Finite Group Databasebeta

← Group #10767981

Character table — Group #10767981

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222244444466668888888888888121212121616161616161616161616161616162424242424242424244848
order122222366622446644444444444446612122244881212121212121212122424242444444444488
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1
χ311111111111111111111-1-111111-1-111111111-1-1-1-111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ411111111111111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-111
χ51111111111111111-1-1-1-11111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-11111
χ81111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-11111-111111111-1-1
χ91111111111-1-11111111111-111-1-1-1-1-1-111-1-1111-111-111-1-1-1-111-1-1-11111-1-1-1-11-1
χ101111111111-1-11111111111-1-1-111-1-1-1-111-1-111-1111-1-1-111-1-1-1-111-111-1-111-1-1-11
χ111111111111-1-111111111-1-1-111-1-111-1-111-1-111-11-1-1-111-1-111-1-111-1-1-111-1-111-11
χ121111111111-1-111111111-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1
χ131111111111-1-11111-1-1-1-111-111-1-1-1-1-1-11111-1-11-111-111-1-1-1-111-1-11-1-1-1-11111-11
χ141111111111-1-11111-1-1-1-111-1-1-111-1-1-1-11111-1-1-1111-1-1-111-1-1-1-1111-1-111-1-1111-1
χ151111111111-1-11111-1-1-1-1-1-1-111-1-111-1-11111-1-1-11-1-1-111-1-111-1-111111-1-111-1-11-1
χ161111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1-1-1-1-1111111-1-111111-1-1-1-1-11
χ17222222222222-2-222222200-200000022-2-2-2-2-2-20000-2000000000020000000000
χ18222222222222-2-222-2-2-2-200-200000022-2-222220000-20000000000-20000000000
χ192222222222-2-2-2-2222222002000000-2-2-2-222-2-2000020000000000-20000000000
χ202222222222-2-2-2-222-2-2-2-2002000000-2-2-2-2-2-22200002000000000020000000000
χ21222222-1-1-1-12222-1-10000222222222-1-1-1-1000022-1-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ22222222-1-1-1-12222-1-10000222-2-2-2-222-1-1-1-10000-2-2-1-1-11111-1-1111100000000000
χ23222222-1-1-1-12222-1-10000-2-222222-2-2-1-1-1-10000-2-211-1-1-1-1-111111100000000000
χ24222222-1-1-1-12222-1-10000-2-22-2-2-2-2-2-2-1-1-1-100002211-1111111-1-1-1-100000000000
χ25222222-1-1-1-1-2-222-1-1000022-222-2-2-2-211-1-100002-2-1-11-1-11111-1-11100000000000
χ26222222-1-1-1-1-2-222-1-1000022-2-2-222-2-211-1-10000-22-1-1111-1-11111-1-100000000000
χ27222222-1-1-1-1-2-222-1-10000-2-2-222-2-22211-1-10000-22111-1-111-1-111-1-100000000000
χ28222222-1-1-1-1-2-222-1-10000-2-2-2-2-2222211-1-100002-211111-1-1-1-1-1-11100000000000
χ292222-2-22222002-2-2-222-2-2000002-200002-2002-200000002-2000000000002-20000
χ302222-2-22222002-2-2-222-2-200000-2200002-2002-20000000-2200000000000-220000
χ312222-2-22222002-2-2-2-2-222000002-200002-200-2200000002-200000000000-220000
χ322222-2-22222002-2-2-2-2-22200000-2200002-200-220000000-22000000000002-20000
χ332222-2-2222200-22-2-222-2-20002-2000000-2200-22000002-2000000000002-2000000
χ342222-2-2222200-22-2-222-2-2000-22000000-2200-2200000-2200000000000-22000000
χ352222-2-2222200-22-2-2-2-2220002-2000000-22002-2000002-200000000000-22000000
χ362222-2-2222200-22-2-2-2-222000-22000000-22002-200000-22000000000002-2000000
χ37444444-2-2-2-244-4-4-2-2000000-4000000-2-222000000002000000000000000000000
χ38444444-2-2-2-2-4-4-4-4-2-20000004000000222200000000-2000000000000000000000
χ394444-4-4-2-2-2-2004-4220000000004-40000-2200000000000-2200000000000000000
χ404444-4-4-2-2-2-2004-422000000000-440000-22000000000002-200000000000000000
χ414444-4-4-2-2-2-200-442200000004-40000002-2000000000-220000000000000000000
χ424444-4-4-2-2-2-200-44220000000-440000002-20000000002-20000000000000000000
χ4344-4-44-444-4-44-400-4400000000000004-400000000000000000000000000000000
χ4444-4-44-444-4-4-4400-440000000000000-4400000000000000000000000000000000
χ4544-4-44-4-2-2224-4002-20000000000000-22000000000000000006−66−600000000000
χ4644-4-44-4-2-2224-4002-20000000000000-2200000000000000000−66−6600000000000
χ4744-4-44-4-2-222-44002-200000000000002-2000000000000000006−6−6600000000000
χ4844-4-44-4-2-222-44002-200000000000002-200000000000000000−666−600000000000
χ4944-4-4-4444-4-400004-4000000000000000004-40000000000000000000000000000
χ5044-4-4-4444-4-400004-400000000000000000-440000000000000000000000000000
χ514-44-4004-44-4000000004i−4i2i−2i000000000000000002i−2i0000000000002-200000000
χ524-44-4004-44-4000000004i−4i−2i2i00000000000000000−2i2i000000000000-2200000000
χ534-44-4004-44-400000000−4i4i2i−2i000000000000000002i−2i000000000000-2200000000
χ544-44-4004-44-400000000−4i4i−2i2i00000000000000000−2i2i0000000000002-200000000
χ554-4-44004-4-440000004-40000000002i−2i000000000000000002i−2i000000000002i−2i00
χ564-4-44004-4-440000004-4000000000−2i2i00000000000000000−2i2i00000000000−2i2i00
χ574-4-44004-4-44000000-440000000002i−2i000000000000000002i−2i00000000000−2i2i00
χ584-4-44004-4-44000000-44000000000−2i2i00000000000000000−2i2i000000000002i−2i00
χ5988-8-8-88-4-4440000-4400000000000000000000000000000000000000000000000
χ608-88-800-44-4400000000004i−4i00000000000000000−2i2i0000000000000000000000
χ618-88-800-44-440000000000−4i4i000000000000000002i−2i0000000000000000000000
χ628-8-8800-444-4000000000000000004i−4i00000000000000000−2i2i000000000000000
χ638-8-8800-444-400000000000000000−4i4i000000000000000002i−2i000000000000000

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