Finite Group Databasebeta

← Group #11786895

Character table — Group #11786895

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444444444444412121212121212121212121212121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1
χ911-1-111-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11ii−i−i11-111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1ii−i−iii−i−i1-1i−iii−i−iii−i−i11-1-111-1-1i−i11-1-1
χ1011-1-111-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11ii−i−i11-111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1−i−iii−i−iii-11i−iii−i−i−i−iii-1-11111-1-1−ii-1-111
χ1111-1-111-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11ii−i−i11-111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111ii−i−i−i−iii1-1−ii−i−iiiii−i−i11-1-1-1-111−ii-1-111
χ1211-1-111-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11ii−i−i11-111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111−i−iiiii−i−i-11−ii−i−iii−i−iii-1-111-1-111i−i11-1-1
χ1311-1-111-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11−i−iii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1ii−i−iii−i−i-11−ii−i−iiiii−i−i-1-11111-1-1i−i-1-111
χ1411-1-111-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11−i−iii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1−i−iii−i−iii1-1−ii−i−iii−i−iii11-1-111-1-1−ii11-1-1
χ1511-1-111-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11−i−iii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111ii−i−i−i−iii-11i−iii−i−iii−i−i-1-111-1-111−ii11-1-1
χ1611-1-111-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11−i−iii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111−i−iiiii−i−i1-1i−iii−i−i−i−iii11-1-1-1-111i−i-1-111
χ172222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000222200000000000000000000-2-20000
χ182222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-200000000000000000000220000
χ19222222222-1222222-1222-1-1-1-1-12-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000022000000-1-1-1-1-1-1-1-10000000000
χ20222222222-1222222-1222-1-1-1-1-12-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2000000111111110000000000
χ21222222222-1222222-1222-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-2111111111111000022220000-2-2000000-1-1-1-111110000000000
χ22222222222-1222222-1222-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-2-2-20000220000001111-1-1-1-10000000000
χ2322222222-122222-1-12-1-1-122222-12-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000000022-1-1-1-100000000-1-1-1-1000000
χ2422222222-122222-1-12-1-1-122222-12-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-21111000000001111000000
χ2522222222-122222-1-12-1-1-122222-12-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122220000000000-2-2111100000000-1-1-1-1000000
χ2622222222-122222-1-12-1-1-122222-12-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-2000000000022-1-1-1-1000000001111000000
χ27222-2-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-22−22−2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2000000002-22-200000000000000000000002−22−2
χ28222-2-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-22−22−2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−200000000-22-220000000000000000000000−22−22
χ29222-2-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-2−22−220000000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222000000002-22-20000000000000000000000−22−22
χ30222-2-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-2−22−220000000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−2222200000000-22-2200000000000000000000002−22−2
χ3122-22-2-2-222200002-22-2-22-2-22-2-222-222-2-2-222-2−i2i2i2−i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000002i−2i−2i2i0000000000000000000000−222−2
χ3222-22-2-2-222200002-22-2-22-2-22-2-222-222-2-2-222-2−i2i2i2−i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000−2i2i2i−2i00000000000000000000002−2−22
χ3322-22-2-2-222200002-22-2-22-2-22-2-222-222-2-2-222-2i2−i2−i2i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000002i−2i−2i2i00000000000000000000002−2−22
χ3422-22-2-2-222200002-22-2-22-2-22-2-222-222-2-2-222-2i2−i2−i2i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000−2i2i2i−2i0000000000000000000000−222−2
χ3522-2-222-2-222-222-2222-2-2-2-2-2-222-2-22222-2-2-2-220000-2-22-2-22-2-2-2-222222200000000000000000000000000000000000000002i2i−2i−2i00000000000000000000−2i2i0000
χ3622-2-222-2-222-222-2222-2-2-2-2-2-222-2-22222-2-2-2-220000-2-22-2-22-2-2-2-22222220000000000000000000000000000000000000000−2i−2i2i2i000000000000000000002i−2i0000
χ3722-2-222-2-22-12-2-2222-1-2-2-2111-1-1-212-1-1-11111-12i2i−2i−2i-1-1122-2-1-1-1-1111-2112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii00002i2i−2i−2i00002-2000000−i−iii-1-1110000000000
χ3822-2-222-2-22-12-2-2222-1-2-2-2111-1-1-212-1-1-11111-12i2i−2i−2i-1-1122-2-1-1-1-1111-2112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000−2i−2i2i2i0000-22000000ii−i−i11-1-10000000000
