Finite Group Databasebeta

← Group #11808244

Character table — Group #11808244

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order12222222336666666666666644444444344444466666661212121212121212121212121212121212121212121212121212121212121212121212121212222222444444446666121212121212121266661212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-111-1-11111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ17222222222-122-1-1-122-1-122-12-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222200002222000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-122-1-1-122-1-122-12-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000-2-2-2-20000000000001111111100000000
χ19222222222-122-1-1-122-1-122-12-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-1111111110022-2-2000022-2-2000000000000-1-111-1-11100000000
χ20222222222-122-1-1-122-1-122-12-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-11111111100-2-2220000-2-22200000000000011-1-111-1-100000000
χ21222222222-122-1-1-122-1-122-12-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-111110022-2-20000-2-222000000000000-1-11111-1-100000000
χ22222222222-122-1-1-122-1-122-12-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-1111100-2-222000022-2-200000000000011-1-1-1-11100000000
χ23222222222-122-1-1-122-1-122-12-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-10022220000-2-2-2-2000000000000-1-1-1-1111100000000
χ24222222222-122-1-1-122-1-122-12-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-100-2-2-2-2000022220000000000001111-1-1-1-100000000
χ2522222222-12-1-1222-1-122-1-12-1222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1222-1-122-1-12-1222222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111-2-2000022-2-200001111-1-1-1-111110000000000000000
χ2722222222-12-1-1222-1-122-1-12-1222222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-20000-2-222000011111111-1-1-1-10000000000000000
χ2822222222-12-1-1222-1-122-1-12-1222222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1220000-2-2-2-20000-1-1-1-1111111110000000000000000
χ2922222222-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-200001111111111110000000000000000
χ3022222222-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111220000-2-2220000-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-222-2-21111-1-1-1-1111122000022-2-20000-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-22211111111-1-1-1-1-2-20000222200001111-1-1-1-1-1-1-1-10000000000000000
χ332222-2-2-2-2222-2-2-2-22222-2-22-2-22i2i2i2i−2i−2i−2i−2i20000002-2-2-222-20000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000002-20000000000000000002-200002i−2i0000
χ342222-2-2-2-2222-2-2-2-22222-2-22-2-22i2i2i2i−2i−2i−2i−2i20000002-2-2-222-20000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000-22000000000000000000-220000−2i2i0000
χ352222-2-2-2-2222-2-2-2-22222-2-22-2-2−2i−2i−2i−2i2i2i2i2i20000002-2-2-222-2000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002-20000000000000000002-20000−2i2i0000
χ362222-2-2-2-2222-2-2-2-22222-2-22-2-2−2i−2i−2i−2i2i2i2i2i20000002-2-2-222-2000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000-22000000000000000000-2200002i−2i0000
χ3722-2-22-22-222-2222-22-22-22-2-2-2-22i2i−2i−2i2i2i−2i−2i2002i−2i00-222-22-2-200002i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i002i−2i0000002i2i−2i−2i0000000000002-200000000000022-2-20000000000000000
χ3822-2-22-22-222-2222-22-22-22-2-2-2-22i2i−2i−2i2i2i−2i−2i200−2i2i00-222-22-2-20000−2i−2i2i2i00002i2i−2i−2i2i2i−2i−2i00−2i2i000000−2i−2i2i2i000000000000-22000000000000-2-2220000000000000000
