Finite Group Databasebeta

← Group #10698445

Character table — Group #10698445

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222224444444444444444888888888888881616161616161616161616164848484848484848
order122222366622222266666666662244666666121212124444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ811111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ922222222222-2-22-2-222-2-2-2-222220000-2-2000000002-20022-2-2000000000000
χ1022222222222-2-22-2-222-2-2-2-222220000-2-200000000-2200-2-222000000000000
χ112222222222-22-2-22-2-2-222-2-222-2-200002-200000000000000000000002-20000
χ122222222222-22-2-22-2-2-222-2-222-2-200002-20000000000000000000000-220000
χ132222222222-2-22-2-22-2-2-2-22222-2-20000-22000000000000000000002-2000000
χ142222222222-2-22-2-22-2-2-2-22222-2-20000-2200000000000000000000-22000000
χ15222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ16222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000
χ17222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111122-2-2-1-1-1-1111100000000
χ18222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111-2-2221111-1-1-1-100000000
χ19222222-1-1-1-12-2-22-2-2-1-11111-1-1-1-1000011−i3−i3i3i3−i3−i3i3i32-200-1-111−i3−i3i3i300000000
χ20222222-1-1-1-12-2-22-2-2-1-11111-1-1-1-1000011−i3−i3i3i3−i3−i3i3i3-220011-1-1i3i3−i3−i300000000
χ21222222-1-1-1-12-2-22-2-2-1-11111-1-1-1-1000011i3i3−i3−i3i3i3−i3−i32-200-1-111i3i3−i3−i300000000
χ22222222-1-1-1-12-2-22-2-2-1-11111-1-1-1-1000011i3i3−i3−i3i3i3−i3−i3-220011-1-1−i3−i3i3i300000000
χ232222-2-22222222-2-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-200000000000000000000
χ242222-2-22222222-2-2-2222222-2-2-2-2-2-222-2-2-2-2-2-2222200000000000000000000
χ252222-2-222222-2-2-22222-2-2-2-2-2-2-2-200002200000000002i−2i00002i−2i2i−2i00000000
χ262222-2-222222-2-2-22222-2-2-2-2-2-2-2-20000220000000000−2i2i0000−2i2i−2i2i00000000
χ272222-2-22222-22-22-22-2-222-2-2-2-2220000-22000000000000000000000000002i−2i
χ282222-2-22222-22-22-22-2-222-2-2-2-2220000-2200000000000000000000000000−2i2i
χ292222-2-22222-2-2222-2-2-2-2-222-2-22200002-20000000000000000000000002i−2i00
χ302222-2-22222-2-2222-2-2-2-2-222-2-22200002-2000000000000000000000000−2i2i00
χ312222-2-2-1-1-1-1222-2-2-2-1-1-1-1-1-1111122-2-211-1-1-1-1111100003−33−33−3−3300000000
χ322222-2-2-1-1-1-1222-2-2-2-1-1-1-1-1-1111122-2-211-1-1-1-111110000−33−33−333−300000000
χ332222-2-2-1-1-1-1222-2-2-2-1-1-1-1-1-11111-2-222111111-1-1-1-100003−33−3−333−300000000
χ342222-2-2-1-1-1-1222-2-2-2-1-1-1-1-1-11111-2-222111111-1-1-1-10000−33−333−3−3300000000
χ352222-2-2-1-1-1-12-2-2-222-1-1111111110000-1-1−i3−i3i3i3i3i3−i3−i3002i−2i3−3−33−ii−ii00000000
χ362222-2-2-1-1-1-12-2-2-222-1-1111111110000-1-1−i3−i3i3i3i3i3−i3−i300−2i2i−333−3i−ii−i00000000
χ372222-2-2-1-1-1-12-2-2-222-1-1111111110000-1-1i3i3−i3−i3−i3−i3i3i3002i−2i−333−3−ii−ii00000000
χ382222-2-2-1-1-1-12-2-2-222-1-1111111110000-1-1i3i3−i3−i3−i3−i3i3i300−2i2i3−3−33i−ii−i00000000
χ39444444-2-2-2-2-44-4-44-422-2-222-2-2220000-220000000000000000000000000000
χ40444444-2-2-2-2-4-44-4-442222-2-2-2-22200002-20000000000000000000000000000
χ414444-4-4-2-2-2-2-44-44-4422-2-22222-2-200002-20000000000000000000000000000
χ424444-4-4-2-2-2-2-4-4444-42222-2-222-2-20000-220000000000000000000000000000
χ434-4-444-44-4-440000000000004-4002-22-2002-22-22-22-200000000000000000000
χ444-4-444-44-4-440000000000004-400-22-2200-22-22-22-2200000000000000000000
χ454-4-444-4-222-2000000−2i32i30000-22−2i32i32-22-200−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300000000000000000000
χ464-4-444-4-222-2000000−2i32i30000-22−2i32i3-22-22001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i300000000000000000000
χ474-4-444-4-222-20000002i3−2i30000-222i3−2i32-22-200−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300000000000000000000
χ484-4-444-4-222-20000002i3−2i30000-222i3−2i3-22-22001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i300000000000000000000
χ494-4-44-444-4-44000000000000-44002-2-22002-22-2-22-2200000000000000000000
χ504-4-44-444-4-44000000000000-4400-222-200-22-222-22-200000000000000000000
χ514-4-44-44-222-2000000−2i32i300002-22i3−2i32-2-2200−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000
χ524-4-44-44-222-2000000−2i32i300002-22i3−2i3-222-2001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000
χ534-4-44-44-222-20000002i3−2i300002-2−2i32i32-2-2200−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000
χ544-4-44-44-222-20000002i3−2i300002-2−2i32i3-222-2001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000
χ5588-8-80088-8-800000000000000000000000000000000000000000000000000
χ5688-8-800-4-4440000000000−4i34i300000000000000000000000000000000000000
χ5788-8-800-4-44400000000004i3−4i300000000000000000000000000000000000000
χ588-88-8008-88-800000000000000000000000000000000000000000000000000
χ598-88-800-44-4400000000−4i34i30000000000000000000000000000000000000000
χ608-88-800-44-44000000004i3−4i30000000000000000000000000000000000000000

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