Finite Group Databasebeta

← Group #11788348

Character table — Group #11788348

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order122222223344444466666666666666121212121212121223466666666666666666666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-111-1-1ii−i−i
χ61111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111-1-111−i−iii
χ71111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-111-1-1−i−iii
χ81111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111-1-111ii−i−i
χ9111111-1-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-1-1-111i−ii−i
χ10111111-1-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-111-1-1-11111-1-1−ii−ii
χ11111111-1-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-1-1-111−ii−ii
χ12111111-1-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-111-1-1-11111-1-1i−ii−i
χ13111111-1-111-1-111111111111-1-1-1-1111-1-1-1-11111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-11
χ14111111-1-111-1-111111111111-1-1-1-1111-1-1-1-11111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1
χ15111111-1-111-1-111111111111-1-1-1-1111-1-1-1-11111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-111-1
χ16111111-1-111-1-111111111111-1-1-1-1111-1-1-1-11111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11
χ17222222222-122222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-122222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ19222222222-1-2-2-2-2-2-222222-1-1-1-1-1-1-122111111112-1-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-211111111111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ20222222222-1-2-2-2-2-2-222222-1-1-1-1-1-1-122111111112-1-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-21111111111111111−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ2122222222-12222222-1-1-1-1-12222222-1-1222222222-1222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ2222222222-12222222-1-1-1-1-12222222-1-1222222222-1222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ2322222222-12-2-2-2-2-2-2-1-1-1-1-12222222-1-1-2-2-2-2-2-2-2-22-1-222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000000000000000000000002-22-2-1-111-1-1110000
χ2422222222-12-2-2-2-2-2-2-1-1-1-1-12222222-1-1-2-2-2-2-2-2-2-22-1-222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111111111000000000000000000000000-22-2211-1-111-1-10000
χ25222222-2-22-122-2-2-2-222222-1-11111-122-1-1-1-11111-2-12-1-1-2-2-2-211-1-1-1-1-1-111111111-1-1-1112222-2-2-2-2-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ26222222-2-22-122-2-2-2-222222-1-11111-122-1-1-1-11111-2-12-1-1-2-2-2-211-1-1-1-1-1-111111111-1-1-1112222-2-2-2-2-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ27222222-2-22-1-2-2222222222-1-11111-1221111-1-1-1-1-2-1-2-1-1-2-2-2-211-1-1-1-1-1-111111111-111-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ28222222-2-22-1-2-2222222222-1-11111-1221111-1-1-1-1-2-1-2-1-1-2-2-2-211-1-1-1-1-1-111111111-111-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ29222222-2-2-1222-2-2-2-2-1-1-1-1-122-2-2-2-22-1-12222-2-2-2-2-2-12221111-2-2-1-1-1-1-1-111111111-122-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000000000002-2-22-1-11111-1-10000
χ30222222-2-2-1222-2-2-2-2-1-1-1-1-122-2-2-2-22-1-12222-2-2-2-2-2-12221111-2-2-1-1-1-1-1-111111111-122-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000-222-211-1-1-1-1110000
χ31222222-2-2-12-2-22222-1-1-1-1-122-2-2-2-22-1-1-2-2-2-22222-2-1-2221111-2-2-1-1-1-1-1-111111111-1-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000000022-2-2-1-1-1-111110000
χ32222222-2-2-12-2-22222-1-1-1-1-122-2-2-2-22-1-1-2-2-2-22222-2-1-2221111-2-2-1-1-1-1-1-111111111-1-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000-2-2221111-1-1-1-10000
χ332222-2-222222222-2-22-2-2-2-222222222222222222-22-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-22-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ342222-2-22222-2-2-2-2222-2-2-2-2222222222-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-2-2-22222-2-2-2-222222-2-222-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ352222-2-2222-12222-2-22-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-1-21122-2-211-1-11111-1-1-1-11111-1111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ362222-2-2222-12222-2-22-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-1-21122-2-211-1-11111-1-1-1-11111-1111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ372222-2-2222-1-2-2-2-2222-2-2-2-2-1-1-1-1-1-1-12211111111-2-121122-2-211-1-11111-1-1-1-11111-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000000000
