Finite Group Databasebeta

← Group #11887565

Character table — Group #11887565

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222444444444444444444444444444446666666666666666888888888888888881212121212121212121212121212121212122424242424242436364848727272
order122233444466666612121212346668888121212121212121212121212242424242424242422228888242424242424242412121212122424242424242424242424244444666688121212122424242444412121212441212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11-1-11111-1-1-1-1-111
χ61111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-111-1-1-1-111111-1-1
χ71111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1111111-1-11-1-1
χ81111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1-111-111
χ9111111-1-11111111111111-111111-1-1-1-1-1-11-1-1111111111-1-1-1-111-1-1111111111111-1-1-1-1-1111111-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-1-1-11-111-1-1111-1-11-1
χ10111111-1-11111111111111-111111-1-1-1-1-1-11-1-1111111111-1-1-1-111-1-1111111111111-1-1-1-1-1111111-1-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1-1-11-11-1-111-1-1-111-11
χ11111111-1-11111111111111-111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-11111-1-1111111-11-111-1-1-1-11-11-11
χ12111111-1-11111111111111-111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-11111-1-11111111-11-1-11111-11-11-1
χ13111111-1-11111111111111-1111-1-111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11111-1-11111-1-1111-1-1-1-1-1111-1
χ14111111-1-11111111111111-1111-1-111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1111111-1-1-111111-1-1-11
χ15111111-1-11111111111111-1111-1-111-1-1-1-11-1-111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-1-1-111-1-1-1-1-1-1111-1-111-11-1-11
χ16111111-1-11111111111111-1111-1-111-1-1-1-11-1-111111-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-111-1-11-111-1
χ1722222222-2-2222222-2-2-2-22-2222000022-2-2-222-2-2-2-2-2000000002222000000000000-222-2-2000000000000-2-200222200-2-2-2-2000000000000000000
χ1822222222-2-2222222-2-2-2-22-2222000022-2-2-222-2-2-2-2-200000000-2-2-2-2000000000000-222-2-20000000000002200-2-2-2-2002222000000000000000000
χ19222222-2-2-2-2222222-2-2-2-2222220000-2-222-2-2-2-2-2-2-2-20000000022-2-20000000000002-2-222000000000000-220022-2-200-2-222000000000000000000
χ20222222-2-2-2-2222222-2-2-2-2222220000-2-222-2-2-2-2-2-2-2-200000000-2-2220000000000002-2-2220000000000002-200-2-2220022-2-2000000000000000000
χ2122222-12222-1-122-12-1-1-1-1-12-1-1-12222-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12200-1-1-1-122-1-1-1-1-1-1-1-100000000000000
χ2222222-12222-1-122-12-1-1-1-1-12-1-1-12222-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-2-2001111-2-21111111100000000000000
χ2322222-12222-1-122-12-1-1-1-1-12-1-1-1-2-2-2-2-1-1-1-1222-1-12-1-1111111112222-2-2-2-2111111112-1-1-1-1-2-21111-2-211112200-1-1-1-1-2-2-1-1-1-1111100000000000000
χ2422222-12222-1-122-12-1-1-1-1-12-1-1-1-2-2-2-2-1-1-1-1222-1-12-1-111111111-2-2-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-21111-2-2001111221111-1-1-1-100000000000000
χ2522222-122-2-2-1-122-121111-1-2-1-1-10000-1-111-22211-21133−3−333−3−3222200003333−3−3−3−3-2-1-1110033−3−30033−3−3-2-200-1-1-1-100111133−3−300000000000000
χ2622222-122-2-2-1-122-121111-1-2-1-1-10000-1-111-22211-21133−3−333−3−3-2-2-2-20000−3−3−3−33333-2-1-1110033−3−30033−3−32200111100-1-1-1-1−3−33300000000000000
χ2722222-122-2-2-1-122-121111-1-2-1-1-10000-1-111-22211-211−3−333−3−33322220000−3−3−3−33333-2-1-11100−3−33300−3−333-2-200-1-1-1-1001111−3−33300000000000000
χ2822222-122-2-2-1-122-121111-1-2-1-1-10000-1-111-22211-211−3−333−3−333-2-2-2-200003333−3−3−3−3-2-1-11100−3−33300−3−3332200111100-1-1-1-133−3−300000000000000
χ2922222-1-2-222-1-122-12-1-1-1-1-1-2-1-1-122-2-211112-2-2-1-12-1-1-1-1-1-1111122-2-22222-1-1-1-1-1-1-1-1-2111122-1-1-1-1-2-211112-200-1-111-2-2-1-111111100000000000000
χ3022222-1-2-222-1-122-12-1-1-1-1-1-2-1-1-122-2-211112-2-2-1-12-1-1-1-1-1-11111-2-222-2-2-2-211111111-2111122-1-1-1-1-2-21111-220011-1-12211-1-1-1-1-1-100000000000000
χ3122222-1-2-222-1-122-12-1-1-1-1-1-2-1-1-1-2-22211112-2-2-1-12-1-11111-1-1-1-122-2-2-2-2-2-211111111-21111-2-2111122-1-1-1-12-200-1-11122-1-111-1-1-1-100000000000000
χ3222222-1-2-222-1-122-12-1-1-1-1-1-2-1-1-1-2-22211112-2-2-1-12-1-11111-1-1-1-1-2-2222222-1-1-1-1-1-1-1-1-21111-2-2111122-1-1-1-1-220011-1-1-2-211-1-1111100000000000000
χ3322222-1-2-2-2-2-1-122-121111-12-1-1-1000011-1-1-2-2-211-21133−3−3−3−33322-2-200003333−3−3−3−3211-1-10033−3−300−3−333-2200-1-1110011-1-1−3−33300000000000000
χ3422222-1-2-2-2-2-1-122-121111-12-1-1-1000011-1-1-2-2-211-21133−3−3−3−333-2-2220000−3−3−3−33333211-1-10033−3−300−3−3332-20011-1-100-1-11133−3−300000000000000
χ3522222-1-2-2-2-2-1-122-121111-12-1-1-1000011-1-1-2-2-211-211−3−33333−3−322-2-20000−3−3−3−33333211-1-100−3−3330033−3−3-2200-1-1110011-1-133−3−300000000000000
