Finite Group Databasebeta

← Group #10844977

Character table — Group #10844977

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444444444444466888888888888888881212121212161616161616161616162424242424242424244848
order12222234444666668888881212121224242424444444888121212122424242424244448848121212122424242444448888848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1
χ3111111111111111111111111111111-1-111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111
χ511111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-1111-1-1-1-111-1-111-1-1-1-11111-111-1-1
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-111-1-111-1-1-1-111-1-1-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1111111-1-1111-1-1
χ91111111111111111-1-1-1-1111111111111-1-111-1-11-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-111-1-11-1-11-1
χ101111111111111111-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111-11-1-1-1-11111-1-1-1-1-1-1111-11
χ111111111111111111-1-1-1-11111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11-11111-1-1-1-111-1-111-111-11
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-11111111111-1-1-11-1
χ131111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1111-1-1-1111-1-1-1-1111111-1-1-1-1-1-11
χ141111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-11111-1-1-1-1-1-1111-1-11-1-1-11111-1-111-1-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1-1-1111111-1
χ161111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11111-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-111111-1-1-11
χ172222222-2-2-2-2222222i2i−2i−2i00-2-2-2-2000022000000000002i2i−2i−2i002-2-200000000000000002i−2i00000
χ182222222-2-2-2-2222222i2i−2i−2i00-2-2-2-20000-2-2000000000002i2i−2i−2i00-2220000000000000000−2i2i00000
χ192222222-2-2-2-222222−2i−2i2i2i00-2-2-2-200002200000000000−2i−2i2i2i002-2-20000000000000000−2i2i00000
χ202222222-2-2-2-222222−2i−2i2i2i00-2-2-2-20000-2-200000000000−2i−2i2i2i00-22200000000000000002i−2i00000
χ21222222-12222-1-1-1-1-1222222-1-1-1-1-1-1-1-1002222222-1-1-1-1-1-1-1-1-1-10000022-1-1-1-1-1-1-1-100000000000
χ22222222-12222-1-1-1-1-1222222-1-1-1-1-1-1-1-10022-2-2-2-22-1-1-1-1-1-1-1-1-1-100000-2-21111111100000000000
χ23222222-12222-1-1-1-1-12222-2-2-1-1-1-1111100-2-22222-21111-1-1-1-11100000-2-2-1-111-1-11100000000000
χ24222222-12222-1-1-1-1-12222-2-2-1-1-1-1111100-2-2-2-2-2-2-21111-1-1-1-111000002211-1-111-1-100000000000
χ25222222-12222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-100-2-222-2-2211111111-1-1000002-2-1-1-1-1111100000000000
χ26222222-12222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-100-2-2-2-222211111111-1-100000-221111-1-1-1-100000000000
χ27222222-12222-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111002222-2-2-2-1-1-1-111111100000-22-1-11111-1-100000000000
χ28222222-12222-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111110022-2-222-2-1-1-1-1111111000002-211-1-1-1-11100000000000
χ292222-2-222-22-2222-2-200002222-2-2222222000000-200000000-2-2-22-2220000000000000000-20000
χ302222-2-222-22-2222-2-200002222-2-22222-2-2000000-200000000-2-22-22-2-2000000000000000020000
χ312222-2-222-22-2222-2-20000-2-222-2-2-2-2-2-22200000020000000022-22-2-2-2000000000000000020000
χ322222-2-222-22-2222-2-20000-2-222-2-2-2-2-2-2-2-2000000200000000222-22220000000000000000-20000
χ332222-2-22-22-22222-2-2000000-2-2220000222-20000022-2-2000000-2-220000000000002-2000000000
χ342222-2-22-22-22222-2-2000000-2-222000022-2200000-2-222000000-2-22000000000000-22000000000
χ352222-2-22-22-22222-2-2000000-2-2220000-2-22-20000022-2-200000022-2000000000000-22000000000
χ362222-2-22-22-22222-2-2000000-2-2220000-2-2-2200000-2-22200000022-20000000000002-2000000000
χ372-2-222-222-2-22-22-22-22-22-2002-22-2000000002i−2i2i−2i000002-22-20000000002i−2i002i−2i0000000000000
