Finite Group Databasebeta

← Group #11777536

Character table — Group #11777536

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222444433444466666612121212121212123666121212121212121212121212888888121212122424242424242424242424242424242444448888882424242424242424242424242424242444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-1i−iii−i−iii−i−iii−i−iiiii−i−i−i−i1-111-1-111-1-1ii−i−i11-1-1
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111i−i−i−iiiii−i−iii−i−i−i−i−i−iiiii1-111-1-1-1-111−i−iii-1-111
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i−ii11-1-1−i−iii−i−iii−i−i−i−iiiii11-1-1i−i−i−iiiii−i−iii−i−i−i−i−i−iiiii-11-1-11111-1-1ii−i−i-1-111
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i−ii11-1-1−i−iii−i−iii−i−i−i−iiiii-1-111i−iii−i−iii−i−iii−i−iiiii−i−i−i−i-11-1-111-1-111−i−iii11-1-1
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iiii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-1−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i-11-1-11111-1-1−i−iii-1-111
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iiii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111−ii−i−iii−i−iii−i−iii−i−i−i−iiiii-11-1-111-1-111ii−i−i11-1-1
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii11-1-1−ii−i−iii−i−iii−i−iii−i−i−i−iiiii1-111-1-111-1-1−i−iii11-1-1
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii-1-111−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i1-111-1-1-1-111ii−i−i-1-111
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2222200-2-2-2-200000000000000000000-2-200002222-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-200-2-2-2-200000000000000000000220000-2-2-2-2222200000000000000000000000000
χ19222222222-122222-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000220000-1-1-1-1-1-1-1-10000000022-1-1-1-1000000000000
χ20222222222-122222-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-2-2-1-1-1-1-2-2-2-21111111111110000220000-1-1-1-1-1-1-1-100000000-2-21111000000000000
χ21222222222-122222-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-200001111111100000000-2-21111000000000000
χ22222222222-122222-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-2-2-2-21111111111110000-2-20000111111110000000022-1-1-1-1000000000000
χ23222222222-1-2-2-2-22-122-1-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-222220011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000-2-20000-1-1-1-111110000000000−i3i3−i3i3000000000000
χ24222222222-1-2-2-2-22-122-1-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-222220011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000-2-20000-1-1-1-111110000000000i3−i3i3−i3000000000000
χ25222222222-1-2-2-2-22-122-1-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-20011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300002200001111-1-1-1-10000000000i3−i3i3−i3000000000000
χ26222222222-1-2-2-2-22-122-1-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-20011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300002200001111-1-1-1-10000000000−i3i3−i3i3000000000000
χ2722222222-122222-12-1-122-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200222200000000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ2822222222-122222-12-1-122-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-20000000011111111000000111100000000
χ2922222222-122222-12-1-122-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-10000-2-2-1-1-1-11111-2-2-2-211111111222200-2-2-2-20000000011111111000000-1-1-1-100000000
χ3022222222-122222-12-1-122-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-10000-2-2-1-1-1-11111-2-2-2-211111111-2-2-2-200222200000000-1-1-1-1-1-1-1-1000000111100000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2222i2i−2i−2i00-2-22200000000000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-222−2i−2i2i2i00-2-222000000000000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ332222-2-2-2-22-122-2-22-122-1-1-2-2-2-21111-1-1-1-1-2-211-1-11111222i2i−2i−2i0011-1-100003−3−3333−3−3−3−3330000−2i2i0000−i−iiiii−i−i0000000000−i3i3i3−i3000000000000
χ342222-2-2-2-22-122-2-22-122-1-1-2-2-2-21111-1-1-1-1-2-211-1-11111222i2i−2i−2i0011-1-10000−333−3−3−33333−3−30000−2i2i0000−i−iiiii−i−i0000000000i3−i3−i3i3000000000000
χ352222-2-2-2-22-122-2-22-122-1-1-2-2-2-21111-1-1-1-1-2-211-1-1111122−2i−2i2i2i0011-1-100003−3−3333−3−3−3−33300002i−2i0000ii−i−i−i−iii0000000000i3−i3−i3i3000000000000
χ362222-2-2-2-22-122-2-22-122-1-1-2-2-2-21111-1-1-1-1-2-211-1-1111122−2i−2i2i2i0011-1-10000−333−3−3−33333−3−300002i−2i0000ii−i−i−i−iii0000000000−i3i3i3−i3000000000000
χ372222-2-2-2-22-1-2-2222-122-1-1-2-2-2-21111-1-1-1-122-1-1111111-2-22i2i−2i−2i2i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii00002i−2i0000−i−iii−i−iii000000002-2-1-111000000000000
χ382222-2-2-2-22-1-2-2222-122-1-1-2-2-2-21111-1-1-1-122-1-1111111-2-22i2i−2i−2i−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i00002i−2i0000−i−iii−i−iii00000000-2211-1-1000000000000
