Finite Group Databasebeta

← Group #11776142

Character table — Group #11776142

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order122233444466666612121212444434666888812121212121212121212121224242424242424242244666612121212121212121224242424242424242424242448888888812121212242424242424242444242424248888121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1
χ9111111-1-1-1-1111111-1-1-1-1111111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i1ii−i−iii−i−i11-1-1iiii−i−i−i−i1-1ii−i−iii−i−i1-11-1
χ10111111-1-1-1-1111111-1-1-1-1111111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i1−i−iiiii−i−i11-1-1iiii−i−i−i−i-11−i−iii−i−iii-11-11
χ11111111-1-1-1-1111111-1-1-1-1111111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii1ii−i−i−i−iii11-1-1−i−i−i−iiiii-11ii−i−iii−i−i-11-11
χ12111111-1-1-1-1111111-1-1-1-1111111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii1−i−iii−i−iii11-1-1−i−i−i−iiiii1-1−i−iii−i−iii1-11-1
χ13111111-1-1-1-1111111-1-1-1-1-1-1-1-111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i-1ii−i−i−i−iii-1-111−i−i−i−iiiii1-1ii−i−i−i−iii1-1-11
χ14111111-1-1-1-1111111-1-1-1-1-1-1-1-111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i-1−i−iii−i−iii-1-111−i−i−i−iiiii-11−i−iiiii−i−i-111-1
χ15111111-1-1-1-1111111-1-1-1-1-1-1-1-111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii-1ii−i−iii−i−i-1-111iiii−i−i−i−i-11ii−i−i−i−iii-111-1
χ16111111-1-1-1-1111111-1-1-1-1-1-1-1-111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii-1−i−iiiii−i−i-1-111iiii−i−i−i−i1-1−i−iiiii−i−i1-1-11
χ172222222-22-2222222222222222-22220000-2-2-2-2-2222222-20000000022-2-222222222-2-2-2-2-2000000000000-200000000-2-2-2-20000000000000000000000
χ182222222-22-22222222222-2-2-2-22-22220000-2-2-2-2-2222222-200000000-2-222-2-2-2-2-2-2-2-2-2-2-2-2-200000000000020000000022220000000000000000000000
χ19222222-22-22222222-2-2-2-222222-222200002-2-222-2-2-2-2-2-2200000000-2-222-2-2-2-22222-2-2-222000000000000-200000000-2-2220000000000000000000000
χ20222222-22-22222222-2-2-2-2-2-2-2-22-222200002-2-222-2-2-2-2-2-220000000022-2-22222-2-2-2-2-2-2-22200000000000020000000022-2-20000000000000000000000
χ2122222-1222222-1-1-12-1-1-1-12222-12-1-1-122222-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1200002222-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-1222222-1-1-12-1-1-1-12222-12-1-1-1-2-2-2-22-1-1-1-12-1-12-1-12111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-2111120000-2-2-2-2-1-1-1-11111111100000000000000
χ2322222-1222222-1-1-12-1-1-1-1-2-2-2-2-12-1-1-122222-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-20000-2-2-2-211111111111100000000000000
χ2422222-1222222-1-1-12-1-1-1-1-2-2-2-2-12-1-1-1-2-2-2-22-1-1-1-12-1-12-1-1211111111-2-2-2-2111111112-1-1-1-1-2-21111-2-21111-2000022221111-1-1-1-1-1-1-1-100000000000000
χ2522222-12-22-222-1-1-12-1-1-1-12222-1-2-1-1-10000-211112-1-12-1-1-2−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300−i3−i3i3i3-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000
χ2622222-12-22-222-1-1-12-1-1-1-12222-1-2-1-1-10000-211112-1-12-1-1-2i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300i3i3−i3−i3-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000
