Finite Group Databasebeta

← Group #11812872

Character table — Group #11812872

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order12222222222233666666666666663444466666666666666666666666121212121212121212121212121212121212121212121212121212121212121222444444444424446666121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-11111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-11-1-11111-1-1-1-111-1-1111111-1-1
χ811111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1-111
χ911111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111
χ1011111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-11-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ1111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-11-11-1-1-1-11111-1-1-1-11111-1-111-1-1
χ1211111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111
χ1311111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-11111
χ1411111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-11-1111-1-1-1-111-1-111-1-11111-1-1-1-1
χ1511111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111111-11-1-1-11111-1-111-1-111-1-111-1-1-1-1
χ1611111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111
χ172222222222222-1222-1-1-1-1-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220000002002-1-1-1-100000000-1-1-1-1000000
χ182222222222222-1222-1-1-1-1-1-12222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2000000-200-21111000000001111000000
χ192222222222222-1222-1-1-1-1-1-12222-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111220022000000-200-2-1-11100000000-1-111000000
χ202222222222222-1222-1-1-1-1-1-12222-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-200-2-2000000200211-1-10000000011-1-1000000
χ21222222222222-12-1-1-1222222-1-1-1-12-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022000002200000-1-1-1-1-1-1-1-10000000000
χ22222222222222-12-1-1-1222222-1-1-1-12-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000-2-200000111111110000000000
χ23222222222222-12-1-1-1222222-1-1-1-12-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110022002200000-2-200000-1-11111-1-10000000000
χ24222222222222-12-1-1-1222222-1-1-1-12-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100-2-200-2-200000220000011-1-1-1-1110000000000
χ2522222222-2-2-2-22-1222-1-1-1-1-1-12222-1-122-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1111111112200-2-2000000200-2-1-1-1-1000000001111000000
χ2622222222-2-2-2-22-1222-1-1-1-1-1-12222-1-122-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-20022000000-2002111100000000-1-1-1-1000000
χ2722222222-2-2-2-22-1222-1-1-1-1-1-12222-1-1-2-222-2-2-2-21111-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-12200-2-2000000-2002-1-1110000000011-1-1000000
χ2822222222-2-2-2-22-1222-1-1-1-1-1-12222-1-1-2-222-2-2-2-21111-1-1-1-1-1-111111111-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-2-20022000000200-211-1-100000000-1-111000000
χ2922222222-2-2-2-2-12-1-1-1222222-1-1-1-12-122-2-21111-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111002200-2-2000002-200000-1-1-1-111110000000000
χ3022222222-2-2-2-2-12-1-1-1222222-1-1-1-12-122-2-21111-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111100-2-2002200000-22000001111-1-1-1-10000000000
χ3122222222-2-2-2-2-12-1-1-1222222-1-1-1-12-1-2-2221111-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1002200-2-200000-2200000-1-111-1-1110000000000
χ3222222222-2-2-2-2-12-1-1-1222222-1-1-1-12-1-2-2221111-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-100-2-20022000002-20000011-1-111-1-10000000000
χ3322-2-2-222-222-2-22222222-2-2-2-2-2-2-2-222000022-2-222-2-2222-2-2-22222-2-2-2-2-200000000000000000000000000000000000000002i2i−2i−2i0000000000000000000000002i−2i
χ3422-2-2-222-222-2-22222222-2-2-2-2-2-2-2-222000022-2-222-2-2222-2-2-22222-2-2-2-2-20000000000000000000000000000000000000000−2i−2i2i2i000000000000000000000000−2i2i
