Finite Group Databasebeta

← Group #10828462

Character table — Group #10828462

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1222222222223444444446666666666666664444444412121212121212121212121212121212121212121212121244444444121212121212121212121212121212122222444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ61111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ71111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ81111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ911111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1411111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1511111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1722222222222222222-2-2-2-2222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22211111111-1-1-1-1-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ22222222222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22211111111-1-1-1-1-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ23222222222222-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222222222-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-21111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-21111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2722222222-2-2-2-222222-2-2-2-2222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-222222222-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2922222222-2-2-2-2-122222222-1-1-111111111-1-1-1-1-2-222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-122222222-1-1-111111111-1-1-1-1-2-222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-12222-2-2-2-2-1-1-111111111-1-1-1-122-2-222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3222222222-2-2-2-2-12222-2-2-2-2-1-1-111111111-1-1-1-122-2-222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3322222222-2-2-2-2-1-2-2-2-22222-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3422222222-2-2-2-2-1-2-2-2-22222-1-1-111111111-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-111111111-1-1-1-12222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-111111111-1-1-1-12222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ37222-2-2-2-2222-2-2222-2-2000022-22222-2-2-2-22-2-2-20000002-20000000022-2-222-2-20000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ38222-2-2-2-2222-2-2222-2-2000022-22222-2-2-2-22-2-2-20000002-20000000022-2-222-2-20000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ39222-2-2-2-2222-2-22-2-222000022-22222-2-2-2-22-2-2-2000000-2200000000-2-222-2-2220000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ40222-2-2-2-2222-2-22-2-222000022-22222-2-2-2-22-2-2-2000000-2200000000-2-222-2-2220000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ41222-2-2-2-22-2-222222-2-2000022-2-2-2-2-222222-2-2-2000000-220000000022-2-2-2-2220000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ42222-2-2-2-22-2-222222-2-2000022-2-2-2-2-222222-2-2-2000000-220000000022-2-2-2-2220000000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ43222-2-2-2-22-2-2222-2-222000022-2-2-2-2-222222-2-2-20000002-200000000-2-22222-2-20000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ44222-2-2-2-22-2-2222-2-222000022-2-2-2-2-222222-2-2-20000002-200000000-2-22222-2-20000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ4522-2-222-2-2000022i−2i2i−2i22-2-22-2-200000000-222-2002i−2i000022-2-200002i−2i2i−2i00002i2i−2i−2i0000002-2002i−2i00002-22-200002i−2i2i−2i0000000000000000
χ4622-2-222-2-2000022i−2i2i−2i22-2-22-2-200000000-222-2002i−2i000022-2-200002i−2i2i−2i00002i2i−2i−2i000000-2200−2i2i0000-22-220000−2i2i−2i2i0000000000000000
