Finite Group Databasebeta

← Group #10767775

Character table — Group #10767775

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222244444444444888888881212121216161616161616161616161616161616242424242424242424244848
order1222223446664444466121212122444121212122244446881212121212121224242424222244444488
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11-111-11-1-111-1-1
χ611111111111111111111111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-111
χ711111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11-111-1-111
χ811111111111111111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-11111-11111-1-1
χ91111111-1-1111-1-1-11111-1-1111-11-11-1-1-111-1-11-111-11-1-111-1-111-1-1-1111-111-1-1-11-1
χ101111111-1-1111-1-1-11111-1-1111-11-11-1-1-111-1-1-111-111-1-1-1-111-1-111-11-1-1-111-111-11
χ111111111-1-1111-1-1-11111-1-1111-11-11-1-1-1-1-1111-111-11-1-111-1-111-1-11-1-1-11-1-1111-11
χ121111111-1-1111-1-1-11111-1-1111-11-11-1-1-1-1-111-111-111-1-1-1-111-1-1111-1111-1-11-1-11-1
χ131111111-1-1111-1-1-11111-1-111-11-111-1-1-111-1-11-1-1-11-11111-1-1-1-111-1-11111-11-1-1-11
χ141111111-1-1111-1-1-11111-1-111-11-111-1-1-111-1-1-11-11-1-111-1-11111-1-1-1-1-1-111-11111-1
χ151111111-1-1111-1-1-11111-1-111-11-111-1-1-1-1-1111-1-1-11-11111-1-1-1-11111-1-1-1-11-1111-1
χ161111111-1-1111-1-1-11111-1-111-11-111-1-1-1-1-111-11-11-1-111-1-11111-1-11111-1-11-1-1-1-11
χ172222222222222-2-2-2-22222-2-20000-22-2-222220000000000000000-20000-2000000
χ182222222222222-2-2-2-22222-2-20000-22-2-2-2-2-2-20000000000000000200002000000
χ192222222-2-2222-222-2-222-2-2-2-20000-2-22222-2-2000000000000000020000-2000000
χ202222222-2-2222-222-2-222-2-2-2-20000-2-222-2-2220000000000000000-200002000000
χ21222222-122-1-1-122222-1-1-1-1-1-12222-1-1-1-1000022-122-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222-122-1-1-122222-1-1-1-1-1-12222-1-1-1-10000-2-2-1-2-2-1-1-111111111000000000000
χ23222222-122-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-10000221-2-2111-1-1-1-11111000000000000
χ24222222-122-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-10000-2-21221111111-1-1-1-1000000000000
χ25222222-1-2-2-1-1-1-2-2-222-1-111-1-12-22-2-111100002-2-12-2-111-1-111-1-111000000000000
χ26222222-1-2-2-1-1-1-2-2-222-1-111-1-12-22-2-11110000-22-1-22-11111-1-111-1-1000000000000
χ27222222-1-2-2-1-1-1-2-2-222-1-111-1-1-22-22-111100002-21-221-1-1-1-11111-1-1000000000000
χ28222222-1-2-2-1-1-1-2-2-222-1-111-1-1-22-22-11110000-2212-21-1-111-1-1-1-111000000000000
χ292222-2-2222222-22-22-2-2-222220000-2-22-2000000000000000000000200-20-220000
χ302222-2-2222222-22-22-2-2-222220000-2-22-2000000000000000000000-200202-20000
χ312222-2-2222222-2-22-22-2-222-2-22-2-222-2-22000000200-22-200000000000000000000
χ322222-2-2222222-2-22-22-2-222-2-2-222-22-2-22000000-2002-2200000000000000000000
χ332222-2-22-2-222222-2-22-2-2-2-2-2-222-2-2222-2000000200-2-2200000000000000000000
χ342222-2-22-2-222222-2-22-2-2-2-2-2-2-2-222222-2000000-20022-200000000000000000000
χ352222-2-22-2-22222-222-2-2-2-2-2220000-22-2200000000000000000000020020-2-20000
χ362222-2-22-2-22222-222-2-2-2-2-2220000-22-22000000000000000000000-200-20220000
χ372222-2-2-122-1-1-1-2-22-2211-1-1112-2-22-111-1000000-1001-113−33−33−33−3000000000000
χ382222-2-2-122-1-1-1-2-22-2211-1-1112-2-22-111-1000000-1001-11−33−33−33−33000000000000
χ392222-2-2-122-1-1-1-2-22-2211-1-111-222-2-111-1000000100-11-13−33−3−33−33000000000000
χ402222-2-2-122-1-1-1-2-22-2211-1-111-222-2-111-1000000100-11-1−33−333−33−3000000000000
χ412222-2-2-1-2-2-1-1-122-2-2211111122-2-2-1-1-11000000-10011-13−3−333−3−33000000000000
χ422222-2-2-1-2-2-1-1-122-2-2211111122-2-2-1-1-11000000-10011-1−333−3−333−3000000000000
χ432222-2-2-1-2-2-1-1-122-2-22111111-2-222-1-1-11000000100-1-113−3−33−333−3000000000000
χ442222-2-2-1-2-2-1-1-122-2-22111111-2-222-1-1-11000000100-1-11−333−33−3−33000000000000
χ45444444-244-2-2-24-4-4-4-4-2-2-2-22200002-22200000000000000000000000000000000
χ46444444-2-4-4-2-2-2-444-4-4-2-22222000022-2-200000000000000000000000000000000
χ474444-4-4-244-2-2-2-44-44-422-2-2-2-2000022-2200000000000000000000000000000000
χ484444-4-4-2-4-4-2-2-24-444-42222-2-200002-22-200000000000000000000000000000000
χ4944-4-40044i−4i4-4-400000004i−4i000000000000000000000000000000002-200002i−2i00
χ5044-4-40044i−4i4-4-400000004i−4i00000000000000000000000000000000-220000−2i2i00
χ5144-4-4004−4i4i4-4-40000000−4i4i000000000000000000000000000000002-20000−2i2i00
χ5244-4-4004−4i4i4-4-40000000−4i4i00000000000000000000000000000000-2200002i−2i00
χ534-44-44-4400-44-4000004-4000000000000004i−4i0000000000000000000000000000
χ544-44-44-4400-44-4000004-400000000000000−4i4i0000000000000000000000000000
χ554-44-4-44400-44-400000-440000000000004-4000000000000000000000000000000
χ564-44-4-44400-44-400000-44000000000000-44000000000000000000000000000000
χ5788-8-800-48i−8i-4440000000−4i4i000000000000000000000000000000000000000000
χ5888-8-800-4−8i8i-44400000004i−4i000000000000000000000000000000000000000000
χ598-88-88-8-4004-4400000-4400000000000000000000000000000000000000000000
χ608-88-8-88-4004-44000004-400000000000000000000000000000000000000000000
χ618-8-8800800-8-88000000000000000000000000000000000000000000000000000
χ628-8-8800-40044-400000000043−430000000000000000000000000000000000000000
χ638-8-8800-40044-4000000000−43430000000000000000000000000000000000000000

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