Finite Group Databasebeta

← Group #11789115

Character table — Group #11789115

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444444444444412121212121212121212121212121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ91-1111-1-1-1111-11-111-1-1-1-1-1-11111-1-1111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−ii−iii−i−i
χ101-1111-1-1-1111-11-111-1-1-1-1-1-11111-1-1111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−ii−i−iii
χ111-1111-1-1-1111-11-111-1-1-1-1-1-11111-1-1111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11i−i-1-111-1-111ii−i−iii−i−i−ii−i−iii
χ121-1111-1-1-1111-11-111-1-1-1-1-1-11111-1-1111-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11−ii-1-111-1-111−i−iii−i−iiii−iii−i−i
χ131-1111-1-1-1111-11-111-1-1-1-1-1-11111-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1ii−i−iii−i−i-11−ii11-1-1-1-111ii−i−i−i−iiii−i−i−iii
χ141-1111-1-1-1111-11-111-1-1-1-1-1-11111-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1−i−iii−i−iii-11i−i11-1-1-1-111−i−iiiii−i−i−iiii−i−i
χ151-1111-1-1-1111-11-111-1-1-1-1-1-11111-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111ii−i−i−i−iii1-1−ii-1-11111-1-1ii−i−i−i−iii−iiii−i−i
χ161-1111-1-1-1111-11-111-1-1-1-1-1-11111-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111−i−iiiii−i−i1-1i−i-1-11111-1-1−i−iiiii−i−ii−i−i−iii
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
χ19222222222-122222222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000002200-1-1-1-1-1-1-1-100000000000000
χ20222222222-122222222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2001111111100000000000000
χ21222222222-122222222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111222200000000-2-200-1-1-1-1111100000000000000
χ22222222222-122222222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-20000000022001111-1-1-1-100000000000000
χ2322222222-122222-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-1000000
χ2422222222-122222-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-12222-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-20000000011111111000000
χ2522222222-122222-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100002222000000-2-200000000-1-1-1-11111000000
χ2622222222-122222-1-1-1-12222-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2-2-200000022000000001111-1-1-1-1000000
χ27222-2-22-2-22222-2-2-2-22-222-2-222-2-22-22-2-222-2-220000222-22-22222-2-2-2-2-2-20000000000000000000000000000000000002-22-200000000000000002-22-20000000000
χ28222-2-22-2-22222-2-2-2-22-222-2-222-2-22-22-2-222-2-220000222-22-22222-2-2-2-2-2-2000000000000000000000000000000000000-22-220000000000000000-22-220000000000
χ29222-2-22-2-222-2-222-2-22-222-2-222-2-22-22-2-222-2-220000-2-2-22-22-2-2-2-2222222000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i000000000000000000
χ30222-2-22-2-222-2-222-2-22-222-2-222-2-22-22-2-222-2-220000-2-2-22-22-2-2-2-222222200000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000
χ31222-2-22-2-22-1-2-222-2-22-2-1-1112-1112-2-111-1-111-10000-21-221-11111-1-12-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32i−2i2i−2i000000000000−ii−ii3−33−300000000000000
χ32222-2-22-2-22-1-2-222-2-22-2-1-1112-1112-2-111-1-111-10000-21-221-11111-1-12-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−2i2i−2i2i000000000000i−ii−i−33−3300000000000000
χ33222-2-22-2-22-1-2-222-2-22-2-1-1112-1112-2-111-1-111-10000-21-221-11111-1-12-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32i−2i2i−2i000000000000−ii−ii−33−3300000000000000
χ34222-2-22-2-22-1-2-222-2-22-2-1-1112-1112-2-111-1-111-10000-21-221-11111-1-12-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3−2i2i−2i2i000000000000i−ii−i3−33−300000000000000
χ35222-2-22-2-2-1222-2-211-1122-2-2-12-2-2-11-111-1-111-10000-12-112-2-1-1-1-1111-21133−3−3000033−3−333−3−333−3−3000033−3−333−3−300002-22-20000000000000000-11-113−33−3000000
χ36222-2-22-2-2-1222-2-211-1122-2-2-12-2-2-11-111-1-111-10000-12-112-2-1-1-1-1111-21133−3−3000033−3−333−3−333−3−3000033−3−333−3−30000-22-2200000000000000001-11-1−33−33000000
χ37222-2-22-2-2-1222-2-211-1122-2-2-12-2-2-11-111-1-111-10000-12-112-2-1-1-1-1111-211−3−3330000−3−333−3−333−3−3330000−3−333−3−33300002-22-20000000000000000-11-11−33−33000000
χ38222-2-22-2-2-1222-2-211-1122-2-2-12-2-2-11-111-1-111-10000-12-112-2-1-1-1-1111-211−3−3330000−3−333−3−333−3−3330000−3−333−3−3330000-22-2200000000000000001-11-13−33−3000000
χ3922-22-2-2-222200002-22-22-22-2-2-22-2-2222-22-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002-22-20000000000000000000000−i2i2−i2i2
χ4022-22-2-2-222200002-22-22-22-2-2-22-2-2222-22-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000-22-220000000000000000000000i2−i2i2−i2
χ4122-22-2-2-222200002-22-22-22-2-2-22-2-2222-22-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002-22-20000000000000000000000i2−i2i2−i2