χ2722222-12-22-222-1-1-12-1-1-1-1-2-2-2-2-1-2-1-1-10000-211112-1-12-1-1-2−i3−i3i3i3−i3−i3i3i3-2-22211111111-2111100−i3−i3i3i300−i3−i3i3i3200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ2822222-12-22-222-1-1-12-1-1-1-1-2-2-2-2-1-2-1-1-10000-211112-1-12-1-1-2i3i3−i3−i3i3i3−i3−i3-2-22211111111-2111100i3i3−i3−i300i3i3−i3−i3200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ2922222-1-22-2222-1-1-1211112222-1-2-1-1-10000211-1-1-211-211233−3−3−3−333-2-2221111-1-1-1-1-211-1-10033−3−300−3−333-20000000011-1-133−3−3−3−33300000000000000
χ3022222-1-22-2222-1-1-1211112222-1-2-1-1-10000211-1-1-211-2112−3−33333−3−3-2-2221111-1-1-1-1-211-1-100−3−3330033−3−3-20000000011-1-1−3−33333−3−300000000000000
χ3122222-1-22-2222-1-1-121111-2-2-2-2-1-2-1-1-10000211-1-1-211-211233−3−3−3−33322-2-2-1-1-1-11111-211-1-10033−3−300−3−333200000000-1-111−3−33333−3−300000000000000
χ3222222-1-22-2222-1-1-121111-2-2-2-2-1-2-1-1-10000211-1-1-211-2112−3−33333−3−322-2-2-1-1-1-11111-211-1-100−3−3330033−3−3200000000-1-11133−3−3−3−33300000000000000
χ3322222-1-2-2-2-222-1-1-1211112222-12-1-1-12i2i−2i−2i-2-1-111-211-211-2−i−i−i−iiiii-2-2-2-21111-1-1-1-12-1-1112i2i−i−i−i−i−2i−2iiiii200002i2i−2i−2i-1-111−i−i−i−iiiii00000000000000
χ3422222-1-2-2-2-222-1-1-1211112222-12-1-1-1−2i−2i2i2i-2-1-111-211-211-2iiii−i−i−i−i-2-2-2-21111-1-1-1-12-1-111−2i−2iiiii2i2i−i−i−i−i20000−2i−2i2i2i-1-111iiii−i−i−i−i00000000000000
χ3522222-1-2-2-2-222-1-1-121111-2-2-2-2-12-1-1-12i2i−2i−2i-2-1-111-211-211-2−i−i−i−iiiii2222-1-1-1-111112-1-1112i2i−i−i−i−i−2i−2iiiii-20000−2i−2i2i2i11-1-1iiii−i−i−i−i00000000000000
χ3622222-1-2-2-2-222-1-1-121111-2-2-2-2-12-1-1-1−2i−2i2i2i-2-1-111-211-211-2iiii−i−i−i−i2222-1-1-1-111112-1-111−2i−2iiiii2i2i−i−i−i−i-200002i2i−2i−2i11-1-1−i−i−i−iiiii00000000000000
χ372222-122222-1-1222-122220000-12-1-1-12222-12222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-102222000000000000000022-1-1-1-10000-1-100
χ382222-122222-1-1222-122220000-12-1-1-12222-12222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-20000000000000000-2-2111100001100
χ392222-122222-1-1222-122220000-12-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111022220000000000000000-2-2-1-1-1-100001100
χ402222-122222-1-1222-122220000-12-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-11111111111110-2-2-2-200000000000000002211110000-1-100
χ412222-12-2-2-2-2-1-1222-1-2-2-2-20000-12-1-1-12i2i−2i−2i122-2-211111112i2i2i2i−2i−2i−2i−2i000000000000-1-1-111−i−i−i−i−i−iiiiiii02i2i−2i−2i00000000000000002-2−i−iii0000-1100
χ422222-12-2-2-2-2-1-1222-1-2-2-2-20000-12-1-1-12i2i−2i−2i122-2-211111112i2i2i2i−2i−2i−2i−2i000000000000-1-1-111−i−i−i−i−i−iiiiiii0−2i−2i2i2i0000000000000000-22ii−i−i00001-100
χ432222-12-2-2-2-2-1-1222-1-2-2-2-20000-12-1-1-1−2i−2i2i2i122-2-21111111−2i−2i−2i−2i2i2i2i2i000000000000-1-1-111iiiiii−i−i−i−i−i−i02i2i−2i−2i0000000000000000-22−i−iii00001-100
χ442222-12-2-2-2-2-1-1222-1-2-2-2-20000-12-1-1-1−2i−2i2i2i122-2-21111111−2i−2i−2i−2i2i2i2i2i000000000000-1-1-111iiiiii−i−i−i−i−i−i0−2i−2i2i2i00000000000000002-2ii−i−i0000-1100
χ4522-2-222020-22-22-2-2-200002i2i−2i−2i202-2-2−i2i2−i2i2-2002-20000002−i2i2−i2i2−i2i2−i2i2002i−2i00002i2i−2i−2i0002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000002−22−2002i−2i2−22−22−22−200000000000000