χ3922-2-22-22-222-2222-22-22-22-2-2-2-2−2i−2i2i2i−2i−2i2i2i2002i−2i00-222-22-2-200002i2i−2i−2i0000−2i−2i2i2i−2i−2i2i2i002i−2i0000002i2i−2i−2i000000000000-22000000000000-2-2220000000000000000
χ4022-2-22-22-222-2222-22-22-22-2-2-2-2−2i−2i2i2i−2i−2i2i2i200−2i2i00-222-22-2-20000−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i00−2i2i000000−2i−2i2i2i0000000000002-200000000000022-2-20000000000000000
χ4122-2-22-22-2-121-122-2-112-2-11-21-22i2i−2i−2i2i2i−2i−2i-1002i−2i001-1-11-111−i3−i3i3i3−i−iii33−3−3−i−iii−i−iii002i−2i00−i3−i3i3i3−i−iii33−3−3000000002-20000−i3−i3i3i333−3−3-1-1110000000000000000
χ4222-2-22-22-2-121-122-2-112-2-11-21-22i2i−2i−2i2i2i−2i−2i-1002i−2i001-1-11-111i3i3−i3−i3−i−iii−3−333−i−iii−i−iii002i−2i00i3i3−i3−i3−i−iii−3−333000000002-20000i3i3−i3−i3−3−333-1-1110000000000000000
χ4322-2-22-22-2-121-122-2-112-2-11-21-22i2i−2i−2i2i2i−2i−2i-100−2i2i001-1-11-111−i3−i3i3i3ii−i−i−3−333−i−iii−i−iii00−2i2i00−i3−i3i3i3ii−i−i−3−33300000000-220000i3i3−i3−i333−3−311-1-10000000000000000
χ4422-2-22-22-2-121-122-2-112-2-11-21-22i2i−2i−2i2i2i−2i−2i-100−2i2i001-1-11-111i3i3−i3−i3ii−i−i33−3−3−i−iii−i−iii00−2i2i00i3i3−i3−i3ii−i−i33−3−300000000-220000−i3−i3i3i3−3−33311-1-10000000000000000
χ4522-2-22-22-2-121-122-2-112-2-11-21-2−2i−2i2i2i−2i−2i2i2i-1002i−2i001-1-11-111−i3−i3i3i3−i−iii33−3−3ii−i−iii−i−i002i−2i00−i3−i3i3i3−i−iii33−3−300000000-220000i3i3−i3−i3−3−33311-1-10000000000000000
χ4622-2-22-22-2-121-122-2-112-2-11-21-2−2i−2i2i2i−2i−2i2i2i-1002i−2i001-1-11-111i3i3−i3−i3−i−iii−3−333ii−i−iii−i−i002i−2i00i3i3−i3−i3−i−iii−3−33300000000-220000−i3−i3i3i333−3−311-1-10000000000000000
χ4722-2-22-22-2-121-122-2-112-2-11-21-2−2i−2i2i2i−2i−2i2i2i-100−2i2i001-1-11-111−i3−i3i3i3ii−i−i−3−333ii−i−iii−i−i00−2i2i00−i3−i3i3i3ii−i−i−3−333000000002-20000−i3−i3i3i3−3−333-1-1110000000000000000
χ4822-2-22-22-2-121-122-2-112-2-11-21-2−2i−2i2i2i−2i−2i2i2i-100−2i2i001-1-11-111i3i3−i3−i3ii−i−i33−3−3ii−i−iii−i−i00−2i2i00i3i3−i3−i3ii−i−i33−3−3000000002-20000i3i3−i3−i333−3−3-1-1110000000000000000
χ4922-2-2-22-2222-2-2-2-222-22-2-22-22222-2-2-2-2222000000-2-2-222-2200000000000022-2-2-2-22200000000000000000000002-200000000000000000000002-200000000002-2
χ5022-2-2-22-2222-2-2-2-222-22-2-22-22222-2-2-2-2222000000-2-2-222-2200000000000022-2-2-2-2220000000000000000000000-220000000000000000000000-220000000000-22
χ5122-2-2-22-2222-2-2-2-222-22-2-22-222-2-22222-2-22000000-2-2-222-22000000000000-2-22222-2-200000000000000000000002-200000000000000000000002-20000000000-22
χ5222-2-2-22-2222-2-2-2-222-22-2-22-222-2-22222-2-22000000-2-2-222-22000000000000-2-22222-2-20000000000000000000000-220000000000000000000000-2200000000002-2
χ532-22-22-2-2222-2-22-2-2-22-222-2-2222-22-22-22-22000000-22-2-2-2220000000000002-22-22-22-2000000000000000000002-200000000000000000000002-200000000002-200
χ542-22-22-2-2222-2-22-2-2-22-222-2-2222-22-22-22-22000000-22-2-2-2220000000000002-22-22-22-200000000000000000000-220000000000000000000000-220000000000-2200
χ552-22-22-2-2222-2-22-2-2-22-222-2-222-22-22-22-222000000-22-2-2-222000000000000-22-22-22-22000000000000000000002-200000000000000000000002-20000000000-2200
χ562-22-22-2-2222-2-22-2-2-22-222-2-222-22-22-22-222000000-22-2-2-222000000000000-22-22-22-2200000000000000000000-220000000000000000000000-2200000000002-200
χ572-22-2-222-222-22-222-22-22-22-2-2-22i−2i2i−2i−2i2i−2i2i22i−2i0000-2-222-22-22i−2i2i−2i000000002i−2i2i−2i−2i2i−2i2i2i−2i00002i−2i2i−2i000000000000002-200000000002-22-200000000000000000000
