Finite Group Databasebeta

← Group #72338557

Character table — Group #72338557

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111222222222222222222444444444488888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161632323232
order1244222222244444444444444444444422222222444444444444444444888888888888224444444444444444888888888888884488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111-11-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111111111111111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1
χ91111111111111111111111-1-1-1-111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1
χ101111111111111111111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-11-1-11
χ111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1111-1-11
χ121111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-111-1
χ131111111111111111111111-1-1-1-1111111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1111-1-11
χ141111111111111111111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-111-1
χ151111111111111111111111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ161111111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-1-11
χ17111111111111-1-1-1-11111111111-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-11-11
χ18111111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11-11-1
χ19111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1
χ20111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-11-11
χ21111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111-11-1
χ22111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-11111-11-11
χ23111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111-11-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-11
χ24111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-11-11-1-1111111111111-1-111-1-11111-1-1-1-11-11-1
χ25111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ26111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111
χ27111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-111
χ28111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-1
χ29111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ30111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-11111-1-111-1-1
χ31111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ32111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1111111111111-1-1-1-1-11-111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ33222222-2-2-2-222222222-2-2-2-2000022-2-2-2-20000002-20000002-20000002i2i−2i−2i000000002i2i−2i−2i00002i−2i000000002-200000000002i−2i00000000
χ34222222-2-2-2-222222222-2-2-2-2000022-2-2-2-20000002-20000002-2000000−2i−2i2i2i00000000−2i−2i2i2i0000−2i2i000000002-20000000000−2i2i00000000
χ35222222-2-2-2-222222222-2-2-2-2000022-2-2-2-2000000-22000000-220000002i2i−2i−2i000000002i2i−2i−2i0000−2i2i00000000-220000000000−2i2i00000000
χ36222222-2-2-2-222222222-2-2-2-2000022-2-2-2-2000000-22000000-22000000−2i−2i2i2i00000000−2i−2i2i2i00002i−2i00000000-2200000000002i−2i00000000
χ37222222-2-2-2-222-2-2-2-222-2-2-2-20000-2-222220000002-20000002-20000002i2i−2i−2i00000000−2i−2i2i2i0000−2i2i00000000-2200000000002i−2i00000000
χ38222222-2-2-2-222-2-2-2-222-2-2-2-20000-2-222220000002-20000002-2000000−2i−2i2i2i000000002i2i−2i−2i00002i−2i00000000-220000000000−2i2i00000000
χ39222222-2-2-2-222-2-2-2-222-2-2-2-20000-2-22222000000-22000000-220000002i2i−2i−2i00000000−2i−2i2i2i00002i−2i000000002-20000000000−2i2i00000000
χ40222222-2-2-2-222-2-2-2-222-2-2-2-20000-2-22222000000-22000000-22000000−2i−2i2i2i000000002i2i−2i−2i0000−2i2i000000002-200000000002i−2i00000000
