Finite Group Databasebeta

← Group #320161

Character table — Group #320161

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444444444444488888888888888884444448888888888888888888888888888888888888888444444444444
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
χ9111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ12111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ13111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ14111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ15111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-22222-2-2-2-222-2-20000000000000000-2-222-2-20000000000000000000000002222-2-2-2-22222-2-2-2-2000000000000
χ182222222222-2-22222-2-2-2-222-2-20000000000000000-2-222-2-2000000000000000000000000-2-2-2-22222-2-2-2-22222000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-222-2-2000000000000000022-2-2220000000000000000000000002222-2-2-2-2-2-2-2-22222000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-2-2000000000000000022-2-222000000000000000000000000-2-2-2-222222222-2-2-2-2000000000000
χ2122222222-2-2222222-2-2-2-2-2-222000000000000000022-2-2-2-2000000002222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ2222222222-2-2222222-2-2-2-2-2-222000000000000000022-2-2-2-200000000-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ2322222222-2-222-2-2-2-2-2-2-2-2-2-2220000000000000000-2-22222000000002222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ2422222222-2-222-2-2-2-2-2-2-2-2-2-2220000000000000000-2-2222200000000-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ2522222222-2-2-2-222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000000000000000000000
χ2622222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000000000
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
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χ3022-2-2-2-222002-222-2-20000002-22222−2−2−2−22222−2−2−2−22-2000022−2−222−2−20000−2i−2i2i2i0000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-2-2-2-222002-222-2-20000002-2−2−2−2−22222−2−2−2−222222-20000−2−222−2−22200002i2i−2i−2i00002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ3222-2-2-2-222002-222-2-20000002-2−2−2−2−22222−2−2−2−222222-20000−2−222−2−2220000−2i−2i2i2i0000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ3322-2-2-2-222002-2-2-2220000002-22222−2−2−2−22222−2−2−2−2-220000−2−222−2−22200002i2i−2i−2i0000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ3422-2-2-2-222002-2-2-2220000002-22222−2−2−2−22222−2−2−2−2-220000−2−222−2−2220000−2i−2i2i2i00002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ3522-2-2-2-222002-2-2-2220000002-2−2−2−2−22222−2−2−2−22222-22000022−2−222−2−200002i2i−2i−2i0000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ3622-2-2-2-222002-2-2-2220000002-2−2−2−2−22222−2−2−2−22222-22000022−2−222−2−20000−2i−2i2i2i00002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ3722-2-2-2-22200-2222-2-2000000-222222−2−2−2−2−2−2−2−22222-22000022−2−2−2−2222i2i−2i−2i00002i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ3822-2-2-2-22200-2222-2-2000000-222222−2−2−2−2−2−2−2−22222-22000022−2−2−2−222−2i−2i2i2i0000−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ3922-2-2-2-22200-2222-2-2000000-22−2−2−2−222222222−2−2−2−2-220000−2−22222−2−22i2i−2i−2i00002i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ4022-2-2-2-22200-2222-2-2000000-22−2−2−2−222222222−2−2−2−2-220000−2−22222−2−2−2i−2i2i2i0000−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ4122-2-2-2-22200-22-2-222000000-222222−2−2−2−2−2−2−2−222222-20000−2−22222−2−22i2i−2i−2i0000−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ4222-2-2-2-22200-22-2-222000000-222222−2−2−2−2−2−2−2−222222-20000−2−22222−2−2−2i−2i2i2i00002i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ4322-2-2-2-22200-22-2-222000000-22−2−2−2−222222222−2−2−2−22-2000022−2−2−2−2222i2i−2i−2i0000−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ4422-2-2-2-22200-22-2-222000000-22−2−2−2−222222222−2−2−2−22-2000022−2−2−2−222−2i−2i2i2i00002i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ452-222-2-22-200002-22-222-2-20000000000002i2i−2i−2i2i2i−2i−2i00002-200002i−2i2i−2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22−22−22−22−22−22−22−22−2000000000000
χ462-222-2-22-200002-22-222-2-20000000000002i2i−2i−2i2i2i−2i−2i00002-200002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−22−22−22−22−22−22−22−22000000000000
χ472-222-2-22-200002-22-222-2-2000000000000−2i−2i2i2i−2i−2i2i2i00002-20000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−22−22−22−22−22−22−22−22000000000000
χ482-222-2-22-200002-22-222-2-2000000000000−2i−2i2i2i−2i−2i2i2i00002-20000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22−22−22−22−22−22−22−22−2000000000000
χ492-222-2-22-200002-22-2-2-22200002i2i−2i−2i2i2i−2i−2i000000000000-222i−2i2i−2i0000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22−22−2−22−222−22−2−22−22000000000000
χ502-222-2-22-200002-22-2-2-22200002i2i−2i−2i2i2i−2i−2i000000000000-222i−2i2i−2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−22−222−22−2−22−222−22−2000000000000
χ512-222-2-22-200002-22-2-2-2220000−2i−2i2i2i−2i−2i2i2i000000000000-22−2i2i−2i2i0000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−22−222−22−2−22−222−22−2000000000000
χ522-222-2-22-200002-22-2-2-2220000−2i−2i2i2i−2i−2i2i2i000000000000-22−2i2i−2i2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22−22−2−22−222−22−2−22−22000000000000
χ532-222-2-22-20000-22-2222-2-20000000000002i2i−2i−2i2i2i−2i−2i0000-220000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22−22−22−22−2−22−22−22−22000000000000
χ542-222-2-22-20000-22-2222-2-20000000000002i2i−2i−2i2i2i−2i−2i0000-220000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−22−22−22−222−22−22−22−2000000000000
