Finite Group Databasebeta

← Group #10833334

Character table — Group #10833334

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222222244444444888888888888812121212121212121212161616161616161616161616161624242424242424242448
order1222223444466666881212121224444488824242424222244448868812121212122424242424242244448884
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-11-1-1111111-1-111-1-11111-1-1-11-1-111-1-1-1-1-1-1-1-111111-1
χ411111111111111111111111-1-11-1-11-1-11111-1-111-1-111-1-111-1-1-11-1-111-1-1-1-11111-1-1-1-1-11
χ51111111111111111111111-111-1111-1-1111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-111-1111-1-11111-1-1-1-1-1-1-1-111-1-1-111-111-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111111-1-111-1-11111-1-11-1-1-1-1-1-1-11111-1-11111-1-11-1
χ91111111111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1111-11111-1-1-1-111-1-1-1-111-1-1-1-111
χ101111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11111-1-1-1-111-1-111-1-11111-1-1
χ111111111111111111-1-111111-1-1111-111-1-1-1-111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11-1
χ121111111111111111-1-111111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1111111-11
χ131111111111111111-1-11111-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11-111-1-1-111-1-111111111-1-1-1-1
χ141111111111111111-1-11111-111-1-1-1-111-1-1-1-1-1-111-1-11111-11-111-1-1-111-1-111-1-1-1-1-1-11111
χ151111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-111111111-1-1-111-1-1-1111111-1-1-1-1-1-111-1-1-11
χ161111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1111111-1-11111-1-1111-1
χ17222222-12222-1-1-1-1-122-1-1-1-1222222222-1-1-1-10000000000-122-1-1-1-1-1-1-1-1-1-1-10000000000
χ18222222-12222-1-1-1-1-122-1-1-1-12-2-22-2-22-2-2-1-1-1-10000000000-12-211-111-1-111110000000000
χ19222222-12222-1-1-1-1-122-1-1-1-1-222-2222-2-2-1-1-1-100000000001-2-2-1-11-1-11111110000000000
χ20222222-12222-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2222-1-1-1-100000000001-221111111-1-1-1-10000000000
χ21222222-12222-1-1-1-1-1-2-2-1-1-1-12222-2-2-2-2-211110000000000-1-22-1-1-11111-1-1110000000000
χ22222222-12222-1-1-1-1-1-2-2-1-1-1-12-2-2222-22211110000000000-1-2-211-1-1-11111-1-10000000000
χ23222222-12222-1-1-1-1-1-2-2-1-1-1-1-222-2-2-2-2221111000000000012-2-1-1111-1-111-1-10000000000
χ24222222-12222-1-1-1-1-1-2-2-1-1-1-1-2-2-2-222-2-2-211110000000000122111-1-1-1-1-1-1110000000000
χ252222-2-222-2-22222-2-2002-2-22200-20000000002200-2-200-2-220000-2000000000000000020
χ262222-2-222-2-22222-2-2002-2-22200-2000000000-2-20022002220000-20000000000000000-20
χ272222-2-222-2-22222-2-2002-2-22-20020000000002200-2-20022-2000020000000000000000-20
χ282222-2-222-2-22222-2-2002-2-22-2002000000000-2-2002200-2-2-200002000000000000000020
χ292222-2-22-222-2222-2-222-222-2000000-20022-2-2002200-2-20000000000000000002-2000000
χ302222-2-22-222-2222-2-222-222-2000000-20022-2-200-2-20022000000000000000000-22000000
χ312222-2-22-222-2222-2-2-2-2-222-2000000200-2-222002200-2-2000000000000000000-22000000
χ322222-2-22-222-2222-2-2-2-2-222-2000000200-2-22200-2-200220000000000000000002-2000000
χ332-2-222-2222-2-2-2-222-20022-2-202i−2i0000000000002-2002-2000002i−2i0000000000000002i−2i00
