Finite Group Databasebeta

← Group #11781500

Character table — Group #11781500

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212122424242424244848487272144
order12223344446666661212121234666888812121212121212121212121224242424242424248888242424242424242412121212122424242424242424242424244444881212121212121212242424248824242424266884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-1
χ61111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11
χ71111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-1-11
χ81111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111111-1
χ92222222-2-22222222-2-2-2-22-222200002-222-2-2-2-2-2-2-2200000000000000000000-222-2-200000000000022-2-2002222-2-2-2-20000000000000000
χ102222222-2-22222222-2-2-2-22-222200002-222-2-2-2-2-2-2-2200000000000000000000-222-2-2000000000000-2-22200-2-2-2-222220000000000000000
χ11222222-222-222222222222-22220000-22-2-2-2-222222-200000000222222222222-2-2-2-2-20000000000000000-2-200000000-2-2-2-2000000000000
χ12222222-222-222222222222-22220000-22-2-2-2-222222-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022000000002222000000000000
χ13222222-2-2-2-2222222-2-2-2-2222222i2i−2i−2i-2-2-2-222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000002-2-2222i2i2i2i2i2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000
χ14222222-2-2-2-2222222-2-2-2-222222−2i−2i2i2i-2-2-2-222-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000002-2-222−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i000000000000000000000000000000
χ1522222-122222-1-1-1222222-12-1-1-12222-1-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-12-1-1000
χ1622222-122222-1-1-1222222-12-1-1-12222-1-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111-211000
χ1722222-122222-1-1-1222222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-111111111111100000000000000000022-1-1-1-1-211000
χ1822222-122222-1-1-1222222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111000000000000000000-2-211112-1-1000
χ1922222-1-2-2-2-22-1-1-122-2-2-2-2-12-1-1-12i2i−2i−2i11-2-2221111112i2i2i2i−2i−2i−2i−2i000000000000-111-1-1−i−i−i−i−i−iiiiiii0000000000000000000033−3−30−i3i3000
χ2022222-1-2-2-2-22-1-1-122-2-2-2-2-12-1-1-12i2i−2i−2i11-2-2221111112i2i2i2i−2i−2i−2i−2i000000000000-111-1-1−i−i−i−i−i−iiiiiii00000000000000000000−3−3330i3−i3000
χ2122222-1-2-2-2-22-1-1-122-2-2-2-2-12-1-1-1−2i−2i2i2i11-2-222111111−2i−2i−2i−2i2i2i2i2i000000000000-111-1-1iiiiii−i−i−i−i−i−i0000000000000000000033−3−30i3−i3000
χ2222222-1-2-2-2-22-1-1-122-2-2-2-2-12-1-1-1−2i−2i2i2i11-2-222111111−2i−2i−2i−2i2i2i2i2i000000000000-111-1-1iiiiii−i−i−i−i−i−i00000000000000000000−3−3330−i3i3000
χ232222-122222-1222-1-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ242222-122222-1222-1-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2111111111111000000000000
χ252222-122222-1222-1-1-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-12-1-12111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-21111-2-2-2-22211111111-1-1-1-1000000000000
χ262222-122222-1222-1-1-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1211111111-2-2-2-2111111112-1-1-1-1-2-21111-2-211112222-2-2-1-1-1-1-1-1-1-11111000000000000
χ272222-122-2-22-1222-1-11111-1-2-1-1-100002-2-1-11111-211233−3−333−3−300003333−3−3−3−3-2-1-1110033−3−30033−3−322-2-200-1-1-1-1111133−3−3000000000000
χ282222-122-2-22-1222-1-11111-1-2-1-1-100002-2-1-11111-211233−3−333−3−30000−3−3−3−33333-2-1-1110033−3−30033−3−3-2-222001111-1-1-1-1−3−333000000000000
χ292222-122-2-22-1222-1-11111-1-2-1-1-100002-2-1-11111-2112−3−333−3−33300003333−3−3−3−3-2-1-11100−3−33300−3−333-2-222001111-1-1-1-133−3−3000000000000
χ302222-122-2-22-1222-1-11111-1-2-1-1-100002-2-1-11111-2112−3−333−3−3330000−3−3−3−33333-2-1-11100−3−33300−3−33322-2-200-1-1-1-11111−3−333000000000000
χ312222-12-222-2-1222-1-1-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2−i3−i3i3i3i3i3−i3−i32222-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300i3i3−i3−i30000-2-2−i3−i3i3i3−i3−i3i3i31111000000000000
χ322222-12-222-2-1222-1-1-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2−i3−i3i3i3i3i3−i3−i3-2-2-2-211111111-2111100−i3−i3i3i300i3i3−i3−i3000022i3i3−i3−i3i3i3−i3−i3-1-1-1-1000000000000
χ332222-12-222-2-1222-1-1-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2i3i3−i3−i3−i3−i3i3i32222-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300−i3−i3i3i30000-2-2i3i3−i3−i3i3i3−i3−i31111000000000000
χ342222-12-222-2-1222-1-1-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2i3i3−i3−i3−i3−i3i3i3-2-2-2-211111111-2111100i3i3−i3−i300−i3−i3i3i3000022−i3−i3i3i3−i3−i3i3i3-1-1-1-1000000000000
χ352222-12-2-2-2-2-1222-1-11111-12-1-1-12i2i−2i−2i-2-211-1-111-211-2−i−i−i−iiiii00003333−3−3−3−3211-1-12i2i−i−i−i−i−2i−2iiiii000000−i3−i3i3i3i3i3−i3−i3−3−333000000000000
χ362222-12-2-2-2-2-1222-1-11111-12-1-1-12i2i−2i−2i-2-211-1-111-211-2−i−i−i−iiiii0000−3−3−3−33333211-1-12i2i−i−i−i−i−2i−2iiiii000000i3i3−i3−i3−i3−i3i3i333−3−3000000000000