χ3522-2-2-222-2-2-2222222222-2-2-2-2-2-2-2-2220000-2-222-2-222222-2-2-2-2-2-2-22222-200000000000000000000000000000000000000002i2i−2i−2i000000000000000000000000−2i2i
χ3622-2-2-222-2-2-2222222222-2-2-2-2-2-2-2-2220000-2-222-2-222222-2-2-2-2-2-2-22222-20000000000000000000000000000000000000000−2i−2i2i2i0000000000000000000000002i−2i
χ372-222-22-2-22-22-2222-2-2-2-222-2-222-2-22200002-22-22-22-22-2-222-222-2-222-2-2-200000000000000000000000000000000002i−2i002i−2i0000000000002i−2i00002i−2i0000000000
χ382-222-22-2-22-22-2222-2-2-2-222-2-222-2-22200002-22-22-22-22-2-222-222-2-222-2-2-20000000000000000000000000000000000−2i2i00−2i2i000000000000−2i2i0000−2i2i0000000000
χ392-222-22-2-22-22-2-12-111-2-222-2-2-1-1112-10000-11-112-22-2-111-1-11-1-111-1-11110000000033−3−333−3−33333−3−3−3−33333−3−3−3−3002i−2i002i−2i000000000000−ii−i3i3−i3i3−ii0000000000
χ402-222-22-2-22-22-2-12-111-2-222-2-2-1-1112-10000-11-112-22-2-111-1-11-1-111-1-11110000000033−3−333−3−33333−3−3−3−33333−3−3−3−300−2i2i00−2i2i000000000000i−ii3−i3i3−i3i−i0000000000
χ412-222-22-2-22-22-2-12-111-2-222-2-2-1-1112-10000-11-112-22-2-111-1-11-1-111-1-111100000000−3−333−3−333−3−3−3−33333−3−3−3−33333002i−2i002i−2i000000000000−iii3−i3i3−i3−ii0000000000
χ422-222-22-2-22-22-2-12-111-2-222-2-2-1-1112-10000-11-112-22-2-111-1-11-1-111-1-111100000000−3−333−3−333−3−3−3−33333−3−3−3−3333300−2i2i00−2i2i000000000000i−i−i3i3−i3i3i−i0000000000
χ432-222-22-2-2-22-22222-2-2-2-222-2-222-2-2220000-22-22-22-222-2-222-2-2-222-2-222-200000000000000000000000000000000002i−2i00−2i2i0000000000002i−2i0000−2i2i0000000000
χ442-222-22-2-2-22-22222-2-2-2-222-2-222-2-2220000-22-22-22-222-2-222-2-2-222-2-222-20000000000000000000000000000000000−2i2i002i−2i000000000000−2i2i00002i−2i0000000000
χ452-222-22-2-2-22-22-12-111-2-222-2-2-1-1112-100001-11-1-22-22-111-1-1111-1-111-1-110000000033−3−3−3−3333333−3−3−3−3−3−3−3−33333002i−2i00−2i2i000000000000−ii−i3i3i3−i3i−i0000000000
χ462-222-22-2-2-22-22-12-111-2-222-2-2-1-1112-100001-11-1-22-22-111-1-1111-1-111-1-110000000033−3−3−3−3333333−3−3−3−3−3−3−3−3333300−2i2i002i−2i000000000000i−ii3−i3−i3i3−ii0000000000
χ472-222-22-2-2-22-22-12-111-2-222-2-2-1-1112-100001-11-1-22-22-111-1-1111-1-111-1-1100000000−3−33333−3−3−3−3−3−333333333−3−3−3−3002i−2i00−2i2i000000000000−iii3−i3−i3i3i−i0000000000
χ482-222-22-2-2-22-22-12-111-2-222-2-2-1-1112-100001-11-1-22-22-111-1-1111-1-111-1-1100000000−3−33333−3−3−3−3−3−333333333−3−3−3−300−2i2i002i−2i000000000000i−i−i3i3i3−i3−ii0000000000
χ492-22-22-22-2000022-22-22-22-22-22-22-2-22002i−2i00000000-22-22-2200000000-200002i2i−2i−2i00002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i000000000000000000002-20000
χ502-22-22-22-2000022-22-22-22-22-22-22-2-22002i−2i00000000-22-22-2200000000-200002i2i−2i−2i00002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i00000000000000000000-220000
χ512-22-22-22-2000022-22-22-22-22-22-22-2-2200−2i2i00000000-22-22-2200000000-20000−2i−2i2i2i0000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i00000000000000000000-220000
χ522-22-22-22-2000022-22-22-22-22-22-22-2-2200−2i2i00000000-22-22-2200000000-20000−2i−2i2i2i0000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i000000000000000000002-20000
χ532-2-22-2-222000022-22-22-2-22-22-22-22-222-20000000000-22-2-22-200000000222-2-200002-22-2000022-2-222-2-200000000000000002-2-2200000000000000000000002-200
χ542-2-22-2-222000022-22-22-2-22-22-22-22-222-20000000000-22-2-22-200000000222-2-200002-22-2000022-2-222-2-20000000000000000-222-20000000000000000000000-2200
χ552-2-22-2-222000022-22-22-2-22-22-22-22-22-220000000000-22-2-22-2000000002-2-2220000-22-220000-2-222-2-22200000000000000002-2-220000000000000000000000-2200
χ562-2-22-2-222000022-22-22-2-22-22-22-22-22-220000000000-22-2-22-2000000002-2-2220000-22-220000-2-222-2-2220000000000000000-222-200000000000000000000002-200
χ572-2-2-222-222-2-22222-2-2-2-2-2-222-2-2222200002-2-222-2-222-2-2-2-2222-2-2-2-2222000000000000000000000000000000002-2002-200000000002-200000000002-200000000