χ552-222-2-22-20000-22-2222-2-2000000000000−2i−2i2i2i−2i−2i2i2i0000-2200002i−2i2i−2ii2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−22−22−22−222−22−22−22−2000000000000
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χ602-222-2-22-20000-22-22-2-2220000−2i−2i2i2i−2i−2i2i2i0000000000002-22i−2i2i−2i0000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i22−22−2−22−22−22−222−22−2000000000000
χ612-22-22-2-2222-2-200002-22-2-2-2222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000002-2002i−2i0000
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χ632-22-22-2-2222-2-200002-22-2-2-222−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000002-200−2i2i0000
χ642-22-22-2-2222-2-200002-22-2-2-222−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000-22002i−2i0000
χ652-22-22-2-22-2-22200002-22-222-2-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000002i−2i002-2000000
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χ672-22-22-2-22-2-22200002-22-222-2-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000002i−2i00-22000000
χ682-22-22-2-22-2-22200002-22-222-2-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−2i2i002-2000000
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χ702-2-2-2222-22-2002-2-2200002-200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2002-200i2−i2−i2i2i2−i2−i2i2−222−2−222−2−222−2−222−200002i−2i−2i2i00002i−2i−2i2i000000000000
χ712-2-2-2222-22-2002-2-2200002-200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2002-200−i2i2i2−i2−i2i2i2−i22−2−222−2−222−2−222−2−2200002i−2i−2i2i00002i−2i−2i2i000000000000
χ722-2-2-2222-22-2002-2-2200002-200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2002-200−i2i2i2−i2−i2i2i2−i2−222−2−222−2−222−2−222−20000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ732-2-2-2222-22-200-222-200002-200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200-2200−i2i2i2−i2−i2i2i2−i22−2−222−2−22−222−2−222−20000−2i2i2i−2i00002i−2i−2i2i000000000000
χ742-2-2-2222-22-200-222-200002-200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200-2200−i2i2i2−i2−i2i2i2−i2−222−2−222−22−2−222−2−2200002i−2i−2i2i0000−2i2i2i−2i000000000000
χ752-2-2-2222-22-200-222-200002-200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200-2200i2−i2−i2i2i2−i2−i2i22−2−222−2−22−222−2−222−200002i−2i−2i2i0000−2i2i2i−2i000000000000
χ762-2-2-2222-22-200-222-200002-200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200-2200i2−i2−i2i2i2−i2−i2i2−222−2−222−22−2−222−2−220000−2i2i2i−2i00002i−2i−2i2i000000000000
χ772-2-2-2222-2-22002-2-220000-2200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200-2200i2−i2−i2i2−i2i2i2−i22−2−22−222−22−2−22−222−2−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ782-2-2-2222-2-22002-2-220000-2200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200-2200i2−i2−i2i2−i2i2i2−i2−222−22−2−22−222−22−2−222i−2i−2i2i00002i−2i−2i2i0000000000000000
χ792-2-2-2222-2-22002-2-220000-2200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200-2200−i2i2i2−i2i2−i2−i2i22−2−22−222−22−2−22−222−22i−2i−2i2i00002i−2i−2i2i0000000000000000
χ802-2-2-2222-2-22002-2-220000-2200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200-2200−i2i2i2−i2i2−i2−i2i2−222−22−2−22−222−22−2−22−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ812-2-2-2222-2-2200-222-20000-2200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2002-200−i2i2i2−i2i2−i2−i2i22−2−22−222−2−222−22−2−22−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ822-2-2-2222-2-2200-222-20000-2200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2002-200−i2i2i2−i2i2−i2−i2i2−222−22−2−222−2−22−222−22i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ832-2-2-2222-2-2200-222-20000-2200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2002-200i2−i2−i2i2−i2i2i2−i22−2−22−222−2−222−22−2−222i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ842-2-2-2222-2-2200-222-20000-2200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2002-200i2−i2−i2i2−i2i2i2−i2−222−22−2−222−2−22−222−2−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ85444-4-44-4-4000000004-4-440000000000004-4-444-4-440000000000000000000000000000000000000000000000000000000000
χ86444-4-44-4-4000000004-4-44000000000000-444-4-444-40000000000000000000000000000000000000000000000000000000000
χ87444-4-44-4-400000000-444-400004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000
χ88444-4-44-4-400000000-444-40000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000
χ8944-444-4-4-44-40000000000-440022−22−2222−222222−2222−22−2222−222222−220000000000000000000000000000000000000000000000000000000000
χ9044-444-4-4-44-40000000000-4400−222222−2222−22−2222−222222−2222−22−22220000000000000000000000000000000000000000000000000000000000
χ9144-444-4-4-4-4400000000004-40022−22−2222−222222−22−222222−2222−22−22220000000000000000000000000000000000000000000000000000000000
χ9244-444-4-4-4-4400000000004-400−222222−2222−22−222222−22−2222−222222−220000000000000000000000000000000000000000000000000000000000
χ934-44-44-4-4444440000-44-44-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-44-4-44-4-4-4-40000-44-44444400000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-44-44-44004-40000000000-442i2−2i22i2−2i2−2i22i2−2i22i2−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ964-4-44-44-44004-40000000000-44−2i22i2−2i22i22i2−2i22i2−2i22i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ974-4-44-44-4400-4400000000004-42i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ984-4-44-44-4400-4400000000004-4−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000

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