211-211−3−33333−3−3-2-2-2-21111-1-1-1-1211-1-100−3−3330033−3−300200000011-1-1−3−33333−3−300000000000000
χ432222-12-2-2-2-22-1-1-1221111-2-2-2-2-12-1-1-10000-211-1-1-2-211-21133−3−3−3−3332222-1-1-1-11111211-1-10033−3−300−3−33300-2000000-1-111−3−33333−3−300000000000000
χ442222-12-2-2-2-22-1-1-1221111-2-2-2-2-12-1-1-10000-211-1-1-2-211-211−3−33333−3−32222-1-1-1-11111211-1-100−3−3330033−3−300-2000000-1-11133−3−3−3−33300000000000000
χ4522-2-222200-222-2-2-2-222-2-222-2-2202-2-20000200000022-2-2-2000000002-20022-2-222-2-2000000000000000002-20000000000000000000002-2002-2000000
χ4622-2-222200-222-2-2-2-222-2-222-2-2202-2-20000200000022-2-2-2000000002-20022-2-222-2-200000000000000000-22000000000000000000000-2200-22000000
χ4722-2-222200-222-2-2-2-222-2-2-2-222202-2-20000200000022-2-2-200000000-2200-2-222-2-222000000000000000002-20000000000000000000002-200-22000000
χ4822-2-222200-222-2-2-2-222-2-2-2-222202-2-20000200000022-2-2-200000000-2200-2-222-2-22200000000000000000-22000000000000000000000-22002-2000000
χ4922-2-222-200222-2-2-2-2-2-22222-2-2202-2-20000-2000000-2-222200000000-2200-2-22222-2-2000000000000000000002i−2i000000000000000000002i−2i002i−2i0000
χ5022-2-222-200222-2-2-2-2-2-22222-2-2202-2-20000-2000000-2-222200000000-2200-2-22222-2-200000000000000000000−2i2i00000000000000000000−2i2i00−2i2i0000
χ5122-2-222-200222-2-2-2-2-2-222-2-222202-2-20000-2000000-2-2222000000002-20022-2-2-2-222000000000000000000002i−2i000000000000000000002i−2i00−2i2i0000
χ5222-2-222-200222-2-2-2-2-2-222-2-222202-2-20000-2000000-2-2222000000002-20022-2-2-2-22200000000000000000000−2i2i00000000000000000000−2i2i002i−2i0000
χ532-2-222202i−2i0-2-22-22-200002i−2i2i−2i20-22-2−i2i22−202i−2i002i−2i00000−i2i2−i2i22−22−2002-200002i−2i2i−2i02i−2i00−i2i2−i2i2−i2i22−22−22−2000002−2−i2i22-2002−22−2−i2i2−i2i200000000000000
χ542-2-222202i−2i0-2-22-22-200002i−2i2i−2i20-22-2i2−i2−2202i−2i002i−2i00000i2−i2i2−i2−22−22002-200002i−2i2i−2i02i−2i00i2−i2i2−i2i2−i2−22−22−2200000−22i2−i22-200−22−22i2−i2i2−i200000000000000
χ552-2-222202i−2i0-2-22-22-20000−2i2i−2i2i20-22-2−i2i22−202i−2i002i−2i00000−i2i2−i2i22−22−200-220000−2i2i−2i2i02i−2i00−i2i2−i2i2−i2i22−22−22−200000−22i2−i2-2200−22−22i2−i2i2−i200000000000000
χ562-2-222202i−2i0-2-22-22-20000−2i2i−2i2i20-22-2i2−i2−2202i−2i002i−2i00000i2−i2i2−i2−22−2200-220000−2i2i−2i2i02i−2i00i2−i2i2−i2i2−i2−22−22−22000002−2−i2i2-22002−22−2−i2i2−i2i200000000000000
χ572-2-22220−2i2i0-2-22-22-200002i−2i2i−2i20-22-2−i2i2−220−2i2i00−2i2i00000−i2i2−i2i2−22−2200-2200002i−2i2i−2i0−2i2i00−i2i2−i2i2−i2i2−22−22−22000002−2i2−i2-22002−22−2i2−i2i2−i200000000000000
χ582-2-22220−2i2i0-2-22-22-200002i−2i2i−2i20-22-2i2−i22−20−2i2i00−2i2i00000i2−i2i2−i22−22−200-2200002i−2i2i−2i0−2i2i00i2−i2i2−i2i2−i22−22−22−200000−22−i2i2-2200−22−22−i2i2−i2i200000000000000
χ592-2-22220−2i2i0-2-22-22-20000−2i2i−2i2i20-22-2−i2i2−220−2i2i00−2i2i00000−i2i2−i2i2−22−22002-20000−2i2i−2i2i0−2i2i00−i2i2−i2i2−i2i2−22−22−2200000−22−i2i22-200−22−22−i2i2−i2i200000000000000
χ602-2-22220−2i2i0-2-22-22-20000−2i2i−2i2i20-22-2i2−i22−20−2i2i00−2i2i00000i2−i2i2−i22−22−2002-20000−2i2i−2i2i0−2i2i00i2−i2i2−i2i2−i22−22−22−2000002−2i2−i22-2002−22−2i2−i2i2−i200000000000000
χ612-2-22-1202i−2i0-21-112-23−33−32i−2i2i−2i-101-11−i2i22−20−ii−i3i32i−2i3−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7002-2−i3i3−i3i3−ii−ii0−ii−i3i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000002−2−i2i2-113−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ622-2-22-1202i−2i0-21-112-23−33−32i−2i2i−2i-101-11i2−i2−220−ii−i3i32i−2i3−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7002-2−i3i3−i3i3−ii−ii0−ii−i3i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000−22i2−i2-113−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ632-2-22-1202i−2i0-21-112-23−33−3−2i2i−2i2i-101-11−i2i22−20−ii−i3i32i−2i3−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700-22i3−i3i3−i3i−ii−i0−ii−i3i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000−22i2−i21-1−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ642-2-22-1202i−2i0-21-112-23−33−3−2i2i−2i2i-101-11i2−i2−220−ii−i3i32i−2i3−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700-22i3−i3i3−i3i−ii−i0−ii−i3i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000002−2−i2i21-1−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.