Finite Group Databasebeta

← Group #315596

Character table — Group #315596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444444444444488888888888888882244448888888888888888888888888888888888888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1
χ91111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ101111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ121111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ131111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111-1-11
χ141111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-111-1
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-1
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-11
χ1722222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-2000000000000000000000000000000002222-2-2-2-2000000000000
χ1822222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-222-2-200000000000000000000000000000000-2-2-2-22222000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000-2-2-2-22222000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222222222-2-222000000000000000000000000000000002222-2-2-2-2000000000000
χ2122222222-2-222222222-2-2-2-2-2-20000000000000000-2-2-2-22200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000
χ2222222222-2-222222222-2-2-2-2-2-20000000000000000-2-2-2-2220000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000
χ2322222222-2-22222-2-2-2-22222-2-2000000000000000022-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ2422222222-2-22222-2-2-2-22222-2-2000000000000000022-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000002222-2-200000000000000002222-2-2-2-2-2-2-2-2222200000000000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000002222-2-20000000000000000-2-2-2-222222222-2-2-2-200000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000-2-222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ2922-2-222-2-2-2-2000022-2-222-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ3022-2-222-2-2-2-2000022-2-222-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ3122-2-222-2-2-2-2000022-2-222-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ3222-2-222-2-2-2-2000022-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ3322-2-222-2-2-2-20000-2-222-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000002i−2i2i−2i00000000
χ3422-2-222-2-2-2-20000-2-222-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000−2i2i−2i2i00000000
χ3522-2-222-2-2-2-20000-2-222-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ3622-2-222-2-2-2-20000-2-222-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000−2i2i2i−2i00000000
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χ3822-2-2-2-222002i2i−2i−2i2-22-200000022−2−222−2−222−2−222−2−200002i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i20000-2-2220000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2000000000000
χ3922-2-2-2-222002i2i−2i−2i2-22-2000000−2−222−2−222−2−222−2−22200002i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i20000-2-2220000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000000000000
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χ4222-2-2-2-222002i2i−2i−2i-22-2200000022−2−222−2−2−2−222−2−2220000−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i2-2-2220000−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i2000000000000
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χ4422-2-2-2-222002i2i−2i−2i-22-22000000−2−222−2−22222−2−222−2−20000−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i222-2-200002i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ4522-2-2-2-22200−2i−2i2i2i2-22-200000022−2−222−2−222−2−222−2−20000−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2000022-2-20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2000000000000
χ4622-2-2-2-22200−2i−2i2i2i2-22-200000022−2−222−2−222−2−222−2−20000−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000-2-22200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2000000000000
χ4722-2-2-2-22200−2i−2i2i2i2-22-2000000−2−222−2−222−2−222−2−2220000−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000-2-22200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2000000000000
χ4822-2-2-2-22200−2i−2i2i2i2-22-2000000−2−222−2−222−2−222−2−2220000−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2000022-2-20000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2000000000000
χ4922-2-2-2-22200−2i−2i2i2i-22-2200000022−2−222−2−2−2−222−2−22200002i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i222-2-20000−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ5022-2-2-2-22200−2i−2i2i2i-22-2200000022−2−222−2−2−2−222−2−22200002i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2-2-22200002i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i2000000000000
χ5122-2-2-2-22200−2i−2i2i2i-22-22000000−2−222−2−22222−2−222−2−200002i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2-2-22200002i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2000000000000
