Finite Group Databasebeta

← Group #10858724

Character table — Group #10858724

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222222244444444888888888888812121212121212121212161616161616161616161616161624242424242424242448
order122222344446666688121212122244448882424242422444444886688121212122424242424244444448884
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-111-11-1-1111111111111-1-111-1-1-111-1-1-1-1-1-1-11-1-11-1-111-1-1
χ4111111111111111111111111-111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-111-1-111
χ51111111111111111111111-1-11-1-111-1-111111111-1-1-1-1-1-1-1-11-11-1-1111-1-1-1-11111-1-1-1-1-11
χ61111111111111111111111-1-11-1-111-1-11111-1-1-1-1111111-1-11-11-1-1111-1-1-1-1-1-1-1-111111-1
χ71111111111111111111111-1-1-1-1-1-111111111111-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1111-1-11-1
χ81111111111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-11111-111-1-1-111-11
χ91111111111111111-1-11111111-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-11-1-111-1-1-111-11111-1-1
χ101111111111111111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-111-1-11-1-11-1-1-1-111
χ111111111111111111-1-1111111-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ121111111111111111-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-111-1-111111111-1-1-1-1
χ131111111111111111-1-11111-1-11111-111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-111-1-1-1-1-11-1
χ141111111111111111-1-11111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111111-11
χ151111111111111111-1-11111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-11111-1-1-1-1-1-111-1-1-11
χ161111111111111111-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11111-1-11111-1-1111-1
χ17222222-12222-1-1-1-1-122-1-1-1-1222222222-1-1-1-10000000000-1-122-1-1-1-1-1-1-1-1-1-10000000000
χ18222222-12222-1-1-1-1-122-1-1-1-122-222-22-2-2-1-1-1-10000000000-1-1-2-21-1-111111110000000000
χ19222222-12222-1-1-1-1-122-1-1-1-1-2-22-2-222-2-2-1-1-1-10000000000112-2-111-1-1-111110000000000
χ20222222-12222-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2222-1-1-1-1000000000011-22111111-1-1-1-10000000000
χ21222222-12222-1-1-1-1-1-2-2-1-1-1-1222-2-22-2-2-211110000000000-1-1-22-111-111-1-1110000000000
χ22222222-12222-1-1-1-1-1-2-2-1-1-1-122-2-2-2-2-22211110000000000-1-12-21111-1-111-1-10000000000
χ23222222-12222-1-1-1-1-1-2-2-1-1-1-1-2-22222-2221111000000000011-2-2-1-1-1-11111-1-10000000000
χ24222222-12222-1-1-1-1-1-2-2-1-1-1-1-2-2-222-2-2-2-21111000000000011221-1-11-1-1-1-1110000000000
χ252222-2-222-2-22222-2-2002-22-200200-20000000000022-2-2-2-20000200-20000000000000020
χ262222-2-222-2-22222-2-2002-22-200200-200000000000-2-222220000200-200000000000000-20
χ272222-2-222-2-22222-2-2002-22-200-20020000000000022-2-2220000-200200000000000000-20
χ282222-2-222-2-22222-2-2002-22-200-200200000000000-2-222-2-20000-20020000000000000020
χ292222-2-22-222-2222-2-222-22-22000000-20022-2-222-2-200000000000000000000-2002000000
χ302222-2-22-222-2222-2-222-22-22000000-20022-2-2-2-22200000000000000000000200-2000000
χ312222-2-22-222-2222-2-2-2-2-22-22000000200-2-22222-2-200000000000000000000200-2000000