χ382222-2-2222-1-2-2-2-2222-2-2-2-2-1-1-1-1-1-1-12211111111-2-121122-2-211-1-11111-1-1-1-11111-1-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−30000000000000000
χ392222-2-222-122222-2-2-111112222222-1-122222222-2-1-2-2-2-1-111-2-2-1-11111-1-1-1-11111-1-2-2-2-2-1-111-1-111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ402222-2-222-122222-2-2-111112222222-1-122222222-2-1-2-2-2-1-111-2-2-1-11111-1-1-1-11111-1-2-2-2-2-1-111-1-111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ412222-2-222-12-2-2-2-222-111112222222-1-1-2-2-2-2-2-2-2-2-2-12-2-2-1-111-2-2-1-11111-1-1-1-11111-1222211-1-111-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ422222-2-222-12-2-2-2-222-111112222222-1-1-2-2-2-2-2-2-2-2-2-12-2-2-1-111-2-2-1-11111-1-1-1-11111-1222211-1-111-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ432222-2-2-2-22222-2-2222-2-2-2-222-2-2-2-22222222-2-2-2-222-2-2-2-2-2222222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ442222-2-2-2-222-2-222-2-22-2-2-2-222-2-2-2-2222-2-2-2-22222222-2-2-2-2222222-2-2-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ452222-2-2-2-22-122-2-2222-2-2-2-2-1-11111-122-1-1-1-111112-1-211-2-222-1-1-1-111111111-1-1-1-1-111-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−3330000000000000000
χ462222-2-2-2-22-122-2-2222-2-2-2-2-1-11111-122-1-1-1-111112-1-211-2-222-1-1-1-111111111-1-1-1-1-111-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−30000000000000000
χ472222-2-2-2-22-1-2-222-2-22-2-2-2-2-1-11111-1221111-1-1-1-12-1211-2-222-1-1-1-111111111-1-1-1-1-1-1-111-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ482222-2-2-2-22-1-2-222-2-22-2-2-2-2-1-11111-1221111-1-1-1-12-1211-2-222-1-1-1-111111111-1-1-1-1-1-1-111-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ492222-2-2-2-2-1222-2-222-1111122-2-2-2-22-1-12222-2-2-2-22-1-2-2-211-1-122-1-111111111-1-1-1-1-1-2-222-1-11111-1-1-1-1-1-111111111-1-1-1-10000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ502222-2-2-2-2-1222-2-222-1111122-2-2-2-22-1-12222-2-2-2-22-1-2-2-211-1-122-1-111111111-1-1-1-1-1-2-222-1-11111-1-1-1-1-1-111111111-1-1-1-10000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ512222-2-2-2-2-12-2-222-2-2-1111122-2-2-2-22-1-1-2-2-2-222222-12-2-211-1-122-1-111111111-1-1-1-1-122-2-211-1-1-1-1111111-1-1-1-1-1-1-1-111110000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ522222-2-2-2-2-12-2-222-2-2-1111122-2-2-2-22-1-1-2-2-2-222222-12-2-211-1-122-1-111111111-1-1-1-1-122-2-211-1-1-1-1111111-1-1-1-1-1-1-1-111110000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ532-2-222-20022002-22-2-222-2-2-2-200002-22000022-2-20202-2000000-2-222-2-2000000002002-200002-22-20000000022-2-222-2-2002i−2i2i−2i0000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ542-2-222-20022002-22-2-222-2-2-2-200002-22000022-2-20202-2000000-2-222-2-2000000002002-200002-22-20000000022-2-222-2-200−2i2i−2i2i000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ552-2-222-2002200-22-22-222-2-2-2-200002-220000-2-2220202-2000000-2-222-2-200000000200-220000-22-2200000000-2-222-2-222002-2-220000002-22-2-22-2200000000000000000000
χ562-2-222-2002200-22-22-222-2-2-2-200002-220000-2-2220202-2000000-2-222-2-200000000200-220000-22-2200000000-2-222-2-22200-222-2000000-22-222-22-200000000000000000000
χ572-2-222-2002-1002-22-2-222-2-211−i3−i3i3i3-1-22−i3−i3i3i3-1-1110-10-110000−i3i311-1-111−i3−i3i3i3−i3−i3i3i3-1−i3i3-1100002-22-2−i3−i3i3i3−i3−i3i3i3-1-111-1-111002i−2i2i−2i003−33−3−ii−ii−ii−ii3−33−30000000000000000
χ582-2-222-2002-1002-22-2-222-2-211−i3−i3i3i3-1-22−i3−i3i3i3-1-1110-10-110000−i3i311-1-111−i3−i3i3i3−i3−i3i3i3-1−i3i3-1100002-22-2−i3−i3i3i3−i3−i3i3i3-1-111-1-11100−2i2i−2i2i00−33−33i−ii−ii−ii−i−33−330000000000000000
χ592-2-222-2002-1002-22-2-222-2-211i3i3−i3−i3-1-22i3i3−i3−i3-1-1110-10-110000i3−i311-1-111i3i3−i3−i3i3i3−i3−i3-1i3−i3-1100002-22-2i3i3−i3−i3i3i3−i3−i3-1-111-1-111002i−2i2i−2i00−33−33−ii−ii−ii−ii−33−330000000000000000
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χ1314-4-44-4400-2-200-444-4222-2-222−2i3−2i32i32i3-22-22i32i3−2i3−2i322-2-20102-200002i3−2i3-1-1-1-111i3i3−i3−i3−i3−i3i3i31−2i32i3-2200002-2-22−i3−i3i3i3i3i3−i3−i3-1-11111-1-10000000000000000000000000000000000000000
χ1324-4-44-4400-2-200-444-4222-2-2222i32i3−2i3−2i3-22-2−2i3−2i32i32i322-2-20102-20000−2i32i3-1-1-1-111−i3−i3i3i3i3i3−i3−i312i3−2i3-2200002-2-22i3i3−i3−i3−i3−i3i3i3-1-11111-1-10000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).