Finite Group Databasebeta

← Group #10776647

Character table — Group #10776647

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222444444444444444888888888888888888161616161616161616162424242424242424242424244848
order12223444466624444121212121212121212122444688881224242424242424246881212122424242422224444888824
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ7111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1111111-1-1
χ911111-1-1-1-1111-1-1111-1-1-1-1-1-1111111-1-1-111-1-111111-1-1-1-111-11-1-111-1-11-11-11-11-111-1-11-1
χ1011111-1-1-1-1111-1-1111-1-1-1-1-1-1111111-1-1-111-1-111111-1-1-1-111-11-1-111-1-1-11-11-11-11-1-111-11
χ1111111-1-1-1-1111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-111111-111-1-1-1-1111-11-11-11-1-1-111-11
χ1211111-1-1-1-1111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-111111-111-1-1-1-111-11-11-11-1111-1-11-1
χ1311111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111-111-1-111111-1-1-1-1-1-11-111-1-1111-1-111-1-1111-1-1-11
χ1411111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111-111-1-111111-1-1-1-1-1-11-111-1-111-111-1-111-1-1-1111-1
χ1511111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111-1-1-1111-1-1-1-11111-11-1-11111-1-11-1-111-1-11-1-1111-1
χ1611111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111-1-1-1111-1-1-1-11111-11-1-11111-1-1-111-1-111-111-1-1-11
χ17222222222222-2-2-2-222222-2-2-2-2-2-22-2-22-20000200000000200-22-2000000000000000000
χ18222222222222-2-2-2-222222-2-2-2-2-2-2-222-2-20000200000000-2002-22000000000000000000
χ192222222-2-22222-22-2-222-2-2-2-222-2-2000020000-20000000000000000002-200-2200000000
χ202222222-2-22222-22-2-222-2-2-2-222-2-2000020000-2000000000000000000-22002-200000000
χ212222222-2-2222-22-22-222-2-222-2-2220000-20000-2000000000000000000002-200-22000000
χ222222222-2-2222-22-22-222-2-222-2-2220000-20000-200000000000000000000-22002-2000000
χ2322222-2-2222222-2-22-2-2-222-2-2-2-222000020000-2000000000000000000002200-2-2000000
χ2422222-2-2222222-2-22-2-2-222-2-2-2-222000020000-200000000000000000000-2-20022000000
χ2522222-2-222222-222-2-2-2-2222222-2-20000-20000-20000000000000000002200-2-200000000
χ2622222-2-222222-222-2-2-2-2222222-2-20000-20000-2000000000000000000-2-2002200000000
χ2722222-2-2-2-222222-2-22-2-2-2-222-2-2-2-22-22-220000200000000200-2-22000000000000000000
χ2822222-2-2-2-222222-2-22-2-2-2-222-2-2-2-2-22-2220000200000000-20022-2000000000000000000
χ292222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-100000000000000
χ302222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-12222-1-2-2-2-2-111111111-1-2-2-1-1-1111100000000000000
χ312222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-11-2-2111111100000000000000
χ322222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-2-2-111111111122111-1-1-1-100000000000000
χ332222-12222-1-1-1-2-2-2-22-1-1-1-11111112-2-2210000-133−3−333−3−3-1001-113−33−300000000000000
χ342222-12222-1-1-1-2-2-2-22-1-1-1-11111112-2-2210000-1−3−333−3−333-1001-11−33−3300000000000000
χ352222-12222-1-1-1-2-2-2-22-1-1-1-1111111-222-210000-133−3−333−3−3100-11-1−33−3300000000000000
χ362222-12222-1-1-1-2-2-2-22-1-1-1-1111111-222-210000-1−3−333−3−333100-11-13−33−300000000000000
