Finite Group Databasebeta

← Group #10767967

Character table — Group #10767967

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222244444466668888888888888121212121616161616161616161616161616162424242424242424244848
order1222223666224466444422444444466121222446688121212121212122424242422444444488
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1
χ311111111111111111111-1-11-1-1111111111111-1-1-1-11-1-11111-1-1-1-1-1-1111-1-111-1-1
χ411111111111111111111-1-11-1-1-1-1-1-111111111-1-1111-1-1-1-1-1-11111-1-11-1-1-1-1-1-111
χ51111111111111111-1-1-1-11111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-111-1-111
χ81111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1111111-1-1
χ91111111111-1-1111111111-1-11-111-1-1-1-111-1-1111-11-1-11-111-1-111-1-11-1-1111-1-1-11-1
χ101111111111-1-1111111111-1-11-1-1-111-1-111-1-1111-1-11-11-1-1-111-1-1111-1-1-1-11-111-11
χ111111111111-1-111111111-11-1-1111-1-1-1-111-1-111-11-11-1-1111-1-1-1-111-11-111-11-1-1-11
χ121111111111-1-111111111-11-1-11-1-111-1-111-1-111-111-1-1-11-1-11111-1-1-11-1-1-1-11111-1
χ131111111111-1-11111-1-1-1-11-1-11-111-1-1-1-11111-1-11-11-1-11-111-1-111-1-1-111-1-1-1111-11
χ141111111111-1-11111-1-1-1-11-1-11-1-1-111-1-11111-1-11-1-11-11-1-1-111-1-111-11111-11-1-11-1
χ151111111111-1-11111-1-1-1-1-11-1-1111-1-1-1-11111-1-1-11-11-1-1111-1-1-1-1111-11-1-11-1111-1
χ161111111111-1-11111-1-1-1-1-11-1-11-1-111-1-11111-1-1-111-1-1-11-1-11111-1-11-11111-1-1-1-11
χ17222222222222-2-222222200-200000022-2-2-2-2-2-20000-2000000000000200000000
χ18222222222222-2-222-2-2-2-200-200000022-2-222220000-2000000000000-200000000
χ192222222222-2-2-2-2222222002000000-2-2-2-222-2-200002000000000000-200000000
χ202222222222-2-2-2-222-2-2-2-2002000000-2-2-2-2-2-22200002000000000000200000000
χ21222222-1-1-1-12222-1-10000222222222-1-1-1-10000-1-122-1-1-1-1-1-1-1-1-1-1-100000000000
χ22222222-1-1-1-12222-1-1000022222-2-2-2-2-1-1-1-10000-1-1-2-2-1-1-11111111100000000000
χ23222222-1-1-1-12222-1-10000-2-22-2-22222-1-1-1-1000011-2-2-111-1-1-1-1111100000000000
χ24222222-1-1-1-12222-1-10000-2-22-2-2-2-2-2-2-1-1-1-100001122-1111111-1-1-1-100000000000
χ25222222-1-1-1-1-2-222-1-100002-2-22-222-2-211-1-10000-112-21-11-1-111-1-11100000000000
χ26222222-1-1-1-1-2-222-1-100002-2-22-2-2-22211-1-10000-11-221-1111-1-111-1-100000000000
χ27222222-1-1-1-1-2-222-1-10000-22-2-2222-2-211-1-100001-1-2211-1-1-11111-1-100000000000
χ28222222-1-1-1-1-2-222-1-10000-22-2-22-2-22211-1-100001-12-211-111-1-1-1-11100000000000
χ292222-2-22222002-2-2-222-2-20200-20000002-2002-2020000-200000000020000-20000
χ302222-2-22222002-2-2-222-2-20-20020000002-2002-20-200002000000000-2000020000
χ312222-2-22222002-2-2-2-2-2220200-20000002-200-22020000-2000000000-2000020000
χ322222-2-22222002-2-2-2-2-2220-20020000002-200-220-20000200000000020000-20000
χ332222-2-2222200-22-2-222-2-2200-20000000-2200-2220000-200000000020000-200000
χ342222-2-2222200-22-2-222-2-2-20020000000-2200-22-200002000000000-20000200000
χ352222-2-2222200-22-2-2-2-222200-20000000-22002-220000-2000000000-20000200000
χ362222-2-2222200-22-2-2-2-222-20020000000-22002-2-20000200000000020000-200000
χ37444444-2-2-2-244-4-4-2-2000000-4000000-2-222000000002000000000000000000000
χ38444444-2-2-2-2-4-4-4-4-2-20000004000000222200000000-2000000000000000000000
χ394444-4-4-2-2-2-2004-42200000400-4000000-2200000-2000020000000000000000000
χ404444-4-4-2-2-2-2004-42200000-4004000000-220000020000-20000000000000000000
χ414444-4-4-2-2-2-200-44220000400-400000002-20000-20000200000000000000000000
χ424444-4-4-2-2-2-200-44220000-400400000002-2000020000-200000000000000000000
χ4344-4-40044-4-4000000004i−4i000002i−2i000000000000000002i−2i0000000002-2000000
χ4444-4-40044-4-4000000004i−4i00000−2i2i00000000000000000−2i2i000000000-22000000
χ4544-4-40044-4-400000000−4i4i000002i−2i000000000000000002i−2i000000000-22000000
χ4644-4-40044-4-400000000−4i4i00000−2i2i00000000000000000−2i2i0000000002-2000000
χ474-44-4004-44-40000004-40000000002i−2i000000000000000002i−2i000000000002i−2i00
χ484-44-4004-44-40000004-4000000000−2i2i00000000000000000−2i2i00000000000−2i2i00
χ494-44-4004-44-4000000-440000000002i−2i000000000000000002i−2i00000000000−2i2i00
χ504-44-4004-44-4000000-44000000000−2i2i00000000000000000−2i2i000000000002i−2i00
χ514-4-444-44-4-444-400-4400000000000004-400000000000000000000000000000000
χ524-4-444-44-4-44-4400-440000000000000-4400000000000000000000000000000000
χ534-4-444-4-222-24-4002-20000000000000-2200000000000000000i6−i6i6−i600000000000
χ544-4-444-4-222-24-4002-20000000000000-2200000000000000000−i6i6−i6i600000000000
χ554-4-444-4-222-2-44002-200000000000002-200000000000000000i6−i6−i6i600000000000
χ564-4-444-4-222-2-44002-200000000000002-200000000000000000−i6i6i6−i600000000000
χ574-4-44-444-4-4400004-4000000000000000004-40000000000000000000000000000
χ584-4-44-444-4-4400004-400000000000000000-440000000000000000000000000000
χ5988-8-800-4-4440000000000000004i−4i00000000000000000−2i2i00000000000000000
χ6088-8-800-4-444000000000000000−4i4i000000000000000002i−2i00000000000000000
χ618-88-800-44-44000000000000000004i−4i00000000000000000−2i2i000000000000000
χ628-88-800-44-4400000000000000000−4i4i000000000000000002i−2i000000000000000
χ638-8-88-88-444-40000-4400000000000000000000000000000000000000000000000

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