Finite Group Databasebeta

← Group #10829903

Character table — Group #10829903

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444444444444444488888888888816161616161616161616161624242424242424242424242424242424
order1222223444466644444444661212121212121212226666121212121212888824242424242424242244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111
χ7111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ911111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-11-11-11-1111-1-1-111-1-1
χ1011111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-11-11-11-1-1-1111-1-111
χ1111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111-11-11-1-1-11-111-1-111
χ1211111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-11-11-1111-11-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-1-1-1111-1-111-111-11-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-1-1-111-111-1-11-1-11-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-11111-1-11-1-111-1-1-1-111111-1-1
χ1611111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-11111-1-1-111-1-11111-1-1-1-1-111
χ172222222-2-2-2-222222-2-222-2-222-2-2-2-2-2-2-2-22-222-2-22222-2-20000000000000000000000000000
χ182222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2-22-2-22222-2-2220000000000000000000000000000
χ192222222-2-2-2-2222-2-22222-2-222-2-22222-2-2-22-2-222-2-222-2-20000000000000000000000000000
χ202222222-2-2-2-2222-2-222-2-22222-2-22222-2-22-222-2-2-2-2-2-2220000000000000000000000000000
χ21222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ22222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ23222222-12222-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-21111-1-1111122-2-2-1-1-1-111110000000000000000
χ24222222-12222-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-21111-1-11111-2-2221111-1-1-1-10000000000000000
χ25222222-12222-1-1-1-2-2-2-22222-1-1-1-11111-1-1-2-2111111-1-1-1-12-22-2-1-111-1-1110000000000000000
χ26222222-12222-1-1-1-2-2-2-22222-1-1-1-11111-1-1-2-2111111-1-1-1-1-22-2211-1-111-1-10000000000000000
χ27222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111-1-122-1-1-1-11111112-2-22-1-11111-1-10000000000000000
χ28222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111-1-122-1-1-1-1111111-222-211-1-1-1-1110000000000000000
χ29222222-1-2-2-2-2-1-1-122-2-222-2-2-1-1111111112-2-1-111-1-1-1-11100003−33−33−33−30000000000000000
χ30222222-1-2-2-2-2-1-1-122-2-222-2-2-1-1111111112-2-1-111-1-1-1-1110000−33−33−33−330000000000000000
χ31222222-1-2-2-2-2-1-1-122-2-2-2-222-1-111111111-2211-1-1-1-111-1-100003−33−3−33−330000000000000000
χ32222222-1-2-2-2-2-1-1-122-2-2-2-222-1-111111111-2211-1-1-1-111-1-10000−33−333−33−30000000000000000
χ33222222-1-2-2-2-2-1-1-1-2-22222-2-2-1-111-1-1-1-111-2211-1-111-1-11100003−3−333−3−330000000000000000
χ34222222-1-2-2-2-2-1-1-1-2-22222-2-2-1-111-1-1-1-111-2211-1-111-1-1110000−333−3−333−30000000000000000
χ35222222-1-2-2-2-2-1-1-1-2-222-2-222-1-111-1-1-1-1112-2-1-1111111-1-100003−3−33−333−30000000000000000
χ36222222-1-2-2-2-2-1-1-1-2-222-2-222-1-111-1-1-1-1112-2-1-1111111-1-10000−333−33−3−330000000000000000
χ372222-2-222-22-22222-22-20000-2-22-222-2-22-20000002-200000000000000002200-2-20000000000
χ382222-2-222-22-22222-22-20000-2-22-222-2-22-20000002-20000000000000000-2-200220000000000