χ4722-2-222-2-2000022i−2i2i−2i-2-2222-2-200000000-222-200−2i2i0000-2-22200002i−2i2i−2i0000−2i−2i2i2i00002-2002i−2i002-22-200002i−2i2i−2i00000000000000000000
χ4822-2-222-2-2000022i−2i2i−2i-2-2222-2-200000000-222-200−2i2i0000-2-22200002i−2i2i−2i0000−2i−2i2i2i0000-2200−2i2i00-22-220000−2i2i−2i2i00000000000000000000
χ4922-2-222-2-200002−2i2i−2i2i22-2-22-2-200000000-222-200−2i2i000022-2-20000−2i2i−2i2i0000−2i−2i2i2i0000002-200−2i2i00002-22-20000−2i2i−2i2i0000000000000000
χ5022-2-222-2-200002−2i2i−2i2i22-2-22-2-200000000-222-200−2i2i000022-2-20000−2i2i−2i2i0000−2i−2i2i2i000000-22002i−2i0000-22-2200002i−2i2i−2i0000000000000000
χ5122-2-222-2-200002−2i2i−2i2i-2-2222-2-200000000-222-2002i−2i0000-2-2220000−2i2i−2i2i00002i2i−2i−2i00002-200−2i2i002-22-20000−2i2i−2i2i00000000000000000000
χ5222-2-222-2-200002−2i2i−2i2i-2-2222-2-200000000-222-2002i−2i0000-2-2220000−2i2i−2i2i00002i2i−2i−2i0000-22002i−2i00-22-2200002i−2i2i−2i00000000000000000000
χ5322-2-222-2-20000-12i−2i2i−2i22-2-2-111−i3−i3i3i3−i3−i3i3i31-1-11002i−2i0000-1-111−i3−i3i3i3−ii−ii3−33−3−i−iii33−3−3002-2002i−2i−i3i3i3−i3-11-113−3−33−ii−ii0000000000000000
χ5422-2-222-2-20000-12i−2i2i−2i22-2-2-111−i3−i3i3i3−i3−i3i3i31-1-11002i−2i0000-1-111−i3−i3i3i3−ii−ii3−33−3−i−iii33−3−300-2200−2i2ii3−i3−i3i31-11-1−333−3i−ii−i0000000000000000
χ5522-2-222-2-20000-12i−2i2i−2i22-2-2-111i3i3−i3−i3i3i3−i3−i31-1-11002i−2i0000-1-111i3i3−i3−i3−ii−ii−33−33−i−iii−3−333002-2002i−2ii3−i3−i3i3-11-11−333−3−ii−ii0000000000000000
χ5622-2-222-2-20000-12i−2i2i−2i22-2-2-111i3i3−i3−i3i3i3−i3−i31-1-11002i−2i0000-1-111i3i3−i3−i3−ii−ii−33−33−i−iii−3−33300-2200−2i2i−i3i3i3−i31-11-13−3−33i−ii−i0000000000000000
χ5722-2-222-2-20000-12i−2i2i−2i-2-222-111−i3−i3i3i3−i3−i3i3i31-1-1100−2i2i000011-1-1i3i3−i3−i3−ii−ii3−33−3ii−i−i−3−3332-2002i−2i00-11-11−i3i3i3−i3−ii−ii3−3−330000000000000000
χ5822-2-222-2-20000-12i−2i2i−2i-2-222-111−i3−i3i3i3−i3−i3i3i31-1-1100−2i2i000011-1-1i3i3−i3−i3−ii−ii3−33−3ii−i−i−3−333-2200−2i2i001-11-1i3−i3−i3i3i−ii−i−333−30000000000000000
χ5922-2-222-2-20000-12i−2i2i−2i-2-222-111i3i3−i3−i3i3i3−i3−i31-1-1100−2i2i000011-1-1−i3−i3i3i3−ii−ii−33−33ii−i−i33−3−32-2002i−2i00-11-11i3−i3−i3i3−ii−ii−333−30000000000000000
χ6022-2-222-2-20000-12i−2i2i−2i-2-222-111i3i3−i3−i3i3i3−i3−i31-1-1100−2i2i000011-1-1−i3−i3i3i3−ii−ii−33−33ii−i−i33−3−3-2200−2i2i001-11-1−i3i3i3−i3i−ii−i3−3−330000000000000000
χ6122-2-222-2-20000-1−2i2i−2i2i22-2-2-111−i3−i3i3i3−i3−i3i3i31-1-1100−2i2i0000-1-111−i3−i3i3i3i−ii−i−33−33ii−i−i−3−333002-200−2i2i−i3i3i3−i3-11-11−333−3i−ii−i0000000000000000
χ6222-2-222-2-20000-1−2i2i−2i2i22-2-2-111−i3−i3i3i3−i3−i3i3i31-1-1100−2i2i0000-1-111−i3−i3i3i3i−ii−i−33−33ii−i−i−3−33300-22002i−2ii3−i3−i3i31-11-13−3−33−ii−ii0000000000000000
χ6322-2-222-2-20000-1−2i2i−2i2i22-2-2-111i3i3−i3−i3i3i3−i3−i31-1-1100−2i2i0000-1-111i3i3−i3−i3i−ii−i3−33−3ii−i−i33−3−3002-200−2i2ii3−i3−i3i3-11-113−3−33i−ii−i0000000000000000
χ6422-2-222-2-20000-1−2i2i−2i2i22-2-2-111i3i3−i3−i3i3i3−i3−i31-1-1100−2i2i0000-1-111i3i3−i3−i3i−ii−i3−33−3ii−i−i33−3−300-22002i−2i−i3i3i3−i31-11-1−333−3−ii−ii0000000000000000
χ6522-2-222-2-20000-1−2i2i−2i2i-2-222-111−i3−i3i3i3−i3−i3i3i31-1-11002i−2i000011-1-1i3i3−i3−i3i−ii−i−33−33−i−iii33−3−32-200−2i2i00-11-11−i3i3i3−i3i−ii−i−333−30000000000000000
χ6622-2-222-2-20000-1−2i2i−2i2i-2-222-111−i3−i3i3i3−i3−i3i3i31-1-11002i−2i000011-1-1i3i3−i3−i3i−ii−i−33−33−i−iii33−3−3-22002i−2i001-11-1i3−i3−i3i3−ii−ii3−3−330000000000000000
χ6722-2-222-2-20000-1−2i2i−2i2i-2-222-111i3i3−i3−i3i3i3−i3−i31-1-11002i−2i000011-1-1−i3−i3i3i3i−ii−i3−33−3−i−iii−3−3332-200−2i2i00-11-11i3−i3−i3i3i−ii−i3−3−330000000000000000
χ6822-2-222-2-20000-1−2i2i−2i2i-2-222-111i3i3−i3−i3i3i3−i3−i31-1-11002i−2i000011-1-1−i3−i3i3i3i−ii−i3−33−3−i−iii−3−333-22002i−2i001-11-1−i3i3i3−i3−ii−ii−333−30000000000000000