χ342-2-222-2222-2-2-2-222-20022-2-202i−2i000000000000-2200-22000002i−2i000000000000000−2i2i00
χ352-2-222-2222-2-2-2-222-20022-2-20−2i2i0000000000002-2002-200000−2i2i000000000000000−2i2i00
χ362-2-222-2222-2-2-2-222-20022-2-20−2i2i000000000000-2200-2200000−2i2i0000000000000002i−2i00
χ372-2-222-22-2-222-2-222-200-2-22200000002-200002-2002-200000000000000002-22-200000000
χ382-2-222-22-2-222-2-222-200-2-22200000002-20000-2200-2200000000000000002-2-2200000000
χ392-2-222-22-2-222-2-222-200-2-2220000000-2200002-2002-20000000000000000-22-2200000000
χ402-2-222-22-2-222-2-222-200-2-2220000000-220000-2200-220000000000000000-222-200000000
χ412-2-22-222-22-22-2-22-2200-22-2200002-200000002-22-2-22-22000000002-20000000000000000
χ422-2-22-222-22-22-2-22-2200-22-2200002-20000000-22-222-22-2000000002-20000000000000000
χ432-2-22-222-22-22-2-22-2200-22-220000-2200000002-2-22-222-200000000-220000000000000000
χ442-2-22-222-22-22-2-22-2200-22-220000-220000000-222-22-2-2200000000-220000000000000000
χ454444444-4-4-4-44444400-4-4-4-400000000000000000000000000000000000000000000000
χ46444444-2-4-4-4-4-2-2-2-2-2002222000000000000000000000000000000023−2300000000000000
χ47444444-2-4-4-4-4-2-2-2-2-20022220000000000000000000000000000000−232300000000000000
χ484444-4-4-24-4-44-2-2-22200-222-2400-40000000000000000000-200002000000000000000000
χ494444-4-4-24-4-44-2-2-22200-222-2-4004000000000000000000020000-2000000000000000000
χ504444-4-4-2-444-4-2-2-222442-2-22000000-400-2-2220000000000000000000000000000000000
χ514444-4-4-2-444-4-2-2-222-4-42-2-2200000040022-2-20000000000000000000000000000000000
χ524-44-40040000-44-400−2i22i20000000000000−2i22i20000000000−2i22i20000000000000000002-20000
χ534-44-40040000-44-400−2i22i20000000000000−2i22i200000000002i2−2i2000000000000000000-220000
χ544-44-40040000-44-4002i2−2i200000000000002i2−2i20000000000−2i22i2000000000000000000-220000
χ554-44-40040000-44-4002i2−2i200000000000002i2−2i200000000002i2−2i20000000000000000002-20000
χ564-4-444-4-244-4-422-2-2200-2-22204i−4i00000000000000000000000−2i2i0000000000000000000
χ574-4-444-4-244-4-422-2-2200-2-2220−4i4i000000000000000000000002i−2i0000000000000000000
χ584-4-444-4-2-4-44422-2-220022-2-200000004-400000000000000000000000000-220000000000
χ594-4-444-4-2-4-44422-2-220022-2-20000000-44000000000000000000000000002-20000000000
χ604-4-44-4444-44-4-4-44-44004-44-400000000000000000000000000000000000000000000000
χ614-4-44-44-24-44-422-22-200-22-2200000000000000000000000000000000023−23000000000000
χ624-4-44-44-24-44-422-22-200-22-22000000000000000000000000000000000−2323000000000000
χ634-4-44-44-2-44-4422-22-2002-22-200004-400000000000000000000000-220000000000000000
χ644-4-44-44-2-44-4422-22-2002-22-20000-44000000000000000000000002-20000000000000000
χ6588-8-800800008-8-80000000000000000000000000000000000000000000000000000000
χ6688-8-800-40000-44400000000000000000002i6−2i60000000000000000000000000000000000
χ6788-8-800-40000-4440000000000000000000−2i62i60000000000000000000000000000000000
χ688-88-800-400004-4400−4i24i200000000000002i2−2i2000000000000000000000000000000000000
χ698-88-800-400004-44004i2−4i20000000000000−2i22i2000000000000000000000000000000000000

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