Finite Group Databasebeta

← Group #11808687

Character table — Group #11808687

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order12222222336666666666666644444444344444466666661212121212121212121212121212121212121212121212121212121212121212121212121212224444444444441212121212121212121212126612121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ5111111111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ6111111111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ17222222222-12222-1-1-1-1-12-12-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200002200000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-12222-1-1-1-1-12-12-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000-2-2000000000000001111111100000000
χ19222222222-12222-1-1-1-1-12-12-1200000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-1-1-1-1-1111111112222-2-20000-2-200000000000000-1-111-1-11100000000
χ20222222222-12222-1-1-1-1-12-12-1200000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-1-1-1-1-111111111-2-2-2-2220000220000000000000011-1-111-1-100000000
χ21222222222-12222-1-1-1-1-12-12-1200000000-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-111111111-1-1-1-1111122-2-2220000-2-200000000000000-1-11111-1-100000000
χ22222222222-12222-1-1-1-1-12-12-1200000000-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-111111111-1-1-1-11111-2-222-2-20000220000000000000011-1-1-1-11100000000
χ23222222222-12222-1-1-1-1-12-12-1200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-11111111111-1-1-1-122-2-2-2-200002200000000000000-1-1-1-1111100000000
χ24222222222-12222-1-1-1-1-12-12-1200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-11111111111-1-1-1-1-2-222220000-2-2000000000000001111-1-1-1-100000000
χ2522222222-12-1-1-1-122222-12-12-122222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000022220022-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-122222-12-12-122222222-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111111111000000-2-2-2-20022-1-1-1-1111111110000000000000000
χ2722222222-12-1-1-1-122222-12-12-122222222-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-1111100000022-2-200-2-21111-1-1-1-111110000000000000000
χ2822222222-12-1-1-1-122222-12-12-122222222-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1000000-2-22200-2-211111111-1-1-1-10000000000000000
χ2922222222-12-1-1-1-122222-12-12-1-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200-2-21111111111110000000000000000
χ3022222222-12-1-1-1-122222-12-12-1-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-222-1-1-1-111111111000000222200-2-21111-1-1-1-1-1-1-1-10000000000000000
χ3122222222-12-1-1-1-122222-12-12-1-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-21111-1-1-1-11111000000-2-2220022-1-1-1-11111-1-1-1-10000000000000000
χ3222222222-12-1-1-1-122222-12-12-1-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-222-2-211111111-1-1-1-100000022-2-20022-1-1-1-1-1-1-1-111110000000000000000
χ33222-2-22-2-22222-2-2222-2-22-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-20000000000000000002-20000000000000000000000002-20000002-2000000
