Finite Group Databasebeta

← Group #10827240

Character table — Group #10827240

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order122222344446666612121212224444444412121212224444446688121212121212242424242244444488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-11-1-1-111-1-11-1111-1-1-11-1
χ411111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-11-1-1-111-1-1-11-1-1-1111-11
χ51111111111111111111111-11-11-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-11-1-1-1-111-1111-11-1-1-11
χ61111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-11-1-1-1-1111-1-1-11-1111-1
χ71111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1
χ81111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-111
χ911111111111111111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1
χ1011111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111
χ1111111111111111111111-1-11-11-1-1-111111111-1-1-1-111-1-1-111-11-1-1-1-1-1111-1-1-11-111-11
χ1211111111111111111111-1-11-11-1-1-1111111-1-11111-1-1-1-1-111-11-1-1-1-1-111-1111-11-1-11-1
χ1311111111111111111111-1-1-11-11-1-111111111-1-1-1-111-1-11-1-11-11-1-111-1-1-11-1-1-11111-1
χ1411111111111111111111-1-1-11-11-1-1111111-1-11111-1-1-1-11-1-11-11-1-111-1-11-1111-1-1-1-11
χ1511111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1
χ172222222-2-2-2-222222-2-2-2-20000002-20000002222-2-2-2-2000000002-200000000000000
χ182222222-2-2-2-222222-2-2-2-20000002-2000000-2-2-2-22222000000002-200000000000000
χ192222222-2-2-2-222222-2-2-2-2000000-2200000022-2-222-2-200000000-2200000000000000
χ202222222-2-2-2-222222-2-2-2-2000000-22000000-2-222-2-22200000000-2200000000000000
χ21222222-12222-1-1-1-1-1-1-1-1-12222222222-1-1-1-100000000-1-122-1-1-1-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-1-1-1-1-1-1-1222-22-2-2-2-2-2111100000000-1-12-2-11-1111-1-1110000000000
χ23222222-12222-1-1-1-1-1-1-1-1-122-22-22-2-2-2-2111100000000-1-1-221-11-11111-1-10000000000
χ24222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-100000000-1-1-2-21111-1-111110000000000
χ25222222-12222-1-1-1-1-1-1-1-1-1-2-2222222-2-211110000000011-2-2-1-1-1-1-1-111110000000000
χ26222222-12222-1-1-1-1-1-1-1-1-1-2-22-22-2-2-222-1-1-1-10000000011-22-11-111111-1-10000000000
χ27222222-12222-1-1-1-1-1-1-1-1-1-2-2-22-22-2-222-1-1-1-100000000112-21-11-111-1-1110000000000
χ28222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-211110000000011221111-1-1-1-1-1-10000000000
χ292222-2-222-22-2222-2-22-22-200020-2000000002-200002-20000020-200000002000-20000
χ302222-2-222-22-2222-2-22-22-200020-200000000-220000-220000020-20000000-200020000
χ312222-2-222-22-2222-2-22-22-2000-202000000002-200002-200000-2020000000-200020000
χ322222-2-222-22-2222-2-22-22-2000-20200000000-220000-2200000-20200000002000-20000
χ332222-2-22-22-22222-2-2-22-220020-20000000002-20000-22000020-200000002000-200000
χ342222-2-22-22-22222-2-2-22-220020-2000000000-2200002-2000020-20000000-2000200000
χ352222-2-22-22-22222-2-2-22-2200-2020000000002-20000-220000-2020000000-2000200000
χ362222-2-22-22-22222-2-2-22-2200-202000000000-2200002-20000-20200000002000-200000
χ372-2-222-2222-2-22-2-22-2-2-222000000002i−2i2i2i−2i−2i002i−2i2i−2i0000000000000000002-2000000
χ382-2-222-2222-2-22-2-22-2-2-222000000002i−2i2i2i−2i−2i00−2i2i−2i2i000000000000000000-22000000
χ392-2-222-2222-2-22-2-22-2-2-22200000000−2i2i−2i−2i2i2i002i−2i2i−2i000000000000000000-22000000
χ402-2-222-2222-2-22-2-22-2-2-22200000000−2i2i−2i−2i2i2i00−2i2i−2i2i0000000000000000002-2000000
χ412-2-222-22-2-2222-2-22-222-2-22-2000000000000002i−2i−2i2i002-20000000000000000002i−2i00
χ422-2-222-22-2-2222-2-22-222-2-22-200000000000000−2i2i2i−2i002-2000000000000000000−2i2i00
χ432-2-222-22-2-2222-2-22-222-2-2-22000000000000002i−2i−2i2i00-22000000000000000000−2i2i00
χ442-2-222-22-2-2222-2-22-222-2-2-2200000000000000−2i2i2i−2i00-220000000000000000002i−2i00
χ45444444-2-4-4-4-4-2-2-2-2-222220000004-40000000000000000000000-2200000000000000
χ46444444-2-4-4-4-4-2-2-2-2-22222000000-4400000000000000000000002-200000000000000
χ474444-4-4-24-44-4-2-2-222-22-2200040-4000000000000000000000-2020000000000000000
χ484444-4-4-24-44-4-2-2-222-22-22000-40400000000000000000000020-20000000000000000
χ494444-4-4-2-44-44-2-2-2222-22-20040-4000000000000000000000-20200000000000000000
χ504444-4-4-2-44-44-2-2-2222-22-200-40400000000000000000000020-200000000000000000
χ514-4-444-4-244-4-4-222-2222-2-2000000004i−4i−2i−2i2i2i00000000000000000000000000000000
χ524-4-444-4-244-4-4-222-2222-2-200000000−4i4i2i2i−2i−2i00000000000000000000000000000000
χ534-4-444-4-2-4-444-222-22-2-2224-400000000000000000000-220000000000000000000000
χ544-4-444-4-2-4-444-222-22-2-222-44000000000000000000002-20000000000000000000000
χ554-4-44-4444-4-444-4-4-44-444-40000000000000000000000000000000000000000000000
χ564-4-44-444-444-44-4-4-444-4-440000000000000000000000000000000000000000000000
χ574-4-44-44-24-4-44-2222-22-2-220000000000000000000000000000000023−23000000000000
χ584-4-44-44-24-4-44-2222-22-2-2200000000000000000000000000000000−2323000000000000
χ594-4-44-44-2-444-4-2222-2-222-2000000000000000000000000000000000023−230000000000
χ604-4-44-44-2-444-4-2222-2-222-20000000000000000000000000000000000−23230000000000
χ6188-8-80080000-88-80000000000000000000000000000000000000000000000000000
χ6288-8-800-400004-44000000000000000023−2323−2300000000000000000000000000000000
χ6388-8-800-400004-440000000000000000−2323−232300000000000000000000000000000000
χ648-88-80080000-8-880000000000000000000000000000000000000000000000000000
χ658-88-800-4000044-40000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ668-88-800-4000044-400000000000000002i3−2i3−2i32i300000000000000000000000000000000

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