χ412222-2-2-2-222222222-2-22-2-220000-2-222-2-22-2002-2002-2002-200000000000022-2-2000000000000002-2002-200000000000000002-2000000
χ422222-2-2-2-222222222-2-22-2-220000-2-222-2-22-200-22002-200-22000000000000-2-22200000000000000-22002-20000000000000000-22000000
χ432222-2-2-2-222222222-2-22-2-220000-2-222-2-2-22002-200-22002-200000000000022-2-200000000000000-2200-220000000000000000-22000000
χ442222-2-2-2-222222222-2-22-2-220000-2-222-2-2-2200-2200-2200-22000000000000-2-222000000000000002-200-2200000000000000002-2000000
χ452222-2-2-2-22222-2-2-2-2-2-22-2-22000022-2-2222-2002-2002-2002-2000000000000-2-222000000000000002-200-220000000000000000-22000000
χ462222-2-2-2-22222-2-2-2-2-2-22-2-22000022-2-2222-200-22002-200-2200000000000022-2-200000000000000-2200-2200000000000000002-2000000
χ472222-2-2-2-22222-2-2-2-2-2-22-2-22000022-2-222-22002-200-22002-2000000000000-2-22200000000000000-22002-200000000000000002-2000000
χ482222-2-2-2-22222-2-2-2-2-2-22-2-22000022-2-222-2200-2200-2200-2200000000000022-2-2000000000000002-2002-20000000000000000-22000000
χ4922-2-22-22-22-2-222i2i−2i−2i2-2-22-2200002i−2i2i−2i2i−2i00000000000000000000002i−2i2i−2i00002i2i−2i−2i2-22-2020-2000000000000002i−2i00002-20000000000
χ5022-2-22-22-22-2-222i2i−2i−2i2-2-22-2200002i−2i2i−2i2i−2i00000000000000000000002i−2i2i−2i0000−2i−2i2i2i2-22-20-20200000000000000−2i2i0000-220000000000
χ5122-2-22-22-22-2-222i2i−2i−2i2-2-22-2200002i−2i2i−2i2i−2i0000000000000000000000−2i2i−2i2i00002i2i−2i−2i-22-220-20200000000000000−2i2i00002-20000000000
χ5222-2-22-22-22-2-222i2i−2i−2i2-2-22-2200002i−2i2i−2i2i−2i0000000000000000000000−2i2i−2i2i0000−2i−2i2i2i-22-22020-2000000000000002i−2i0000-220000000000
χ5322-2-22-22-22-2-22−2i−2i2i2i2-2-22-220000−2i2i−2i2i−2i2i00000000000000000000002i−2i2i−2i00002i2i−2i−2i-22-22020-200000000000000−2i2i0000-220000000000
χ5422-2-22-22-22-2-22−2i−2i2i2i2-2-22-220000−2i2i−2i2i−2i2i00000000000000000000002i−2i2i−2i0000−2i−2i2i2i-22-220-202000000000000002i−2i00002-20000000000
χ5522-2-22-22-22-2-22−2i−2i2i2i2-2-22-220000−2i2i−2i2i−2i2i0000000000000000000000−2i2i−2i2i00002i2i−2i−2i2-22-20-202000000000000002i−2i0000-220000000000
χ5622-2-22-22-22-2-22−2i−2i2i2i2-2-22-220000−2i2i−2i2i−2i2i0000000000000000000000−2i2i−2i2i0000−2i−2i2i2i2-22-2020-200000000000000−2i2i00002-20000000000
χ5722-2-22-2-22-22-222i2i−2i−2i2-22-22-222-2-22i−2i−2i2i−2i2i00002-2000000-22002i2i−2i−2i2-22-2-222i−2i2i−2i0000−2i2i2i−2i000000000000000000000000000000000000
χ5822-2-22-2-22-22-222i2i−2i−2i2-22-22-222-2-22i−2i−2i2i−2i2i0000-220000002-2002i2i−2i−2i2-2-222-2−2i2i−2i2i00002i−2i−2i2i000000000000000000000000000000000000
χ5922-2-22-2-22-22-222i2i−2i−2i2-22-22-2-2-2222i−2i−2i2i−2i2i00002-2000000-2200−2i−2i2i2i-22-222-22i−2i2i−2i00002i−2i−2i2i000000000000000000000000000000000000
χ6022-2-22-2-22-22-222i2i−2i−2i2-22-22-2-2-2222i−2i−2i2i−2i2i0000-220000002-200−2i−2i2i2i-222-2-22−2i2i−2i2i0000−2i2i2i−2i000000000000000000000000000000000000
χ6122-2-22-2-22-22-22−2i−2i2i2i2-22-22-222-2-2−2i2i2i−2i2i−2i00002-2000000-2200−2i−2i2i2i2-22-2-22−2i2i−2i2i00002i−2i−2i2i000000000000000000000000000000000000
χ6222-2-22-2-22-22-22−2i−2i2i2i2-22-22-222-2-2−2i2i2i−2i2i−2i0000-220000002-200−2i−2i2i2i2-2-222-22i−2i2i−2i0000−2i2i2i−2i000000000000000000000000000000000000
χ6322-2-22-2-22-22-22−2i−2i2i2i2-22-22-2-2-222−2i2i2i−2i2i−2i00002-2000000-22002i2i−2i−2i-22-222-2−2i2i−2i2i0000−2i2i2i−2i000000000000000000000000000000000000
χ6422-2-22-2-22-22-22−2i−2i2i2i2-22-22-2-2-222−2i2i2i−2i2i−2i0000-220000002-2002i2i−2i−2i-222-2-222i−2i2i−2i00002i−2i−2i2i000000000000000000000000000000000000
