Finite Group Databasebeta

← Group #11865688

Character table — Group #11865688

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222224444444444444444412121212242422224444444444448888888888888888824242424484833336666666666661212121212121212121212121212121212363636367272
order12223444466612121212488881212121224242424242424244444243666312121212666121212121224242424121212122424242424242424121212126122222644446661212121248888121212122424242424242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ511111-1-1111111111-111-1-1-1-1-1-11111-1-1-1-111-1-11-111111-1-1111111111-111-1-1-1-1-1-11111-1-1-1-111-1-11-111111-1-1111111111-111-1-1-1-1-1-11111-1-1-1-111-1-11-1
χ611111-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-111-1111111-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-111-1111111-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-111-11
χ711111-1-1111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11
χ811111-1-1111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1111-111111-1-1111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1111-111111-1-1111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1
χ92222222-2-2222-2-2-2-2-2000022-2-2000000000000002222222-2-2222-2-2-2-2-2000022-2-2000000000000002222222-2-2222-2-2-2-2-2000022-2-200000000000000
χ1022222-2-2-2-2222-2-2-2-220000-2-2220000000000000022222-2-2-2-2222-2-2-2-220000-2-2220000000000000022222-2-2-2-2222-2-2-2-220000-2-22200000000000000
χ112222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-10000002222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-10000002222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ122222-12222-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1111111110000002222-12222-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1111111110000002222-12222-1-1-1-1-1-1-12-2-2-2-2-1-1-1-111111111000000
χ132222-122-2-2-1-1-11111-20000-1-11133−3−333−3−30000002222-122-2-2-1-1-11111-20000-1-11133−3−333−3−30000002222-122-2-2-1-1-11111-20000-1-11133−3−333−3−3000000
χ142222-122-2-2-1-1-11111-20000-1-111−3−333−3−3330000002222-122-2-2-1-1-11111-20000-1-111−3−333−3−3330000002222-122-2-2-1-1-11111-20000-1-111−3−333−3−333000000
χ152222-1-2-222-1-1-1-1-1-1-1-222-2-21111-1-1-1-111110000002222-1-2-222-1-1-1-1-1-1-1-222-2-21111-1-1-1-111110000002222-1-2-222-1-1-1-1-1-1-1-222-2-21111-1-1-1-11111000000
χ162222-1-2-222-1-1-1-1-1-1-1-2-2-22211111111-1-1-1-10000002222-1-2-222-1-1-1-1-1-1-1-2-2-22211111111-1-1-1-10000002222-1-2-222-1-1-1-1-1-1-1-2-2-22211111111-1-1-1-1000000
χ172222-1-2-2-2-2-1-1-111112000011-1-133−3−3−3−3330000002222-1-2-2-2-2-1-1-111112000011-1-133−3−3−3−3330000002222-1-2-2-2-2-1-1-111112000011-1-133−3−3−3−333000000
χ182222-1-2-2-2-2-1-1-111112000011-1-1−3−33333−3−30000002222-1-2-2-2-2-1-1-111112000011-1-1−3−33333−3−30000002222-1-2-2-2-2-1-1-111112000011-1-1−3−33333−3−3000000
χ192-22-222i−2i002-2-2000002−2−i2i22i−2i002−22−2−i2i2−i2i20000002-22-222i−2i002-2-2000002−2−i2i22i−2i002−22−2−i2i2−i2i20000002-22-222i−2i002-2-2000002−2−i2i22i−2i002−22−2−i2i2−i2i2000000
χ202-22-222i−2i002-2-200000−22i2−i22i−2i00−22−22i2−i2i2−i20000002-22-222i−2i002-2-200000−22i2−i22i−2i00−22−22i2−i2i2−i20000002-22-222i−2i002-2-200000−22i2−i22i−2i00−22−22i2−i2i2−i2000000
χ212-22-22−2i2i002-2-2000002−2i2−i2−2i2i002−22−2i2−i2i2−i20000002-22-22−2i2i002-2-2000002−2i2−i2−2i2i002−22−2i2−i2i2−i20000002-22-22−2i2i002-2-2000002−2i2−i2−2i2i002−22−2i2−i2i2−i2000000
χ222-22-22−2i2i002-2-200000−22−i2i2−2i2i00−22−22−i2i2−i2i20000002-22-22−2i2i002-2-200000−22−i2i2−2i2i00−22−22−i2i2−i2i20000002-22-22−2i2i002-2-200000−22−i2i2−2i2i00−22−22−i2i2−i2i2000000
