Finite Group Databasebeta

← Group #11808818

Character table — Group #11808818

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order122222223366666666666666444444443444444666666612121212121212121212121212121212121212121212121212121212121212121212121212122222444444444412121212121212121212121266661212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ17222222222-1-1-1-1222-1-12222-1-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000220022000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-1-1-1-1222-1-12222-1-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-200-2-20000000000001111111100000000
χ19222222222-1-1-1-1222-1-12222-1-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-11111111122-2-200002200-2-2000000000000-1-11111-1-100000000
χ20222222222-1-1-1-1222-1-12222-1-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-111111111-2-2220000-2-2002200000000000011-1-1-1-11100000000
χ21222222222-1-1-1-1222-1-12222-1-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-1111122-2-20000-2-20022000000000000-1-111-1-11100000000
χ22222222222-1-1-1-1222-1-12222-1-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-11111-2-22200002200-2-200000000000011-1-111-1-100000000
χ23222222222-1-1-1-1222-1-12222-1-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-122220000-2-200-2-2000000000000-1-1-1-1111100000000
χ24222222222-1-1-1-1222-1-12222-1-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-1-2-2-2-200002200220000000000001111-1-1-1-100000000
χ2522222222-12222-1-1-122-1-1-1-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12222-1-1-122-1-1-1-12222222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000022-2-200-2-200-1-1-1-1111111110000000000000000
χ2722222222-12222-1-1-122-1-1-1-12222222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000-2-22200-2-2001111-1-1-1-111110000000000000000
χ2822222222-12222-1-1-122-1-1-1-12222222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000-2-2-2-200220011111111-1-1-1-10000000000000000
χ2922222222-12222-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-2001111111111110000000000000000
χ3022222222-12222-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1111111110000-2-2220022001111-1-1-1-1-1-1-1-10000000000000000
χ3122222222-12222-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-222-2-21111-1-1-1-11111000022-2-2002200-1-1-1-11111-1-1-1-10000000000000000
χ3222222222-12222-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-22211111111-1-1-1-10000222200-2-200-1-1-1-1-1-1-1-111110000000000000000
χ33222-2-2-22-222-2-2-222-2222-2-2-22-22i2i2i2i−2i−2i−2i−2i20000002-2-2-222-20000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000002-200000000000000002-2002i−2i000000
χ34222-2-2-22-222-2-2-222-2222-2-2-22-22i2i2i2i−2i−2i−2i−2i20000002-2-2-222-20000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000-220000000000000000-2200−2i2i000000
χ35222-2-2-22-222-2-2-222-2222-2-2-22-2−2i−2i−2i−2i2i2i2i2i20000002-2-2-222-2000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000002-200000000000000002-200−2i2i000000
χ36222-2-2-22-222-2-2-222-2222-2-2-22-2−2i−2i−2i−2i2i2i2i2i20000002-2-2-222-2000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000-220000000000000000-22002i−2i000000
χ3722-22-22-2-2222-2-22-222-2-22-2-2-222i2i−2i−2i2i2i−2i−2i2000000-22-2-22-220000000000002i2i−2i−2i2i2i−2i−2i0000000000000000002-20000000000000000000000002-200000000002i−2i00
χ3822-22-22-2-2222-2-22-222-2-22-2-2-222i2i−2i−2i2i2i−2i−2i2000000-22-2-22-220000000000002i2i−2i−2i2i2i−2i−2i000000000000000000-22000000000000000000000000-220000000000−2i2i00
χ3922-22-22-2-2222-2-22-222-2-22-2-2-22−2i−2i2i2i−2i−2i2i2i2000000-22-2-22-22000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000002-20000000000000000000000002-20000000000−2i2i00