χ4222-22-2-2-222200002-22-22-22-2-2-22-2-2222-22-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000-22-220000000000000000000000−i2i2−i2i2
χ432-2222-2-2-222-22-2222-2-2-2-2-2-22222-2-2222-2-2-2-220000-2-22222-2-22222-2-2-2-200000000000000000000000000000000000000002i2i−2i−2i00000000000000000000−2i2i0000
χ442-2222-2-2-222-22-2222-2-2-2-2-2-22222-2-2222-2-2-2-220000-2-22222-2-22222-2-2-2-20000000000000000000000000000000000000000−2i−2i2i2i000000000000000000002i−2i0000
χ452-2222-2-2-22-12-22-222-2-211112-1-1-1-2-2-1-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2000000002-200-1-111-1-11100000000000000
χ462-2222-2-2-22-12-22-222-2-211112-1-1-1-2-2-1-1-11111-122-2-22-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200000000-220011-1-111-1-100000000000000
χ472-2222-2-2-22-12-22-222-2-211112-1-1-1-2-2-1-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-200000000-2200-1-11111-1-100000000000000
χ482-2222-2-2-22-12-22-222-2-211112-1-1-1-2-2-1-1-11111-1-2-2222-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-222000000002-20011-1-1-1-11100000000000000
χ492-2222-2-2-2-122-22-2-1-111-2-2-2-2-122211-1-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002i2i−2i−2i0000002i−2i00000000−i−iii−i−iii000000
χ502-2222-2-2-2-122-22-2-1-111-2-2-2-2-122211-1-1-11111-122-2-2-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−2i−2i2i2i000000−2i2i00000000ii−i−iii−i−i000000
χ512-2222-2-2-2-122-22-2-1-111-2-2-2-2-122211-1-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100002i2i−2i−2i000000−2i2i00000000−i−iiiii−i−i000000
χ522-2222-2-2-2-122-22-2-1-111-2-2-2-2-122211-1-1-11111-1-2-222-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−2i−2i2i2i0000002i−2i00000000ii−i−i−i−iii000000
χ532-22-2-2-222222-2-22-2-2-22-2-22222-2-2-222-2-2-2-2222000022-22-2222-2-222-2-2-2-20000000000000000000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ542-22-2-2-222222-2-22-2-2-22-2-22222-2-2-222-2-2-2-2222000022-22-2222-2-222-2-2-2-2000000000000000000000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ552-22-2-2-22222-222-2-2-2-22-2-22222-2-2-222-2-2-2-22220000-2-22-22-2-2-222-2-22222000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000000000
χ562-22-2-2-22222-222-2-2-2-22-2-22222-2-2-222-2-2-2-22220000-2-22-22-2-2-222-2-2222200000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000000000
χ572-22-2-2-2222-1-222-2-2-2-2211-1-12-111-22-11111-1-1-10000-212-2-1111-1-1112-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32i−2i−2i2i000000000000−iii−i3−3−3300000000000000
χ582-22-2-2-2222-1-222-2-2-2-2211-1-12-111-22-11111-1-1-10000-212-2-1111-1-1112-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3−2i2i2i−2i000000000000i−i−ii−333−300000000000000
χ592-22-2-2-2222-1-222-2-2-2-2211-1-12-111-22-11111-1-1-10000-212-2-1111-1-1112-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32i−2i−2i2i000000000000−iii−i−333−300000000000000
χ602-22-2-2-2222-1-222-2-2-2-2211-1-12-111-22-11111-1-1-10000-212-2-1111-1-1112-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−2i2i2i−2i000000000000i−i−ii3−3−3300000000000000
χ612-22-2-2-222-122-2-22111-1-2-222-12-2-21-1-11111-1-1-10000-121-1-22-1-111-1-11-21133−3−3000033−3−333−3−3−3−3330000−3−333−3−33300002i−2i−2i2i0000000000000000−iii−ii3−i3−i3i3000000
χ622-22-2-2-222-122-2-22111-1-2-222-12-2-21-1-11111-1-1-10000-121-1-22-1-111-1-11-21133−3−3000033−3−333−3−3−3−3330000−3−333−3−3330000−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i3000000
χ632-22-2-2-222-122-2-22111-1-2-222-12-2-21-1-11111-1-1-10000-121-1-22-1-111-1-11-211−3−3330000−3−333−3−33333−3−3000033−3−333−3−300002i−2i−2i2i0000000000000000−iii−i−i3i3i3−i3000000
χ642-22-2-2-222-122-2-22111-1-2-222-12-2-21-1-11111-1-1-10000-121-1-22-1-111-1-11-211−3−3330000−3−333−3−33333−3−3000033−3−333−3−30000−2i2i2i−2i0000000000000000i−i−iii3−i3−i3i3000000
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χ1234-4-4-444-44-2-200002-2222-2-22222-2-2-21-11-111-1-100000000003i−3i−3i3i3i−3i00−3i3ii6−i6−i6i66−6−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000000000
χ1244-4-4-444-44-2-200002-2222-2-22222-2-2-21-11-111-1-100000000003i−3i−3i3i3i−3i00−3i3i−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13i6−i6−i6i66−6−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000000000
χ1254-4-4-444-44-2-200002-2222-2-22222-2-2-21-11-111-1-10000000000−3i3i3i−3i−3i3i003i−3ii6−i6−i6i6−666−6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−i6i6i6−i66−6−66ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000000
χ1264-4-4-444-44-2-200002-2222-2-22222-2-2-21-11-111-1-10000000000−3i3i3i−3i−3i3i003i−3i−i6i6i6−i66−6−66ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23i6−i6−i6i6−666−6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000

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