χ34222-2-22-2-22222-2-2222-2-22-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-2000000000000000000-22000000000000000000000000-22000000-22000000
χ35222-2-22-2-22222-2-2222-2-22-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-222220000000000000000002-20000000000000000000000002-2000000-22000000
χ36222-2-22-2-22222-2-2222-2-22-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-22222000000000000000000-22000000000000000000000000-220000002-2000000
χ3722-222-2-2-2222-22-22-2-2-2-2-22-2222i2i−2i−2i2i2i−2i−2i22-200002-2-22-22-20000000022-2-22i2i−2i−2i2i2i−2i−2i00002-222-2-2000000000000000000002i−2i2i2i−2i−2i000000000000000000000000
χ3822-222-2-2-2222-22-22-2-2-2-2-22-2222i2i−2i−2i2i2i−2i−2i2-2200002-2-22-22-200000000-2-2222i2i−2i−2i2i2i−2i−2i0000-22-2-22200000000000000000000−2i2i−2i−2i2i2i000000000000000000000000
χ3922-222-2-2-2222-22-22-2-2-2-2-22-222−2i−2i2i2i−2i−2i2i2i22-200002-2-22-22-20000000022-2-2−2i−2i2i2i−2i−2i2i2i00002-222-2-200000000000000000000−2i2i−2i−2i2i2i000000000000000000000000
χ4022-222-2-2-2222-22-22-2-2-2-2-22-222−2i−2i2i2i−2i−2i2i2i2-2200002-2-22-22-200000000-2-222−2i−2i2i2i−2i−2i2i2i0000-22-2-222000000000000000000002i−2i2i2i−2i−2i000000000000000000000000
χ4122-222-2-2-2-12-11-112-2-2-2-21212-12i2i−2i−2i2i2i−2i−2i-12-20000-111-11-1133−3−333−3−3-1-111−i−iii−i−iii00002-2-1-11133−3−333−3−30000000000002i−2i−i−iii−i3−i3i3i3−i3−i3i3i30000000000000000
χ4222-222-2-2-2-12-11-112-2-2-2-21212-12i2i−2i−2i2i2i−2i−2i-12-20000-111-11-11−3−333−3−333-1-111−i−iii−i−iii00002-2-1-111−3−333−3−3330000000000002i−2i−i−iiii3i3−i3−i3i3i3−i3−i30000000000000000
χ4322-222-2-2-2-12-11-112-2-2-2-21212-12i2i−2i−2i2i2i−2i−2i-1-220000-111-11-1133−3−3−3−33311-1-1−i−iii−i−iii0000-2211-1-133−3−3−3−333000000000000−2i2iii−i−i−i3−i3i3i3i3i3−i3−i30000000000000000
χ4422-222-2-2-2-12-11-112-2-2-2-21212-12i2i−2i−2i2i2i−2i−2i-1-220000-111-11-11−3−33333−3−311-1-1−i−iii−i−iii0000-2211-1-1−3−33333−3−3000000000000−2i2iii−i−ii3i3−i3−i3−i3−i3i3i30000000000000000
χ4522-222-2-2-2-12-11-112-2-2-2-21212-1−2i−2i2i2i−2i−2i2i2i-12-20000-111-11-1133−3−333−3−3-1-111ii−i−iii−i−i00002-2-1-11133−3−333−3−3000000000000−2i2iii−i−ii3i3−i3−i3i3i3−i3−i30000000000000000
χ4622-222-2-2-2-12-11-112-2-2-2-21212-1−2i−2i2i2i−2i−2i2i2i-12-20000-111-11-11−3−333−3−333-1-111ii−i−iii−i−i00002-2-1-111−3−333−3−333000000000000−2i2iii−i−i−i3−i3i3i3−i3−i3i3i30000000000000000
χ4722-222-2-2-2-12-11-112-2-2-2-21212-1−2i−2i2i2i−2i−2i2i2i-1-220000-111-11-1133−3−3−3−33311-1-1ii−i−iii−i−i0000-2211-1-133−3−3−3−3330000000000002i−2i−i−iiii3i3−i3−i3−i3−i3i3i30000000000000000
χ4822-222-2-2-2-12-11-112-2-2-2-21212-1−2i−2i2i2i−2i−2i2i2i-1-220000-111-11-11−3−33333−3−311-1-1ii−i−iii−i−i0000-2211-1-1−3−33333−3−30000000000002i−2i−i−iii−i3−i3i3i3i3i3−i3−i30000000000000000
χ4922-2-2-2-222222-2-222-2-222-2-22-2-22i2i−2i−2i−2i−2i2i2i20000002-2-2-22-220000000000002i2i−2i−2i−2i−2i2i2i000000000000000000002i−2i000000000000000000000000002i−2i0000002-200
χ5022-2-2-2-222222-2-222-2-222-2-22-2-22i2i−2i−2i−2i−2i2i2i20000002-2-2-22-220000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000−2i2i00000000000000000000000000−2i2i000000-2200
χ5122-2-2-2-222222-2-222-2-222-2-22-2-2−2i−2i2i2i2i2i−2i−2i20000002-2-2-22-22000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000002i−2i000000000000000000000000002i−2i000000-2200
