Finite Group Databasebeta

← Group #10714600

Character table — Group #10714600

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444488888888888888888888888816161616161616161624242424484848484848
order122222366666662222442222446666666666661212121212124441212121212124444444488
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-11111-1-111-1-1
χ611111111111111111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ9222222222222222-22-2-2-200220022-2-200002222-2-2000000-200-2-2000000000000
χ10222222222222222-22-2-2-200-2-20022-2-20000-2-2-2-2-2-200000020022000000000000
χ1122222222222222-22-22-2-2220000-2-22222220000-2-200000-20-2-200000000000000
χ1222222222222222-22-22-2-2-2-20000-2-222-2-2-2-20000-2-200000202200000000000000
χ1322222222222222-2-2-2-222000022-2-2-2-200000000222222-2000000-2-20000000000
χ1422222222222222-2-2-2-2220000-2-2-2-2-2-20000000022-2-2-2-22000000220000000000
χ15222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000
χ16222222-1-1-1-1-1-1-1-122222222-2-2-2-2-1-1-1-1-1-1-1-11111-1-11111-22-2-1-111110000000000
χ17222222-1-1-1-1-1-1-1-1222222-2-222-2-2-1-1-1-11111-1-1-1-1-1-11111-2-2211-1-1110000000000
χ18222222-1-1-1-1-1-1-1-1222222-2-2-2-222-1-1-1-111111111-1-1-1-1-1-12-2-21111-1-10000000000
χ19222222-1-1-1-1-1-1-1-12-22-2-2-2002200-1-111−i3−i3i3i3-1-1-1-111−i3−i3i3i300-2−i3i311−i3i30000000000
χ20222222-1-1-1-1-1-1-1-12-22-2-2-2002200-1-111i3i3−i3−i3-1-1-1-111i3i3−i3−i300-2i3−i311i3−i30000000000
χ21222222-1-1-1-1-1-1-1-12-22-2-2-200-2-200-1-111−i3−i3i3i3111111i3i3−i3−i3002−i3i3-1-1i3−i30000000000
χ22222222-1-1-1-1-1-1-1-12-22-2-2-200-2-200-1-111i3i3−i3−i3111111−i3−i3i3i3002i3−i3-1-1−i3i30000000000
χ23222222-1-1-1-1-1-1-1-1-22-22-2-222000011-1-1-1-1-1-1−i3−i3i3i311−i3−i3i3i30-2011−i3i3i3−i30000000000
χ24222222-1-1-1-1-1-1-1-1-22-22-2-222000011-1-1-1-1-1-1i3i3−i3−i311i3i3−i3−i30-2011i3−i3−i3i30000000000
χ25222222-1-1-1-1-1-1-1-1-22-22-2-2-2-2000011-1-11111−i3−i3i3i311i3i3−i3−i3020-1-1−i3i3−i3i30000000000
χ26222222-1-1-1-1-1-1-1-1-22-22-2-2-2-2000011-1-11111i3i3−i3−i311−i3−i3i3i3020-1-1i3−i3i3−i30000000000
χ27222222-1-1-1-1-1-1-1-1-2-2-2-2220000221111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-200i3−i3i3−i3110000000000
χ28222222-1-1-1-1-1-1-1-1-2-2-2-2220000221111i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-200−i3i3−i3i3110000000000
χ29222222-1-1-1-1-1-1-1-1-2-2-2-2220000-2-21111−i3−i3i3i3i3i3−i3−i3-1-11111200i3−i3−i3i3-1-10000000000
χ30222222-1-1-1-1-1-1-1-1-2-2-2-2220000-2-21111i3i3−i3−i3−i3−i3i3i3-1-11111200−i3i3i3−i3-1-10000000000
χ3122-2-2-222-22-2-222-222-2-2-220000002-22-2000000002-200000000000002i−2i2i−2i000000
χ3222-2-2-222-22-2-222-222-2-2-220000002-22-2000000002-20000000000000−2i2i−2i2i000000
χ3322-2-2-222-22-2-222-22-2-222-20000002-2-2200000000-2200000000000000000002i−2i00
χ3422-2-2-222-22-2-222-22-2-222-20000002-2-2200000000-220000000000000000000−2i2i00
χ3522-2-2-222-22-2-222-2-222-22-2000000-222-200000000-22000000000000000002i−2i0000
χ3622-2-2-222-22-2-222-2-222-22-2000000-222-200000000-2200000000000000000−2i2i0000
χ3722-2-2-222-22-2-222-2-2-222-22000000-22-22000000002-20000000000000000000002-2
χ3822-2-2-222-22-2-222-2-2-222-22000000-22-22000000002-2000000000000000000000-22
χ394444-4-4444-4-4-4-4400000000000000000000000000000000000000022-2-2000000
χ404444-4-4444-4-4-4-44000000000000000000000000000000000000000-2-222000000
χ4144-4-44-44-4444-4-4-40000000000000000000000000000000000000002i−2i−2i2i000000
χ4244-4-44-44-4444-4-4-4000000000000000000000000000000000000000−2i2i2i−2i000000
χ4344-4-4-44-22-222-2-2244-4-4-44000000-22-2200000000-2200000000000000000000000
χ4444-4-4-44-22-222-2-224-4-444-4000000-222-2000000002-200000000000000000000000
χ4544-4-4-44-22-222-2-22-444-44-40000002-2-22000000002-200000000000000000000000
χ4644-4-4-44-22-222-2-22-4-444-440000002-22-200000000-2200000000000000000000000
χ474-4-44004-4-4000040000002-22-22-200002-22-22-22-2002-22-20000000000000000000
χ484-4-44004-4-4000040000002-2-22-2200002-22-2-22-2200-22-220000000000000000000
χ494-4-44004-4-400004000000-222-2-220000-22-222-22-200-22-220000000000000000000
χ504-4-44004-4-400004000000-22-222-20000-22-22-22-22002-22-20000000000000000000
χ514-4-4400-222−2i32i3−2i32i3-20000002-22-22-20000−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300−1−i31+i3−1+i31−i30000000000000000000
χ524-4-4400-222−2i32i3−2i32i3-20000002-2-22-220000−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i3001+i3−1−i31−i3−1+i30000000000000000000
χ534-4-4400-222−2i32i3−2i32i3-2000000-222-2-2200001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i3001+i3−1−i31−i3−1+i30000000000000000000
χ544-4-4400-222−2i32i3−2i32i3-2000000-22-222-200001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i300−1−i31+i3−1+i31−i30000000000000000000
χ554-4-4400-2222i3−2i32i3−2i3-20000002-22-22-20000−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300−1+i31−i3−1−i31+i30000000000000000000
χ564-4-4400-2222i3−2i32i3−2i3-20000002-2-22-220000−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i3001−i3−1+i31+i3−1−i30000000000000000000
χ574-4-4400-2222i3−2i32i3−2i3-2000000-222-2-2200001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i3001−i3−1+i31+i3−1−i30000000000000000000
χ584-4-4400-2222i3−2i32i3−2i3-2000000-22-222-200001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i300−1+i31−i3−1−i31+i30000000000000000000
χ598888-8-8-4-4-44444-40000000000000000000000000000000000000000000000000
χ6088-8-88-8-44-4-4-44440000000000000000000000000000000000000000000000000
χ618-88-80088-80000-80000000000000000000000000000000000000000000000000
χ628-88-800-4-44−4i34i34i3−4i340000000000000000000000000000000000000000000000000
χ638-88-800-4-444i3−4i3−4i34i340000000000000000000000000000000000000000000000000

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