Finite Group Databasebeta

← Group #10695634

Character table — Group #10695634

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222224444444444444888888888888881616161616161616161616162424242424242424242424244848
order12222222223446664446666661212121244441212121212121212121224446612121212121244448888888824
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1
χ811111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ922222222222-2-2222-2-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-200000000000000000000000000
χ1022222222222-2-2222-2-2-2222222-2-2-2-2-2-222-2-2-2-2-2-2222200000000000000000000000000
χ112222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ122222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ132222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111122-2-2-1-1-1-1111100000000000000
χ142222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111-2-2221111-1-1-1-100000000000000
χ152222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-1111122-2-211-1-1-1-111110000−i3i3−i3i3−i3−i3i3i300000000000000
χ162222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-1111122-2-211-1-1-1-111110000i3−i3i3−i3i3i3−i3−i300000000000000
χ172222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11111-2-222111111-1-1-1-10000−i3i3−i3i3i3i3−i3−i300000000000000
χ182222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11111-2-222111111-1-1-1-10000i3−i3i3−i3−i3−i3i3i300000000000000
χ19222222-2-2-2-2222222-2-2222-2-2-2-222-2-200002-2000000002-20022-2-2000000000000000000
χ20222222-2-2-2-2222222-2-2222-2-2-2-222-2-200002-200000000-2200-2-222000000000000000000
χ21222222-2-2-2-22-2-222222-222-2-2-2-2-2-2220000-2200000000002i−2i00002i−2i2i−2i00000000000000
χ22222222-2-2-2-22-2-222222-222-2-2-2-2-2-2220000-220000000000−2i2i0000−2i2i−2i2i00000000000000
χ23222222-2-2-2-2-122-1-1-1-2-22-1-11111-1-1110000-1133−3−333−3−32-200-1-1113−3−3300000000000000
χ24222222-2-2-2-2-122-1-1-1-2-22-1-11111-1-1110000-1133−3−333−3−3-220011-1-1−333−300000000000000
χ25222222-2-2-2-2-122-1-1-1-2-22-1-11111-1-1110000-11−3−333−3−3332-200-1-111−333−300000000000000
χ26222222-2-2-2-2-122-1-1-1-2-22-1-11111-1-1110000-11−3−333−3−333-220011-1-13−3−3300000000000000
χ27222222-2-2-2-2-1-2-2-1-1-122-2-1-1111111-1-100001-133−3−3−3−333002i−2i−i3i3i3−i3−ii−ii00000000000000
χ28222222-2-2-2-2-1-2-2-1-1-122-2-1-1111111-1-100001-133−3−3−3−33300−2i2ii3−i3−i3i3i−ii−i00000000000000
χ29222222-2-2-2-2-1-2-2-1-1-122-2-1-1111111-1-100001-1−3−33333−3−3002i−2ii3−i3−i3i3−ii−ii00000000000000
χ30222222-2-2-2-2-1-2-2-1-1-122-2-1-1111111-1-100001-1−3−33333−3−300−2i2i−i3i3i3−i3i−ii−i00000000000000
χ312222-2-22-2-222222222-2-2-2-22-2-2222-2-20000-2200000000000000000000000022-2-2000000
χ322222-2-22-2-222222222-2-2-2-22-2-2222-2-20000-22000000000000000000000000-2-222000000
χ332222-2-22-2-222-2-2222-222-2-22-2-22-2-22200002-2000000000000000000000000000022-2-200
χ342222-2-22-2-222-2-2222-222-2-22-2-22-2-22200002-20000000000000000000000000000-2-22200
χ352222-2-2-222-2222222-22-2-2-2-222-222220000-2-2000000000000000000000000000000002-2
