Finite Group Databasebeta

← Group #10769017

Character table — Group #10769017

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224444666688888888888888881212161616161616161616161616161624242424242424242424242448
order1222223666446644442444444444881212121244681212121212121212242424242444444444888
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-1-1-11111111-1-1-111-1-111-1-1-111-1-1-111-1-1-1-11
χ411111111111111111111-1-1-1-1-1-11111-1-111111-11-1-1-1-1-111-1-111-111-1-1-1-1-11111-1
χ5111111111111111111-1-111-1-11111-1-1111111-1-1-11-1-11111-1-1-1-11-1-11-1-11111-1-1-1
χ6111111111111111111-1-111-1-1-1-1-1-111111111-11-11-1-1-1-1-1-111111-1-11-1-1-1-1-1-1111
χ7111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1
χ8111111111111111111-1-1-1-111-1-111-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-111-1-111-1-11
χ911111111111111-1-1-1-11111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ1111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1111-1-1-111-1-111-1-11-1-1111-1-11111-1
χ1211111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11-11-1-1-1-1-111-1-1111-1-111111-1-1-1-11
χ1311111111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-111-111-1-1-1-1111
χ1411111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11-11-1-1-1-1-1-11111-111-1111111-1-1-1
χ1511111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11
χ1611111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-11-1-111-1-11111-1-11111-1-111-1-111-1
χ172222222222-2-22222-2-2002-200000000-2-2-2-22-200020000000000-2002000000000
χ182222222222-2-22222-2-200-220000000022-2-22-2000-20000000000200-2000000000
χ192222222222-2-222-2-222002-200000000-2-2-2-2-2200020000000000200-2000000000
χ202222222222-2-222-2-22200-220000000022-2-2-22000-20000000000-2002000000000
χ21222222-1-1-1-122-1-10000222222222222-1-1-1-100-12-1-1-1-1-1-1-1-1-1-1-1-10000000000000
χ22222222-1-1-1-122-1-10000222222-2-2-2-2-2-2-1-1-1-100-1-2-1-1-1-1111111110000000000000
χ23222222-1-1-1-122-1-1000022-2-2-2-222-2-2-2-211-1-100-12-1111-1-111-1-1110000000000000
χ24222222-1-1-1-122-1-1000022-2-2-2-2-2-2222211-1-100-1-2-111111-1-111-1-10000000000000
χ25222222-1-1-1-122-1-10000-2-222-2-22222-2-2-1-1-1-1001-21-111-1-1-1-111110000000000000
χ26222222-1-1-1-122-1-10000-2-222-2-2-2-2-2-222-1-1-1-100121-1111111-1-1-1-10000000000000
χ27222222-1-1-1-122-1-10000-2-2-2-22222-2-22211-1-1001-211-1-1-1-11111-1-10000000000000
χ28222222-1-1-1-122-1-10000-2-2-2-222-2-222-2-211-1-1001211-1-111-1-1-1-1110000000000000
χ292222-2-222222-2-2-2222200002-2000000002-2-2-200002-20000000000002-20000000
χ302222-2-222222-2-2-222220000-22000000002-2-2-20000-22000000000000-220000000
χ312222-2-222222-2-2-2-2-2-2-200002-2000000002-22200002-2000000000000-220000000
χ322222-2-222222-2-2-2-2-2-2-20000-22000000002-2220000-220000000000002-20000000
χ332222-2-22222-22-2-222-2-22-2000000000000-22-2220-20000000000002-20000000000
χ342222-2-22222-22-2-222-2-2-22000000000000-22-22-202000000000000-220000000000
χ352222-2-22222-22-2-2-2-2222-2000000000000-222-220-2000000000000-220000000000
χ362222-2-22222-22-2-2-2-222-22000000000000-222-2-2020000000000002-20000000000
χ37444444-2-2-2-2-4-4-2-20000004-400000000222200000-200000000000000000000000
χ38444444-2-2-2-2-4-4-2-2000000-4400000000-2-22200000200000000000000000000000
χ394444-4-4-2-2-2-24-422000000004-400000000-22000000-22000000000000000000000
χ404444-4-4-2-2-2-24-42200000000-4400000000-220000002-2000000000000000000000
χ414444-4-4-2-2-2-2-442200004-40000000000002-200-202000000000000000000000000
χ424444-4-4-2-2-2-2-44220000-440000000000002-20020-2000000000000000000000000
χ4344-4-44-444-4-400-440000000000000022−2200000000000000000022−220000000000000
χ4444-4-44-444-4-400-4400000000000000−2222000000000000000000−22220000000000000
χ4544-4-44-4-2-222002-20000000000000022−2223−23000000000000006−6−220000000000000
χ4644-4-44-4-2-222002-20000000000000022−22−232300000000000000−66−220000000000000
χ4744-4-44-4-2-222002-200000000000000−222223−2300000000000000−662−20000000000000
χ4844-4-44-4-2-222002-200000000000000−2222−2323000000000000006−62−20000000000000
χ4944-4-4-4444-4-4004-4000000000000000000000000000000000000000000000022−220
χ5044-4-4-4444-4-4004-40000000000000000000000000000000000000000000000−22220
χ514-44-4004-44-40000004i−4i0000002i−2i00000000000000002i−2i0000000000002-200000
χ524-44-4004-44-40000004i−4i000000−2i2i0000000000000000−2i2i000000000000-2200000
χ534-44-4004-44-4000000−4i4i0000002i−2i00000000000000002i−2i000000000000-2200000
χ544-44-4004-44-4000000−4i4i000000−2i2i0000000000000000−2i2i0000000000002-200000
χ554-4-44004-4-4400004i−4i00000000002i−2i00000000000000002i−2i0000000000002-2000
χ564-4-44004-4-4400004i−4i0000000000−2i2i0000000000000000−2i2i000000000000-22000
χ574-4-44004-4-440000−4i4i00000000002i−2i00000000000000002i−2i000000000000-22000
χ584-4-44004-4-440000−4i4i0000000000−2i2i0000000000000000−2i2i0000000000002-2000
χ5988-8-8-88-4-44400-440000000000000000000000000000000000000000000000000
χ608-88-800-44-44000000000000004i−4i0000000000000000−2i2i0000000000000000000
χ618-88-800-44-4400000000000000−4i4i00000000000000002i−2i0000000000000000000
χ628-8-8800-444-400000000000000004i−4i0000000000000000−2i2i00000000000000000
χ638-8-8800-444-40000000000000000−4i4i00000000000000002i−2i00000000000000000

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