χ6522-2-2-222-2-22-222i2i−2i−2i-2222-2-20000−2i2i−2i2i2i−2i002-22200002-2-2-20000000000002i−2i−2i2i00000000000000002-2002i−2i00000000000000002i−2i0000
χ6622-2-2-222-2-22-222i2i−2i−2i-2222-2-20000−2i2i−2i2i2i−2i002-2-2-200002-222000000000000−2i2i2i−2i0000000000000000-22002i−2i0000000000000000−2i2i0000
χ6722-2-2-222-2-22-222i2i−2i−2i-2222-2-20000−2i2i−2i2i2i−2i00-22220000-22-2-20000000000002i−2i−2i2i0000000000000000-2200−2i2i0000000000000000−2i2i0000
χ6822-2-2-222-2-22-222i2i−2i−2i-2222-2-20000−2i2i−2i2i2i−2i00-22-2-20000-2222000000000000−2i2i2i−2i00000000000000002-200−2i2i00000000000000002i−2i0000
χ6922-2-2-222-2-22-22−2i−2i2i2i-2222-2-200002i−2i2i−2i−2i2i002-22200002-2-2-2000000000000−2i2i2i−2i00000000000000002-200−2i2i0000000000000000−2i2i0000
χ7022-2-2-222-2-22-22−2i−2i2i2i-2222-2-200002i−2i2i−2i−2i2i002-2-2-200002-2220000000000002i−2i−2i2i0000000000000000-2200−2i2i00000000000000002i−2i0000
χ7122-2-2-222-2-22-22−2i−2i2i2i-2222-2-200002i−2i2i−2i−2i2i00-22220000-22-2-2000000000000−2i2i2i−2i0000000000000000-22002i−2i00000000000000002i−2i0000
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χ7322-2-2-2-2-2-2222-2000022-222-222-2-20000002222002-2-2-2-2-200-220000-22000000002-22-2000000000000000000002-2002-200000000000000
χ7422-2-2-2-2-2-2222-2000022-222-222-2-2000000222200-22-2-2-2-2002-20000-2200000000-22-2200000000000000000000-2200-2200000000000000
χ7522-2-2-2-2-2-2222-2000022-222-222-2-2000000-2-2-2-2002-2222200-220000-22000000002-22-200000000000000000000-2200-2200000000000000
χ7622-2-2-2-2-2-2222-2000022-222-222-2-2000000-2-2-2-200-222222002-20000-2200000000-22-22000000000000000000002-2002-200000000000000
χ7722-2-2-2-2-2-2222-2000022-222-2-2-22200000022-2-2002-2-2-22200-2200002-200000000-22-22000000000000000000002-200-2200000000000000
χ7822-2-2-2-2-2-2222-2000022-222-2-2-22200000022-2-200-22-2-222002-200002-2000000002-22-200000000000000000000-22002-200000000000000
χ7922-2-2-2-2-2-2222-2000022-222-2-2-222000000-2-222002-222-2-200-2200002-200000000-22-2200000000000000000000-22002-200000000000000
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χ9744-4-4-4-444-4-44-40000444-4-44000000000000000044000000-4-40000000000000000000000000000000000000000000000000000000000
χ9844-4-4-4-444-4-44-40000444-4-440000000000000000-4-4000000440000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000000004+4i−4−4i4−4i−4+4i0000004-44i−4i00000000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000000000000000000000000000000000
χ1008-88i−8i000000004+4i−4−4i4−4i−4+4i000000-44−4i4i0000000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000000000000000000000000000000000000000
χ1018-88i−8i00000000−4−4i4+4i−4+4i4−4i0000004-44i−4i0000000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000000000000000000000000000000000000000
χ1028-88i−8i00000000−4−4i4+4i−4+4i4−4i000000-44−4i4i00000000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000000000000000000000000000000000
χ1038-8−8i8i000000004−4i−4+4i4+4i−4−4i0000004-4−4i4i00000000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000000000000000000000000000000000
χ1048-8−8i8i000000004−4i−4+4i4+4i−4−4i000000-444i−4i0000000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000000000000000000000000000000000000000
χ1058-8−8i8i00000000−4+4i4−4i−4−4i4+4i0000004-4−4i4i0000000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000000000000000000000000000000000000000
χ1068-8−8i8i00000000−4+4i4−4i−4−4i4+4i000000-444i−4i00000000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000000000000000000000000000000000

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