χ322222-2-22-222-2222-2-2-2-2-22-22000000200-2-222-2-22200000000000000000000-2002000000
χ3322-2-22-222-22-22-2-22-20022-2-22-2000000000002-22-20000002-20000000000000000002-200
χ3422-2-22-222-22-22-2-22-20022-2-22-200000000000-22-220000002-2000000000000000000-2200
χ3522-2-22-222-22-22-2-22-20022-2-2-22000000000002-22-2000000-22000000000000000000-2200
χ3622-2-22-222-22-22-2-22-20022-2-2-2200000000000-22-22000000-220000000000000000002-200
χ3722-2-22-22-22-222-2-22-200-2-22200000002-2000000002i−2i2i−2i000000000000002-202i−2i0000000
χ3822-2-22-22-22-222-2-22-200-2-22200000002-200000000−2i2i−2i2i000000000000002-20−2i2i0000000
χ3922-2-22-22-22-222-2-22-200-2-2220000000-22000000002i−2i2i−2i00000000000000-220−2i2i0000000
χ4022-2-22-22-22-222-2-22-200-2-2220000000-2200000000−2i2i−2i2i00000000000000-2202i−2i0000000
χ4122-2-2-222-2-2222-2-2-2200-222-20002i−2i000000002-2-222i−2i−2i2i00000002i−2i00000000000000000
χ4222-2-2-222-2-2222-2-2-2200-222-20002i−2i00000000-222-2−2i2i2i−2i00000002i−2i00000000000000000
χ4322-2-2-222-2-2222-2-2-2200-222-2000−2i2i000000002-2-22−2i2i2i−2i0000000−2i2i00000000000000000
χ4422-2-2-222-2-2222-2-2-2200-222-2000−2i2i00000000-222-22i−2i−2i2i0000000−2i2i00000000000000000
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
χ484444-4-4-24-4-44-2-2-22200-22-2200400-4000000000000000000000-20020000000000000000
χ494444-4-4-24-4-44-2-2-22200-22-2200-4004000000000000000000000200-20000000000000000
χ504444-4-4-2-444-4-2-2-222442-22-2000000-400-2-2220000000000000000000000000000000000
χ514444-4-4-2-444-4-2-2-222-4-42-22-200000040022-2-20000000000000000000000000000000000
χ5244-4-44-4-24-44-4-222-2200-2-2224-4000000000000000000000-220000000000000000000000
χ5344-4-44-4-24-44-4-222-2200-2-222-440000000000000000000002-20000000000000000000000
χ5444-4-44-4-2-44-44-222-220022-2-200000004-400000000000000000000000000-220000000000
χ5544-4-44-4-2-44-44-222-220022-2-20000000-44000000000000000000000000002-20000000000
χ5644-4-4-44444-4-44-4-4-44004-4-4400000000000000000000000000000000000000000000000
χ5744-4-4-44-244-4-4-2222-200-222-200000000000000000000000000000000023−23000000000000
χ5844-4-4-44-244-4-4-2222-200-222-2000000000000000000000000000000000−2323000000000000
χ5944-4-4-44-2-4-444-2222-2002-2-220004i−4i00000000000000000000000−2i2i00000000000000000
χ6044-4-4-44-2-4-444-2222-2002-2-22000−4i4i000000000000000000000002i−2i00000000000000000
χ614-44-40040000-44-400−2i22i20000000000000−2i22i20000000000−2i22i20000000000000000002-20000
χ624-44-40040000-44-400−2i22i20000000000000−2i22i200000000002i2−2i2000000000000000000-220000
χ634-44-40040000-44-4002i2−2i200000000000002i2−2i20000000000−2i22i2000000000000000000-220000
χ644-44-40040000-44-4002i2−2i200000000000002i2−2i200000000002i2−2i20000000000000000002-20000
χ658-88-800-400004-4400−4i24i200000000000002i2−2i2000000000000000000000000000000000000
χ668-88-800-400004-44004i2−4i20000000000000−2i22i2000000000000000000000000000000000000
χ678-8-880080000-8-880000000000000000000000000000000000000000000000000000000
χ688-8-8800-4000044-400000000000000000002i6−2i60000000000000000000000000000000000
χ698-8-8800-4000044-40000000000000000000−2i62i60000000000000000000000000000000000

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