Finite Group Databasebeta

← Group #10828039

Character table — Group #10828039

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444888888888888881212121212121212161616161616161616161616161624242424242424244848
order1222223444466666121212122444444444121212122222224468812121212121212242424242444444488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-11-11-1-1-1111-1
χ6111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-1-1-11-1111-1-1-11
χ7111111111111111111111-11-1-1-1-1-11111111111-1-1-1-11-11-1-1-1-11-1-1-1-1111-11-111-1-1-11
χ8111111111111111111111-11-1-1-1-1-1111111-1-1-1-111111-11-1-1-1-11-1-1-1-111-11-11-1-1111-1
χ911111111111111111111-11-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-11-11-1-111-11
χ1011111111111111111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1111-11-111-1-11-1
χ1111111111111111111111-11-1-1-11-1-11111111111-1-1-1-1-11-111-1-1-1-1-111-1-1-11-1111-1-11-1
χ1211111111111111111111-11-1-1-11-1-1111111-1-1-1-11111-11-111-1-1-1-1-111-1-11-11-1-1-111-11
χ1311111111111111111111-1-1-111-11111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1
χ1411111111111111111111-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111
χ1511111111111111111111-1-1-111-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ1611111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111111111-1-1
χ172222222-2-2-2-222222-2-2-2-20002-200000000022-2-222-2-2000000002-200000000000000
χ182222222-2-2-2-222222-2-2-2-20002-2000000000-2-222-2-222000000002-200000000000000
χ192222222-2-2-2-222222-2-2-2-2000-2200000000022-2-2-2-22200000000-2200000000000000
χ202222222-2-2-2-222222-2-2-2-2000-22000000000-2-22222-2-200000000-2200000000000000
χ21222222-12222-1-1-1-1-1-1-1-1-12222222222-1-1-1-100000000-122-1-1-1-1-1-1-1-1-1-1-10000000000
χ22222222-12222-1-1-1-1-1-1-1-1-1222222-2-2-2-2111100000000-1-2-2-1-111-1-1-111110000000000
χ23222222-12222-1-1-1-1-1-1-1-1-12-22-2-2-222-2-2111100000000-12-211-1-1-111-1-1110000000000
χ24222222-12222-1-1-1-1-1-1-1-1-12-22-2-2-2-2-222-1-1-1-100000000-1-221111-11111-1-10000000000
χ25222222-12222-1-1-1-1-1-1-1-1-1-22-2-2-2222-2-21111000000001-22-1-1-1-111111-1-10000000000
χ26222222-12222-1-1-1-1-1-1-1-1-1-22-2-2-22-2-222-1-1-1-10000000012-2-1-111111-1-1110000000000
χ27222222-12222-1-1-1-1-1-1-1-1-1-2-2-222-22222-1-1-1-1000000001-2-211-1-11-1-111110000000000
χ28222222-12222-1-1-1-1-1-1-1-1-1-2-2-222-2-2-2-2-211110000000012211111-1-1-1-1-1-10000000000
χ292222-2-222-22-2222-2-22-22-202000-20000000000002-22-20002-200000000020-20000000
χ302222-2-222-22-2222-2-22-22-202000-2000000000000-22-220002-2000000000-2020000000
χ312222-2-222-22-2222-2-22-22-20-200020000000000002-22-2000-22000000000-2020000000
χ322222-2-222-22-2222-2-22-22-20-20002000000000000-22-22000-2200000000020-20000000
χ332222-2-22-22-22222-2-2-22-2220-20000000000000002-2-222000000-20000000-202000000
χ342222-2-22-22-22222-2-2-22-2220-2000000000000000-222-22000000-2000000020-2000000
χ352222-2-22-22-22222-2-2-22-22-2020000000000000002-2-22-20000002000000020-2000000
χ362222-2-22-22-22222-2-2-22-22-202000000000000000-222-2-200000020000000-202000000
χ372-22-22-222-2-22-2-222-2-222-20000002i−2i0000002-22-20000000002i−2i00000000000002i−2i00
χ382-22-22-222-2-22-2-222-2-222-20000002i−2i000000-22-220000000002i−2i0000000000000−2i2i00
χ392-22-22-222-2-22-2-222-2-222-2000000−2i2i0000002-22-2000000000−2i2i0000000000000−2i2i00
χ402-22-22-222-2-22-2-222-2-222-2000000−2i2i000000-22-22000000000−2i2i00000000000002i−2i00
χ412-22-22-22-222-2-2-222-22-2-22000000002i−2i2i2i−2i−2i2-2-2200000000000000000000002i−2i0000
χ422-22-22-22-222-2-2-222-22-2-22000000002i−2i2i2i−2i−2i-222-20000000000000000000000−2i2i0000
χ432-22-22-22-222-2-2-222-22-2-2200000000−2i2i−2i−2i2i2i2-2-220000000000000000000000−2i2i0000
χ442-22-22-22-222-2-2-222-22-2-2200000000−2i2i−2i−2i2i2i-222-200000000000000000000002i−2i0000
χ45444444-2-4-4-4-4-2-2-2-2-222220004-40000000000000000000000000-2200000000000000
χ46444444-2-4-4-4-4-2-2-2-2-22222000-4400000000000000000000000002-200000000000000
χ474444-4-4-24-44-4-2-2-222-22-2204000-40000000000000000000-220000000000000000000
χ484444-4-4-24-44-4-2-2-222-22-220-4000400000000000000000002-20000000000000000000
χ494444-4-4-2-44-44-2-2-2222-22-240-40000000000000000000-200000020000000000000000
χ504444-4-4-2-44-44-2-2-2222-22-2-40400000000000000000002000000-20000000000000000
χ514-44-44-4-24-4-4422-2-222-2-220000004i−4i0000000000000000000−2i2i00000000000000000
χ524-44-44-4-24-4-4422-2-222-2-22000000−4i4i00000000000000000002i−2i00000000000000000
χ534-44-44-4-2-444-422-2-22-222-2000000004i−4i−2i−2i2i2i00000000000000000000000000000000
χ544-44-44-4-2-444-422-2-22-222-200000000−4i4i2i2i−2i−2i00000000000000000000000000000000
χ554-44-4-44444-4-4-4-44-44-4-4440000000000000000000000000000000000000000000000
χ564-44-4-444-4-444-4-44-4444-4-40000000000000000000000000000000000000000000000
χ574-44-4-44-244-4-422-22-222-2-20000000000000000000000000000000000−2i32i30000000000
χ584-44-4-44-244-4-422-22-222-2-200000000000000000000000000000000002i3−2i30000000000
χ594-44-4-44-2-4-44422-22-2-2-2220000000000000000000000000000000023−23000000000000
χ604-44-4-44-2-4-44422-22-2-2-22200000000000000000000000000000000−2323000000000000
χ6188-8-800800008-8-80000000000000000000000000000000000000000000000000000
χ6288-8-800-40000-4440000000000000000−2i32i3−2i32i300000000000000000000000000000000
χ6388-8-800-40000-44400000000000000002i3−2i32i3−2i300000000000000000000000000000000
χ648-8-880080000-88-80000000000000000000000000000000000000000000000000000
χ658-8-8800-400004-44000000000000000023−23−232300000000000000000000000000000000
χ668-8-8800-400004-440000000000000000−232323−2300000000000000000000000000000000

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