χ4022-22-22-2-2222-2-22-222-2-22-2-2-22−2i−2i2i2i−2i−2i2i2i2000000-22-2-22-22000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000-22000000000000000000000000-2200000000002i−2i00
χ4122-2-22-2-2222-2222-2-22-2-2-222-2-222-2-2-2-2222002i−2i00-2-2222-2-200002i2i−2i−2i000022-2-2-2-222002i−2i0000002i2i−2i−2i00000000002i−2i00000000002i2i−2i−2i00000000000000000000
χ4222-2-22-2-2222-2222-2-22-2-2-222-2-222-2-2-2-222200−2i2i00-2-2222-2-20000−2i−2i2i2i000022-2-2-2-22200−2i2i000000−2i−2i2i2i0000000000−2i2i0000000000−2i−2i2i2i00000000000000000000
χ4322-2-22-2-2222-2222-2-22-2-2-222-2-2-2-22222-2-22002i−2i00-2-2222-2-200002i2i−2i−2i0000-2-22222-2-2002i−2i0000002i2i−2i−2i0000000000−2i2i0000000000−2i−2i2i2i00000000000000000000
χ4422-2-22-2-2222-2222-2-22-2-2-222-2-2-2-22222-2-2200−2i2i00-2-2222-2-20000−2i−2i2i2i0000-2-22222-2-200−2i2i000000−2i−2i2i2i00000000002i−2i00000000002i2i−2i−2i00000000000000000000
χ4522-2-22-2-22-12-222-1112-211-1-1-2-222-2-2-2-222-1002i−2i0011-1-1-111−i3−i3i3i3−i−iii33−3−3-1-11111-1-1002i−2i00−i3−i3i3i3−i−iii33−3−30000002i−2i000000−i3−i3i3i3−i−iii33−3−30000000000000000
χ4622-2-22-2-22-12-222-1112-211-1-1-2-222-2-2-2-222-1002i−2i0011-1-1-111i3i3−i3−i3−i−iii−3−333-1-11111-1-1002i−2i00i3i3−i3−i3−i−iii−3−3330000002i−2i000000i3i3−i3−i3−i−iii−3−3330000000000000000
χ4722-2-22-2-22-12-222-1112-211-1-1-2-222-2-2-2-222-100−2i2i0011-1-1-111−i3−i3i3i3ii−i−i−3−333-1-11111-1-100−2i2i00−i3−i3i3i3ii−i−i−3−333000000−2i2i000000−i3−i3i3i3ii−i−i−3−3330000000000000000
χ4822-2-22-2-22-12-222-1112-211-1-1-2-222-2-2-2-222-100−2i2i0011-1-1-111i3i3−i3−i3ii−i−i33−3−3-1-11111-1-100−2i2i00i3i3−i3−i3ii−i−i33−3−3000000−2i2i000000i3i3−i3−i3ii−i−i33−3−30000000000000000
χ4922-2-22-2-22-12-222-1112-211-1-1-2-2-2-22222-2-2-1002i−2i0011-1-1-111−i3−i3i3i3−i−iii33−3−311-1-1-1-111002i−2i00−i3−i3i3i3−i−iii33−3−3000000−2i2i000000i3i3−i3−i3ii−i−i−3−3330000000000000000
χ5022-2-22-2-22-12-222-1112-211-1-1-2-2-2-22222-2-2-1002i−2i0011-1-1-111i3i3−i3−i3−i−iii−3−33311-1-1-1-111002i−2i00i3i3−i3−i3−i−iii−3−333000000−2i2i000000−i3−i3i3i3ii−i−i33−3−30000000000000000
χ5122-2-22-2-22-12-222-1112-211-1-1-2-2-2-22222-2-2-100−2i2i0011-1-1-111−i3−i3i3i3ii−i−i−3−33311-1-1-1-11100−2i2i00−i3−i3i3i3ii−i−i−3−3330000002i−2i000000i3i3−i3−i3−i−iii33−3−30000000000000000
χ5222-2-22-2-22-12-222-1112-211-1-1-2-2-2-22222-2-2-100−2i2i0011-1-1-111i3i3−i3−i3ii−i−i33−3−311-1-1-1-11100−2i2i00i3i3−i3−i3ii−i−i33−3−30000002i−2i000000−i3−i3i3i3−i−iii−3−3330000000000000000
χ532-222-2-2-222222-2-22-2-22-222-2-2-22-22-22-22-222i−2i0000-222-2-22-22i−2i2i−2i000000002-22-22-22-22i−2i00002i−2i2i−2i0000000000002i−2i000000002i−2i2i−2i000000000000000000000000
χ542-222-2-2-222222-2-22-2-22-222-2-2-22-22-22-22-22−2i2i0000-222-2-22-2−2i2i−2i2i000000002-22-22-22-2−2i2i0000−2i2i−2i2i000000000000−2i2i00000000−2i2i−2i2i000000000000000000000000
χ552-222-2-2-222222-2-22-2-22-222-2-2-2-22-22-22-2222i−2i0000-222-2-22-22i−2i2i−2i00000000-22-22-22-222i−2i00002i−2i2i−2i000000000000−2i2i00000000−2i2i−2i2i000000000000000000000000
χ562-222-2-2-222222-2-22-2-22-222-2-2-2-22-22-22-222−2i2i0000-222-2-22-2−2i2i−2i2i00000000-22-22-22-22−2i2i0000−2i2i−2i2i0000000000002i−2i000000002i−2i2i−2i000000000000000000000000
χ572-222-2-2-22-1222-21-11-221-1-11-2-22-22-22-22-2-12i−2i00001-1-111-11−ii−ii−i3i3−i3i33−33−3-11-11-11-112i−2i0000−ii−ii−i3i3−i3i33−33−300002i−2i00000000−ii−ii−i3i3−i3i33−33−30000000000000000
χ582-222-2-2-22-1222-21-11-221-1-11-2-22-22-22-22-2-12i−2i00001-1-111-11−ii−iii3−i3i3−i3−33−33-11-11-11-112i−2i0000−ii−iii3−i3i3−i3−33−3300002i−2i00000000−ii−iii3−i3i3−i3−33−330000000000000000
χ592-222-2-2-22-1222-21-11-221-1-11-2-22-22-22-22-2-1−2i2i00001-1-111-11i−ii−i−i3i3−i3i3−33−33-11-11-11-11−2i2i0000i−ii−i−i3i3−i3i3−33−330000−2i2i00000000i−ii−i−i3i3−i3i3−33−330000000000000000