χ232-22-2-12i−2i00-1113−33−302−2−i2i2−ii−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-22-2-12i−2i00-1113−33−302−2−i2i2−ii−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-22-2-12i−2i00-1113−33−302−2−i2i2−ii−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ242-22-2-12i−2i00-1113−33−30−22i2−i2−ii−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-22-2-12i−2i00-1113−33−30−22i2−i2−ii−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-22-2-12i−2i00-1113−33−30−22i2−i2−ii−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ252-22-2-12i−2i00-111−33−3302−2−i2i2−iii3−i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-22-2-12i−2i00-111−33−3302−2−i2i2−iii3−i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-22-2-12i−2i00-111−33−3302−2−i2i2−iii3−i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ262-22-2-12i−2i00-111−33−330−22i2−i2−iii3−i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-22-2-12i−2i00-111−33−330−22i2−i2−iii3−i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-22-2-12i−2i00-111−33−330−22i2−i2−iii3−i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ272-22-2-1−2i2i00-1113−33−302−2i2−i2i−ii3−i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-22-2-1−2i2i00-1113−33−302−2i2−i2i−ii3−i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-22-2-1−2i2i00-1113−33−302−2i2−i2i−ii3−i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ282-22-2-1−2i2i00-1113−33−30−22−i2i2i−ii3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-22-2-1−2i2i00-1113−33−30−22−i2i2i−ii3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-22-2-1−2i2i00-1113−33−30−22−i2i2i−ii3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ292-22-2-1−2i2i00-111−33−3302−2i2−i2i−i−i3i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-22-2-1−2i2i00-111−33−3302−2i2−i2i−i−i3i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-22-2-1−2i2i00-111−33−3302−2i2−i2i−i−i3i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ302-22-2-1−2i2i00-111−33−330−22−i2i2i−i−i3i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-22-2-1−2i2i00-111−33−330−22−i2i2i−i−i3i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-22-2-1−2i2i00-111−33−330−22−i2i2i−i−i3i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ312-2-222002-2-22-222-2-2000000000000000002i−2i00002-2-222002-2-22-222-2-2000000000000000002i−2i00002-2-222002-2-22-222-2-2000000000000000002i−2i0000
χ322-2-222002-2-22-222-2-200000000000000000−2i2i00002-2-222002-2-22-222-2-200000000000000000−2i2i00002-2-222002-2-22-222-2-200000000000000000−2i2i0000
χ332-2-22200-22-22-2-2-22200000000000000000002-2002-2-22200-22-22-2-2-22200000000000000000002-2002-2-22200-22-22-2-2-22200000000000000000002-200
χ342-2-22200-22-22-2-2-2220000000000000000000-22002-2-22200-22-22-2-2-2220000000000000000000-22002-2-22200-22-22-2-2-2220000000000000000000-2200
χ3544-4-440000-4-4400000000000000000000000000044-4-440000-4-4400000000000000000000000000044-4-440000-4-44000000000000000000000000000
χ3644-4-4-2000022-223−23−23230000000000000000000000044-4-4-2000022-223−23−23230000000000000000000000044-4-4-2000022-223−23−232300000000000000000000000
χ3744-4-4-2000022-2−232323−230000000000000000000000044-4-4-2000022-2−232323−230000000000000000000000044-4-4-2000022-2−232323−2300000000000000000000000
χ384-4-44-2004-42-22-2-222000000000000000000000004-4-44-2004-42-22-2-222000000000000000000000004-4-44-2004-42-22-2-22200000000000000000000000
χ394-4-44-200-442-2222-2-2000000000000000000000004-4-44-200-442-2222-2-2000000000000000000000004-4-44-200-442-2222-2-200000000000000000000000