χ372222-1-2-2-2-2-1-1-122-2-221111-1-111112-22-2-10000-133−3−3−3−333-10011-13−3−3300000000000000
χ382222-1-2-2-2-2-1-1-122-2-221111-1-111112-22-2-10000-1−3−33333−3−3-10011-1−333−300000000000000
χ392222-1-2-2-2-2-1-1-122-2-221111-1-11111-22-22-10000-133−3−3−3−333100-1-11−333−300000000000000
χ402222-1-2-2-2-2-1-1-122-2-221111-1-11111-22-22-10000-1−3−33333−3−3100-1-113−3−3300000000000000
χ412222-1-2-2-2-2-1-1-1-2-2222111111-1-1-1-122-2-2122-2-2-1-1-1-1-11111-12-2-111-1-11100000000000000
χ422222-1-2-2-2-2-1-1-1-2-2222111111-1-1-1-122-2-21-2-222-11111-1-1-1-1-1-22-11111-1-100000000000000
χ432222-1-2-2-2-2-1-1-1-2-2222111111-1-1-1-1-2-222122-2-2-1-1-1-1-111111-221-1-111-1-100000000000000
χ442222-1-2-2-2-2-1-1-1-2-2222111111-1-1-1-1-2-2221-2-222-11111-1-1-1-112-21-1-1-1-11100000000000000
χ454444-244-4-4-2-2-24-44-4-4-2-22222-2-2220000-20000200000000000000000000000000000000
χ464444-244-4-4-2-2-2-44-44-4-2-222-2-222-2-2000020000200000000000000000000000000000000
χ474444-2-4-444-2-2-24-4-44-422-2-22222-2-20000-20000200000000000000000000000000000000
χ484444-2-4-444-2-2-2-444-4-422-2-2-2-2-2-222000020000200000000000000000000000000000000
χ4944-4-444i−4i004-4-4000004i−4i000000000000000000000000000000000000000000002-22i−2i00
χ5044-4-444i−4i004-4-4000004i−4i00000000000000000000000000000000000000000000-22−2i2i00
χ5144-4-44−4i4i004-4-400000−4i4i000000000000000000000000000000000000000000002-2−2i2i00
χ5244-4-44−4i4i004-4-400000−4i4i00000000000000000000000000000000000000000000-222i−2i00
χ534-4-444004-4-44-400000004-4000000000002-22-202-22-22-22-2000000000000000000000000
χ544-4-444004-4-44-400000004-400000000000-22-220-22-22-22-22000000000000000000000000
χ554-4-44400-44-44-40000000-44000000000002-2-2202-22-2-22-22000000000000000000000000
χ564-4-44400-44-44-40000000-4400000000000-222-20-22-222-22-2000000000000000000000000
χ574-4-44-2004-42-220000000-2223−2323−2300000002-22-20−1+31−3−1−31+3−1+31−3−1−31+3000000000000000000000000
χ584-4-44-2004-42-220000000-2223−2323−230000000-22-2201−3−1+31+3−1−31−3−1+31+3−1−3000000000000000000000000
χ594-4-44-2004-42-220000000-22−2323−232300000002-22-20−1−31+3−1+31−3−1−31+3−1+31−3000000000000000000000000
χ604-4-44-2004-42-220000000-22−2323−23230000000-22-2201+3−1−31−3−1+31+3−1−31−3−1+3000000000000000000000000
χ614-4-44-200-442-2200000002-223−23−232300000002-2-220−1−31+3−1+31−31+3−1−31−3−1+3000000000000000000000000
χ624-4-44-200-442-2200000002-223−23−23230000000-222-201+3−1−31−3−1+3−1−31+3−1+31−3000000000000000000000000
χ634-4-44-200-442-2200000002-2−232323−2300000002-2-220−1+31−3−1−31+31−3−1+31+3−1−3000000000000000000000000
χ644-4-44-200-442-2200000002-2−232323−230000000-222-201−3−1+31+3−1−3−1+31−3−1−31+3000000000000000000000000
χ6588-8-8-48i−8i00-44400000−4i4i00000000000000000000000000000000000000000000000000
χ6688-8-8-4−8i8i00-444000004i−4i00000000000000000000000000000000000000000000000000
χ678-88-880000-8-88000000000000000000000000000000000000000000000000000000000
χ688-88-8-4000044-4000000000000043−43000000000000000000000000000000000000000000
χ698-88-8-4000044-40000000000000−4343000000000000000000000000000000000000000000

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