Finite Group Databasebeta

← Group #11865761

Character table — Group #11865761

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order122233444466666612121212444434666888812121212121212121212121224242424242424242244666612121212121212121224242424242424242424242444444888812121212242424242424242444121212122244121222
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
χ91111111-1-11111111111111111-111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1111-11-1
χ101111111-1-11111111111111111-111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-11-11
χ111111111-1-11111111111111111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-11-11
χ121111111-1-11111111111111111-1111-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-1-11111-1-11-11-1
χ131111111-1-111111111111-1-1-1-11-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111111-111-1-111-1-11-1-11
χ141111111-1-111111111111-1-1-1-11-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-11111-11-1-111-1-111-111-1
χ151111111-1-111111111111-1-1-1-11-1111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111111111-1-1-1-1-1111-1-111-1-1-111-1
χ161111111-1-111111111111-1-1-1-11-1111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-111111111-1-1-1-11-1-1-111-1-1111-1-11
χ17222222-222-2222222-2-2-2-222222-222200002222-2-2-2-2-2-2-2-200000000-2-222-2-2-2-22222-222-2-200000000000000-200000022-2-20000000000000000000000
χ18222222-222-2222222-2-2-2-2-2-2-2-22-222200002222-2-2-2-2-2-2-2-20000000022-2-22222-2-2-2-2-222-2-2000000000000002000000-2-2220000000000000000000000
χ19222222-2-2-2-2222222-2-2-2-22222222220000-2-2-2-222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-222222-2-222000000000000002000000-2-2220000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-2-2-2-2-2222220000-2-2-2-222-2-2-2-2-2-20000000022222222-2-2-2-22-2-22200000000000000-200000022-2-20000000000000000000000
χ2122222-122222-1-1-122-1-1-1-12222-12-1-1-1222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1002002222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-122222-1-1-122-1-1-1-12222-12-1-1-1-2-2-2-222-1-1-1-12-1-12-1-1111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-2111100200-2-2-2-2-1-1-1-11111111100000000000000
χ2322222-122222-1-1-122-1-1-1-1-2-2-2-2-12-1-1-1222222-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-100-200-2-2-2-211111111111100000000000000
χ2422222-122222-1-1-122-1-1-1-1-2-2-2-2-12-1-1-1-2-2-2-222-1-1-1-12-1-12-1-111111111-2-2-2-2111111112-1-1-1-1-2-21111-2-2111100-20022221111-1-1-1-1-1-1-1-100000000000000
χ2522222-12-2-222-1-1-122-1-1-1-12222-1-2-1-1-122-2-2-2-211112-1-12-1-1-1-1-1-1111122-2-2-1-1-1-1-1-1-1-1-2111122-1-1-1-1-2-2111100-20022-2-21111-1-1-1-1111100000000000000
χ2622222-12-2-222-1-1-122-1-1-1-12222-1-2-1-1-1-2-222-2-211112-1-12-1-11111-1-1-1-122-2-2-1-1-1-1-1-1-1-1-21111-2-2111122-1-1-1-100-200-2-22211111111-1-1-1-100000000000000
χ2722222-12-2-222-1-1-122-1-1-1-1-2-2-2-2-1-2-1-1-122-2-2-2-211112-1-12-1-1-1-1-1-11111-2-22211111111-2111122-1-1-1-1-2-2111100200-2-222-1-1-1-11111-1-1-1-100000000000000
χ2822222-12-2-222-1-1-122-1-1-1-1-2-2-2-2-1-2-1-1-1-2-222-2-211112-1-12-1-11111-1-1-1-1-2-22211111111-21111-2-2111122-1-1-1-10020022-2-2-1-1-1-1-1-1-1-1111100000000000000
χ2922222-1-222-22-1-1-12211112222-1-2-1-1-1000022-1-111-211-21133−3−333−3−3-2-2221111-1-1-1-1-2-1-1110033−3−30033−3−300-2000000-1-11133−3−333−3−300000000000000
χ3022222-1-222-22-1-1-12211112222-1-2-1-1-1000022-1-111-211-211−3−333−3−333-2-2221111-1-1-1-1-2-1-11100−3−33300−3−33300-2000000-1-111−3−333−3−33300000000000000
χ3122222-1-222-22-1-1-1221111-2-2-2-2-1-2-1-1-1000022-1-111-211-21133−3−333−3−322-2-2-1-1-1-11111-2-1-1110033−3−30033−3−300200000011-1-1−3−333−3−33300000000000000
χ3222222-1-222-22-1-1-1221111-2-2-2-2-1-2-1-1-1000022-1-111-211-211−3−333−3−33322-2-2-1-1-1-11111-2-1-11100−3−33300−3−33300200000011-1-133−3−333−3−300000000000000
χ3322222-1-2-2-2-22-1-1-12211112222-12-1-1-10000-2-211-1-1-211-21133−3−3−3−333-2-2-2-21111-1-1-1-1211-1-10033−3−300−3−33300200000011-1-133−3−3−3−33300000000000000
χ3422222-1-2-2-2-22-1-1-12211112222-12-1-1-10000-2-211-1-1-211-211−3−33333−3−3-2-2-2-21111-1-1-1-1211-1-100−3−3330033−3−300200000011-1-1−3−33333−3−300000000000000
χ3522222-1-2-2-2-22-1-1-1221111-2-2-2-2-12-1-1-10000-2-211-1-1-211-21133−3−3−3−3332222-1-1-1-11111211-1-10033−3−300−3−33300-2000000-1-111−3−33333−3−300000000000000
χ3622222-1-2-2-2-22-1-1-1221111-2-2-2-2-12-1-1-10000-2-211-1-1-211-211−3−33333−3−32222-1-1-1-11111211-1-100−3−3330033−3−300-2000000-1-11133−3−3−3−33300000000000000