χ40111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ4211111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ4311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ4411111-1-1111111111-111-1-1-1-1-1-11111-1-1-1-111-1-11-111111-1-1111111111-111-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-11111-1-111-11
χ4511111-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-111-1111111-1-1111111111-111-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1111111-1-11-1
χ4611111-1-1111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1111-1
χ4711111-1-1111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1111-111111-1-1111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-111-1-1-11
χ482222222-2-2222-2-2-2-2-2000022-2-2000000000000002222222-2-2222-2-2-2-2-2000022-2-200000000000000-2-2-2-2-2-2-222-2-2-2222220000-2-22200000000000000
χ4922222-2-2-2-2222-2-2-2-220000-2-2220000000000000022222-2-2-2-2222-2-2-2-220000-2-22200000000000000-2-2-2-2-22222-2-2-22222-2000022-2-200000000000000
χ502222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-10000002222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-21-2-2-2-21111111-2-2-2-2-2111111111111000000
χ512222-12222-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1111111110000002222-12222-1-1-1-1-1-1-12-2-2-2-2-1-1-1-111111111000000-2-2-2-21-2-2-2-21111111-222221111-1-1-1-1-1-1-1-1000000
χ522222-122-2-2-1-1-11111-20000-1-11133−3−333−3−30000002222-122-2-2-1-1-11111-20000-1-11133−3−333−3−3000000-2-2-2-21-2-222111-1-1-1-12000011-1-1−3−333−3−333000000
χ532222-122-2-2-1-1-11111-20000-1-111−3−333−3−3330000002222-122-2-2-1-1-11111-20000-1-111−3−333−3−333000000-2-2-2-21-2-222111-1-1-1-12000011-1-133−3−333−3−3000000
χ542222-1-2-222-1-1-1-1-1-1-1-222-2-21111-1-1-1-111110000002222-1-2-222-1-1-1-1-1-1-1-222-2-21111-1-1-1-11111000000-2-2-2-2122-2-211111112-2-222-1-1-1-11111-1-1-1-1000000
χ552222-1-2-222-1-1-1-1-1-1-1-2-2-22211111111-1-1-1-10000002222-1-2-222-1-1-1-1-1-1-1-2-2-22211111111-1-1-1-1000000-2-2-2-2122-2-21111111222-2-2-1-1-1-1-1-1-1-11111000000
χ562222-1-2-2-2-2-1-1-111112000011-1-133−3−3−3−3330000002222-1-2-2-2-2-1-1-111112000011-1-133−3−3−3−333000000-2-2-2-212222111-1-1-1-1-20000-1-111−3−33333−3−3000000
χ572222-1-2-2-2-2-1-1-111112000011-1-1−3−33333−3−30000002222-1-2-2-2-2-1-1-111112000011-1-1−3−33333−3−3000000-2-2-2-212222111-1-1-1-1-20000-1-11133−3−3−3−333000000
χ582-22-222i−2i002-2-2000002−2−i2i22i−2i002−22−2−i2i2−i2i20000002-22-222i−2i002-2-2000002−2−i2i22i−2i002−22−2−i2i2−i2i2000000-22-22-2−2i2i00-22200000−22i2−i2−2i2i00−22−22i2−i2i2−i2000000
χ592-22-222i−2i002-2-200000−22i2−i22i−2i00−22−22i2−i2i2−i20000002-22-222i−2i002-2-200000−22i2−i22i−2i00−22−22i2−i2i2−i2000000-22-22-2−2i2i00-222000002−2−i2i2−2i2i002−22−2−i2i2−i2i2000000
χ602-22-22−2i2i002-2-2000002−2i2−i2−2i2i002−22−2i2−i2i2−i20000002-22-22−2i2i002-2-2000002−2i2−i2−2i2i002−22−2i2−i2i2−i2000000-22-22-22i−2i00-22200000−22−i2i22i−2i00−22−22−i2i2−i2i2000000
χ612-22-22−2i2i002-2-200000−22−i2i2−2i2i00−22−22−i2i2−i2i20000002-22-22−2i2i002-2-200000−22−i2i2−2i2i00−22−22−i2i2−i2i2000000-22-22-22i−2i00-222000002−2i2−i22i−2i002−22−2i2−i2i2−i2000000
χ622-22-2-12i−2i00-1113−33−302−2−i2i2−ii−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-22-2-12i−2i00-1113−33−302−2−i2i2−ii−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-22-221−2i2i001-1-1−33−330−22i2−i2i−ii3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ632-22-2-12i−2i00-1113−33−30−22i2−i2−ii−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-22-2-12i−2i00-1113−33−30−22i2−i2−ii−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-22-221−2i2i001-1-1−33−3302−2−i2i2i−ii3−i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.