Finite Group Databasebeta

← Group #11857017

Character table — Group #11857017

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222288888888888888889999181818181818181818181818181818181818181818187272727272727272
order122244444436661212121212121212121212122222444444444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ8111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ101111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11
χ121111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1
χ131111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ141111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ151111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ161111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ1722222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ18222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ192222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ202222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ2122-2-200002i−2i22-2-2000000002i2i−2i−2i22-2-200002i−2i000022-2-22i2i−2i−2i000000000000
χ2222-2-200002i−2i22-2-2000000002i2i−2i−2i22-2-200002i−2i0000-2-222−2i−2i2i2i000000000000
χ2322-2-200002i−2i22-2-2000000002i2i−2i−2i-2-2220000−2i2i2i2i−2i−2i0000000022-2-200000000
χ2422-2-200002i−2i22-2-2000000002i2i−2i−2i-2-2220000−2i2i−2i−2i2i2i00000000-2-22200000000
χ2522-2-20000−2i2i22-2-200000000−2i−2i2i2i22-2-20000−2i2i000022-2-2−2i−2i2i2i000000000000
χ2622-2-20000−2i2i22-2-200000000−2i−2i2i2i22-2-20000−2i2i0000-2-2222i2i−2i−2i000000000000
χ2722-2-20000−2i2i22-2-200000000−2i−2i2i2i-2-22200002i−2i2i2i−2i−2i00000000-2-22200000000
χ2822-2-20000−2i2i22-2-200000000−2i−2i2i2i-2-22200002i−2i−2i−2i2i2i0000000022-2-200000000
χ292-22-2002-2002-22-2000022-2-200002-22-2002-20000002i−2i2i−2i00002i−2i2i−2i00000000
χ302-22-2002-2002-22-2000022-2-200002-22-2002-2000000−2i2i−2i2i0000−2i2i−2i2i00000000
χ312-22-2002-2002-22-2000022-2-20000-22-2200-22002i−2i2i−2i00002i−2i2i−2i000000000000
χ322-22-2002-2002-22-2000022-2-20000-22-2200-2200−2i2i−2i2i0000−2i2i−2i2i000000000000
χ332-22-200-22002-22-20000-2-22200002-22-200-220000002i−2i2i−2i0000−2i2i−2i2i00000000
χ342-22-200-22002-22-20000-2-22200002-22-200-22000000−2i2i−2i2i00002i−2i2i−2i00000000
χ352-22-200-22002-22-20000-2-2220000-22-22002-2002i−2i2i−2i0000−2i2i−2i2i000000000000
χ362-22-200-22002-22-20000-2-2220000-22-22002-200−2i2i−2i2i00002i−2i2i−2i000000000000
χ372-2-222i−2i00002-2-222i2i−2i−2i000000002-2-222i−2i00002-2-222i−2i−2i2i0000000000000000
χ382-2-222i−2i00002-2-222i2i−2i−2i000000002-2-222i−2i0000-222-2−2i2i2i−2i0000000000000000
χ392-2-222i−2i00002-2-222i2i−2i−2i00000000-222-2−2i2i0000000000002-2-22−2i2i2i−2i00000000
χ402-2-222i−2i00002-2-222i2i−2i−2i00000000-222-2−2i2i000000000000-222-22i−2i−2i2i00000000
χ412-2-22−2i2i00002-2-22−2i−2i2i2i000000002-2-22−2i2i00002-2-22−2i2i2i−2i0000000000000000
χ422-2-22−2i2i00002-2-22−2i−2i2i2i000000002-2-22−2i2i0000-222-22i−2i−2i2i0000000000000000
χ432-2-22−2i2i00002-2-22−2i−2i2i2i00000000-222-22i−2i0000000000002-2-222i−2i−2i2i00000000
χ442-2-22−2i2i00002-2-22−2i−2i2i2i00000000-222-22i−2i000000000000-222-2−2i2i2i−2i00000000
χ458888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ46888888-8-8-8-8-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000
χ478888-8-888-8-8-1-1-1-11111-1-1-1-111110000000000000000000000000000000000
χ488888-8-8-8-888-1-1-1-111111111-1-1-1-10000000000000000000000000000000000
χ4988-8-800008i−8i-1-1113-33-33i−3i3i−3i−i−iii0000000000000000000000000000000000
χ5088-8-800008i−8i-1-111-33-33−3i3i−3i3i−i−iii0000000000000000000000000000000000
χ5188-8-80000−8i8i-1-1113-33-3−3i3i−3i3iii−i−i0000000000000000000000000000000000
χ5288-8-80000−8i8i-1-111-33-333i−3i3i−3iii−i−i0000000000000000000000000000000000
χ538-88-8008-800-11-113i−3i−3i3i-1-1113i−3i3i−3i0000000000000000000000000000000000
χ548-88-8008-800-11-11−3i3i3i−3i-1-111−3i3i−3i3i0000000000000000000000000000000000
χ558-88-800-8800-11-113i−3i−3i3i11-1-1−3i3i−3i3i0000000000000000000000000000000000
χ568-88-800-8800-11-11−3i3i3i−3i11-1-13i−3i3i−3i0000000000000000000000000000000000
χ578-8-888i−8i0000-111-1−i−iii3i−3i−3i3i-333-30000000000000000000000000000000000
χ588-8-888i−8i0000-111-1−i−iii−3i3i3i−3i3-3-330000000000000000000000000000000000
χ598-8-88−8i8i0000-111-1ii−i−i3i−3i−3i3i3-3-330000000000000000000000000000000000
χ608-8-88−8i8i0000-111-1ii−i−i−3i3i3i−3i-333-30000000000000000000000000000000000

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