χ5222-2-2-2-222222-2-222-2-222-2-22-2-2−2i−2i2i2i2i2i−2i−2i20000002-2-2-22-22000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000−2i2i00000000000000000000000000−2i2i0000002-200
χ532-222-2-22-222-222-2-22-2-22-2-222-22i−2i2i−2i2i−2i2i−2i2000000-22-22-2-220000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000002-2000000000000000000000000002-20000002i−2i
χ542-222-2-22-222-222-2-22-2-22-2-222-22i−2i2i−2i2i−2i2i−2i2000000-22-22-2-220000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000-2200000000000000000000000000-22000000−2i2i
χ552-222-2-22-222-222-2-22-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i2000000-22-22-2-22000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000002-2000000000000000000000000002-2000000−2i2i
χ562-222-2-22-222-222-2-22-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i2000000-22-22-2-22000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000-2200000000000000000000000000-220000002i−2i
χ572-22-22-2-2222-22-22-22-22-2-22-2-222i−2i2i−2i−2i2i−2i2i2002i−2i00-22-2-222-22i−2i2i−2i000000002i−2i2i−2i−2i2i−2i2i2i−2i000000002i−2i2i−2i00000000002-200000000002-22-200000000000000000000
χ582-22-22-2-2222-22-22-22-22-2-22-2-222i−2i2i−2i−2i2i−2i2i200−2i2i00-22-2-222-2−2i2i−2i2i000000002i−2i2i−2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i0000000000-220000000000-22-2200000000000000000000
χ592-22-22-2-2222-22-22-22-22-2-22-2-22−2i2i−2i2i2i−2i2i−2i2002i−2i00-22-2-222-22i−2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i2i−2i000000002i−2i2i−2i0000000000-220000000000-22-2200000000000000000000
χ602-22-22-2-2222-22-22-22-22-2-22-2-22−2i2i−2i2i2i−2i2i−2i200−2i2i00-22-2-222-2−2i2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i−2i2i00000000−2i2i−2i2i00000000002-200000000002-22-200000000000000000000
χ612-22-22-2-22-121-11-1-22-22-2121-2-12i−2i2i−2i−2i2i−2i2i-1002i−2i001-111-1-11−ii−ii3−33−3−i3i3−i3i3−ii−iii−ii−i2i−2i0000−i3i3−i3i3−ii−ii3−33−30000002-20000003−33−3-11-11−i3i3−i3i30000000000000000
χ622-22-22-2-22-121-11-1-22-22-2121-2-12i−2i2i−2i−2i2i−2i2i-1002i−2i001-111-1-11−ii−ii−33−33i3−i3i3−i3−ii−iii−ii−i2i−2i0000i3−i3i3−i3−ii−ii−33−330000002-2000000−33−33-11-11i3−i3i3−i30000000000000000
χ632-22-22-2-22-121-11-1-22-22-2121-2-12i−2i2i−2i−2i2i−2i2i-100−2i2i001-111-1-11i−ii−i3−33−3i3−i3i3−i3−ii−iii−ii−i−2i2i0000i3−i3i3−i3i−ii−i3−33−3000000-22000000−33−331-11-1−i3i3−i3i30000000000000000
χ642-22-22-2-22-121-11-1-22-22-2121-2-12i−2i2i−2i−2i2i−2i2i-100−2i2i001-111-1-11i−ii−i−33−33−i3i3−i3i3−ii−iii−ii−i−2i2i0000−i3i3−i3i3i−ii−i−33−33000000-220000003−33−31-11-1i3−i3i3−i30000000000000000
χ652-22-22-2-22-121-11-1-22-22-2121-2-1−2i2i−2i2i2i−2i2i−2i-1002i−2i001-111-1-11−ii−ii3−33−3−i3i3−i3i3i−ii−i−ii−ii2i−2i0000−i3i3−i3i3−ii−ii3−33−3000000-22000000−33−331-11-1i3−i3i3−i30000000000000000
χ662-22-22-2-22-121-11-1-22-22-2121-2-1−2i2i−2i2i2i−2i2i−2i-1002i−2i001-111-1-11−ii−ii−33−33i3−i3i3−i3i−ii−i−ii−ii2i−2i0000i3−i3i3−i3−ii−ii−33−33000000-220000003−33−31-11-1−i3i3−i3i30000000000000000
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Here i is the imaginary unit (i² = −1).