χ382-2-222-222-2-22-22-22-22-22-2002-22-200000000−2i2i−2i2i000002-22-2000000000−2i2i00−2i2i0000000000000
χ392-2-222-222-2-22-22-22-2-22-22002-22-2000000002i−2i−2i2i00000-22-220000000002i−2i00−2i2i0000000000000
χ402-2-222-222-2-22-22-22-2-22-22002-22-200000000−2i2i2i−2i00000-22-22000000000−2i2i002i−2i0000000000000
χ412-2-222-22-222-2-22-22-22i−2i−2i2i00-22-22000000000000000002i−2i−2i2i00000000000000000002-20002i−2i00
χ422-2-222-22-222-2-22-22-22i−2i−2i2i00-22-22000000000000000002i−2i−2i2i0000000000000000000-22000−2i2i00
χ432-2-222-22-222-2-22-22-2−2i2i2i−2i00-22-2200000000000000000−2i2i2i−2i00000000000000000002-2000−2i2i00
χ442-2-222-22-222-2-22-22-2−2i2i2i−2i00-22-2200000000000000000−2i2i2i−2i0000000000000000000-220002i−2i00
χ452-2-222-2-12-2-221-11-112-22-200-11-1133−3−300002i−2i2i−2i03−33−3-11-113−30000000−ii−i3i3−ii−i3i300000000000
χ462-2-222-2-12-2-221-11-112-22-200-11-1133−3−30000−2i2i−2i2i03−33−3-11-113−30000000i−ii3−i3i−ii3−i300000000000
χ472-2-222-2-12-2-221-11-112-22-200-11-11−3−33300002i−2i2i−2i0−33−33-11-11−330000000−iii3−i3−iii3−i300000000000
χ482-2-222-2-12-2-221-11-112-22-200-11-11−3−3330000−2i2i−2i2i0−33−33-11-11−330000000i−i−i3i3i−i−i3i300000000000
χ492-2-222-2-12-2-221-11-11-22-2200-11-1133−3−300002i−2i−2i2i0−33−331-11-13−30000000−ii−i3i3i−ii3−i300000000000
χ502-2-222-2-12-2-221-11-11-22-2200-11-1133−3−30000−2i2i2i−2i0−33−331-11-13−30000000i−ii3−i3−ii−i3i300000000000
χ512-2-222-2-12-2-221-11-11-22-2200-11-11−3−33300002i−2i−2i2i03−33−31-11-1−330000000−iii3−i3i−i−i3i300000000000
χ522-2-222-2-12-2-221-11-11-22-2200-11-11−3−3330000−2i2i2i−2i03−33−31-11-1−330000000i−i−i3i3−iii3−i300000000000
χ53444444-2-4-4-4-4-2-2-2-2-24i4i−4i−4i00222200000000000000000−2i−2i2i2i0000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-2-2-2−4i−4i4i4i002222000000000000000002i2i−2i−2i0000000000000000000000000000
χ554444-4-4-24-44-4-2-2-222000044-2-222-2-2-2-200000000-4000000002200000000000000000000000000
χ564444-4-4-24-44-4-2-2-2220000-4-4-2-222222200000000400000000-2-200000000000000000000000000
χ574444-4-4-2-44-44-2-2-22200000022-2-20000004-400000-2-22200000000000000000000000000000000
χ584444-4-4-2-44-44-2-2-22200000022-2-2000000-440000022-2-200000000000000000000000000000000
χ5944-4-400400004-4-400000022−22000022−2222−224-40000000000000000000022−22000000000000000000000
χ6044-4-400400004-4-400000022−22000022−2222−22-4400000000000000000000−2222000000000000000000000
χ6144-4-400400004-4-4000000−22220000−2222−22224-400000000000000000000−2222000000000000000000000
χ6244-4-400400004-4-4000000−22220000−2222−2222-440000000000000000000022−22000000000000000000000
χ634-4-444-4-2-444-42-22-224i−4i−4i4i002-22-200000000000000000−2i2i2i−2i0000000000000000000000000000
χ644-4-444-4-2-444-42-22-22−4i4i4i−4i002-22-2000000000000000002i−2i−2i2i0000000000000000000000000000
χ654-4-44-44444-4-4-44-4-440000004-4-440000000000000000000000000000000000000000000000000
χ664-4-44-444-4-444-44-4-44000000-444-40000000000000000000000000000000000000000000000000
χ674-4-44-44-244-4-42-222-2000000-222-22323−23−2300000000000000000−232300000000000000000000000000
χ684-4-44-44-244-4-42-222-2000000-222-2−23−2323230000000000000000023−2300000000000000000000000000
χ694-4-44-44-2-4-4442-222-20000002-2-22000000000000023−23−232300000000000000000000000000000000
χ704-4-44-44-2-4-4442-222-20000002-2-220000000000000−232323−2300000000000000000000000000000000
χ7188-8-800-40000-44400000042−420000−2222−2222000000000000000000000000000000000000000000000
χ7288-8-800-40000-444000000−4242000022−2222−22000000000000000000000000000000000000000000000
χ738-88-80080000-8-880000000000000000000000000000000000000000000000000000000000000
χ748-88-800-4000044-400000000000026−26−2626000000000000000000000000000000000000000000000
χ758-88-800-4000044-4000000000000−262626−26000000000000000000000000000000000000000000000

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