Finite Group Databasebeta

← Group #10833313

Character table — Group #10833313

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222222244444444888888888888812121212121212121212161616161616161616161616161624242424242424242448
order12222234444666668812121212444444888242424242222444488881212121212122424242424242444448884
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11111111-1-111-1-111-1111-1-1-1-1-1-1-1-111-1-1-1-111111-1
χ4111111111111111111111111-1-1-1-1-1-111111-1-111-1-111-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-11
χ51111111111111111111111-1-11111-1-11111111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-111-1
χ61111111111111111111111-1-11111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1111-1-11
χ71111111111111111111111-1-1-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-11111111-1-111-1-111111-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1
χ91111111111111111-1-111111111-1-111-1-1-1-1-11111111111-1-11111-1-111-1-1-1-1-111-1-1-11-1-1-1
χ101111111111111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-1111-1111
χ111111111111111111-1-1111111-1-111-1-1-1-1-1-1-111-1-111-1-1111-111-1-111-1-111-1-11-1-11-1-11-1-11
χ121111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11-111-1-111-1-111-1-1-111-111-111-1
χ131111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-11
χ141111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1111-1
χ151111111111111111-1-11111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-11111-1-111111111-1-1-1-1
χ161111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-11111-11-1-1-1-11111-1-111-1-1-1-1-1-11111
χ17222222-12222-1-1-1-1-122-1-1-1-1222222222-1-1-1-1000000000022-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ18222222-12222-1-1-1-1-122-1-1-1-122-2-2-2-2-2-22-1-1-1-10000000000-22-1-111111111-1-10000000000
χ19222222-12222-1-1-1-1-122-1-1-1-1-2-22222-2-22-1-1-1-10000000000-2-211-1-1-1-11111110000000000
χ20222222-12222-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2222-1-1-1-100000000002-2111111-1-1-1-1110000000000
χ21222222-12222-1-1-1-1-1-2-2-1-1-1-12222-2-222-211110000000000-2-2-1-1-1-111-1-111110000000000
χ22222222-12222-1-1-1-1-1-2-2-1-1-1-122-2-222-2-2-2111100000000002-2-1-111-1-111-1-1110000000000
χ23222222-12222-1-1-1-1-1-2-2-1-1-1-1-2-222-2-2-2-2-2111100000000002211-1-11111-1-1-1-10000000000
χ24222222-12222-1-1-1-1-1-2-2-1-1-1-1-2-2-2-22222-211110000000000-221111-1-1-1-111-1-10000000000
χ252222-2-222-2-22222-2-2222-2-2200000000-222-2-2002200-2-20000000000000000200-2000000
χ262222-2-222-2-22222-2-2222-2-2200000000-222-2-200-2-200220000000000000000-2002000000
χ272222-2-222-2-22222-2-2-2-22-2-22000000002-2-222002200-2-20000000000000000-2002000000
χ282222-2-222-2-22222-2-2-2-22-2-22000000002-2-22200-2-200220000000000000000200-2000000
χ292222-2-22-222-2222-2-200-222-22-2000000000002200-2-20022002-20000000000000000-2000
χ302222-2-22-222-2222-2-200-222-22-200000000000-2-2002200-2-2002-200000000000000002000
χ312222-2-22-222-2222-2-200-222-2-22000000000002200-2-200-2-200-2200000000000000002000
χ322222-2-22-222-2222-2-200-222-2-2200000000000-2-20022002200-220000000000000000-2000
χ332-2-222-2222-2-2-2-222-20022-2-20000002i−2i000002-2002-20000000000002i−2i000002i−2i0000000
χ342-2-222-2222-2-2-2-222-20022-2-20000002i−2i00000-2200-220000000000002i−2i00000−2i2i0000000
χ352-2-222-2222-2-2-2-222-20022-2-2000000−2i2i000002-2002-2000000000000−2i2i00000−2i2i0000000
χ362-2-222-2222-2-2-2-222-20022-2-2000000−2i2i00000-2200-22000000000000−2i2i000002i−2i0000000
χ372-2-222-22-2-222-2-222-200-2-22200002-20000000002-2002-2000000002-200000000000002-20
χ382-2-222-22-2-222-2-222-200-2-22200002-2000000000-2200-22000000002-20000000000000-220
χ392-2-222-22-2-222-2-222-200-2-2220000-220000000002-2002-200000000-220000000000000-220
χ402-2-222-22-2-222-2-222-200-2-2220000-22000000000-2200-2200000000-2200000000000002-20
χ412-2-22-222-22-22-2-22-2200-22-22002-20000000002-22-2-22-220000002-2000000000000000000
χ422-2-22-222-22-22-2-22-2200-22-22002-2000000000-22-222-22-20000002-2000000000000000000
χ432-2-22-222-22-22-2-22-2200-22-2200-220000000002-2-22-222-2000000-22000000000000000000
χ442-2-22-222-22-22-2-22-2200-22-2200-22000000000-222-22-2-22000000-22000000000000000000
χ454444444-4-4-4-44444400-4-4-4-400000000000000000000000000000000000000000000000
χ46444444-2-4-4-4-4-2-2-2-2-20022220000000000000000000000000000000000023−230000000000
χ47444444-2-4-4-4-4-2-2-2-2-200222200000000000000000000000000000000000−23230000000000
χ484444-4-4-24-4-44-2-2-22244-222-200000000-4-2-2220000000000000000000000000000000000
χ494444-4-4-24-4-44-2-2-222-4-4-222-200000000422-2-20000000000000000000000000000000000
χ504444-4-4-2-444-4-2-2-222002-2-224-400000000000000000000000-2200000000000000000000
χ514444-4-4-2-444-4-2-2-222002-2-22-44000000000000000000000002-200000000000000000000
χ5244-4-400400004-4-40022−22000000000000022−22000000000022−220000000000000000002-20000
χ5344-4-400400004-4-40022−22000000000000022−220000000000−2222000000000000000000-220000
χ5444-4-400400004-4-400−22220000000000000−2222000000000022−22000000000000000000-220000
χ5544-4-400400004-4-400−22220000000000000−22220000000000−22220000000000000000002-20000
χ564-4-444-4-244-4-422-2-2200-2-2220000004i−4i00000000000000000000000−2i2i00000000000000
χ574-4-444-4-244-4-422-2-2200-2-222000000−4i4i000000000000000000000002i−2i00000000000000
χ584-4-444-4-2-4-44422-2-220022-2-200004-400000000000000000000000-220000000000000000
χ594-4-444-4-2-4-44422-2-220022-2-20000-44000000000000000000000002-20000000000000000
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
χ634-4-44-44-2-44-4422-22-2002-22-2004-400000000000000000000000-22000000000000000000
χ644-4-44-44-2-44-4422-22-2002-22-200-44000000000000000000000002-2000000000000000000
χ6588-8-800-40000-4440042−420000000000000−2222000000000000000000000000000000000000
χ6688-8-800-40000-44400−4242000000000000022−22000000000000000000000000000000000000
χ678-88-80080000-88-80000000000000000000000000000000000000000000000000000000
χ688-88-800-400004-4400000000000000000002i6−2i60000000000000000000000000000000000
χ698-88-800-400004-440000000000000000000−2i62i60000000000000000000000000000000000

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