Finite Group Databasebeta

← Group #11790085

Character table — Group #11790085

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11111111448888888888888888999999993636363636363636363636363636363636363636363636363636
order122244448836661212121224242424242424242222444444444444444488888888888888
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ511111111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ811111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ91111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-111-1-111-1-1i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-111i−iii−i−i−i−iii−i−iii
χ111111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-11111-1-1-1-111i−i−i−iiiii−i−i−i−iii
χ121111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-111-1-11111-1-1i−i−i−iii−i−iiiii−i−i
χ131111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-111-1-111-1-1−ii−i−iii−i−iii−i−iii
χ141111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-111−ii−i−iiiii−i−iii−i−i
χ151111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-11111-1-1-1-111−iiii−i−i−i−iiiii−i−i
χ161111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-111-1-11111-1-1−iiii−i−iii−i−i−i−iii
χ1722222222222222222222222222-2-2-2-2-2-2-2-2000000000000-2-2000000000000
χ1822222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022000000000000
χ192222-2-2-2-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-2-2-22222000000000000−2i2i000000000000
χ202222-2-2-2-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-222220000000000002i−2i000000000000
χ2122-2-22i−2i2i−2i0022-2-22i−2i2i−2i000000002-22-22i−2i2i−2i00000000000000000000002ζ3−2ζ32ζ−2ζ
χ2222-2-22i−2i2i−2i0022-2-22i−2i2i−2i000000002-22-22i−2i2i−2i0000000000000000000000−2ζ32ζ3−2ζ2ζ
χ2322-2-22i−2i2i−2i0022-2-22i−2i2i−2i00000000-22-22−2i2i−2i2i000000002-22i−2i00000000000000
χ2422-2-22i−2i2i−2i0022-2-22i−2i2i−2i00000000-22-22−2i2i−2i2i00000000-22−2i2i00000000000000
χ2522-2-2−2i2i−2i2i0022-2-2−2i2i−2i2i000000002-22-2−2i2i−2i2i00000000000000000000002ζ−2ζ2ζ3−2ζ3
χ2622-2-2−2i2i−2i2i0022-2-2−2i2i−2i2i000000002-22-2−2i2i−2i2i0000000000000000000000−2ζ2ζ−2ζ32ζ3
χ2722-2-2−2i2i−2i2i0022-2-2−2i2i−2i2i00000000-22-222i−2i2i−2i000000002-2−2i2i00000000000000
χ2822-2-2−2i2i−2i2i0022-2-2−2i2i−2i2i00000000-22-222i−2i2i−2i00000000-222i−2i00000000000000
χ292-22-22i−2i−2i2i002-22-22i−2i−2i2i000000002-2-222i−2i−2i2i0000000000000000002ζ−2ζ2ζ3−2ζ30000
χ302-22-22i−2i−2i2i002-22-22i−2i−2i2i000000002-2-222i−2i−2i2i000000000000000000−2ζ2ζ−2ζ32ζ30000
χ312-22-22i−2i−2i2i002-22-22i−2i−2i2i00000000-222-2−2i2i2i−2i00002-22i−2i000000000000000000
χ322-22-22i−2i−2i2i002-22-22i−2i−2i2i00000000-222-2−2i2i2i−2i0000-22−2i2i000000000000000000
χ332-22-2−2i2i2i−2i002-22-2−2i2i2i−2i000000002-2-22−2i2i2i−2i0000000000000000002ζ3−2ζ32ζ−2ζ0000
χ342-22-2−2i2i2i−2i002-22-2−2i2i2i−2i000000002-2-22−2i2i2i−2i000000000000000000−2ζ32ζ3−2ζ2ζ0000
χ352-22-2−2i2i2i−2i002-22-2−2i2i2i−2i00000000-222-22i−2i−2i2i00002-2−2i2i000000000000000000
χ362-22-2−2i2i2i−2i002-22-2−2i2i2i−2i00000000-222-22i−2i−2i2i0000-222i−2i000000000000000000
χ372-2-2222-2-2002-2-2222-2-20000000022-2-222-2-22-22-20000000000000000000000
χ382-2-2222-2-2002-2-2222-2-20000000022-2-222-2-2-22-220000000000000000000000
χ392-2-2222-2-2002-2-2222-2-200000000-2-222-2-222000000000000002-22-200000000
χ402-2-2222-2-2002-2-2222-2-200000000-2-222-2-22200000000000000-22-2200000000
χ412-2-22-2-222002-2-22-2-2220000000022-2-2-2-2222-2-220000000000000000000000
χ422-2-22-2-222002-2-22-2-2220000000022-2-2-2-222-222-20000000000000000000000
χ432-2-22-2-222002-2-22-2-22200000000-2-22222-2-2000000000000002i−2i−2i2i00000000
χ442-2-22-2-222002-2-22-2-22200000000-2-22222-2-200000000000000−2i2i2i−2i00000000
χ458888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ4688888888-8-8-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000
χ478888-8-8-8-88i−8i-1-1-1-11111−i−i−i−iiiii0000000000000000000000000000000000
χ488888-8-8-8-8−8i8i-1-1-1-11111iiii−i−i−i−i0000000000000000000000000000000000
χ4988-8-88i−8i8i−8i00-1-111−ii−ii3ζ3ζ−3ζ−3ζ3ζ33ζ3−3ζ3−3ζ30000000000000000000000000000000000
χ5088-8-88i−8i8i−8i00-1-111−ii−ii−3ζ−3ζ3ζ3ζ−3ζ3−3ζ33ζ33ζ30000000000000000000000000000000000
χ5188-8-8−8i8i−8i8i00-1-111i−ii−i3ζ33ζ3−3ζ3−3ζ33ζ3ζ−3ζ−3ζ0000000000000000000000000000000000
χ5288-8-8−8i8i−8i8i00-1-111i−ii−i−3ζ3−3ζ33ζ33ζ3−3ζ−3ζ3ζ3ζ0000000000000000000000000000000000
χ538-88-88i−8i−8i8i00-11-11−iii−i3ζ3−3ζ33ζ3−3ζ33ζ−3ζ3ζ−3ζ0000000000000000000000000000000000
χ548-88-88i−8i−8i8i00-11-11−iii−i−3ζ33ζ3−3ζ33ζ3−3ζ3ζ−3ζ3ζ0000000000000000000000000000000000
χ558-88-8−8i8i8i−8i00-11-11i−i−ii3ζ−3ζ3ζ−3ζ3ζ3−3ζ33ζ3−3ζ30000000000000000000000000000000000
χ568-88-8−8i8i8i−8i00-11-11i−i−ii−3ζ3ζ−3ζ3ζ−3ζ33ζ3−3ζ33ζ30000000000000000000000000000000000
χ578-8-8888-8-800-111-1-1-1113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ588-8-8888-8-800-111-1-1-111−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ598-8-88-8-88800-111-111-1-13-3-333-3-330000000000000000000000000000000000
χ608-8-88-8-88800-111-111-1-1-333-3-333-30000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.