Finite Group Databasebeta

← Group #10697399

Character table — Group #10697399

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222444444444444888816161616161616161616161616161616161624242424484848484848
order1222344666244444121212121212612121224446688121212121212242424244444248888
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ611111111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ711111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ922222222222-22-2-2-2-2-222-2-22-2-220000000000000000000000002-200
χ1022222222222-22-2-2-2-2-222-2-22-2-22000000000000000000000000-2200
χ112222222222-22-2-2-222222-2-2-22-2-200000000000000000000002-20000
χ122222222222-22-2-2-222222-2-2-22-2-20000000000000000000000-220000
χ132222222222-2-2-222-2-2-22222-2-22-2002-20000-2-2002200000000000000
χ142222222222-2-2-222-2-2-22222-2-22-200-2200002200-2-200000000000000
χ1522222-2-222222-2-22-222-2-2222-2-2-20000002-200000022-2-20000000000
χ1622222-2-222222-2-22-222-2-2222-2-2-2000000-22000000-2-2220000000000
χ1722222-2-22222-2-22-22-2-2-2-2-2-2222-2000000000000000000000000002-2
χ1822222-2-22222-2-22-22-2-2-2-2-2-2222-200000000000000000000000000-22
χ1922222-2-2222-2222-2-222-2-2-2-2-2-2220000000000000000002i2i−2i−2i000000
χ2022222-2-2222-2222-2-222-2-2-2-2-2-222000000000000000000−2i−2i2i2i000000
χ2122222-2-2222-2-22-222-2-2-2-222-22-222-200220000-2-20000000000000000
χ2222222-2-2222-2-22-222-2-2-2-222-22-22-2200-2-20000220000000000000000
χ232222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-10000000000
χ242222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-122-2-2-1-1-2-211-1-11111110000000000
χ252222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-22211-2-2-1-111-1-111110000000000
χ262222-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-10000000000
χ272222-122-1-1-1-2-2-222-211-1-1-1-111-11002-2−i3i30011−i3i3-1-1−i3i3−i3i30000000000
χ282222-122-1-1-1-2-2-222-211-1-1-1-111-11002-2i3−i30011i3−i3-1-1i3−i3i3−i30000000000
χ292222-122-1-1-1-2-2-222-211-1-1-1-111-1100-22−i3i300-1-1−i3i311i3−i3i3−i30000000000
χ302222-122-1-1-1-2-2-222-211-1-1-1-111-1100-22i3−i300-1-1i3−i311−i3i3−i3i30000000000
χ312222-1-2-2-1-1-122-2-22-2-1-111-1-1-11110000−i3i32-2−i3i3i3−i3−i3i3-1-1110000000000
χ322222-1-2-2-1-1-122-2-22-2-1-111-1-1-11110000−i3i3-22i3−i3i3−i3i3−i311-1-10000000000
χ332222-1-2-2-1-1-122-2-22-2-1-111-1-1-11110000i3−i32-2i3−i3−i3i3i3−i3-1-1110000000000
χ342222-1-2-2-1-1-122-2-22-2-1-111-1-1-11110000i3−i3-22−i3i3−i3i3−i3i311-1-10000000000
χ352222-1-2-2-1-1-1-2-22-2221111-1-11-11-12-200-1-100−i3i311i3−i3i3−i3−i3i30000000000
χ362222-1-2-2-1-1-1-2-22-2221111-1-11-11-12-200-1-100i3−i311−i3i3−i3i3i3−i30000000000
χ372222-1-2-2-1-1-1-2-22-2221111-1-11-11-1-22001100−i3i3-1-1i3−i3−i3i3i3−i30000000000
χ382222-1-2-2-1-1-1-2-22-2221111-1-11-11-1-22001100i3−i3-1-1−i3i3i3−i3−i3i30000000000
χ394444-244-2-2-24-44-4-4-422-2-222-222-20000000000000000000000000000
χ404444-244-2-2-2-44-4-4-44-2-2-2-2222-2220000000000000000000000000000
χ414444-2-4-4-2-2-24-4-44-44222222-2-2-220000000000000000000000000000
χ424444-2-4-4-2-2-2-4444-4-4-2-2222222-2-20000000000000000000000000000
χ434-44-444-4-4-44000000004-40000000000000000000000002i−2i2i−2i000000
χ444-44-444-4-4-44000000004-4000000000000000000000000−2i2i−2i2i000000
χ454-44-44-44-4-4400000000-440000000000000000000000002-2-22000000
χ464-44-44-44-4-4400000000-44000000000000000000000000-222-2000000
χ4788-8-88008-8-800000000000000000000000000000000000000000000
χ4888-8-8-400-4440000000000−4i34i300000000000000000000000000000000
χ4988-8-8-400-44400000000004i3−4i300000000000000000000000000000000
χ508-88-8-48-844-400000000-440000000000000000000000000000000000
χ518-88-8-4-8844-4000000004-40000000000000000000000000000000000
χ528-8-88800-88-800000000000000000000000000000000000000000000
χ538-8-88-4004-4400000043−43000000000000000000000000000000000000
χ548-8-88-4004-44000000−4343000000000000000000000000000000000000

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