χ372222-12-2-2-2-2-1222-1-11111-12-1-1-1−2i−2i2i2i-2-211-1-111-211-2iiii−i−i−i−i00003333−3−3−3−3211-1-1−2i−2iiiii2i2i−i−i−i−i000000i3i3−i3−i3−i3−i3i3i3−3−333000000000000
χ382222-12-2-2-2-2-1222-1-11111-12-1-1-1−2i−2i2i2i-2-211-1-111-211-2iiii−i−i−i−i0000−3−3−3−33333211-1-1−2i−2iiiii2i2i−i−i−i−i000000−i3−i3i3i3i3i3−i3−i333−3−3000000000000
χ3922-2-2220-22022-2-2-2-2-2-222202-2-200000-20000-2-22220000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000002−22−22−2000−i2i20
χ4022-2-2220-22022-2-2-2-2-2-222202-2-200000-20000-2-22220000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000−22−22−22000i2−i20
χ4122-2-2220-22022-2-2-2-2-2-222202-2-200000-20000-2-2222000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000002−22−22−2000i2−i20
χ4222-2-2220-22022-2-2-2-2-2-222202-2-200000-20000-2-2222000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000−22−22−22000−i2i20
χ432-2-2222200-2-2-22-22-2000020-22-2−i2i2−i2i2202-20000000-2−i2i2−i2i2−i2i2−i2i22−22−22−22−22−22−202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i−2i002−22i−2i2i−2i00002−22−2000000000000
χ442-2-2222200-2-2-22-22-2000020-22-2−i2i2−i2i2202-20000000-2−i2i2−i2i2−i2i2−i2i2−22−22−22−22−22−2202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−2i2i00−22−2i2i−2i2i0000−22−22000000000000
χ452-2-2222200-2-2-22-22-2000020-22-2i2−i2i2−i2202-20000000-2i2−i2i2−i2i2−i2i2−i22−22−22−22−22−22−202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i2i002−2−2i2i−2i2i00002−22−2000000000000
χ462-2-2222200-2-2-22-22-2000020-22-2i2−i2i2−i2202-20000000-2i2−i2i2−i2i2−i2i2−i2−22−22−22−22−22−2202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i00−222i−2i2i−2i0000−22−22000000000000
χ472-2-2222-2002-2-22-22-2000020-22-22−2−22-20-22000000022−22−2−22−222−22−22−22−22−22−20-22002−22−22−2−22−22−22002-2−2200002-22-2−22−22000000000000
χ482-2-2222-2002-2-22-22-2000020-22-22−2−22-20-22000000022−22−2−22−22−22−22−22−22−22−220-22002−22−22−2−22−22−2200-222−20000-22-222−22−2000000000000
χ492-2-2222-2002-2-22-22-2000020-22-2−222−2-20-2200000002−22−222−22−22−22−22−22−22−22−20-2200−22−22−222−22−22−200-22−220000-22-22−22−22000000000000
χ502-2-2222-2002-2-22-22-2000020-22-2−222−2-20-2200000002−22−222−22−2−22−22−22−22−22−220-2200−22−22−222−22−22−2002-22−200002-22-22−22−2000000000000
χ512-2-22-12200-21-22-2-113−33−3-101-11−i2i2−i2i220-113−33−303−3-2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70-113−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232i−2i002−2−ii−iii3−i3−i3i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ522-2-22-12200-21-22-2-113−33−3-101-11−i2i2−i2i220-113−33−303−3-2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70-113−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−2i2i00−22i−ii−i−i3i3i3−i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ532-2-22-12200-21-22-2-113−33−3-101-11i2−i2i2−i220-113−33−303−3-2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70-113−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−2i2i002−2i−ii−i−i3i3i3−i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ542-2-22-12200-21-22-2-113−33−3-101-11i2−i2i2−i220-113−33−303−3-2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70-113−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232i−2i00−22−ii−iii3−i3−i3i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ552-2-22-12200-21-22-2-11−33−33-101-11−i2i2−i2i220-11−33−330−33-2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230-11−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72i−2i002−2−ii−ii−i3i3i3−i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ562-2-22-12200-21-22-2-11−33−33-101-11−i2i2−i2i220-11−33−330−33-2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230-11−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−2i2i00−22i−ii−ii3−i3−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ572-2-22-12200-21-22-2-11−33−33-101-11i2−i2i2−i220-11−33−330−33-2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230-11−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−2i2i002−2i−ii−ii3−i3−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ582-2-22-12200-21-22-2-11−33−33-101-11i2−i2i2−i220-11−33−330−33-2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230-11−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72i−2i00−22−ii−ii−i3i3i3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ592-2-22-12-20021-22-2-113−33−3-101-112−2−22-201-1−333−303−32ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ701-1−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23002-2−22−333−3-11-11−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ602-2-22-12-20021-22-2-113−33−3-101-112−2−22-201-1−333−303−32ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ701-1−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300-222−23−3−331-11-1ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ612-2-22-12-20021-22-2-113−33−3-101-11−222−2-201-1−333−303−32−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ701-1−33−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300-22−223−3−331-11-1−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.