χ692-2-2-22-2222-22-2200002-22-2-2-2-22-22-22-22-222-222-20000002-22-22-22-20000000000000000000000000000000000000000002-2002-200000000
χ702-2-2-22-2222-22-2200002-22-2-2-2-22-22-22-22-222-222-20000002-22-22-22-2000000000000000000000000000000000000000000-2200-2200000000
χ712-2-2-22-2222-22-220000-22-22-2-2-22-22-22-22-222-22-22000000-22-22-22-2200000000000000000000000000000000000000002-2002-20000000000
χ722-2-2-22-2222-22-220000-22-22-2-2-22-22-22-22-222-22-22000000-22-22-22-220000000000000000000000000000000000000000-2200-220000000000
χ732-2-2-22-222-22-22200002-22-2-2-2-2-22-22-22-2222-22-220000002-22-2-22-220000000000000000000000000000000000000000002-200-2200000000
χ742-2-2-22-222-22-22200002-22-2-2-2-2-22-22-22-2222-22-220000002-22-2-22-22000000000000000000000000000000000000000000-22002-200000000
χ752-2-2-22-222-22-2220000-22-22-2-2-2-22-22-22-2222-222-2000000-22-222-22-200000000000000000000000000000000000000002-200-220000000000
χ762-2-2-22-222-22-2220000-22-22-2-2-2-22-22-22-2222-222-2000000-22-222-22-20000000000000000000000000000000000000000-22002-20000000000
χ77444-4-4-4-4444-4-4-244-4-40000-2-22-2-2-2-22222-22220000004-400000000-2-222-2-222000000000000000000000000000000000000000000000000
χ78444-4-4-4-4444-4-4-2-4-4440000-2-22-2-2-2-22222-2222000000-440000000022-2-222-2-2000000000000000000000000000000000000000000000000
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χ80444-4-4-4-44-4-444-2-4-4440000-2-222222-2-2-2-2-22220000004-40000000022-2-2-2-222000000000000000000000000000000000000000000000000
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χ8344-44-4-44-40000-24i−4i−4i4i0000-22-2−2i3−2i32i32i32i32i3−2i3−2i3222-20000000000000000−2i2i2i−2i23−23−2323000000000000000000000000000000000000000000000000
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χ924-4444-4-4-40000-20000-444-42-2-22i3−2i3−2i32i32i3−2i3−2i32i32-222000000002-2-22−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ934-44-4-444-40000400000000-44-400000000-4-44400004-400000000000000000000004-44-40000000000000000000000000000000000000000
χ944-44-4-444-40000400000000-44-400000000-4-4440000-440000000000000000000000-44-440000000000000000000000000000000000000000
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χ964-44-4-444-40000-2000000002-22−2i32i32i3−2i32i3−2i3−2i32i322-2-20000-440000000000000000002i3−2i32i3−2i32-22-20000000000000000000000000000000000000000
χ974-44-4-444-40000-2000000002-222i3−2i3−2i32i3−2i32i32i3−2i322-2-200004-40000000000000000002i3−2i32i3−2i3-22-220000000000000000000000000000000000000000
χ984-44-4-444-40000-2000000002-222i3−2i3−2i32i3−2i32i32i3−2i322-2-20000-44000000000000000000−2i32i3−2i32i32-22-20000000000000000000000000000000000000000
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χ1014-4-44-44-444-4-44-20000000022-2-22-222-22-2-22-22000000000000000000000000−232323−23−232323−230000000000000000000000000000000000000000
χ1024-4-44-44-44-444-4400000000-4-44-44-444-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-44-44-444-4-20000000022-22-22-2-22-22-22-2200000000000000000000000023−23−2323−232323−230000000000000000000000000000000000000000
χ1044-4-44-44-44-444-4-20000000022-22-22-2-22-22-22-22000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000
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χ1074-4-4-44-444-44-44-200004-44-42222-22-22-22-2-2-22-2-44000000-22-222-22-200000000000000000000000000000000000000000000000000000000
χ1084-4-4-44-444-44-44-20000-44-442222-22-22-22-2-2-22-24-40000002-22-2-22-2200000000000000000000000000000000000000000000000000000000

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