Finite Group Databasebeta

← Group #308504

Character table — Group #308504

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111
χ51111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11-1-11111-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111111
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-1-1-11-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11111-1-111111-1-1-1
χ911111111111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-111-1-11
χ1011111111111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111-1-111-1
χ1111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1111111-1-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-111-1-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-111111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-111111-1-11111-1
χ172222222222-2-2-222-2-20000-22222222200-2-20000-2-200000000000000000-20000000
χ182222222222-2-2-222-2-20000-22222-2-2-2-200220000-2-20000000000000000020000000
χ192222222222-2-2-222-2-20000-2-2-2-2-222-2-200-2-20000220000000000000000020000000
χ202222222222-2-2-222-2-20000-2-2-2-2-2-2-222002200002200000000000000000-20000000
χ2122222222-2-2222-2-22-22222-2000000002200-2-222000000-2-20000-200000000000000
χ2222222222-2-2222-2-22-22222-200000000-2-200-2-2-2-2000000220000200000000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-200000000220022-2-2000000220000-200000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-200000000-2-2002222000000-2-20000200000000000000
χ25222-2-2-22-2222-22-2-2-2222-2-2-20000000000002-2000000000000000002-20002-200000
χ26222-2-2-22-2222-22-2-2-2222-2-2-20000000000002-200000000000000000-22000-2200000
χ27222-2-2-22-2222-22-2-2-22-2-222-2000000000000-22000000000000000002-2000-2200000
χ28222-2-2-22-2222-22-2-2-22-2-222-2000000000000-2200000000000000000-220002-200000
χ29222-2-2-22-2-2-22-2222-2-222-2-2200002i−2i00002i−2i-2200000000000000000002i−2i00000000
χ30222-2-2-22-2-2-22-2222-2-222-2-220000−2i2i0000−2i2i-220000000000000000000−2i2i00000000
χ31222-2-2-22-2-2-22-2222-2-2-2-222200002i−2i00002i−2i2-20000000000000000000−2i2i00000000
χ32222-2-2-22-2-2-22-2222-2-2-2-22220000−2i2i0000−2i2i2-200000000000000000002i−2i00000000
χ33222-2-2-22-2-2-2-22-222220000-200002i−2i0000−2i2i00000022-2-200000002i−2i000000000000
χ34222-2-2-22-2-2-2-22-222220000-200002i−2i0000−2i2i000000-2-2220000000−2i2i000000000000
χ35222-2-2-22-2-2-2-22-222220000-20000−2i2i00002i−2i00000022-2-20000000−2i2i000000000000
χ36222-2-2-22-2-2-2-22-222220000-20000−2i2i00002i−2i000000-2-22200000002i−2i000000000000
χ372-2-22-222-2002-2-200202i−2i2i−2i0i2i2−i2−i200002-200002i−2ii2−i22−22−20022−2−20000000000i2−i2000
χ382-2-22-222-2002-2-200202i−2i2i−2i0i2i2−i2−i20000-220000−2i2ii2−i22−22−200−2−2220000000000−i2i2000
χ392-2-22-222-2002-2-200202i−2i2i−2i0−i2−i2i2i200002-200002i−2i−i2i2−22−2200−2−2220000000000−i2i2000
χ402-2-22-222-2002-2-200202i−2i2i−2i0−i2−i2i2i20000-220000−2i2i−i2i2−22−220022−2−20000000000i2−i2000
χ412-2-22-222-2002-2-20020−2i2i−2i2i0i2i2−i2−i200002-20000−2i2ii2−i2−22−2200−2−2220000000000i2−i2000
χ422-2-22-222-2002-2-20020−2i2i−2i2i0i2i2−i2−i20000-2200002i−2ii2−i2−22−220022−2−20000000000−i2i2000
χ432-2-22-222-2002-2-20020−2i2i−2i2i0−i2−i2i2i200002-20000−2i2i−i2i22−22−20022−2−20000000000−i2i2000
χ442-2-22-222-2002-2-20020−2i2i−2i2i0−i2−i2i2i20000-2200002i−2i−i2i22−22−200−2−2220000000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-444-44-4-4-44-4000040000000000000000000000000000000000000000000
χ4744-444-4-4-44-40004-4000000000000000000000000000000022−2222−22000000000000000
χ4844-444-4-4-44-40004-40000000000000000000000000000000−2222−2222000000000000000
χ4944-444-4-4-4-44000-4400000004-44-4000000000000000000000000000000000000000
χ5044-444-4-4-4-44000-440000000-44-44000000000000000000000000000000000000000
χ5144-4-4-44-444-4000-4400000000000004i−4i00000000000000000000000000000000000
χ5244-4-4-44-444-4000-440000000000000−4i4i00000000000000000000000000000000000
χ5344-4-4-44-44-440004-4000000000000000000000000000000000000000000000002i2−2i20
χ5444-4-4-44-44-440004-400000000000000000000000000000000000000000000000−2i22i20
χ554-444-4-4-44000000000000002i2−2i2−2i22i20000000000000000002i2−2i22-2-22000000000000000
χ564-444-4-4-44000000000000002i2−2i2−2i22i2000000000000000000−2i22i2-222-2000000000000000
χ574-444-4-4-4400000000000000−2i22i22i2−2i20000000000000000002i2−2i2-222-2000000000000000
χ584-444-4-4-4400000000000000−2i22i22i2−2i2000000000000000000−2i22i22-2-22000000000000000
χ594-4-44-444-400-44400-40000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ604-4-44-444-400-44400-4000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ614-4-4-44-4440044-400-404i−4i−4i4i00000000000000000000000000000000000000000000
χ624-4-4-44-4440044-400-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ634-4-4-44-44400-4-4400400000000000000000000000022−22−2222000000000000000000000
χ644-4-4-44-44400-4-44004000000000000000000000000−222222−22000000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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