χ372222-122222-1222-1-122220000-12-1-1-12222-1-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122022000000000000000022-1-1-1-10000-1-100
χ382222-122222-1222-1-122220000-12-1-1-12222-1-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-20000000000000000-2-2111100001100
χ392222-122222-1222-1-122220000-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111220220000000000000000-2-2-1-1-1-100001100
χ402222-122222-1222-1-122220000-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111-2-20-2-200000000000000002211110000-1-100
χ412222-122-2-22-1222-1-122220000-1-2-1-1-122-2-211-2-2-2-2-1-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-1111111220-2-200000000000000002-2-1-1110000-1100
χ422222-122-2-22-1222-1-122220000-1-2-1-1-122-2-211-2-2-2-2-1-1-1-1-1-12222-2-2-2-200000000000011111-1-1-1-1-1-1111111-2-20220000000000000000-2211-1-100001-100
χ432222-122-2-22-1222-1-122220000-1-2-1-1-1-2-22211-2-2-2-2-1-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-1220-2-20000000000000000-22-1-11100001-100
χ442222-122-2-22-1222-1-122220000-1-2-1-1-1-2-22211-2-2-2-2-1-1-1-1-1-1-2-2-2-2222200000000000011111111111-1-1-1-1-1-1-2-202200000000000000002-211-1-10000-1100
χ452-22-22202-2022-2-2-2-200002i2i−2i−2i202-2-22−22−22-22-2000000002−22−22−22−2002i−2i00002i2i−2i−2i02-2002−22−22−22−22−22−200000−i2i2−i2i22i−2i00−i2i2−i2i2−i2i2−i2i200000000000000
χ462-22-22202-2022-2-2-2-200002i2i−2i−2i202-2-2−22−222-22-200000000−22−22−22−22002i−2i00002i2i−2i−2i02-200−22−22−22−22−22−2200000i2−i2i2−i22i−2i00i2−i2i2−i2i2−i2i2−i200000000000000
χ472-22-22202-2022-2-2-2-20000−2i−2i2i2i202-2-22−22−22-22-2000000002−22−22−22−200−2i2i0000−2i−2i2i2i02-2002−22−22−22−22−22−200000i2−i2i2−i2−2i2i00i2−i2i2−i2i2−i2i2−i200000000000000
χ482-22-22202-2022-2-2-2-20000−2i−2i2i2i202-2-2−22−222-22-200000000−22−22−22−2200−2i2i0000−2i−2i2i2i02-200−22−22−22−22−22−2200000−i2i2−i2i2−2i2i00−i2i2−i2i2−i2i2−i2i200000000000000
χ492-22-2220-22022-2-2-2-200002i2i−2i−2i202-2-22−2−22-22-22000000002−22−2−22−2200−2i2i00002i2i−2i−2i0-22002−22−22−2−22−22−2200000−i2i2i2−i2−2i2i00−i2i2−i2i2i2−i2i2−i200000000000000
χ502-22-2220-22022-2-2-2-200002i2i−2i−2i202-2-2−222−2-22-2200000000−22−222−22−200−2i2i00002i2i−2i−2i0-2200−22−22−222−22−22−200000i2−i2−i2i2−2i2i00i2−i2i2−i2−i2i2−i2i200000000000000
χ512-22-2220-22022-2-2-2-20000−2i−2i2i2i202-2-22−2−22-22-22000000002−22−2−22−22002i−2i0000−2i−2i2i2i0-22002−22−22−2−22−22−2200000i2−i2−i2i22i−2i00i2−i2i2−i2−i2i2−i2i200000000000000
χ522-22-2220-22022-2-2-2-20000−2i−2i2i2i202-2-2−222−2-22-2200000000−22−222−22−2002i−2i0000−2i−2i2i2i0-2200−22−22−222−22−22−200000−i2i2i2−i22i−2i00−i2i2−i2i2i2−i2i2−i200000000000000
χ532-22-22-102-202-111-2-23−33−32i2i−2i−2i-10-1112−22−22-2-113−303−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23002i−2i−i3−i3i3i3−i−iii0-113−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000−i2i2−i2i2−ii−i3i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ542-22-22-102-202-111-2-23−33−32i2i−2i−2i-10-111−22−222-2-113−303−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23002i−2i−i3−i3i3i3−i−iii0-113−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000i2−i2i2−i2−ii−i3i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ552-22-22-102-202-111-2-23−33−3−2i−2i2i2i-10-1112−22−22-2-113−303−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300−2i2ii3i3−i3−i3ii−i−i0-113−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000i2−i2i2−i2i−ii3−i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
χ562-22-22-102-202-111-2-23−33−3−2i−2i2i2i-10-111−22−222-2-113−303−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300−2i2ii3i3−i3−i3ii−i−i0-113−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000−i2i2−i2i2i−ii3−i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ572-22-22-102-202-111-2-2−33−332i2i−2i−2i-10-1112−22−22-2-11−330−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7002i−2ii3i3−i3−i3−i−iii0-11−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000−i2i2−i2i2−iii3−i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ582-22-22-102-202-111-2-2−33−332i2i−2i−2i-10-111−22−222-2-11−330−330−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7002i−2ii3i3−i3−i3−i−iii0-11−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000i2−i2i2−i2−iii3−i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ592-22-22-102-202-111-2-2−33−33−2i−2i2i2i-10-1112−22−22-2-11−330−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700−2i2i−i3−i3i3i3ii−i−i0-11−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000i2−i2i2−i2i−i−i3i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.