Finite Group Databasebeta

← Group #238770

Character table — Group #238770

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222222224444444488888888888888888888888816161616161616161616161616161616
order12222222444444444444224444448888888888888888888888882224444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11-1-111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-1
χ911111111111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-111-1-11-1-1-1-1
χ1011111111111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-11-1-1-1-1-11111
χ1111111111111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-11-1-1111-1111
χ1211111111111-1-1-1-111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11-11111-11-1-1-1
χ1311111111111-1-1-1-111111-1-11-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-11-1-1-111-11-111
χ1411111111111-1-1-1-111111-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-11-1-1
χ1511111111111-1-1-1-111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-111-1111-1-1-111-1-1
χ1611111111111-1-1-1-111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-11-1-111
χ17222222222222222-2-2-2-2222-2-2-2-2-2-20000000000000000000000002-2000000000-22000
χ18222222222222222-2-2-2-2222-2-2-2-2-2-2000000000000000000000000-220000000002-2000
χ1922222222222-2-2-2-2-2-2-2-22-2-2-22222-200000000000000000000000022000000000-2-2000
χ2022222222222-2-2-2-2-2-2-2-22-2-2-22222-2000000000000000000000000-2-200000000022000
χ2122222222-2-2-222222222-2-2-2-222-2-2-200000000000000000000000000200-2-2000000200
χ2222222222-2-2-222222222-2-2-2-222-2-2-200000000000000000000000000-20022000000-200
χ2322222222-2-2-22222-2-2-2-2-2-2-22-2-22220000000000000000000000000002-200002-200000
χ2422222222-2-2-22222-2-2-2-2-2-2-22-2-2222000000000000000000000000000-220000-2200000
χ2522222222-2-2-2-2-2-2-22222-222-2-2-222-200000000000000000000000000200-22000000-200
χ2622222222-2-2-2-2-2-2-22222-222-2-2-222-200000000000000000000000000-2002-2000000200
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-220000000000000000000000000002-20000-2200000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-22000000000000000000000000000-2200002-200000
χ292-222-2-22-222-222-2-222-2-2-22-2-22-22-2200000000000000000000000000000002i−2i000002i−2i
χ302-222-2-22-222-222-2-222-2-2-22-2-22-22-220000000000000000000000000000000−2i2i00000−2i2i
χ312-222-2-22-222-222-2-2-2-222-22-22-22-22-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ322-222-2-22-222-222-2-2-2-222-22-22-22-22-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ332-222-2-22-222-2-2-22222-2-2-2-22-2-22-22200000000000000000000000000000002i−2i00000−2i2i
χ342-222-2-22-222-2-2-22222-2-2-2-22-2-22-2220000000000000000000000000000000−2i2i000002i−2i
χ352-222-2-22-222-2-2-222-2-222-2-2222-22-2-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ362-222-2-22-222-2-2-222-2-222-2-2222-22-2-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ372-222-2-22-2-2-2222-2-222-2-22-2222-2-22-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ382-222-2-22-2-2-2222-2-222-2-22-2222-2-22-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ392-222-2-22-2-2-2222-2-2-2-2222-22-2-222-22000000000000000022-2-222-2-20000000000000000
χ402-222-2-22-2-2-2222-2-2-2-2222-22-2-222-220000000000000000-2-222-2-2220000000000000000
χ412-222-2-22-2-2-22-2-22222-2-222-22-222-2-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ422-222-2-22-2-2-22-2-22222-2-222-22-222-2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ432-222-2-22-2-2-22-2-222-2-22222-2-22-2-222000000000000000022-2-2-2-2220000000000000000
χ442-222-2-22-2-2-22-2-222-2-22222-2-22-2-2220000000000000000-2-22222-2-20000000000000000
χ45444-44-4-4-44-4400000000-40000000022−2222−22000000000000000000000000000000000000
χ46444-44-4-4-44-4400000000-400000000−2222−2222000000000000000000000000000000000000
χ47444-44-4-4-4-44-40000000040000000000002i2−2i22i2−2i200000000000000000000000000000000
χ48444-44-4-4-4-44-4000000004000000000000−2i22i2−2i22i200000000000000000000000000000000
χ4944-44-4-4-440004i−4i4i−4i000000000000000000000000000002-22-22i−2i2i−2i0000000000000000
χ5044-44-4-4-440004i−4i4i−4i00000000000000000000000000000-22-22−2i2i−2i2i0000000000000000
χ5144-44-4-4-44000−4i4i−4i4i000000000000000000000000000002-22-2−2i2i−2i2i0000000000000000
χ5244-44-4-4-44000−4i4i−4i4i00000000000000000000000000000-22-222i−2i2i−2i0000000000000000
χ5344-4-4-444-400000004-44-40000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ5444-4-4-444-400000004-44-4000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ5544-4-4-444-40000000-44-44000000000000000002i2−2i22i2−2i20000000000000000000000000000
χ5644-4-4-444-40000000-44-4400000000000000000−2i22i2−2i22i20000000000000000000000000000
χ574-44-4-44-444-4-400000000400000000000022−22−222200000000000000000000000000000000
χ584-44-4-44-444-4-4000000004000000000000−222222−2200000000000000000000000000000000
χ594-44-4-44-44-44400000000-4000000002i2−2i2−2i22i2000000000000000000000000000000000000
χ604-44-4-44-44-44400000000-400000000−2i22i22i2−2i2000000000000000000000000000000000000
χ614-4-4444-4-40004i−4i−4i4i000000000000000000000000000002-2-222i−2i−2i2i0000000000000000
χ624-4-4444-4-40004i−4i−4i4i00000000000000000000000000000-222-2−2i2i2i−2i0000000000000000
χ634-4-4444-4-4000−4i4i4i−4i000000000000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ644-4-4444-4-4000−4i4i4i−4i00000000000000000000000000000-222-22i−2i−2i2i0000000000000000
χ654-4-4-44-44400000004-4-440000000000000000022−22−22220000000000000000000000000000
χ664-4-4-44-44400000004-4-4400000000000000000−222222−220000000000000000000000000000
χ674-4-4-44-4440000000-444-400000000000000000000022−22−2222000000000000000000000000
χ684-4-4-44-4440000000-444-4000000000000000000000−222222−22000000000000000000000000

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