Finite Group Databasebeta

← Group #11773477

Character table — Group #11773477

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11111111448888888888888888999999993636363636363636363636363636363636363636363636363636
order12222222443666666612121212121212122222222244444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i11-11-1-1-11i−i11-1-1ii−i−iii−i−iii−i−i11-1-111-1-1
χ101111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i11-11-1-1-11i−i11-1-1ii−i−i−i−iii−i−iii-1-111-1-111
χ111111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i11-11-1-1-11i−i-1-111−i−iiiii−i−i−i−iii11-1-1-1-111
χ121111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i11-11-1-1-11i−i-1-111−i−iii−i−iiiii−i−i-1-11111-1-1
χ131111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii11-11-1-1-11−ii11-1-1−i−iiiii−i−iii−i−i-1-111-1-111
χ141111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii11-11-1-1-11−ii11-1-1−i−iii−i−iii−i−iii11-1-111-1-1
χ151111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii11-11-1-1-11−ii-1-111ii−i−iii−i−i−i−iii-1-11111-1-1
χ161111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii11-11-1-1-11−ii-1-111ii−i−i−i−iiiii−i−i11-1-1-1-111
χ1722222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000
χ192222-2-2-2-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22-2222-2−2i2i000000000000000000000000
χ202222-2-2-2-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-22-2222-22i−2i000000000000000000000000
χ2122-2-222-2-20022-2-222-2-200000000222-22-2-2-20000002-22-20000000000000000
χ2222-2-222-2-20022-2-222-2-200000000222-22-2-2-2000000-22-220000000000000000
χ2322-2-222-2-20022-2-222-2-200000000-2-2-22-2222002-22-200000000000000000000
χ2422-2-222-2-20022-2-222-2-200000000-2-2-22-222200-22-2200000000000000000000
χ2522-2-2-2-2220022-2-2-2-2220000000022-2-2-222-20000002i−2i−2i2i0000000000000000
χ2622-2-2-2-2220022-2-2-2-2220000000022-2-2-222-2000000−2i2i2i−2i0000000000000000
χ2722-2-2-2-2220022-2-2-2-22200000000-2-2222-2-22002-2-2200000000000000000000
χ2822-2-2-2-2220022-2-2-2-22200000000-2-2222-2-2200-222-200000000000000000000
χ292-22-22-22-2002-22-22-22-2000000002-22-2-22-22000000000000002i−2i2i−2i00000000
χ302-22-22-22-2002-22-22-22-2000000002-22-2-22-2200000000000000−2i2i−2i2i00000000
χ312-22-22-22-2002-22-22-22-200000000-22-222-22-200000000000000000000002i−2i2i−2i
χ322-22-22-22-2002-22-22-22-200000000-22-222-22-20000000000000000000000−2i2i−2i2i
χ332-22-2-22-22002-22-2-22-22000000002-2-2-22-222000000000000002-2-2200000000
χ342-22-2-22-22002-22-2-22-22000000002-2-2-22-22200000000000000-222-200000000
χ352-22-2-22-22002-22-2-22-2200000000-2222-22-2-200000000000000000000002i−2i−2i2i
χ362-22-2-22-22002-22-2-22-2200000000-2222-22-2-20000000000000000000000−2i2i2i−2i
χ372-2-222-2-22002-2-222-2-22000000002-222-2-22-20000000000000000002i−2i2i−2i0000
χ382-2-222-2-22002-2-222-2-22000000002-222-2-22-2000000000000000000−2i2i−2i2i0000
χ392-2-222-2-22002-2-222-2-2200000000-22-2-222-2200000000002-22-2000000000000
χ402-2-222-2-22002-2-222-2-2200000000-22-2-222-220000000000-22-22000000000000
χ412-2-22-222-2002-2-22-222-2000000002-2-2222-2-20000000000000000002i−2i−2i2i0000
χ422-2-22-222-2002-2-22-222-2000000002-2-2222-2-2000000000000000000−2i2i2i−2i0000
χ432-2-22-222-2002-2-22-222-200000000-222-2-2-22200000000002i−2i−2i2i000000000000
χ442-2-22-222-2002-2-22-222-200000000-222-2-2-2220000000000−2i2i2i−2i000000000000
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
χ4988-8-888-8-800-1-111-1-1113i3i−3i−3i3i3i−3i−3i0000000000000000000000000000000000
χ5088-8-888-8-800-1-111-1-111−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000000000
χ5188-8-8-8-88800-1-11111-1-133-3-3-3-3330000000000000000000000000000000000
χ5288-8-8-8-88800-1-11111-1-1-3-33333-3-30000000000000000000000000000000000
χ538-88-88-88-800-11-11-11-113i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000
χ548-88-88-88-800-11-11-11-11−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000
χ558-88-8-88-8800-11-111-11-13-33-3-33-330000000000000000000000000000000000
χ568-88-8-88-8800-11-111-11-1-33-333-33-30000000000000000000000000000000000
χ578-8-888-8-8800-111-1-111-13-3-333-3-330000000000000000000000000000000000
χ588-8-888-8-8800-111-1-111-1-333-3-333-30000000000000000000000000000000000
χ598-8-88-888-800-111-11-1-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ608-8-88-888-800-111-11-1-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000

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