χ5222-2-2-2-22200−2i−2i2i2i-22-22000000−2−222−2−22222−2−222−2−200002i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i222-2-20000−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i2000000000000
χ532-22-22-22-2002-22-200002-22-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-2000000002-22-200002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ542-22-22-22-2002-22-200002-22-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-200000000-22-220000-22-22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ552-22-22-22-2002-22-200002-22-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2000000002-22-200002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ562-22-22-22-2002-22-200002-22-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-200000000-22-220000-22-22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ572-22-22-22-2002-22-20000-22-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-2200002-22-200002-22-20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
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χ622-22-22-22-200-22-2200002-22-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-2200000000-22-2200002-22-2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
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χ712-2-22-222-22-22i−2i−2i2i000000002-200000000−2i2i2i−2i−2i2i2i−2i002i−2i002−2−222−2−22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i22−2−222−2−2200002-2-22000000000000
χ722-2-22-222-22-22i−2i−2i2i000000002-200000000−2i2i2i−2i−2i2i2i−2i002i−2i00−222−2−222−2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−222−2−222−200002-2-22000000000000
χ732-2-22-222-22-2−2i2i2i−2i000000002-2000000002i−2i−2i2i2i−2i−2i2i00−2i2i002−2−222−2−22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i22−2−222−2−2200002-2-22000000000000
χ742-2-22-222-22-2−2i2i2i−2i000000002-2000000002i−2i−2i2i2i−2i−2i2i00−2i2i00−222−2−222−2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−222−2−222−200002-2-22000000000000
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χ762-2-22-222-22-2−2i2i2i−2i000000002-200000000−2i2i2i−2i−2i2i2i−2i00−2i2i00−222−2−222−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22−2−222−2−220000-222-2000000000000
χ772-2-22-222-2-222i−2i−2i2i00000000-222i−2i−2i2i2i−2i−2i2i0000000000−2i2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−222−22−2−22-222-20000000000000000
χ782-2-22-222-2-222i−2i−2i2i00000000-222i−2i−2i2i2i−2i−2i2i0000000000−2i2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22−2−22−222−2-222-20000000000000000
χ792-2-22-222-2-222i−2i−2i2i00000000-22−2i2i2i−2i−2i2i2i−2i0000000000−2i2i002−2−22−222−2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22−2−22−222−22-2-220000000000000000
χ802-2-22-222-2-222i−2i−2i2i00000000-22−2i2i2i−2i−2i2i2i−2i0000000000−2i2i00−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−222−22−2−222-2-220000000000000000
χ812-2-22-222-2-22−2i2i2i−2i00000000-222i−2i−2i2i2i−2i−2i2i00000000002i−2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22−2−22−222−22-2-220000000000000000
χ822-2-22-222-2-22−2i2i2i−2i00000000-222i−2i−2i2i2i−2i−2i2i00000000002i−2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−222−22−2−222-2-220000000000000000
χ832-2-22-222-2-22−2i2i2i−2i00000000-22−2i2i2i−2i−2i2i2i−2i00000000002i−2i002−2−22−222−2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−222−22−2−22-222-20000000000000000
χ842-2-22-222-2-22−2i2i2i−2i00000000-22−2i2i2i−2i−2i2i2i−2i00000000002i−2i00−222−22−2−22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22−2−22−222−2-222-20000000000000000
χ854444-4-4-4-40000004-4-440000002222−22−22−22−2222222222−22−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ864444-4-4-4-40000004-4-44000000−22−2222222222−22−22−22−2222222222−22−220000000000000000000000000000000000000000000000000000000000
χ874444-4-4-4-4000000-444-40000002222−22−22−22−222222−22−2222222222−22−220000000000000000000000000000000000000000000000000000000000
χ884444-4-4-4-4000000-444-4000000−22−2222222222−22−222222−22−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ8944-4-444-4-444000044-4-4-4-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-444-4-4440000-4-44444-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ914-44-4-44-444-4000000000000-444i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ924-44-4-44-444-4000000000000-44−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-44-44-440000000000004-4000000004i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ944-44-4-44-44-440000000000004-400000000−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ954-4-444-4-4400000000004-4-44002i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ964-4-444-4-4400000000004-4-4400−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ974-4-444-4-440000000000-444-4002i2−2i22i2−2i2−2i22i2−2i22i2−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ984-4-444-4-440000000000-444-400−2i22i2−2i22i22i2−2i22i2−2i22i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000

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