χ4622-2-222020-22-22-2-2-200002i2i−2i−2i202-2-2i2−i2i2−i2-2002-20000002i2−i2i2−i2i2−i2i2−i2002i−2i00002i2i−2i−2i0002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000−22−22002i−2i−22−22−22−2200000000000000
χ4722-2-222020-22-22-2-2-20000−2i−2i2i2i202-2-2−i2i2−i2i2-2002-20000002−i2i2−i2i2−i2i2−i2i200−2i2i0000−2i−2i2i2i0002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000−22−2200−2i2i−22−22−22−2200000000000000
χ4822-2-222020-22-22-2-2-20000−2i−2i2i2i202-2-2i2−i2i2−i2-2002-20000002i2−i2i2−i2i2−i2i2−i200−2i2i0000−2i−2i2i2i0002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000002−22−200−2i2i2−22−22−22−200000000000000
χ4922-2-2220-2022-22-2-2-200002i2i−2i−2i202-2-22−2−22200-22000000-22−22−2−22−2200−2i2i00002i2i−2i−2i000-222−22−22−2−22−22−2200000i2−i2−i2i200−2i2ii2−i2i2−i2−i2i2−i2i200000000000000
χ5022-2-2220-2022-22-2-2-200002i2i−2i−2i202-2-2−222−2200-22000000-2−22−222−22−200−2i2i00002i2i−2i−2i000-22−22−22−222−22−22−200000−i2i2i2−i200−2i2i−i2i2−i2i2i2−i2i2−i200000000000000
χ5122-2-2220-2022-22-2-2-20000−2i−2i2i2i202-2-22−2−22200-22000000-22−22−2−22−22002i−2i0000−2i−2i2i2i000-222−22−22−2−22−22−2200000−i2i2i2−i2002i−2i−i2i2−i2i2i2−i2i2−i200000000000000
χ5222-2-2220-2022-22-2-2-20000−2i−2i2i2i202-2-2−222−2200-22000000-2−22−222−22−2002i−2i0000−2i−2i2i2i000-22−22−22−222−22−22−200000i2−i2−i2i2002i−2ii2−i2i2−i2−i2i2−i2i200000000000000
χ5322-2-22-1020-22-2-111-23−33−32i2i−2i−2i-10-111−i2i2−i2i2-23−3-1103−303−32ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7002i−2i−i3−i3i3i3−i−iii03−3-11−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000002−22−2−i3i3−iiζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ5422-2-22-1020-22-2-111-23−33−32i2i−2i−2i-10-111i2−i2i2−i2-23−3-1103−303−32−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7002i−2i−i3−i3i3i3−i−iii03−3-11i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000−22−22−i3i3−ii−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ5522-2-22-1020-22-2-111-23−33−3−2i−2i2i2i-10-111−i2i2−i2i2-23−3-1103−303−32ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700−2i2ii3i3−i3−i3ii−i−i03−3-11−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000−22−22i3−i3i−i−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ5622-2-22-1020-22-2-111-23−33−3−2i−2i2i2i-10-111i2−i2i2−i2-23−3-1103−303−32−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700−2i2ii3i3−i3−i3ii−i−i03−3-11i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000002−22−2i3−i3i−iζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ5722-2-22-1020-22-2-111-2−33−332i2i−2i−2i-10-111−i2i2−i2i2-2−33-110−330−332ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23002i−2ii3i3−i3−i3−i−iii0−33-11−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000002−22−2i3−i3−iiζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ5822-2-22-1020-22-2-111-2−33−332i2i−2i−2i-10-111i2−i2i2−i2-2−33-110−330−332−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23002i−2ii3i3−i3−i3−i−iii0−33-11i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000−22−22i3−i3−ii−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−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.