Finite Group Databasebeta

← Group #295294

Character table — Group #295294

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1111-1-11111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111111111
χ5111111111111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1
χ6111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-1-11-11-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1
χ9111111111111-1-1-1-11-1-1-1-11111111-111-1-11111-1-1-1-11111-1-1-1-11-1-1-1-111-111-1-111-1-1
χ10111111111111-1-1-1-11-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-111-1-111
χ11111111111111-1-1-1-11-1-1-1-111111-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-1-1-11-1-111-1-111
χ12111111111111-1-1-1-11-1-1-1-111111-1-1-11111-1-1-1-11111-1-1-1-11111-11-11-1-1-1111-1-111-1-1
χ13111111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-111-1111-1-1-1-111
χ14111111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-111-11-1-11111-1-1
χ15111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1111-11-1-1-11111-1-1
χ16111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1111-11-111-1-1-1-111
χ172222222222222222-222-2-2-2-2-20022-200220000000000000000000-20-20000000000
χ182222222222222222-222-2-2-2-2-200-2-2-200-2-200000000000000000002020000000000
χ19222222222222-2-2-2-2-2-2-222-2-2-20022200-2-2000000000000000000020-20000000000
χ20222222222222-2-2-2-2-2-2-222-2-2-200-2-2200220000000000000000000-2020000000000
χ2122222222-2-2-2-222222-2-2-2-2-2-2222002-2-20000000000000000000020-200000000000
χ2222222222-2-2-2-222222-2-2-2-2-2-22-2-20022200000000000000000000-20200000000000
χ2322222222-2-2-2-22222-2-2-22222-20000-2000000000000000000002-20000-2200000000
χ2422222222-2-2-2-22222-2-2-22222-20000-200000000000000000000-2200002-200000000
χ2522222222-2-2-2-2-2-2-2-222222-2-222200-2-2-200000000000000000000-20200000000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22-2-200-2220000000000000000000020-200000000000
χ2722222222-2-2-2-2-2-2-2-2-222-2-222-20000200000000000000000000220000-2-200000000
χ2822222222-2-2-2-2-2-2-2-2-222-2-222-20000200000000000000000000-2-200002200000000
χ2922-222-2-2-22-22-20000-200002-222i−2i0002i−2i00000022-2-200002i2i−2i−2i0000000000000000
χ3022-222-2-2-22-22-20000-200002-222i−2i0002i−2i000000-2-2220000−2i−2i2i2i0000000000000000
χ3122-222-2-2-22-22-20000-200002-22−2i2i000−2i2i00000022-2-20000−2i−2i2i2i0000000000000000
χ3222-222-2-2-22-22-20000-200002-22−2i2i000−2i2i000000-2-22200002i2i−2i−2i0000000000000000
χ3322-222-2-2-2-22-220000-20000-2222i−2i000−2i2i0022-2-200002i2i−2i−2i00000000000000000000
χ3422-222-2-2-2-22-220000-20000-2222i−2i000−2i2i00-2-2220000−2i−2i2i2i00000000000000000000
χ3522-222-2-2-2-22-220000-20000-222−2i2i0002i−2i0022-2-20000−2i−2i2i2i00000000000000000000
χ3622-222-2-2-2-22-220000-20000-222−2i2i0002i−2i00-2-22200002i2i−2i−2i00000000000000000000
χ372-222-22-2-2-2-22222-2-202-200000002i−2i0002i−2i00000000i2−i2i2−i2i2−i2i2−i20000000000002−22−2
χ382-222-22-2-2-2-22222-2-202-200000002i−2i0002i−2i00000000−i2i2−i2i2−i2i2−i2i2000000000000−22−22
χ392-222-22-2-2-2-22222-2-202-20000000−2i2i000−2i2i00000000i2−i2i2−i2i2−i2i2−i2000000000000−22−22
χ402-222-22-2-2-2-22222-2-202-20000000−2i2i000−2i2i00000000−i2i2−i2i2−i2i2−i2i20000000000002−22−2
χ412-222-22-2-2-2-222-2-2220-2200000002i−2i000−2i2i00000000i2−i2i2−i2−i2i2−i2i20000000000002−2−22
χ422-222-22-2-2-2-222-2-2220-2200000002i−2i000−2i2i00000000−i2i2−i2i2i2−i2i2−i2000000000000−222−2
χ432-222-22-2-2-2-222-2-2220-220000000−2i2i0002i−2i00000000i2−i2i2−i2−i2i2−i2i2000000000000−222−2
χ442-222-22-2-2-2-222-2-2220-220000000−2i2i0002i−2i00000000−i2i2−i2i2i2−i2i2−i20000000000002−2−22
χ45444-4-4-4-4400004i−4i4i−4i000000000000000002-22-22i−2i2i−2i000000000000000000000000
χ46444-4-4-4-4400004i−4i4i−4i00000000000000000-22-22−2i2i−2i2i000000000000000000000000
χ47444-4-4-4-440000−4i4i−4i4i000000000000000002-22-2−2i2i−2i2i000000000000000000000000
χ48444-4-4-4-440000−4i4i−4i4i00000000000000000-22-222i−2i2i−2i000000000000000000000000
χ4944-444-4-4-44-44-4000040000-44-400000000000000000000000000000000000000000
χ5044-444-4-4-4-44-440000400004-4-400000000000000000000000000000000000000000
χ5144-4-4-444-4000000000004i−4i0000000000002-2-222i−2i−2i2i000000000000000000000000
χ5244-4-4-444-4000000000004i−4i000000000000-222-2−2i2i2i−2i000000000000000000000000
χ5344-4-4-444-400000000000−4i4i0000000000002-2-22−2i2i2i−2i000000000000000000000000
χ5444-4-4-444-400000000000−4i4i000000000000-222-22i−2i−2i2i000000000000000000000000
χ554-444-44-4-444-4-444-4-40-440000000000000000000000000000000000000000000000
χ564-444-44-4-444-4-4-4-44404-40000000000000000000000000000000000000000000000
χ574-44-44-44-400004i−4i−4i4i000000000000000000000000000000000000000002-22i−2i0000
χ584-44-44-44-400004i−4i−4i4i00000000000000000000000000000000000000000-22−2i2i0000
χ594-44-44-44-40000−4i4i4i−4i000000000000000000000000000000000000000002-2−2i2i0000
χ604-44-44-44-40000−4i4i4i−4i00000000000000000000000000000000000000000-222i−2i0000
χ614-4-44-4-4444-4-440000000000000000000000000000022−22−222200000000000000000000
χ624-4-44-4-4444-4-4400000000000000000000000000000−222222−2200000000000000000000
χ634-4-44-4-444-444-400000000000000000000000000000000022−22−22220000000000000000
χ644-4-44-4-444-444-4000000000000000000000000000000000−222222−220000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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