Finite Group Databasebeta

← Group #10695845

Character table — Group #10695845

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222444444444444888816161616161616161616161616161616161624242424484848484848
order122222366622444466661212612121224446688121212121212242424244444444488
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ41111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ611111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
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
χ9222222222222-2-2-2-22222-2-22-2-2-20000000000000000000000002-200
χ10222222222222-2-2-2-22222-2-22-2-2-2000000000000000000000000-2200
χ112222222222-2-22-22-222-2-222-22-2-200000000000000000000002-20000
χ122222222222-2-22-22-222-2-222-22-2-20000000000000000000000-220000
χ132222222222-2-2-22-2222-2-2-2-2-2-2222-2002200-2-2000000000000000000
χ142222222222-2-2-22-2222-2-2-2-2-2-222-2200-2-20022000000000000000000
χ15222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-10000000000
χ16222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-2-2-1-1-2-2-1-1111111110000000000
χ17222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-22211-2-211-1-1-1-111110000000000
χ18222222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-2-2-2-21122111111-1-1-1-10000000000
χ19222222-1-1-1-1-2-2-22-22-1-1111111-1-12-200-1-1001133−3−333−3−30000000000
χ20222222-1-1-1-1-2-2-22-22-1-1111111-1-12-200-1-10011−3−333−3−3330000000000
χ21222222-1-1-1-1-2-2-22-22-1-1111111-1-1-22001100-1-133−3−3−3−3330000000000
χ22222222-1-1-1-1-2-2-22-22-1-1111111-1-1-22001100-1-1−3−33333−3−30000000000
χ232222-2-222222-222-2-2-2-2-2-2-2-2222-2002i−2i0000002i−2i2i−2i00000000000000
χ242222-2-222222-222-2-2-2-2-2-2-2-2222-200−2i2i000000−2i2i−2i2i00000000000000
χ252222-2-222222-2-2-222-2-2-2-2222-2-2200000000000000000022-2-2000000
χ262222-2-222222-2-2-222-2-2-2-2222-2-22000000000000000000-2-222000000
χ272222-2-22222-222-2-22-2-222-2-2-22-22000000000000000000000000002-2
χ282222-2-22222-222-2-22-2-222-2-2-22-2200000000000000000000000000-22
χ292222-2-22222-22-222-2-2-22222-2-22-20000002-20000002-22-20000000000
χ302222-2-22222-22-222-2-2-22222-2-22-2000000-22000000-22-220000000000
χ312222-2-2-1-1-1-12-222-2-2111111-1-1-11002i−2i−i3i300−i3i3−ii−ii3−3−330000000000
χ322222-2-2-1-1-1-12-222-2-2111111-1-1-11002i−2ii3−i300i3−i3−ii−ii−333−30000000000
χ332222-2-2-1-1-1-12-222-2-2111111-1-1-1100−2i2i−i3i300−i3i3i−ii−i−333−30000000000
χ342222-2-2-1-1-1-12-222-2-2111111-1-1-1100−2i2ii3−i300i3−i3i−ii−i3−3−330000000000
χ352222-2-2-1-1-1-1-22-222-211-1-1-1-111-110000−i3i32-2i3−i3−i3i3i3−i3-11-110000000000
χ362222-2-2-1-1-1-1-22-222-211-1-1-1-111-110000−i3i3-22i3−i3i3−i3−i3i31-11-10000000000
χ372222-2-2-1-1-1-1-22-222-211-1-1-1-111-110000i3−i32-2−i3i3i3−i3−i3i3-11-110000000000
χ382222-2-2-1-1-1-1-22-222-211-1-1-1-111-110000i3−i3-22−i3i3−i3i3i3−i31-11-10000000000
χ39444444-2-2-2-244-4-4-4-4-2-2-2-222-22220000000000000000000000000000
χ40444444-2-2-2-2-4-44-44-4-2-222-2-22-2220000000000000000000000000000
χ414444-4-4-2-2-2-24-4-4-4442222-2-2-222-20000000000000000000000000000
χ424444-4-4-2-2-2-2-444-4-4422-2-2222-22-20000000000000000000000000000
χ434-44-44-44-44-40000004-4000000000000000000000000002i−2i2i−2i000000
χ444-44-44-44-44-40000004-400000000000000000000000000−2i2i−2i2i000000
χ454-44-4-444-44-4000000-44000000000000000000000000002i−2i−2i2i000000
χ464-44-4-444-44-4000000-4400000000000000000000000000−2i2i2i−2i000000
χ4788-8-80088-8-800000000000000000000000000000000000000000000
χ4888-8-800-4-444000000000043−4300000000000000000000000000000000
χ4988-8-800-4-4440000000000−434300000000000000000000000000000000
χ508-88-88-8-44-44000000-44000000000000000000000000000000000000
χ518-88-8-88-44-440000004-4000000000000000000000000000000000000
χ528-8-88008-8-8800000000000000000000000000000000000000000000
χ538-8-8800-444-400000000−4i34i30000000000000000000000000000000000
χ548-8-8800-444-4000000004i3−4i30000000000000000000000000000000000

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