Finite Group Databasebeta

← Group #11713934

Character table — Group #11713934

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order12222244222222224224436666666222246666666612121212888888882444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111-1-111111111-1-1-1-1-111111-1-1-1-1111-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-1
χ61111-1-111111111-1-1-1-1-111111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111-1-111-11-11
χ71111-1-1111111-1-111-1-1-111111-1-1-1-11-1-111-1-1-1-1-1111111-1-111-1-111-1-1-11-11
χ81111-1-1111111-1-111-1-1-111111-1-1-1-11-1-111-1-1-1-1-1111111-1-1-1-111-1-1111-11-1
χ9222222222222222222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ10222222222222-2-2-2-222222-1-1-1-1-1-1-1-1-2-2-2-2211111111-1-1-1-1000000000000
χ11222222-2-222220000-222-2-2222222220000-200000000-2-2-2-2000000000000
χ12222222-2-222220000-222-2-2-1-1-1-1-1-1-1-10000-2−i3−i3i3i3−i3−i3i3i31111000000000000
χ13222222-2-222220000-222-2-2-1-1-1-1-1-1-1-10000-2i3i3−i3−i3i3i3−i3−i31111000000000000
χ142222-2-222222222-2-2-2-2-222-1-1-11111-122-2-2-2-1-1-1-11111-1-111000000000000
χ152222-2-2222222-2-222-2-2-222-1-1-11111-1-2-222-21111-1-1-1-1-1-111000000000000
χ162222-2-2-2-2222200002-2-2-2-2222-2-2-2-220000200000000-2-222000000000000
χ172222-2-2-2-2222200002-2-2-2-2-1-1-11111-100002−i3−i3i3i3i3i3−i3−i311-1-1000000000000
χ182222-2-2-2-2222200002-2-2-2-2-1-1-11111-100002i3i3−i3−i3−i3−i3i3i311-1-1000000000000
χ192-22-2002-22-22-2002-20002-22-2-200002002-2000002-22-22-200000000000000
χ202-22-2002-22-22-2002-20002-2-111−i3−i3i3i3-1002-20−i3i3−i3i3-11-11-11−i3i3000000000000
χ212-22-2002-22-22-2002-20002-2-111i3i3−i3−i3-1002-20i3−i3i3−i3-11-11-11i3−i3000000000000
χ222-22-2002-22-22-200-220002-22-2-20000200-2200000-22-222-200000000000000
χ232-22-2002-22-22-200-220002-2-111−i3−i3i3i3-100-220i3−i3i3−i31-11-1-11−i3i3000000000000
χ242-22-2002-22-22-200-220002-2-111i3i3−i3−i3-100-220−i3i3−i3i31-11-1-11i3−i3000000000000
χ252-22-200-222-22-22-200000-222-2-2000022-20002-2-220000-2200000000000000
χ262-22-200-222-22-22-200000-22-111−i3−i3i3i3-12-2000-111-1−i3i3i3−i31-1i3−i3000000000000
χ272-22-200-222-22-22-200000-22-111i3i3−i3−i3-12-2000-111-1i3−i3−i3i31-1−i3i3000000000000
χ282-22-200-222-22-2-2200000-222-2-200002-22000-222-20000-2200000000000000
χ292-22-200-222-22-2-2200000-22-111−i3−i3i3i3-1-220001-1-11i3−i3−i3i31-1i3−i3000000000000
χ302-22-200-222-22-2-2200000-22-111i3i3−i3−i3-1-220001-1-11−i3i3i3−i31-1−i3i3000000000000
χ312-2-222-200-2-222000002-20022-22-22-2-2000000000000000002−22−22−22−20000
χ322-2-222-200-2-222000002-20022-22-22-2-200000000000000000−22−22−22−220000
χ332-2-22-2200-2-22200000-220022-2-22-22-2000000000000000002−2−222−2−220000
χ342-2-22-2200-2-22200000-220022-2-22-22-200000000000000000−222−2−222−20000
χ3533333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-10000000000001111-1-1-1-111-1-1
χ3633333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-1000000000000-1-1-1-11111-1-111
χ3733333333-1-1-1-1-3-3-3-33-1-1-1-1000000001111-10000000000001111-1-1-1-1-1-111
χ3833333333-1-1-1-1-3-3-3-33-1-1-1-1000000001111-1000000000000-1-1-1-1111111-1-1
χ393333-3-333-1-1-1-133-3-3-311-1-100000000-1-111100000000000011-1-1-1-1111-1-11
χ403333-3-333-1-1-1-133-3-3-311-1-100000000-1-1111000000000000-1-11111-1-1-111-1
χ413333-3-333-1-1-1-1-3-333-311-1-10000000011-1-1100000000000011-1-1-1-111-111-1
χ423333-3-333-1-1-1-1-3-333-311-1-10000000011-1-11000000000000-1-11111-1-11-1-11
χ4344-4-40000-444-40000000004-440000-400000000000000000000000000000
χ4444-4-40000-444-4000000000-22-2−2i32i32i3−2i3200000000000000000000000000000
χ4544-4-40000-444-4000000000-22-22i3−2i3−2i32i3200000000000000000000000000000
χ464-4-444-400-4-444000004-400-2-22-22-22200000000000000000000000000000
χ474-4-44-4400-4-44400000-4400-2-222-22-2200000000000000000000000000000
χ48666666-6-6-2-2-2-20000-6-2-2220000000000002000000000000000000000000
χ496666-6-6-6-6-2-2-2-2000062222000000000000-2000000000000000000000000
χ506-66-6006-6-22-22006-6000-220000000000-220000000000000000000000000
χ516-66-6006-6-22-2200-66000-2200000000002-20000000000000000000000000
χ526-66-600-66-22-226-6000002-200000000-22000000000000000000000000000
χ536-66-600-66-22-22-66000002-2000000002-2000000000000000000000000000
χ546-6-666-60022-2-200000-220000000000000000000000000002−22−2−22−220000
χ556-6-666-60022-2-200000-22000000000000000000000000000−22−222−22−20000
χ566-6-66-660022-2-2000002-20000000000000000000000000002−2−22−222−20000
χ576-6-66-660022-2-2000002-2000000000000000000000000000−222−22−2−220000
χ581212-12-1200004-4-440000000000000000000000000000000000000000000000

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