χ362222-2-2-222-2222222-22-2-2-2-222-222220000-2-200000000000000000000000000000000-22
χ372222-2-2-222-22-2-22222-22-2-2-222-2-2-2-2-20000220000000000000000000022-2-20000000000
χ382222-2-2-222-22-2-22222-22-2-2-222-2-2-2-2-200002200000000000000000000-2-2220000000000
χ392-22-22-222-2-2200-22-20002-222-2-20000002i−2i0000002i−2i2i−2i00000000000000002−22−2−i2i2−i2i200
χ402-22-22-222-2-2200-22-20002-222-2-20000002i−2i0000002i−2i2i−2i0000000000000000−22−22i2−i2i2−i200
χ412-22-22-222-2-2200-22-20002-222-2-2000000−2i2i000000−2i2i−2i2i00000000000000002−22−2i2−i2i2−i200
χ422-22-22-222-2-2200-22-20002-222-2-2000000−2i2i000000−2i2i−2i2i0000000000000000−22−22−i2i2−i2i200
χ432-22-2-222-22-2200-22-2000-222-22-200002i−2i00002i−2i2i−2i000000000000000000002−2−22−i2i2i2−i200
χ442-22-2-222-22-2200-22-2000-222-22-200002i−2i00002i−2i2i−2i00000000000000000000−222−2i2−i2−i2i200
χ452-22-2-222-22-2200-22-2000-222-22-20000−2i2i0000−2i2i−2i2i000000000000000000002−2−22i2−i2−i2i200
χ462-22-2-222-22-2200-22-2000-222-22-20000−2i2i0000−2i2i−2i2i00000000000000000000−222−2−i2i2i2−i200
χ474444-4-44-4-44-244-2-2-24-4-422-222-2-2-22200002-20000000000000000000000000000000000
χ484444-4-44-4-44-2-4-4-2-2-2-44422-222-222-2-20000-220000000000000000000000000000000000
χ494444-4-4-444-4-244-2-2-2-44-4222-2-22-2-2-2-20000220000000000000000000000000000000000
χ504444-4-4-444-4-2-4-4-2-2-24-44222-2-2222220000-2-20000000000000000000000000000000000
χ5144-4-400000044-4-4-440000000004-400000000000000000000000000002i−2i2i−2i0000000000
χ5244-4-400000044-4-4-440000000004-40000000000000000000000000000−2i2i−2i2i0000000000
χ5344-4-40000004-44-4-44000000000-4400000000000000000000000000002i−2i−2i2i0000000000
χ5444-4-40000004-44-4-44000000000-440000000000000000000000000000−2i2i2i−2i0000000000
χ554-44-44-444-4-4-2002-22000-22-2-2220000004i−4i000000−2i2i−2i2i00000000000000000000000000
χ564-44-44-444-4-4-2002-22000-22-2-222000000−4i4i0000002i−2i2i−2i00000000000000000000000000
χ574-44-44-4-4-444400-44-40004-4-4-44400000000000000000000000000000000000000000000
χ584-44-44-4-4-444-2002-22000-2222-2-200000000000000−2i32i32i3−2i300000000000000000000000000
χ594-44-44-4-4-444-2002-22000-2222-2-2000000000000002i3−2i3−2i32i300000000000000000000000000
χ604-44-4-444-44-4-2002-220002-2-22-2200004i−4i0000−2i2i−2i2i000000000000000000000000000000
χ614-44-4-444-44-4-2002-220002-2-22-220000−4i4i00002i−2i2i−2i000000000000000000000000000000
χ624-44-4-44-44-44400-44-4000-44-44-4400000000000000000000000000000000000000000000
χ634-44-4-44-44-44-2002-220002-22-22-20000000000−2i32i32i3−2i3000000000000000000000000000000
χ644-44-4-44-44-44-2002-220002-22-22-200000000002i3−2i3−2i32i3000000000000000000000000000000
χ6588-8-8000000-48-844-4000000000-44000000000000000000000000000000000000000000
χ6688-8-8000000-4-8844-40000000004-4000000000000000000000000000000000000000000
χ678-8-880000008008-8-800000000000000000000000000000000000000000000000000000
χ688-8-88000000-400-4440000000000043−430000000000000000000000000000000000000000
χ698-8-88000000-400-44400000000000−43430000000000000000000000000000000000000000

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