χ3622222-1-2-2-2-2-1-122-121111-12-1-1-1000011-1-1-2-2-211-211−3−33333−3−3-2-22200003333−3−3−3−3211-1-100−3−3330033−3−32-20011-1-100-1-111−3−33300000000000000
χ372222-12222222-1-12-12222-12-1-1-122222222-1-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000000000222-1-1-1-100-1-1000
χ382222-12222222-1-12-12222-12-1-1-122222222-1-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000000-2-2-211110011000
χ392222-12222222-1-12-12222-12-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-11111111111110022000000000000002-2-2-1-1-1-10011000
χ402222-12222222-1-12-12222-12-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-111111111111100-2-200000000000000-222111100-1-1000
χ412222-12-2-22222-1-12-12222-1-2-1-1-122-2-2-2-2-2-2-111-1-1-1-1-12222-2-2-2-2000000000000000011111-1-1-1-1-1-1111111002200000000000000-22-2-1-11100-11000
χ422222-12-2-22222-1-12-12222-1-2-1-1-122-2-2-2-2-2-2-111-1-1-1-1-12222-2-2-2-2000000000000000011111-1-1-1-1-1-111111100-2-2000000000000002-2211-1-1001-1000
χ432222-12-2-22222-1-12-12222-1-2-1-1-1-2-222-2-2-2-2-111-1-1-1-1-1-2-2-2-22222000000000000000011111111111-1-1-1-1-1-1002200000000000000-2-22-1-111001-1000
χ442222-12-2-22222-1-12-12222-1-2-1-1-1-2-222-2-2-2-2-111-1-1-1-1-1-2-2-2-22222000000000000000011111111111-1-1-1-1-1-100-2-20000000000000022-211-1-100-11000
χ452-22-2222-2002-2-2-2-220000202-2-2−i2i2−i2i22-20002-200000−i2i2−i2i2−i2i2−i2i22-22-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002-22-2−i2i20000−i2i2−i2i200000000000000
χ462-22-2222-2002-2-2-2-220000202-2-2−i2i2−i2i22-20002-200000−i2i2−i2i2−i2i2−i2i2-22-22i2i2−i2−i2i2i2−i2−i2i2i2−i2−i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000-22-22i2−i20000i2−i2i2−i200000000000000
χ472-22-2222-2002-2-2-2-220000202-2-2i2−i2i2−i22-20002-200000i2−i2i2−i2i2−i2i2−i22-22-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002-22-2i2−i20000i2−i2i2−i200000000000000
χ482-22-2222-2002-2-2-2-220000202-2-2i2−i2i2−i22-20002-200000i2−i2i2−i2i2−i2i2−i2-22-22−i2−i2i2i2−i2−i2i2i2−i2−i2i2i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000-22-22−i2i20000−i2i2−i2i200000000000000
χ492-22-222-22002-2-2-2-220000202-2-2−i2i2i2−i2-22000-2200000−i2i2−i2i2i2−i2i2−i22-2-22−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20-2200−i2i2−i2i2−i2i2i2−i2i2−i2i2−i200002-2-22i2−i20000i2−i2i2−i200000000000000
χ502-22-222-22002-2-2-2-220000202-2-2−i2i2i2−i2-22000-2200000−i2i2−i2i2i2−i2i2−i2-222-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20-2200−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20000-222-2−i2i20000−i2i2−i2i200000000000000
χ512-22-222-22002-2-2-2-220000202-2-2i2−i2−i2i2-22000-2200000i2−i2i2−i2−i2i2−i2i22-2-22i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20-2200i2−i2i2−i2i2−i2−i2i2−i2i2−i2i200002-2-22−i2i20000−i2i2−i2i200000000000000
χ522-22-222-22002-2-2-2-220000202-2-2i2−i2−i2i2-22000-2200000i2−i2i2−i2−i2i2−i2i2-222-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20-2200i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20000-222-2i2−i20000i2−i2i2−i200000000000000
χ532-22-22-12-200-11-2-2123−33−3-10-111−i2i2−i2i2-113−302-23−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232-22-2−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230-113−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000-11-11−i2i23−33−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ542-22-22-12-200-11-2-2123−33−3-10-111−i2i2−i2i2-113−302-23−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-22-22i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230-113−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300001-11-1i2−i2−33−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ552-22-22-12-200-11-2-2123−33−3-10-111i2−i2i2−i2-113−302-23−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-22-2i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230-113−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000-11-11i2−i23−33−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000
χ562-22-22-12-200-11-2-2123−33−3-10-111i2−i2i2−i2-113−302-23−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-22-22−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230-113−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300001-11-1−i2i2−33−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000
χ572-22-22-12-200-11-2-212−33−33-10-111−i2i2−i2i2-11−3302-2−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72-22-2−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70-11−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000-11-11−i2i2−33−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000
χ582-22-22-12-200-11-2-212−33−33-10-111−i2i2−i2i2-11−3302-2−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-22-22i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70-11−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700001-11-1i2−i23−33−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.