Finite Group Databasebeta

← Group #10828714

Character table — Group #10828714

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222222244444466888888888888888812121212121212161616161616161616161616162424242424242424242448
order12222234444666661212121222444444444488121212122444444812121212121212122424242424444444888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-111111-1-111-1-1-111-1-1-1-111-1-1-1-1-111-11111-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1111-1-1-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-11-11-111-1-111-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-111-1-111-1
χ61111111111111111111111-1-11-11-1-1-111-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-11
χ71111111111111111111111-1-1-11-1111-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-11111-1-1111-1-1111-1-1-1-11
χ81111111111111111111111-1-1-11-11-1-1111111111-1-111-1-1-1-1-1-1-111-1-111-1-11-1-11-1-11111-1
χ911111111111111111111-1-11111111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111
χ1111111111111111111111-1-111-1-1-1-11111-1-11111-111-1-111-111-1-1-1-111-1-1-1-11-1-11-1-1-1-1111
χ1211111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111-1-1-1-1-1-111111-1-111111-1-1-1
χ1311111111111111111111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-11
χ1411111111111111111111-1-1-1-11-11-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111111-1-111-1
χ1511111111111111111111-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-111-111-1-1-11111-1
χ1611111111111111111111-1-1-1-1-11-11-1-111111111-111-1-111-1-1-1-1-111-1-111-1-1-111-111-1-1-1-11
χ172222222-2-2-2-222222-2-2-2-2222-200000000000000200-2-20002-2000000000002-200000000
χ182222222-2-2-2-222222-2-2-2-222-2200000000000000200-2-2000-2200000000000-2200000000
χ192222222-2-2-2-222222-2-2-2-2-2-22-200000000000000-200220002-200000000000-2200000000
χ202222222-2-2-2-222222-2-2-2-2-2-2-2200000000000000-20022000-22000000000002-200000000
χ21222222-12222-1-1-1-1-1-1-1-1-100222222222222-1-1-1-100000002-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ22222222-12222-1-1-1-1-1-1-1-1-100222222-2-2-2-2-2-211110000000-2-1-1-1-1-1-111111100000000000
χ23222222-12222-1-1-1-1-1-1-1-1-10022-2-2-2-22222-2-2-1-1-1-10000000-2-1-11111-1-1111100000000000
χ24222222-12222-1-1-1-1-1-1-1-1-10022-2-2-2-2-2-2-2-222111100000002-1-1111111-1-1-1-100000000000
χ25222222-12222-1-1-1-1-1-1-1-1-100-2-22-22-222-2-22211110000000-211-1-111-1-1-1-11100000000000
χ26222222-12222-1-1-1-1-1-1-1-1-100-2-22-22-2-2-222-2-2-1-1-1-10000000211-1-1111111-1-100000000000
χ27222222-12222-1-1-1-1-1-1-1-1-100-2-2-22-2222-2-2-2-21111000000021111-1-1-1-111-1-100000000000
χ28222222-12222-1-1-1-1-1-1-1-1-100-2-2-22-22-2-22222-1-1-1-10000000-21111-1-111-1-11100000000000
χ292222-2-222-2-22222-2-22-22-2220020-200000000000-2222-2-2-20002-20000000000000000000
χ302222-2-222-2-22222-2-22-22-22200-20200000000000-2-2-22-222000-220000000000000000000
χ312222-2-222-2-22222-2-22-22-2-2-20020-2000000000002-2-2-22220002-20000000000000000000
χ322222-2-222-2-22222-2-22-22-2-2-200-20200000000000222-22-2-2000-220000000000000000000
χ332222-2-22-222-2222-2-2-22-222200020-20000000000-200-2200000002-2000000-20020000000
