Finite Group Databasebeta

← Group #10695519

Character table — Group #10695519

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222222444444444448888161616161616161616161616161616161616242424242424242448484848
order122222344666224446612121212661212448888121212122424242424242424444444442444
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ5111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ8111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1
χ9222222222222-2-22-2-22222-2-2-2-22-20000000000000000000000000002-20
χ10222222222222-2-22-2-22222-2-2-2-22-2000000000000000000000000000-220
χ112222222-2-222222-2-2-222-2-2-2-222-2-22-2000022-2-200000000000000000000
χ122222222-2-222222-2-2-222-2-2-2-222-2-2-220000-2-22200000000000000000000
χ132222222-2-2222-2-2-22222-2-222-2-2-2200000000000000000022-2-200000000
χ142222222-2-2222-2-2-22222-2-222-2-2-22000000000000000000-2-22200000000
χ15222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ16222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000000000000
χ17222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111000000000000
χ18222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1000000000000
χ19222222-1-2-2-1-1-122-2-2-2-1-11111-1-1112-20000-1-11133−3−333−3−3000000000000
χ20222222-1-2-2-1-1-122-2-2-2-1-11111-1-1112-20000-1-111−3−333−3−333000000000000
χ21222222-1-2-2-1-1-122-2-2-2-1-11111-1-111-22000011-1-133−3−3−3−333000000000000
χ22222222-1-2-2-1-1-122-2-2-2-1-11111-1-111-22000011-1-1−3−33333−3−3000000000000
χ232222-2-22222222-2-2-22-2-222222-2-2-200000000000000000000000000200-2
χ242222-2-22222222-2-2-22-2-222222-2-2-200000000000000000000000000-2002
χ252222-2-2222222-22-22-2-2-222-2-2-22-22002-20000002-22-20000000000000000
χ262222-2-2222222-22-22-2-2-222-2-2-22-2200-22000000-22-220000000000000000
χ272222-2-22-2-22222-222-2-2-2-2-2-2-22-22200000000000000000000002i2i−2i−2i0000
χ282222-2-22-2-22222-222-2-2-2-2-2-2-22-2220000000000000000000000−2i−2i2i2i0000
χ292222-2-22-2-2222-222-22-2-2-2-222-222-200002-2000000002-22-2000000000000
χ302222-2-22-2-2222-222-22-2-2-2-222-222-20000-2200000000-22-22000000000000
χ312222-2-2-122-1-1-1-22-22-211-1-1111-11-1002-2003−33−3-11-113−3−33000000000000
χ322222-2-2-122-1-1-1-22-22-211-1-1111-11-1002-200−33−33-11-11−333−3000000000000
χ332222-2-2-122-1-1-1-22-22-211-1-1111-11-100-22003−33−31-11-1−333−3000000000000
χ342222-2-2-122-1-1-1-22-22-211-1-1111-11-100-2200−33−331-11-13−3−33000000000000
χ352222-2-2-1-2-2-1-1-1-222-221111-1-11-1-1100002-23−3−33−333−3-11-11000000000000
χ362222-2-2-1-2-2-1-1-1-222-221111-1-11-1-1100002-2−333−33−3−33-11-11000000000000
χ372222-2-2-1-2-2-1-1-1-222-221111-1-11-1-110000-223−3−333−3−331-11-1000000000000
χ382222-2-2-1-2-2-1-1-1-222-221111-1-11-1-110000-22−333−3−333−31-11-1000000000000
χ39444444-244-2-2-2-4-44-4-4-2-2-2-22222-22000000000000000000000000000000
χ40444444-2-4-4-2-2-2-4-4-444-2-222-2-2222-2000000000000000000000000000000
χ414444-4-4-244-2-2-24-4-4-4422-2-2-2-2-2222000000000000000000000000000000
χ424444-4-4-2-4-4-2-2-24-444-4222222-22-2-2000000000000000000000000000000
χ434-44-40044-4-4-4400000004-40000000000000000000000002i−2i2i−2i00000000
χ444-44-40044-4-4-4400000004-4000000000000000000000000−2i2i−2i2i00000000
χ454-44-4004-44-4-440000000-440000000000000000000000002i−2i−2i2i00000000
χ464-44-4004-44-4-440000000-44000000000000000000000000−2i2i2i−2i00000000
χ474-4-444-44004-4-4000004-40000000000000000000000000000002i−2i2i−2i0000
χ484-4-444-44004-4-4000004-4000000000000000000000000000000−2i2i−2i2i0000
χ494-4-44-444004-4-400000-440000000000000000000000000000002-2-220000
χ504-4-44-444004-4-400000-44000000000000000000000000000000-222-20000
χ5188-8-800800-88-8000000000000000000000000000000000000000000000
χ5288-8-800-4004-4400000000043−430000000000000000000000000000000000
χ5388-8-800-4004-44000000000−43430000000000000000000000000000000000
χ548-88-800-48-844-40000000-44000000000000000000000000000000000000
χ558-88-800-4-8844-400000004-4000000000000000000000000000000000000
χ568-8-888-8-400-44400000-4400000000000000000000000000000000000000
χ578-8-88-88-400-444000004-400000000000000000000000000000000000000

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