χ392222-2-222-22-2222-22-220000-2-22-2-2-2222-2000000-2200000000000000002-200-220000000000
χ402222-2-222-22-2222-22-220000-2-22-2-2-2222-2000000-220000000000000000-22002-20000000000
χ412222-2-22-22-222222-2-220000-2-2-22-2-222-220000002-20000000000000000002-20000-22000000
χ422222-2-22-22-222222-2-220000-2-2-22-2-222-220000002-2000000000000000000-2200002-2000000
χ432222-2-22-22-22222-222-20000-2-2-2222-2-2-22000000-22000000000000000000220000-2-2000000
χ442222-2-22-22-22222-222-20000-2-2-2222-2-2-22000000-22000000000000000000-2-2000022000000
χ452-22-22-222-2-222-2-200002i−2i2i−2i2-22-20000-22000000002i−2i2i−2i00000000000000000000002i−2i002-2
χ462-22-22-222-2-222-2-200002i−2i2i−2i2-22-20000-22000000002i−2i2i−2i0000000000000000000000−2i2i00-22
χ472-22-22-222-2-222-2-20000−2i2i−2i2i2-22-20000-2200000000−2i2i−2i2i00000000000000000000002i−2i00-22
χ482-22-22-222-2-222-2-20000−2i2i−2i2i2-22-20000-2200000000−2i2i−2i2i0000000000000000000000−2i2i002-2
χ492-22-22-22-222-22-2-200002i−2i−2i2i2-2-2200002-2000000002i−2i−2i2i0000000000000000002-200002i−2i00
χ502-22-22-22-222-22-2-200002i−2i−2i2i2-2-2200002-2000000002i−2i−2i2i000000000000000000-220000−2i2i00
χ512-22-22-22-222-22-2-20000−2i2i2i−2i2-2-2200002-200000000−2i2i2i−2i0000000000000000002-20000−2i2i00
χ522-22-22-22-222-22-2-20000−2i2i2i−2i2-2-2200002-200000000−2i2i2i−2i000000000000000000-2200002i−2i00
χ534444-4-4-24-44-4-2-2-24-44-4000022-22-2-222-22000000-2200000000000000000000000000000000
χ544444-4-4-24-44-4-2-2-2-44-44000022-2222-2-2-220000002-200000000000000000000000000000000
χ554444-4-4-2-44-44-2-2-24-4-440000222-222-2-22-2000000-2200000000000000000000000000000000
χ564444-4-4-2-44-44-2-2-2-444-40000222-2-2-2222-20000002-200000000000000000000000000000000
χ574-44-44-4-24-4-44-22200004i−4i4i−4i-22-2200002-200000000−2i2i−2i2i0000000000000000000000000000
χ584-44-44-4-24-4-44-2220000−4i4i−4i4i-22-2200002-2000000002i−2i2i−2i0000000000000000000000000000
χ594-44-44-4-2-444-4-22200004i−4i−4i4i-222-20000-2200000000−2i2i2i−2i0000000000000000000000000000
χ604-44-44-4-2-444-4-2220000−4i4i4i−4i-222-20000-22000000002i−2i−2i2i0000000000000000000000000000
χ614-44-4-44444-4-44-4-400000000-44440000-4-40000000000000000000000000000000000000000
χ624-44-4-444-4-4444-4-400000000-44-4-40000440000000000000000000000000000000000000000
χ634-44-4-44-244-4-4-222000000002-2-2-200002200−2i32i3−2i32i30000000000000000000000000000000000
χ644-44-4-44-244-4-4-222000000002-2-2-2000022002i3−2i32i3−2i30000000000000000000000000000000000
χ654-44-4-44-2-4-444-222000000002-2220000-2-200−2i32i32i3−2i30000000000000000000000000000000000
χ664-44-4-44-2-4-444-222000000002-2220000-2-2002i3−2i3−2i32i30000000000000000000000000000000000
χ6788-8-80080000-88-80000000000000000000000000000000000000000000000000000000000
χ6888-8-800-400004-4400000000000043−4300000000000000000000000000000000000000000000
χ6988-8-800-400004-44000000000000−434300000000000000000000000000000000000000000000
χ708-8-880080000-8-880000000000000000000000000000000000000000000000000000000000
χ718-8-8800-4000044-400000000000000−4i34i3000000000000000000000000000000000000000000
χ728-8-8800-4000044-4000000000000004i3−4i3000000000000000000000000000000000000000000

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