χ342222-2-22-222-2222-2-2-22-2222000-2020000000000-200-220000000-22000000200-20000000
χ352222-2-22-222-2222-2-2-22-22-2-200020-200000000002002-200000002-2000000200-20000000
χ362222-2-22-222-2222-2-2-22-22-2-2000-20200000000002002-20000000-22000000-20020000000
χ372-22-22-22-22-222-2-2-22-2-222000000002i−2i0000000002i−2i002i−2i00000002i−2i0000000000002-20
χ382-22-22-22-22-222-2-2-22-2-222000000002i−2i000000000−2i2i00−2i2i00000002i−2i000000000000-220
χ392-22-22-22-22-222-2-2-22-2-22200000000−2i2i0000000002i−2i002i−2i0000000−2i2i000000000000-220
χ402-22-22-22-22-222-2-2-22-2-22200000000−2i2i000000000−2i2i00−2i2i0000000−2i2i0000000000002-20
χ412-22-2-222-2-2222-2-22-2-222-20000000000002-2000002i−2i00−2i2i0000000002-20000002i−2i00000
χ422-22-2-222-2-2222-2-22-2-222-20000000000002-200000−2i2i002i−2i0000000002-2000000−2i2i00000
χ432-22-2-222-2-2222-2-22-2-222-2000000000000-22000002i−2i00−2i2i000000000-22000000−2i2i00000
χ442-22-2-222-2-2222-2-22-2-222-2000000000000-2200000−2i2i002i−2i000000000-220000002i−2i00000
χ45444444-2-4-4-4-4-2-2-2-2-22222004-40000000000000000000000-22000000000000000000000
χ46444444-2-4-4-4-4-2-2-2-2-2222200-4400000000000000000000002-2000000000000000000000
χ474444-4-4-24-4-44-2-2-222-22-22000040-4000000000000000000000-220000000000000000000
χ484444-4-4-24-4-44-2-2-222-22-220000-4040000000000000000000002-20000000000000000000
χ494444-4-4-2-444-4-2-2-2222-22-20000040-40000000000000000000000-2200000000000000000
χ504444-4-4-2-444-4-2-2-2222-22-200000-40400000000000000000000002-200000000000000000
χ514-44-44-444-44-44-4-4-4444-4-40000000000000000000000000000000000000000000000000
χ524-44-44-4-24-44-4-2222-2-2-22200000000000000−2i3−2i32i32i30000000000000000000000000000000
χ534-44-44-4-24-44-4-2222-2-2-222000000000000002i32i3−2i3−2i30000000000000000000000000000000
χ544-44-44-4-2-44-44-2222-222-2-2000000004i−4i0000000000000000000000−2i2i000000000000000
χ554-44-44-4-2-44-44-2222-222-2-200000000−4i4i00000000000000000000002i−2i000000000000000
χ564-44-4-44444-4-44-4-44-44-4-440000000000000000000000000000000000000000000000000
χ574-44-4-44-244-4-4-222-22-222-2000000000000000000000000000000000000−2i32i300000000000
χ584-44-4-44-244-4-4-222-22-222-20000000000000000000000000000000000002i3−2i300000000000
χ594-44-4-44-2-4-444-222-222-2-220000000000004-400000000000000000000-220000000000000
χ604-44-4-44-2-4-444-222-222-2-22000000000000-44000000000000000000002-20000000000000
χ614-4-440040000-44-40000004-4000000002i−2i002i−2i2i−2i000000000000000000000000002i−2i000
χ624-4-440040000-44-40000004-400000000−2i2i00−2i2i−2i2i00000000000000000000000000−2i2i000
χ634-4-440040000-44-4000000-44000000002i−2i002i−2i2i−2i00000000000000000000000000−2i2i000
χ644-4-440040000-44-4000000-4400000000−2i2i00−2i2i−2i2i000000000000000000000000002i−2i000
χ6588-8-80080000-8-880000000000000000000000000000000000000000000000000000000
χ6688-8-800-4000044-40000000000000000000023−23−23230000000000000000000000000000000
χ6788-8-800-4000044-400000000000000000000−232323−230000000000000000000000000000000
χ688-8-8800-400004-4400000000000000004i−4i00−2i2i−2i2i0000000000000000000000000000000
χ698-8-8800-400004-440000000000000000−4i4i002i−2i2i−2i0000000000000000000000000000000

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