Finite Group Databasebeta

← Group #320188

Character table — Group #320188

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444444444444488888888888888884444448888888888888888888888888888888888888888444444442244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ911111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ1211111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ1311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ1411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-2-2-222-2-2000000000000000022-2-2-2-20000000000000000000000002222-2-2-2-22222-2-2-2-2000000000000
χ1822222222222222-2-2-2-2-2-222-2-2000000000000000022-2-2-2-2000000000000000000000000-2-2-2-22222-2-2-2-22222000000000000
χ19222222222222-2-222-2-2-2-2-2-2220000000000000000-2-222-2-2000000002222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ20222222222222-2-222-2-2-2-2-2-2220000000000000000-2-222-2-200000000-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ21222222222222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000000000000000000000
χ22222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000000000
χ2322222222-2-2-2-222-2-2-2-2-2-222-2-20000000000000000-2-222220000000000000000000000002222-2-2-2-2-2-2-2-22222000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-222-2-20000000000000000-2-22222000000000000000000000000-2-2-2-222222222-2-2-2-2000000000000
χ2522222222-2-2-2-2-2-222-2-2-2-2-2-222000000000000000022-2-222000000002222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ2622222222-2-2-2-2-2-222-2-2-2-2-2-222000000000000000022-2-22200000000-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ29222-2-2-2-2222-2-2000022-2-20000000000002222-2-2-2-200002-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ30222-2-2-2-2222-2-2000022-2-20000000000002222-2-2-2-200002-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ31222-2-2-2-2222-2-2000022-2-2000000000000-2-2-2-2222200002-20000-2-222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ32222-2-2-2-2222-2-2000022-2-2000000000000-2-2-2-2222200002-20000-2-222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ33222-2-2-2-2222-2-20000-2-22200002222-2-2-2-2000000000000-2222-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ34222-2-2-2-2222-2-20000-2-22200002222-2-2-2-2000000000000-2222-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ35222-2-2-2-2222-2-20000-2-2220000-2-2-2-22222000000000000-22-2-2220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ36222-2-2-2-2222-2-20000-2-2220000-2-2-2-22222000000000000-22-2-2220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ37222-2-2-2-22-2-222000022-2-20000000000002222-2-2-2-20000-220000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ38222-2-2-2-22-2-222000022-2-20000000000002222-2-2-2-20000-220000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ39222-2-2-2-22-2-222000022-2-2000000000000-2-2-2-222220000-22000022-2-2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ40222-2-2-2-22-2-222000022-2-2000000000000-2-2-2-222220000-22000022-2-2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ41222-2-2-2-22-2-2220000-2-22200002222-2-2-2-20000000000002-2-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ42222-2-2-2-22-2-2220000-2-22200002222-2-2-2-20000000000002-2-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ43222-2-2-2-22-2-2220000-2-2220000-2-2-2-222220000000000002-222-2-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ44222-2-2-2-22-2-2220000-2-2220000-2-2-2-222220000000000002-222-2-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ4522-222-2-2-2000022-2-22-22-2-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000002-2002i−2i0000
χ4622-222-2-2-2000022-2-22-22-2-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000-2200−2i2i0000
χ4722-222-2-2-2000022-2-22-22-2-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000002-200−2i2i0000
χ4822-222-2-2-2000022-2-22-22-2-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000-22002i−2i0000
χ4922-222-2-2-20000-2-2222-22-222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000002i−2i002-2000000
χ5022-222-2-2-20000-2-2222-22-222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000−2i2i00-22000000
χ5122-222-2-2-20000-2-2222-22-222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000002i−2i00-22000000
χ5222-222-2-2-20000-2-2222-22-222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000−2i2i002-2000000
χ532-222-22-2-22-22-2002-20000002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-200i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i00002i−2i2i−2i2−22−22−22−22−22−22−22−2000000000000
χ542-222-22-2-22-22-2002-20000002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-200i2−i2i2−i2i2−i2i2−i20000−2i2i−2i2i0000−2i2i−2i2i−22−22−22−22−22−22−22−22000000000000
χ552-222-22-2-22-22-2002-20000002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-200−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i00002i−2i2i−2i−22−22−22−22−22−22−22−22000000000000
χ562-222-22-2-22-22-2002-20000002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-200−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i0000−2i2i−2i2i2−22−22−22−22−22−22−22−2000000000000
