Finite Group Databasebeta

← Group #11808734

Character table — Group #11808734

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11111111448888888888888888999999993636363636363636363636363636363636363636363636363636
order12224444243666666612121212121212122222444424444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-1111-1-1-1-111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-1111-1-1-1-111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111-1-1111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111-1-1111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-1-1-111-1-111-1-111
χ111111-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ121111-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-1-111-1-11111-1-1-1-111
χ141111-1-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-11-1-111-1-11111-1-111-1-111-1-1-1-111
χ1722222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-2222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000
χ192222-2-2-2-22-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-22000000000000000000000000
χ202222-2-2-2-2-22222-2-2-2-22-2-2-2-22222-2-2-2-222222-2000000000000000000000000
χ2122-2-22i2i−2i−2i0022-20000-22i2i−2i−2i00002-22-22i2i−2i−2i000000000000002-22i−2i00000000
χ2222-2-22i2i−2i−2i0022-20000-22i2i−2i−2i00002-22-22i2i−2i−2i00000000000000-22−2i2i00000000
χ2322-2-22i2i−2i−2i0022-20000-22i2i−2i−2i0000-22-22−2i−2i2i2i0000002i−2i2-20000000000000000
χ2422-2-22i2i−2i−2i0022-20000-22i2i−2i−2i0000-22-22−2i−2i2i2i000000−2i2i-220000000000000000
χ2522-2-2−2i−2i2i2i0022-20000-2−2i−2i2i2i00002-22-2−2i−2i2i2i000000000000002-2−2i2i00000000
χ2622-2-2−2i−2i2i2i0022-20000-2−2i−2i2i2i00002-22-2−2i−2i2i2i00000000000000-222i−2i00000000
χ2722-2-2−2i−2i2i2i0022-20000-2−2i−2i2i2i0000-22-222i2i−2i−2i0000002i−2i-220000000000000000
χ2822-2-2−2i−2i2i2i0022-20000-2−2i−2i2i2i0000-22-222i2i−2i−2i000000−2i2i2-20000000000000000
χ292-22-22i−2i2i−2i002-220000-22i−2i2i−2i00002-2-222i−2i2i−2i002-22i−2i00000000000000000000
χ302-22-22i−2i2i−2i002-220000-22i−2i2i−2i00002-2-222i−2i2i−2i00-22−2i2i00000000000000000000
χ312-22-22i−2i2i−2i002-220000-22i−2i2i−2i0000-222-2−2i2i−2i2i00000000002i−2i2-2000000000000
χ322-22-22i−2i2i−2i002-220000-22i−2i2i−2i0000-222-2−2i2i−2i2i0000000000−2i2i-22000000000000
χ332-22-2−2i2i−2i2i002-220000-2−2i2i−2i2i00002-2-22−2i2i−2i2i002-2−2i2i00000000000000000000
χ342-22-2−2i2i−2i2i002-220000-2−2i2i−2i2i00002-2-22−2i2i−2i2i00-222i−2i00000000000000000000
χ352-22-2−2i2i−2i2i002-220000-2−2i2i−2i2i0000-222-22i−2i2i−2i00000000002i−2i-22000000000000
χ362-22-2−2i2i−2i2i002-220000-2−2i2i−2i2i0000-222-22i−2i2i−2i0000000000−2i2i2-2000000000000
χ372-2-222-2-22002-2-2000022-2-22000022-2-22-2-2200000000000000000000002i−2i2i−2i
χ382-2-222-2-22002-2-2000022-2-22000022-2-22-2-220000000000000000000000−2i2i−2i2i
χ392-2-222-2-22002-2-2000022-2-220000-2-222-222-20000000000000000002-22-20000
χ402-2-222-2-22002-2-2000022-2-220000-2-222-222-2000000000000000000-22-220000
χ412-2-22-222-2002-2-200002-222-2000022-2-2-222-200000000000000000000002i−2i−2i2i
χ422-2-22-222-2002-2-200002-222-2000022-2-2-222-20000000000000000000000−2i2i2i−2i
χ432-2-22-222-2002-2-200002-222-20000-2-2222-2-220000000000000000002-2-220000
χ442-2-22-222-2002-2-200002-222-20000-2-2222-2-22000000000000000000-222-20000
χ458888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ4688888888-8-8-1-1-11111-1-1-1-1-111110000000000000000000000000000000000
χ478888-8-8-8-88-8-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000
χ488888-8-8-8-8-88-1-1-11111-11111-1-1-1-10000000000000000000000000000000000
χ4988-8-88i8i−8i−8i00-1-1133-3-31−i−iii3i3i−3i−3i0000000000000000000000000000000000
χ5088-8-88i8i−8i−8i00-1-11-3-3331−i−iii−3i−3i3i3i0000000000000000000000000000000000
χ5188-8-8−8i−8i8i8i00-1-1133-3-31ii−i−i−3i−3i3i3i0000000000000000000000000000000000
χ5288-8-8−8i−8i8i8i00-1-11-3-3331ii−i−i3i3i−3i−3i0000000000000000000000000000000000
χ538-88-88i−8i8i−8i00-11-13-33-31−ii−ii3i−3i3i−3i0000000000000000000000000000000000
χ548-88-88i−8i8i−8i00-11-1-33-331−ii−ii−3i3i−3i3i0000000000000000000000000000000000
χ558-88-8−8i8i−8i8i00-11-13-33-31i−ii−i−3i3i−3i3i0000000000000000000000000000000000
χ568-88-8−8i8i−8i8i00-11-1-33-331i−ii−i3i−3i3i−3i0000000000000000000000000000000000
χ578-8-888-8-8800-1113-3-33-1-111-13-3-330000000000000000000000000000000000
χ588-8-888-8-8800-111-333-3-1-111-1-333-30000000000000000000000000000000000
χ598-8-88-888-800-1113-3-33-11-1-11-333-30000000000000000000000000000000000
χ608-8-88-888-800-111-333-3-11-1-113-3-330000000000000000000000000000000000

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