Finite Group Databasebeta

← Group #310490

Character table — Group #310490

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888222244448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-111111111111111-1-1-1-11-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111111-1-111-1
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11
χ911111111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-11-1-11111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1111-111-1-111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111
χ17222222222-22-2-222-2-20000-222222200-2-2002200000000-2-2000000000-2000000000
χ18222222222-22-2-222-2-20000-22222-2-2002200-2-200000000-2-20000000002000000000
χ19222222222-22-2-222-2-20000-2-2-2-2-222002200-2-20000000022000000000-2000000000
χ20222222222-22-2-222-2-20000-2-2-2-2-2-2-200-2-2002200000000220000000002000000000
χ2122222222-22-222-2-22-22222-2000000-2-200220022-2-200000000000000-20000000000
χ2222222222-22-222-2-22-22222-2000000-2-200-2-200-2-2220000000000000020000000000
χ2322222222-22-222-2-22-2-2-2-2-2-200000022002200-2-22200000000000000-20000000000
χ2422222222-22-222-2-22-2-2-2-2-2-20000002200-2-20022-2-20000000000000020000000000
χ25222-2-22-2-222-2-2-22-2220000-2000000002i−2i002i−2i000022-2-20000000000002i−2i0000000
χ26222-2-22-2-222-2-2-22-2220000-2000000002i−2i002i−2i0000-2-222000000000000−2i2i0000000
χ27222-2-22-2-222-2-2-22-2220000-200000000−2i2i00−2i2i000022-2-2000000000000−2i2i0000000
χ28222-2-22-2-222-2-2-22-2220000-200000000−2i2i00−2i2i0000-2-2220000000000002i−2i0000000
χ29222-2-22-2-22-2-2222-2-2-22i2i−2i−2i20000002i−2i2i−2i00−2i2i000000000000002-20000000000000
χ30222-2-22-2-22-2-2222-2-2-22i2i−2i−2i20000002i−2i−2i2i002i−2i00000000000000-220000000000000
χ31222-2-22-2-22-2-2222-2-2-2−2i−2i2i2i2000000−2i2i2i−2i00−2i2i00000000000000-220000000000000
χ32222-2-22-2-22-2-2222-2-2-2−2i−2i2i2i2000000−2i2i−2i2i002i−2i000000000000002-20000000000000
χ33222-2-22-2-2-2-2222-22-222i2i−2i−2i-2000000−2i2i00000000000000000000002-2000000002i−2i0
χ34222-2-22-2-2-2-2222-22-222i2i−2i−2i-2000000−2i2i0000000000000000000000-2200000000−2i2i0
χ35222-2-22-2-2-2-2222-22-22−2i−2i2i2i-20000002i−2i00000000000000000000002-200000000−2i2i0
χ36222-2-22-2-2-2-2222-22-22−2i−2i2i2i-20000002i−2i0000000000000000000000-22000000002i−2i0
χ372-2-2-2-22220-202-200202-22-2022−2−20000002-2002-2002−22−22−222−2−2000000002−200000
χ382-2-2-2-22220-202-200202-22-2022−2−2000000-2200-22002−22−22−2−2−22200000000−2200000
χ392-2-2-2-22220-202-200202-22-20−2−2220000002-2002-200−22−22−22−2−22200000000−2200000
χ402-2-2-2-22220-202-200202-22-20−2−222000000-2200-2200−22−22−2222−2−2000000002−200000
χ412-2-2-2-22220-202-20020-22-22022−2−20000002-200-2200−22−222−2−2−222000000002−200000
χ422-2-2-2-22220-202-20020-22-22022−2−2000000-22002-200−22−222−222−2−200000000−2200000
χ432-2-2-2-22220-202-20020-22-220−2−2220000002-200-22002−22−2−2222−2−200000000−2200000
χ442-2-2-2-22220-202-20020-22-220−2−222000000-22002-2002−22−2−22−2−222000000002−200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-4-444-4-4-444-4000040000000000000000000000000000000000000000000
χ4744-44-4-44-440400-4-40000000000000000000000000000000000000000000002i2−2i2000
χ4844-44-4-44-440400-4-4000000000000000000000000000000000000000000000−2i22i2000
χ4944-44-4-44-4-40-40044000000000004-40000000000000000000000000000000000000
χ5044-44-4-44-4-40-4004400000000000-440000000000000000000000000000000000000
χ5144-4-44-4-4440-400-44000000000000000000000000000000022−2222−22000000000000000
χ5244-4-44-4-4440-400-440000000000000000000000000000000−2222−2222000000000000000
χ5344-4-44-4-44-404004-400000004-44-4000000000000000000000000000000000000000
χ5444-4-44-4-44-404004-40000000-44-44000000000000000000000000000000000000000
χ554-444-4-4-440000000000000022−22−222200000000000022−220000002-2-22000000000000000
χ564-444-4-4-440000000000000022−22−2222000000000000−2222000000-222-2000000000000000
χ574-444-4-4-4400000000000000−222222−2200000000000022−22000000-222-2000000000000000
χ584-444-4-4-4400000000000000−222222−22000000000000−22220000002-2-22000000000000000
χ594-4-4444-4-40404-400-404i−4i−4i4i00000000000000000000000000000000000000000000
χ604-4-4444-4-40404-400-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ614-4-4444-4-40-40-4400400000000000000000000000022−22−2222000000000000000000000
χ624-4-4444-4-40-40-44004000000000000000000000000−222222−22000000000000000000000
χ634-4-4-4-4444040-4400-40000002222−22−22000000000000000000−22220000000000000000000
χ644-4-4-4-4444040-4400-4000000−22−22222200000000000000000022−220000000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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