χ582-22-2-222-222-22-222-22-22-22-2-2-22i−2i2i−2i−2i2i−2i2i2−2i2i0000-2-222-22-2−2i2i−2i2i000000002i−2i2i−2i−2i2i−2i2i−2i2i0000−2i2i−2i2i00000000000000-220000000000-22-2200000000000000000000
χ592-22-2-222-222-22-222-22-22-22-2-2-2−2i2i−2i2i2i−2i2i−2i22i−2i0000-2-222-22-22i−2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i2i−2i00002i−2i2i−2i00000000000000-220000000000-22-2200000000000000000000
χ602-22-2-222-222-22-222-22-22-22-2-2-2−2i2i−2i2i2i−2i2i−2i2−2i2i0000-2-222-22-2−2i2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i−2i2i0000−2i2i−2i2i000000000000002-200000000002-22-200000000000000000000
χ612-22-2-222-2-121-1-2221-1-221-1-21-22i−2i2i−2i−2i2i−2i2i-12i−2i000011-1-11-11−ii−ii−i3i3−i3i33−33−3−ii−iii−ii−i2i−2i0000−ii−ii−i3i3−i3i33−33−30000002-2000000−i3i3−i3i3-11-113−33−30000000000000000
χ622-22-2-222-2-121-1-2221-1-221-1-21-22i−2i2i−2i−2i2i−2i2i-12i−2i000011-1-11-11−ii−iii3−i3i3−i3−33−33−ii−iii−ii−i2i−2i0000−ii−iii3−i3i3−i3−33−330000002-2000000i3−i3i3−i3-11-11−33−330000000000000000
χ632-22-2-222-2-121-1-2221-1-221-1-21-22i−2i2i−2i−2i2i−2i2i-1−2i2i000011-1-11-11i−ii−i−i3i3−i3i3−33−33−ii−iii−ii−i−2i2i0000i−ii−i−i3i3−i3i3−33−33000000-22000000i3−i3i3−i31-11-13−33−30000000000000000
χ642-22-2-222-2-121-1-2221-1-221-1-21-22i−2i2i−2i−2i2i−2i2i-1−2i2i000011-1-11-11i−ii−ii3−i3i3−i33−33−3−ii−iii−ii−i−2i2i0000i−ii−ii3−i3i3−i33−33−3000000-22000000−i3i3−i3i31-11-1−33−330000000000000000
χ652-22-2-222-2-121-1-2221-1-221-1-21-2−2i2i−2i2i2i−2i2i−2i-12i−2i000011-1-11-11−ii−ii−i3i3−i3i33−33−3i−ii−i−ii−ii2i−2i0000−ii−ii−i3i3−i3i33−33−3000000-22000000i3−i3i3−i31-11-1−33−330000000000000000
χ662-22-2-222-2-121-1-2221-1-221-1-21-2−2i2i−2i2i2i−2i2i−2i-12i−2i000011-1-11-11−ii−iii3−i3i3−i3−33−33i−ii−i−ii−ii2i−2i0000−ii−iii3−i3i3−i3−33−33000000-22000000−i3i3−i3i31-11-13−33−30000000000000000
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χ802-2-22-2-222-12-1-1-22-211-2-2112-122-2-22-222-2-10000-22-11-1111-1−333−3−333−31-1-11-111-11-1-110000-22−333−3−333−31-1-11-220000000000001-1-113−3−333−3−330000000000000000
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χ822-2-22-2-222-12-1-1-22-211-2-2112-12-222-22-2-22-100002-2-11-1111-1−333−33−3−33-111-11-1-11-111-100002-2−333−33−3−33-111-1-220000000000001-1-11−333−33−3−330000000000000000
χ832-2-22-2-222-12-1-1-22-211-2-2112-12-222-22-2-22-10000-22-11-1111-13−3−333−3−331-1-111-1-11-111-10000-223−3−333−3−331-1-112-2000000000000-111-13−3−333−3−330000000000000000
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χ1114-44-4-444-4-2-22-22-2-22-22-22-2222000000001−4i4i0000-1-111-11-12i−2i2i−2i−2i32i3−2i32i3−2323−2323000000002i−2i0000−ii−iii3−i3i3−i33−33−3000000000000000000000000000000000000000000
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χ1164-4-4444-4-4-24-224-4422-4-4-2-242-4−4i4i4i−4i−4i4i4i−4i-2000000-2-22-22220000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
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χ1204-4-44-4-444-2-2-2-22-22222222-2-2-200000000100004-41-11-1-1-11−232323−2323−23−2323-222-2000000000000-223−3−33−333−31-1-11000000000000000000000000000000000000000000
χ1214-4-44-4-444-2-2-2-22-22222222-2-2-20000000010000-441-11-1-1-1123−23−232323−23−23232-2-220000000000002-2−333−3−333−3-111-1000000000000000000000000000000000000000000
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χ1268-8-8888-8-8-4-4-44-44-44444-4-4-44400000000200000022-22-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000

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