χ582-2-2-222-222-2-22222-2-2-2-2-2-222-2-2222200002-2-222-2-222-2-2-2-2222-2-2-2-222200000000000000000000000000000000-2200-220000000000-220000000000-2200000000
χ592-2-2-222-222-2-222-12-2-21111-1-1-2-222-1-100002-2-22-111-1-11111-1-1-11111-1-1-1−i3i3−i3i3−i3i3−i3i300000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-2002-20000000000-11−i3i300000000-11−i3i3000000
χ602-2-2-222-222-2-222-12-2-21111-1-1-2-222-1-100002-2-22-111-1-11111-1-1-11111-1-1-1−i3i3−i3i3−i3i3−i3i300000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-2200-2200000000001-1i3−i3000000001-1i3−i3000000
χ612-2-2-222-222-2-222-12-2-21111-1-1-2-222-1-100002-2-22-111-1-11111-1-1-11111-1-1-1i3−i3i3−i3i3−i3i3−i300000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-2002-20000000000-11i3−i300000000-11i3−i3000000
χ622-2-2-222-222-2-222-12-2-21111-1-1-2-222-1-100002-2-22-111-1-11111-1-1-11111-1-1-1i3−i3i3−i3i3−i3i3−i300000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-2200-2200000000001-1−i3i3000000001-1−i3i3000000
χ632-2-2-222-22-222-2222-2-2-2-2-2-222-2-222220000-222-2-222-22-2-2-2-22-2-22222-2-22000000000000000000000000000000002-200-2200000000002-20000000000-2200000000
χ642-2-2-222-22-222-2222-2-2-2-2-2-222-2-222220000-222-2-222-22-2-2-2-22-2-22222-2-2200000000000000000000000000000000-22002-20000000000-2200000000002-200000000
χ652-2-2-222-22-222-22-12-2-21111-1-1-2-222-1-10000-222-21-1-11-11111-111-1-1-1-111-1−i3i3−i3i3i3−i3i3−i300000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i32-200-220000000000-11−i3i3000000001-1i3−i3000000
χ662-2-2-222-22-222-22-12-2-21111-1-1-2-222-1-10000-222-21-1-11-11111-111-1-1-1-111-1−i3i3−i3i3i3−i3i3−i300000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3-22002-200000000001-1i3−i300000000-11−i3i3000000
χ672-2-2-222-22-222-22-12-2-21111-1-1-2-222-1-10000-222-21-1-11-11111-111-1-1-1-111-1i3−i3i3−i3−i3i3−i3i300000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i32-200-220000000000-11i3−i3000000001-1−i3i3000000
χ682-2-2-222-22-222-22-12-2-21111-1-1-2-222-1-10000-222-21-1-11-11111-111-1-1-1-111-1i3−i3i3−i3−i3i3−i3i300000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3-22002-200000000001-1−i3i300000000-11i3−i3000000
χ69444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-2111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000000000
χ70444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-21111111111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
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χ1044-444-44-4-4-44-44-2-2-22222-2-222-2-222-2100002-22-22-22-21-1-111-1-1-111-1-111-100000000−23−2323232323−23−233333−3−3−3−3−3−3−3−3333300000000000000000000000000000000000000
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χ1114-44-44-44-40000-2-22-22-22-22-22-22-222100−4i4i00000000-11-11-113-3-333-3-33-100002i2i−2i−2i00002i−2i2i−2i3i−3i−3i3i−3i3i3i−3i−i−iii−i−iii00000000000000000000000000000000000000
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χ1174-4-44-4-4440000-2-22-22-222-22-22-22-2214-40000000000-11-1-11-13-3-33-333-31-2-2220000-22-22000011-1-111-1-1-333-33-3-3300000000000000000000000000000000000000
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χ1224-4-4-444-444-4-44-2-2-2222222-2-222-2-2-210000-222-2-222-21-1-1-1-1111-1-1-1-1111−2i32i3−2i32i3−2i32i3−2i32i300000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000
χ1234-4-4-444-444-4-44-2-2-2222222-2-222-2-2-210000-222-2-222-21-1-1-1-1111-1-1-1-11112i3−2i32i3−2i32i3−2i32i3−2i300000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000
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χ1254-4-4-444-44-444-4-2-2-2222222-2-222-2-2-2100002-2-222-2-221-1-1-1-11-1-11111-1-11−2i32i3−2i32i32i3−2i32i3−2i300000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000
χ1264-4-4-444-44-444-4-2-2-2222222-2-222-2-2-2100002-2-222-2-221-1-1-1-11-1-11111-1-112i3−2i32i3−2i3−2i32i3−2i32i300000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000

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