χ572-222-22-2-22-22-200-22000000-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200-2200i2−i2i2−i2−i2i2−i2i22i−2i2i−2i00002i−2i2i−2i00002−22−2−22−222−22−2−22−22000000000000
χ582-222-22-2-22-22-200-22000000-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200-2200i2−i2i2−i2−i2i2−i2i2−2i2i−2i2i0000−2i2i−2i2i0000−22−222−22−2−22−222−22−2000000000000
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χ602-222-22-2-22-22-200-22000000-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200-2200−i2i2−i2i2i2−i2i2−i2−2i2i−2i2i0000−2i2i−2i2i00002−22−2−22−222−22−2−22−22000000000000
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χ702-22-22-22-22-2-222-20000002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22-20000i2−i2−i2i2i2−i2−i2i2−222−2−222−2−222−2−222−200002i−2i−2i2i00002i−2i−2i2i000000000000
χ712-22-22-22-22-2-222-20000002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22-20000−i2i2i2−i2−i2i2i2−i22−2−222−2−222−2−222−2−2200002i−2i−2i2i00002i−2i−2i2i000000000000
χ722-22-22-22-22-2-222-20000002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22-20000−i2i2i2−i2−i2i2i2−i2−222−2−222−2−222−2−222−20000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ732-22-22-22-22-2-22-22000000-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2-220000i2−i2−i2i2−i2i2i2−i22−2−22−222−22−2−22−222−2−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ742-22-22-22-22-2-22-22000000-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2-220000i2−i2−i2i2−i2i2i2−i2−222−22−2−22−222−22−2−222i−2i−2i2i00002i−2i−2i2i0000000000000000
χ752-22-22-22-22-2-22-22000000-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2-220000−i2i2i2−i2i2−i2−i2i22−2−22−222−22−2−22−222−22i−2i−2i2i00002i−2i−2i2i0000000000000000
χ762-22-22-22-22-2-22-22000000-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2-220000−i2i2i2−i2i2−i2−i2i2−222−22−2−22−222−22−2−22−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ772-22-22-22-2-222-22-20000002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2-220000−i2i2i2−i2−i2i2i2−i22−2−222−2−22−222−2−222−20000−2i2i2i−2i00002i−2i−2i2i000000000000
χ782-22-22-22-2-222-22-20000002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2-220000−i2i2i2−i2−i2i2i2−i2−222−2−222−22−2−222−2−2200002i−2i−2i2i0000−2i2i2i−2i000000000000
χ792-22-22-22-2-222-22-20000002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2-220000i2−i2−i2i2i2−i2−i2i22−2−222−2−22−222−2−222−200002i−2i−2i2i0000−2i2i2i−2i000000000000
χ802-22-22-22-2-222-22-20000002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2-220000i2−i2−i2i2i2−i2−i2i2−222−2−222−22−2−222−2−220000−2i2i2i−2i00002i−2i−2i2i000000000000
χ812-22-22-22-2-222-2-22000000-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i22-20000−i2i2i2−i2i2−i2−i2i22−2−22−222−2−222−22−2−22−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ822-22-22-22-2-222-2-22000000-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i22-20000−i2i2i2−i2i2−i2−i2i2−222−22−2−222−2−22−222−22i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ832-22-22-22-2-222-2-22000000-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i22-20000i2−i2−i2i2−i2i2i2−i22−2−22−222−2−222−22−2−222i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ842-22-22-22-2-222-2-22000000-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i22-20000i2−i2−i2i2−i2i2i2−i2−222−22−2−222−2−22−222−2−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ8544-444-4-4-400004444-44-44-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-444-4-4-40000-4-4-4-4-44-44444400000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-444-4000000004-4-440000000000004i4i−4i−4i−4i−4i4i4i0000000000000000000000000000000000000000000000000000000000
χ8844-4-4-444-4000000004-4-44000000000000−4i−4i4i4i4i4i−4i−4i0000000000000000000000000000000000000000000000000000000000
χ8944-4-4-444-400000000-444-400004i4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-444-400000000-444-40000−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ914-4-44-4-4440000004-4000000-4422−22−222222−22−2222−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ924-4-44-4-4440000004-4000000-44−222222−22−222222−2222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000
χ934-4-44-4-444000000-440000004-422−22−222222−22−222222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000
χ944-4-44-4-444000000-440000004-4−222222−22−222222−22−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ954-4-4-444-4400004-4000000-440022−22−2222−222222−2222−22−2222−222222−220000000000000000000000000000000000000000000000000000000000
χ964-4-4-444-4400004-4000000-4400−222222−2222−22−2222−222222−2222−22−22220000000000000000000000000000000000000000000000000000000000
χ974-4-4-444-440000-440000004-40022−22−2222−222222−22−222222−2222−22−22220000000000000000000000000000000000000000000000000000000000
χ984-4-4-444-440000-440000004-400−222222−2222−22−222222−22−2222−222222−220000000000000000000000000000000000000000000000000000000000

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