χ392222-2-2-2-22-1-2-2222-122-1-1-2-2-2-21111-1-1-1-122-1-1111111-2-2−2i−2i2i2i2i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii0000−2i2i0000ii−i−iii−i−i00000000-2211-1-1000000000000
χ402222-2-2-2-22-1-2-2222-122-1-1-2-2-2-21111-1-1-1-122-1-1111111-2-2−2i−2i2i2i−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i0000−2i2i0000ii−i−iii−i−i000000002-2-1-111000000000000
χ412222-2-2-2-2-12-2-222-12-1-1221111-2-2-2-2-1-1-1-1-1-122-2-211111100002i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii22-2-2002i2i−2i−2i00000000−i−i−i−iiiii000000-1-11100000000
χ422222-2-2-2-2-12-2-222-12-1-1221111-2-2-2-2-1-1-1-1-1-122-2-211111100002i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii-2-22200−2i−2i2i2i00000000iiii−i−i−i−i00000011-1-100000000
χ432222-2-2-2-2-12-2-222-12-1-1221111-2-2-2-2-1-1-1-1-1-122-2-21111110000−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i22-2-200−2i−2i2i2i00000000iiii−i−i−i−i000000-1-11100000000
χ442222-2-2-2-2-12-2-222-12-1-1221111-2-2-2-2-1-1-1-1-1-122-2-21111110000−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i-2-222002i2i−2i−2i00000000−i−i−i−iiiii00000011-1-100000000
χ4522-2-222-2-222000022-2-2-2-222-2-222-2-222-2-200000022-2-2002-22-200000000000000000000000000002−22−22-22-2000022−2−222−2−2000000000000002−22−2
χ4622-2-222-2-222000022-2-2-2-222-2-222-2-222-2-200000022-2-2002-22-20000000000000000000000000000−22−222-22-20000−2−222−2−22200000000000000−22−22
χ4722-2-222-2-222000022-2-2-2-222-2-222-2-222-2-200000022-2-200-22-2200000000000000000000000000002−22−2-22-22000022−2−222−2−200000000000000−22−22
χ4822-2-222-2-222000022-2-2-2-222-2-222-2-222-2-200000022-2-200-22-220000000000000000000000000000−22−22-22-220000−2−222−2−222000000000000002−22−2
χ4922-2-2-2-22222000022-2-2-2-2-2-222-2-22222-2-2000000-2-222002i−2i−2i2i0000000000000000000000000000−i2i2i2−i22i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i200000000000000−222−2
χ5022-2-2-2-22222000022-2-2-2-2-2-222-2-22222-2-2000000-2-222002i−2i−2i2i0000000000000000000000000000i2−i2−i2i22i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i2000000000000002−2−22
χ5122-2-2-2-22222000022-2-2-2-2-2-222-2-22222-2-2000000-2-22200−2i2i2i−2i0000000000000000000000000000−i2i2i2−i2−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i2000000000000002−2−22
χ5222-2-2-2-22222000022-2-2-2-2-2-222-2-22222-2-2000000-2-22200−2i2i2i−2i0000000000000000000000000000i2−i2−i2i2−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i200000000000000−222−2
χ532-22-22i−2i2i−2i222i−2i2-2-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000002-22i−2i00000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ542-22-22i−2i2i−2i222i−2i2-2-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000002-22i−2i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ552-22-22i−2i2i−2i22−2i2i-22-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-2-22-22−2i2i2i−2i2i−2i−2i2i000000-22−2i2i00000000000000002-22i−2i00000000000000000000000000002-22i−2i00000000
χ562-22-22i−2i2i−2i22−2i2i-22-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-2-22-22−2i2i2i−2i2i−2i−2i2i000000-22−2i2i0000000000000000-22−2i2i0000000000000000000000000000-22−2i2i00000000
χ572-22-22i−2i2i−2i-12−2i2i-221-2-112-2−ii−ii2i−2i2i−2i-11-111-1-22−2i2i−ii−iii−i0000001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ132-22i−2i00000000000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000-11−ii00000000
χ582-22-22i−2i2i−2i-12−2i2i-221-2-112-2−ii−ii2i−2i2i−2i-11-111-1-22−2i2i−ii−iii−i0000001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13-22−2i2i00000000000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000001-1i−i00000000
χ592-22-22i−2i2i−2i-12−2i2i-221-2-112-2−ii−ii2i−2i2i−2i-11-111-1-22−2i2i−ii−iii−i0000001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ132-22i−2i00000000000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000-11−ii00000000
χ602-22-22i−2i2i−2i-12−2i2i-221-2-112-2−ii−ii2i−2i2i−2i-11-111-1-22−2i2i−ii−iii−i0000001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13-22−2i2i00000000000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000001-1i−i00000000
χ612-22-2−2i2i−2i2i222i−2i-22-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-22-222i−2i−2i2i−2i2i2i−2i000000-222i−2i00000000000000002-2−2i2i00000000000000000000000000002-2−2i2i00000000
χ622-22-2−2i2i−2i2i222i−2i-22-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2-22-222i−2i−2i2i−2i2i2i−2i000000-222i−2i0000000000000000-222i−2i0000000000000000000000000000-222i−2i00000000
χ632-22-2−2i2i−2i2i22−2i2i2-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i0000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ642-22-2−2i2i−2i2i22−2i2i2-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000002-2−2i2i00000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ652-22-2−2i2i−2i2i-122i−2i-221-2-112-2i−ii−i−2i2i−2i2i-11-111-1-222i−2ii−ii−i−ii0000001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ232-2−2i2i00000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000-11i−i00000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.