Finite Group Databasebeta

← Group #280210

Character table — Group #280210

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888222244448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-111111-1-1111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1111-1-11111-1-1-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11111-1-111-1-111-1
χ17222222222-22-2-222-2-22222-20000-2-2000000220022-2-2000000000-20000000000000
χ18222222222-22-2-222-2-22222-20000-2-2000000-2-200-2-22200000000020000000000000
χ19222222222-22-2-222-2-2-2-2-2-2-20000220000002200-2-222000000000-20000000000000
χ20222222222-22-2-222-2-2-2-2-2-2-2000022000000-2-20022-2-200000000020000000000000
χ2122222222-22-222-2-22-20000-22222002222-2-200-2-2000000000000-200000000000000
χ2222222222-22-222-2-22-20000-2222200-2-2-2-22200-2-2000000000000200000000000000
χ2322222222-22-222-2-22-20000-2-2-2-2-20022-2-2-2-20022000000000000200000000000000
χ2422222222-22-222-2-22-20000-2-2-2-2-200-2-222220022000000000000-200000000000000
χ25222-22-2-2-2-202002-2002i2i−2i−2i0i2i2−i2−i2000000002i−2ii2−i22-20022−2−2i2i2−i2−i20000000000002−20
χ26222-22-2-2-2-202002-2002i2i−2i−2i0i2i2−i2−i200000000−2i2ii2−i2-220022−2−2−i2−i2i2i2000000000000−220
χ27222-22-2-2-2-202002-2002i2i−2i−2i0−i2−i2i2i2000000002i−2i−i2i22-200−2−222−i2−i2i2i2000000000000−220
χ28222-22-2-2-2-202002-2002i2i−2i−2i0−i2−i2i2i200000000−2i2i−i2i2-2200−2−222i2i2−i2−i20000000000002−20
χ29222-22-2-2-2-202002-200−2i−2i2i2i0i2i2−i2−i2000000002i−2ii2−i2-2200−2−222−i2−i2i2i20000000000002−20
χ30222-22-2-2-2-202002-200−2i−2i2i2i0i2i2−i2−i200000000−2i2ii2−i22-200−2−222i2i2−i2−i2000000000000−220
χ31222-22-2-2-2-202002-200−2i−2i2i2i0−i2−i2i2i2000000002i−2i−i2i2-220022−2−2i2i2−i2−i2000000000000−220
χ32222-22-2-2-2-202002-200−2i−2i2i2i0−i2−i2i2i200000000−2i2i−i2i22-20022−2−2−i2−i2i2i20000000000002−20
χ332-222-2-22-222-2-2-22-2222i−2i2i−2i-200002i−2i0000000000000000000000002-20000002i−2i000
χ342-222-2-22-222-2-2-22-2222i−2i2i−2i-200002i−2i000000000000000000000000-22000000−2i2i000
χ352-222-2-22-222-2-2-22-222−2i2i−2i2i-20000−2i2i0000000000000000000000002-2000000−2i2i000
χ362-222-2-22-222-2-2-22-222−2i2i−2i2i-20000−2i2i000000000000000000000000-220000002i−2i000
χ372-222-2-22-22-2-2222-2-2-22i−2i2i−2i20000−2i2i2-2002-2000000000000000000002i−2i000000000
χ382-222-2-22-22-2-2222-2-2-22i−2i2i−2i20000−2i2i-2200-2200000000000000000000−2i2i000000000
χ392-222-2-22-22-2-2222-2-2-2−2i2i−2i2i200002i−2i2-2002-200000000000000000000−2i2i000000000
χ402-222-2-22-22-2-2222-2-2-2−2i2i−2i2i200002i−2i-2200-22000000000000000000002i−2i000000000
χ412-222-2-22-2-2-2222-22-220000-20000002-200-22000000002i−2i2i−2i00000000002i−2i0000000
χ422-222-2-22-2-2-2222-22-220000-20000002-200-2200000000−2i2i−2i2i0000000000−2i2i0000000
χ432-222-2-22-2-2-2222-22-220000-2000000-22002-2000000002i−2i2i−2i0000000000−2i2i0000000
χ442-222-2-22-2-2-2222-22-220000-2000000-22002-200000000−2i2i−2i2i00000000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-440-400-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ47444-44-4-4-440-400-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ4844-44-44-4-4000000000000002i2−2i22i2−2i2000000000000002i2−2i200002-22-2000000000000000
χ4944-44-44-4-4000000000000002i2−2i22i2−2i200000000000000−2i22i20000-22-22000000000000000
χ5044-44-44-4-400000000000000−2i22i2−2i22i2000000000000002i2−2i20000-22-22000000000000000
χ5144-44-44-4-400000000000000−2i22i2−2i22i200000000000000−2i22i200002-22-2000000000000000
χ5244-4-4-4-4440404-400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5344-4-4-4-4440404-400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5444-4-4-4-4440-40-440040000004-4-44000000000000000000000000000000000000000
χ5544-4-4-4-4440-40-44004000000-444-4000000000000000000000000000000000000000
χ564-444-4-44-4-444-4-4-444-4000040000000000000000000000000000000000000000000
χ574-44-4-44-4440400-4-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ584-44-4-44-4440400-4-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ594-44-4-44-44-40-40044004-4-4400000000000000000000000000000000000000000000
χ604-44-4-44-44-40-4004400-444-400000000000000000000000000000000000000000000
χ614-4-4-4444-4040-4400-4000000000000004i−4i000000000000000000000000000000000
χ624-4-4-4444-4040-4400-400000000000000−4i4i000000000000000000000000000000000
χ634-4-4-4444-40-404-400400000000000000000000000000000000000000000022−2200000
χ644-4-4-4444-40-404-4004000000000000000000000000000000000000000000−222200000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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