Finite Group Databasebeta

← Group #10693150

Character table — Group #10693150

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222244444444444888888881212121216161616161616161616161616161616242424242424242424244848
order122222344666224446612121212668888121244444488121212122424242424242424244444888888
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ31111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ81111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ91111111-1-111111-1-1-111-1-1-1-111ii−i−i-1-111-1-11-1i−i11-1-1ii−i−iii−i−i-1111-1-1ii−i−ii−i
χ101111111-1-111111-1-1-111-1-1-1-111ii−i−i-1-111-1-1-11−ii-1-111ii−i−i−i−iii-11-1-111ii−i−i−ii
χ111111111-1-111111-1-1-111-1-1-1-111ii−i−i-1-1-1-1111-1i−i11-1-1ii−i−iii−i−i1-1-1-111−i−iii−ii
χ121111111-1-111111-1-1-111-1-1-1-111ii−i−i-1-1-1-111-11−ii-1-111ii−i−i−i−iii1-111-1-1−i−iiii−i
χ131111111-1-111111-1-1-111-1-1-1-111−i−iii-1-111-1-11-1−ii11-1-1−i−iii−i−iii-1111-1-1−i−iii−ii
χ141111111-1-111111-1-1-111-1-1-1-111−i−iii-1-111-1-1-11i−i-1-111−i−iiiii−i−i-11-1-111−i−iiii−i
χ151111111-1-111111-1-1-111-1-1-1-111−i−iii-1-1-1-1111-1−ii11-1-1−i−iii−i−iii1-1-1-111ii−i−ii−i
χ161111111-1-111111-1-1-111-1-1-1-111−i−iii-1-1-1-111-11i−i-1-111−i−iiiii−i−i1-111-1-1ii−i−i−ii
χ17222222222222-2-22-2-22222-2-2-2-200002-222220000000000000000-2-20000000000
χ18222222222222-2-22-2-22222-2-2-2-200002-2-2-2-2-20000000000000000220000000000
χ192222222-2-2222-2-2-22222-2-222-2-20000-2222-2-200000000000000002-20000000000
χ202222222-2-2222-2-2-22222-2-222-2-20000-22-2-2220000000000000000-220000000000
χ21222222-122-1-1-122222-1-1-1-1-1-1-1-12222-1-100002222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222-122-1-1-122222-1-1-1-1-1-1-1-12222-1-10000-2-2-2-21111-1-1-1-11111000000000000
χ23222222-122-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1000022-2-2-1-1-1-111111111000000000000
χ24222222-122-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-1-10000-2-22211111111-1-1-1-1000000000000
χ25222222-1-2-2-1-1-122-2-2-2-1-11111-1-12i2i−2i−2i1100002-22i−2i-1-111−i−iii−i−iii000000000000
χ26222222-1-2-2-1-1-122-2-2-2-1-11111-1-12i2i−2i−2i110000-22−2i2i11-1-1−i−iiiii−i−i000000000000
χ27222222-1-2-2-1-1-122-2-2-2-1-11111-1-1−2i−2i2i2i1100002-2−2i2i-1-111ii−i−iii−i−i000000000000
χ28222222-1-2-2-1-1-122-2-2-2-1-11111-1-1−2i−2i2i2i110000-222i−2i11-1-1ii−i−i−i−iii000000000000
χ292222-2-22222222-2-22-2-2-222222-20000-2-2000000000000000000000000002-22-200
χ302222-2-22222222-2-22-2-2-222222-20000-2-200000000000000000000000000-22-2200
χ312222-2-2222222-22-2-22-2-222-2-2-222-22-2-220000000000002-22-20000000000000000
χ322222-2-2222222-22-2-22-2-222-2-2-22-22-22-22000000000000-22-220000000000000000
χ332222-2-22-2-22222-22-22-2-2-2-2-2-22-2000022000000000000000000000000002i−2i−2i2i00
χ342222-2-22-2-22222-22-22-2-2-2-2-2-22-200002200000000000000000000000000−2i2i2i−2i00
χ352222-2-22-2-2222-2222-2-2-2-2-222-222i−2i−2i2i2-20000000000002i−2i−2i2i0000000000000000
χ362222-2-22-2-2222-2222-2-2-2-2-222-22−2i2i2i−2i2-2000000000000−2i2i2i−2i0000000000000000
χ372222-2-2-122-1-1-1-22-2-2211-1-1111-12-22-21-1000000003−33−3-11-113−33−3000000000000
χ382222-2-2-122-1-1-1-22-2-2211-1-1111-12-22-21-100000000−33−33-11-11−33−33000000000000
χ392222-2-2-122-1-1-1-22-2-2211-1-1111-1-22-221-1000000003−33−31-11-1−33−33000000000000
χ402222-2-2-122-1-1-1-22-2-2211-1-1111-1-22-221-100000000−33−331-11-13−33−3000000000000
χ412222-2-2-1-2-2-1-1-1-2222-21111-1-11-12i−2i−2i2i-11000000003−3−33−iii−ii3−i3−i3i3000000000000
χ422222-2-2-1-2-2-1-1-1-2222-21111-1-11-12i−2i−2i2i-1100000000−333−3−iii−i−i3i3i3−i3000000000000
χ432222-2-2-1-2-2-1-1-1-2222-21111-1-11-1−2i2i2i−2i-11000000003−3−33i−i−ii−i3i3i3−i3000000000000
χ442222-2-2-1-2-2-1-1-1-2222-21111-1-11-1−2i2i2i−2i-1100000000−333−3i−i−iii3−i3−i3i3000000000000
χ45444444-244-2-2-2-4-44-4-4-2-2-2-222220000-2200000000000000000000000000000000
χ46444444-2-4-4-2-2-2-4-4-444-2-222-2-22200002-200000000000000000000000000000000
χ474444-4-4-244-2-2-24-4-44-422-2-2-2-2-2200002200000000000000000000000000000000
χ484444-4-4-2-4-4-2-2-24-44-44222222-220000-2-200000000000000000000000000000000
χ494-44-40044-4-4-4400000004-4000000000000000000000000000000002i−2i2i−2i000000
χ504-44-40044-4-4-4400000004-400000000000000000000000000000000−2i2i−2i2i000000
χ514-44-4004-44-4-440000000-44000000000000000000000000000000002i−2i−2i2i000000
χ524-44-4004-44-4-440000000-4400000000000000000000000000000000−2i2i2i−2i000000
χ534-4-444-44004-4-4000004-40000000000004i−4i000000000000000000000000000000
χ544-4-444-44004-4-4000004-4000000000000−4i4i000000000000000000000000000000
χ554-4-44-444004-4-400000-44000000000000004-40000000000000000000000000000
χ564-4-44-444004-4-400000-4400000000000000-440000000000000000000000000000
χ5788-8-800800-88-8000000000000000000000000000000000000000000000000000
χ5888-8-800-4004-4400000000043−430000000000000000000000000000000000000000
χ5988-8-800-4004-44000000000−43430000000000000000000000000000000000000000
χ608-88-800-48-844-40000000-44000000000000000000000000000000000000000000
χ618-88-800-4-8844-400000004-4000000000000000000000000000000000000000000
χ628-8-888-8-400-44400000-4400000000000000000000000000000000000000000000
χ638-8-88-88-400-444000004-400000000000000000000000000000000000000000000

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