Finite Group Databasebeta

← Group #266751

Character table — Group #266751

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222444444444444444444448888888888888888444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1
χ911111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-11-111-1-111-1-1
χ1011111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11-1-1-11-1-111-1-111
χ1111111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111-111-1-1-1-111
χ1211111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-111-11-1-11111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11-1111-1-1-111-1-111
χ1411111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1111-1111-1-111-1-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-11-1-11-1-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-111
χ1722222222222-2-2-222222-222-2-2-2-2-2-200000000000000000000000022220000-2-2000000000000
χ1822222222222-2-2-222222-222-2-2-2-2-2-2000000000000000000000000-2-2-2-2000022000000000000
χ1922222222222-2-2-2-2-2-2-22-2-2-22222-2-200000000000000000000000022-2-20000-22000000000000
χ2022222222222-2-2-2-2-2-2-22-2-2-22222-2-2000000000000000000000000-2-22200002-2000000000000
χ2122222222-2-2-22222222-22-2-2-2-222-2-2000000000000000000002222000000000000-2-200000000
χ2222222222-2-2-22222222-22-2-2-2-222-2-200000000000000000000-2-2-2-20000000000002200000000
χ2322222222-2-2-2222-2-2-2-2-222222-2-2-2-20000000000000000000022-2-2000000000000-2200000000
χ2422222222-2-2-2222-2-2-2-2-222222-2-2-2-200000000000000000000-2-2220000000000002-200000000
χ2522222222-2-2-2-2-2-22222-2-2-2-222-2-222000000000000000022-2-2000000002-20000000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-222-2-2220000000000000000-2-22200000000-220000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000022-2-200000000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222220000000000000000-2-222000000002-20000000000000000
χ292222-2-2-2-222-222-20000-2-20000002-22222-2-2-2-2000000002-22-200000000002-200000000000000
χ302222-2-2-2-222-222-20000-2-20000002-22222-2-2-2-200000000-22-220000000000-2200000000000000
χ312222-2-2-2-222-222-20000-2-20000002-2-2-2-2-22222000000002-22-20000000000-2200000000000000
χ322222-2-2-2-222-222-20000-2-20000002-2-2-2-2-2222200000000-22-2200000000002-200000000000000
χ332222-2-2-2-2-2-22-2-220000220000002-2000000002i2i2i2i−2i−2i−2i−2i2-2-22000000000000002i−2i0000000000
χ342222-2-2-2-2-2-22-2-220000220000002-2000000002i2i2i2i−2i−2i−2i−2i-222-200000000000000−2i2i0000000000
χ352222-2-2-2-2-2-22-2-220000220000002-200000000−2i−2i−2i−2i2i2i2i2i2-2-2200000000000000−2i2i0000000000
χ362222-2-2-2-2-2-22-2-220000220000002-200000000−2i−2i−2i−2i2i2i2i2i-222-2000000000000002i−2i0000000000
χ372-22-222-2-22-2-200022-2-2202-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000002i−2i2i−2i000000000000002−22−2
χ382-22-222-2-22-2-200022-2-2202-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000−2i2i−2i2i00000000000000−22−22
χ392-22-222-2-22-2-200022-2-2202-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000002i−2i2i−2i00000000000000−22−22
χ402-22-222-2-22-2-200022-2-2202-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000−2i2i−2i2i000000000000002−22−2
χ412-22-222-2-22-2-2000-2-22220-22000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000002i−2i−2i2i000000000000002−2−22
χ422-22-222-2-22-2-2000-2-22220-22000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000−2i2i2i−2i00000000000000−222−2
χ432-22-222-2-22-2-2000-2-22220-22000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000002i−2i−2i2i00000000000000−222−2
χ442-22-222-2-22-2-2000-2-22220-22000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000−2i2i2i−2i000000000000002−2−22
χ452-2-222-2-220002-222-22-20-200002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i000000000000002−22−20000
χ462-2-222-2-220002-222-22-20-200002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i00000000000000−22−220000
χ472-2-222-2-220002-222-22-20-200002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i00000000000000−22−220000
χ482-2-222-2-220002-222-22-20-200002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i000000000000002−22−20000
χ492-2-222-2-220002-22-22-220-20000-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200002i−2i−2i2i000000000000002−2−220000
χ502-2-222-2-220002-22-22-220-20000-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000−2i2i2i−2i00000000000000−222−20000
χ512-2-222-2-220002-22-22-220-20000-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200002i−2i−2i2i00000000000000−222−20000
χ522-2-222-2-220002-22-22-220-20000-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000−2i2i2i−2i000000000000002−2−220000
χ534444-4-4-4-444-4-4-440000-44000000-440000000000000000000000000000000000000000000000
χ544444-4-4-4-4-4-4444-400004-4000000-440000000000000000000000000000000000000000000000
χ5544-4-44-44-40000004-4-4400000000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ5644-4-44-44-40000004-4-440000000000-222-2-222-2-222-2-222-2000000000000000000000000000000
χ5744-4-44-44-4000000-444-400000000002-2-222-2-22-222-2-222-2000000000000000000000000000000
χ5844-4-44-44-4000000-444-40000000000-222-2-222-22-2-222-2-22000000000000000000000000000000
χ5944-4-4-44-44000000000000004i−4i00002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ6044-4-4-44-44000000000000004i−4i0000-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ6144-4-4-44-4400000000000000−4i4i00002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ6244-4-4-44-4400000000000000−4i4i0000-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ634-44-444-4-4-44400044-4-4-40-440000000000000000000000000000000000000000000000000000
χ644-44-444-4-4-444000-4-444-404-40000000000000000000000000000000000000000000000000000
χ654-44-4-4-4444-440000000-40000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ664-44-4-4-4444-440000000-4000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ674-44-4-4-444-44-400000004000000000000000002222−22−22−22−222222000000000000000000000000000000
χ684-44-4-4-444-44-40000000400000000000000000−22−2222222222−22−22000000000000000000000000000000
χ694-4-444-4-44000-44-44-44-4040000-44000000000000000000000000000000000000000000000000
χ704-4-444-4-44000-44-4-44-440400004-4000000000000000000000000000000000000000000000000
χ714-4-44-444-40004-4-4000004000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ724-4-44-444-40004-4-400000400000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ734-4-44-444-4000-44400000-4000000000000000022−2222−22−2222−2222000000000000000000000000000000
χ744-4-44-444-4000-44400000-40000000000000000−2222−222222−2222−22000000000000000000000000000000

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