χ602-222-2-2-22-1222-21-11-221-1-11-2-22-22-22-22-2-1−2i2i00001-1-111-11i−ii−ii3−i3i3−i33−33−3-11-11-11-11−2i2i0000i−ii−ii3−i3i3−i33−33−30000−2i2i00000000i−ii−ii3−i3i3−i33−33−30000000000000000
χ612-222-2-2-22-1222-21-11-221-1-11-2-2-22-22-22-22-12i−2i00001-1-111-11−ii−ii−i3i3−i3i33−33−31-11-11-11-12i−2i0000−ii−ii−i3i3−i3i33−33−30000−2i2i00000000i−ii−ii3−i3i3−i3−33−330000000000000000
χ622-222-2-2-22-1222-21-11-221-1-11-2-2-22-22-22-22-12i−2i00001-1-111-11−ii−iii3−i3i3−i3−33−331-11-11-11-12i−2i0000−ii−iii3−i3i3−i3−33−330000−2i2i00000000i−ii−i−i3i3−i3i33−33−30000000000000000
χ632-222-2-2-22-1222-21-11-221-1-11-2-2-22-22-22-22-1−2i2i00001-1-111-11i−ii−i−i3i3−i3i3−33−331-11-11-11-1−2i2i0000i−ii−i−i3i3−i3i3−33−3300002i−2i00000000−ii−iii3−i3i3−i33−33−30000000000000000
χ642-222-2-2-22-1222-21-11-221-1-11-2-2-22-22-22-22-1−2i2i00001-1-111-11i−ii−ii3−i3i3−i33−33−31-11-11-11-1−2i2i0000i−ii−ii3−i3i3−i33−33−300002i−2i00000000−ii−ii−i3i3−i3i3−33−330000000000000000
χ652-22-222-2-222-2-22-222-22-2-2-22-222i−2i2i−2i−2i2i−2i2i2000000-2-2-22-2220000000000002i−2i2i−2i−2i2i−2i2i000000000000000000002-20000000000000000000000002-200000000002i−2i
χ662-22-222-2-222-2-22-222-22-2-2-22-222i−2i2i−2i−2i2i−2i2i2000000-2-2-22-2220000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000-22000000000000000000000000-220000000000−2i2i
χ672-22-222-2-222-2-22-222-22-2-2-22-22−2i2i−2i2i2i−2i2i−2i2000000-2-2-22-222000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000002-20000000000000000000000002-20000000000−2i2i
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χ842-2-2-2-2222-12-22-211-1-2-2-11-1122-222-22-2-22-10000-22-11-1111-1−333−3−333−31-1-111-1-11-111-10000-22−333−3−333−31-1-1100000000002-2003−3−333−3−33-111-10000000000000000
χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000014444441111111-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
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χ1064-444-4-4-44-2-2-2-222-222-22-2-22220000000014i−4i0000-111-1-11-1−2i2i−2i2i2i3−2i32i3−2i3−2323−232300000000−2i2i0000i−ii−i−i3i3−i3i33−33−3000000000000000000000000000000000000000000
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χ1084-444-4-4-44-2-2-2-222-222-22-2-2222000000001−4i4i0000-111-1-11-12i−2i2i−2i2i3−2i32i3−2i323−2323−23000000002i−2i0000−ii−ii−i3i3−i3i3−33−33000000000000000000000000000000000000000000
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χ1124-44-444-4-4-24-4-442-2-2-44222-2-44−4i4i−4i4i4i−4i4i−4i-2000000222-22-2-20000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
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χ1164-4-444-44-4-244-44222-4-4-2-22-24-4−4i4i4i−4i−4i4i4i−4i-2000000-2-22-22220000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
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χ1204-4-4-4-4444-2-22-2222-222-22-22-2-200000000100004-41-11-1-1-11−232323−2323−23−2323-222-2000000000000-223−3−33−333−31-1-11000000000000000000000000000000000000000000
χ1214-4-4-4-4444-2-22-2222-222-22-22-2-20000000010000-441-11-1-1-1123−23−232323−23−23232-2-220000000000002-2−333−3−333−3-111-1000000000000000000000000000000000000000000
χ1224-4-4-4-4444-2-22-2222-222-22-22-2-20000000010000-441-11-1-1-11−232323−23−232323−232-2-220000000000002-23−3−333−3−33-111-1000000000000000000000000000000000000000000
χ123888-8-8-88-8-4-4444-4-44-4-4-4444-440000000020000002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-88-88-8-8-4-4-444-44-4-444-4444-4000000002000000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-888-8-8-4-444-44-4-44-4444-44-4000000002000000-2-2-22-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-888-88-8-4-4-44-444444-4-44-4-4400000000200000022-22-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000

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