χ3922-2-222-2-22-12-2-2222-1-2-2-2111-1-1-212-1-1-11111-1−2i−2i2i2i-1-1122-2-1-1-1-1111-211−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00002i2i−2i−2i0000-22000000−i−iii11-1-10000000000
χ4022-2-222-2-22-12-2-2222-1-2-2-2111-1-1-212-1-1-11111-1−2i−2i2i2i-1-1122-2-1-1-1-1111-211−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000−2i−2i2i2i00002-2000000ii−i−i-1-1110000000000
χ4122-2-222-2-2-122-2-22-1-12111-2-2-2221-2-1-1-1-11111-12i2i−2i−2i22-2-1-11-1-1-1-111-2111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii22-2-200000000002i−2i−i−iii00000000-1-111000000
χ4222-2-222-2-2-122-2-22-1-12111-2-2-2221-2-1-1-1-11111-12i2i−2i−2i22-2-1-11-1-1-1-111-2111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii-2-2220000000000−2i2iii−i−i0000000011-1-1000000
χ4322-2-222-2-2-122-2-22-1-12111-2-2-2221-2-1-1-1-11111-1−2i−2i2i2i22-2-1-11-1-1-1-111-2111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i22-2-20000000000−2i2iii−i−i00000000-1-111000000
χ4422-2-222-2-2-122-2-22-1-12111-2-2-2221-2-1-1-1-11111-1−2i−2i2i2i22-2-1-11-1-1-1-111-2111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i-2-22200000000002i−2i−i−iii0000000011-1-1000000
χ452-222-22-2-22222-2-2-2-2-22-222-222-2-2-222-2-22-22-2200002-222-2222-2-222-2-2-2-2000000000000000000000000000000002-22-20000000000000000000000002-22-2000000
χ462-222-22-2-22222-2-2-2-2-22-222-222-2-2-222-2-22-22-2200002-222-2222-2-222-2-2-2-200000000000000000000000000000000-22-22000000000000000000000000-22-22000000
χ472-222-22-2-222-2-222-2-2-22-222-222-2-2-222-2-22-22-220000-22-2-22-2-2-222-2-222220000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ482-222-22-2-222-2-222-2-2-22-222-222-2-2-222-2-22-22-220000-22-2-22-2-2-222-2-22222000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ492-222-22-2-22-1-2-222-2-212-22-11-1-11-212-111-11-11-100001-11-22-211-1-111-12-1-10000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i000000000000−ii−ii3−33−30000000000
χ502-222-22-2-22-1-2-222-2-212-22-11-1-11-212-111-11-11-100001-11-22-211-1-111-12-1-10000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i000000000000i−ii−i−33−330000000000
χ512-222-22-2-22-1-2-222-2-212-22-11-1-11-212-111-11-11-100001-11-22-211-1-111-12-1-10000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i000000000000−ii−ii−33−330000000000
χ522-222-22-2-22-1-2-222-2-212-22-11-1-11-212-111-11-11-100001-11-22-211-1-111-12-1-10000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−30000000000
χ532-222-22-2-2-1222-2-211-2-11-12-222-21-2-1-111-11-11-100002-22-11-1-1-111-1-1-21113−33−300003−33−33−33−33−33−300003−33−33−33−32-22-20000000000003−33−300000000-11-11000000
χ542-222-22-2-2-1222-2-211-2-11-12-222-21-2-1-111-11-11-100002-22-11-1-1-111-1-1-21113−33−300003−33−33−33−33−33−300003−33−33−33−3-22-22000000000000−33−33000000001-11-1000000
χ552-222-22-2-2-1222-2-211-2-11-12-222-21-2-1-111-11-11-100002-22-11-1-1-111-1-1-2111−33−330000−33−33−33−33−33−330000−33−33−33−332-22-2000000000000−33−3300000000-11-11000000
χ562-222-22-2-2-1222-2-211-2-11-12-222-21-2-1-111-11-11-100002-22-11-1-1-111-1-1-2111−33−330000−33−33−33−33−33−330000−33−33−33−33-22-220000000000003−33−3000000001-11-1000000
χ572-2-2-2-2222222-22-2-2-2-2-22-2-22-22-22222-2-2-22-22200002-2-22-2-222-2-2-2-22222000000000000000000000000000000002-2-220000000000000000000000002-2-22000000
χ582-2-2-2-2222222-22-2-2-2-2-22-2-22-22-22222-2-2-22-22200002-2-22-2-222-2-2-2-2222200000000000000000000000000000000-222-2000000000000000000000000-222-2000000
χ592-2-2-2-222222-22-22-2-2-2-22-2-22-22-22222-2-2-22-2220000-222-222-2-22222-2-2-2-20000000000000000000000000000000000002-2-220000000000002-2-2200000000000000
χ602-2-2-2-222222-22-22-2-2-2-22-2-22-22-22222-2-2-22-2220000-222-222-2-22222-2-2-2-2000000000000000000000000000000000000-222-2000000000000-222-200000000000000
χ612-2-2-2-22222-1-22-22-2-21-22-21-11-112-12-1111-11-1-100001-1-1-22211-1-1-1-11-21100003−33−333−3−333−3−30000−33−33−3−333−3−33300002-2-22000000000000-111-1−333−30000000000
χ622-2-2-2-22222-1-22-22-2-21-22-21-11-112-12-1111-11-1-100001-1-1-22211-1-1-1-11-21100003−33−333−3−333−3−30000−33−33−3−333−3−3330000-222-20000000000001-1-113−3−330000000000
χ632-2-2-2-22222-1-22-22-2-21-22-21-11-112-12-1111-11-1-100001-1-1-22211-1-1-1-11-2110000−33−33−3−333−3−33300003−33−333−3−333−3−300002-2-22000000000000-111-13−3−330000000000
χ642-2-2-2-22222-1-22-22-2-21-22-21-11-112-12-1111-11-1-100001-1-1-22211-1-1-1-11-2110000−33−33−3−333−3−33300003−33−333−3−333−3−30000-222-20000000000001-1-11−333−30000000000
χ652-2-2-2-2222-122-22-211-21-11-22-22-2-12-1-1111-11-1-100002-2-2-111-1-111112-1-1-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i32-2-22000000000000−i3i3i3−i300000000-111-1000000
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χ1264-4-4-4-4444-2-2-44-442222-222-22-22-2-2-21-1-1-11-11100002-2-22-2-2-1-1111122-1-10000−2323−232333−3−333−3−3000023−2323−23−3−333−3−33300000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.