Finite Group Databasebeta

← Group #10714314

Character table — Group #10714314

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444488888888888888888888888816161616161616161624242424484848484848
order12222236666666222244444444666612121212121212121212121212124441212121212122244444488
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-111-1-11111-1-111-1-1
χ611111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-111-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1
χ9222222222222222-22-2-2-200220022-2-2-2-200000000222200-200-2-2000000000000
χ10222222222222222-22-2-2-200-2-20022-2-2-2-200000000-2-2-2-20020022000000000000
χ1122222222222222-22-22-2-2220000-2-222-2-20000222200000-20-2-200000000000000
χ1222222222222222-22-22-2-2-2-20000-2-222-2-20000-2-2-2-200000202200000000000000
χ1322222222222222-2-2-2-222000022-2-2-2-222222200000000-2000000-2-20000000000
χ1422222222222222-2-2-2-2220000-2-2-2-2-2-222-2-2-2-2000000002000000220000000000
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
χ16222222-1-1-1-1-1-1-1-122222222-2-2-2-2-1-1-1-1-1-11111-1-1-1-11111-22-2-1-111110000000000
χ17222222-1-1-1-1-1-1-1-1222222-2-222-2-2-1-1-1-1-1-111111111-1-1-1-1-2-2211-1-1110000000000
χ18222222-1-1-1-1-1-1-1-1222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1111111112-2-21111-1-10000000000
χ19222222-1-1-1-1-1-1-1-12-22-2-2-2002200-1-11111−i3−i3i3i3−i3−i3i3i3-1-1-1-100-2−i3i311−i3i30000000000
χ20222222-1-1-1-1-1-1-1-12-22-2-2-2002200-1-11111i3i3−i3−i3i3i3−i3−i3-1-1-1-100-2i3−i311i3−i30000000000
χ21222222-1-1-1-1-1-1-1-12-22-2-2-200-2-200-1-11111−i3−i3i3i3i3i3−i3−i31111002i3−i3-1-1−i3i30000000000
χ22222222-1-1-1-1-1-1-1-12-22-2-2-200-2-200-1-11111i3i3−i3−i3−i3−i3i3i31111002−i3i3-1-1i3−i30000000000
χ23222222-1-1-1-1-1-1-1-1-22-22-2-222000011-1-111−i3−i3i3i3-1-1-1-1−i3−i3i3i30-2011−i3i3i3−i30000000000
χ24222222-1-1-1-1-1-1-1-1-22-22-2-222000011-1-111i3i3−i3−i3-1-1-1-1i3i3−i3−i30-2011i3−i3−i3i30000000000
χ25222222-1-1-1-1-1-1-1-1-22-22-2-2-2-2000011-1-111−i3−i3i3i31111i3i3−i3−i3020-1-1i3−i3i3−i30000000000
χ26222222-1-1-1-1-1-1-1-1-22-22-2-2-2-2000011-1-111i3i3−i3−i31111−i3−i3i3i3020-1-1−i3i3−i3i30000000000
χ27222222-1-1-1-1-1-1-1-1-2-2-2-2220000221111-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i3-200i3−i3i3−i3110000000000
χ28222222-1-1-1-1-1-1-1-1-2-2-2-2220000221111-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i3-200−i3i3−i3i3110000000000
χ29222222-1-1-1-1-1-1-1-1-2-2-2-2220000-2-21111-1-11111−i3−i3i3i3i3i3−i3−i3200i3−i3−i3i3-1-10000000000
χ30222222-1-1-1-1-1-1-1-1-2-2-2-2220000-2-21111-1-11111i3i3−i3−i3−i3−i3i3i3200−i3i3i3−i3-1-10000000000
χ312-2-222-2222-22-2-2-222-2-22-20000002-22-22-20000000000000000000002-22-2000000
χ322-2-222-2222-22-2-2-222-2-22-20000002-22-22-2000000000000000000000-22-22000000
χ332-2-222-2222-22-2-2-22-2-22-220000002-2-22-220000000000000000000000000002i−2i00
χ342-2-222-2222-22-2-2-22-2-22-220000002-2-22-22000000000000000000000000000−2i2i00
χ352-2-222-2222-22-2-2-2-222-2-22000000-222-2-2200000000000000000000000002i−2i0000
χ362-2-222-2222-22-2-2-2-222-2-22000000-222-2-220000000000000000000000000−2i2i0000
χ372-2-222-2222-22-2-2-2-2-2222-2000000-22-222-2000000000000000000000000000002i−2i
χ382-2-222-2222-22-2-2-2-2-2222-2000000-22-222-200000000000000000000000000000−2i2i
χ394444-4-44-4-444-4-4400000000000000000000000000000000000000022-2-2000000
χ404444-4-44-4-444-4-44000000000000000000000000000000000000000-2-222000000
χ414-44-400400-4-40040000002-22-22-20000002-22-22-22-22-22-20000000000000000000
χ424-44-400400-4-40040000002-2-22-22000000-22-222-22-2-22-220000000000000000000
χ434-44-400400-4-4004000000-222-2-22000000-22-22-22-222-22-20000000000000000000
χ444-44-400400-4-4004000000-22-222-20000002-22-2-22-22-22-220000000000000000000
χ454-44-400-2−2i32i322−2i32i3-20000002-22-22-2000000−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i30000000000000000000
χ464-44-400-2−2i32i322−2i32i3-20000002-2-22-220000001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i30000000000000000000
χ474-44-400-2−2i32i322−2i32i3-2000000-222-2-220000001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i30000000000000000000
χ484-44-400-2−2i32i322−2i32i3-2000000-22-222-2000000−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i30000000000000000000
χ494-44-400-22i3−2i3222i3−2i3-20000002-22-22-2000000−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i30000000000000000000
χ504-44-400-22i3−2i3222i3−2i3-20000002-2-22-220000001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i30000000000000000000
χ514-44-400-22i3−2i3222i3−2i3-2000000-222-2-220000001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i30000000000000000000
χ524-44-400-22i3−2i3222i3−2i3-2000000-22-222-2000000−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i30000000000000000000
χ534-4-444-4-2-2-22-222244-4-44-4000000-22-22-220000000000000000000000000000000
χ544-4-444-4-2-2-22-22224-4-44-44000000-222-22-20000000000000000000000000000000
χ554-4-444-4-2-2-22-2222-444-4-440000002-2-222-20000000000000000000000000000000
χ564-4-444-4-2-2-22-2222-4-4444-40000002-22-2-220000000000000000000000000000000
χ574-4-44-444-4-4-4444-40000000000000000000000000000000000000002-2-22000000
χ584-4-44-444-4-4-4444-4000000000000000000000000000000000000000-222-2000000
χ598888-8-8-444-4-444-40000000000000000000000000000000000000000000000000
χ6088-8-8008008-800-80000000000000000000000000000000000000000000000000
χ6188-8-800-4−4i34i3-444i3−4i340000000000000000000000000000000000000000000000000
χ6288-8-800-44i3−4i3-44−4i34i340000000000000000000000000000000000000000000000000
χ638-8-88-88-4444-4-4-440000000000000000000000000000000000000000000000000

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