Finite Group Databasebeta

← Group #72226405

Character table — Group #72226405

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size112222222444444448888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616252540404040404040405050505050505080808080808080808080808080808080200200200200200200200200200200200200200200200200200200
order122224444551010202020202455101010101010101010101010202020202020202020202020202010101010101010101010101010101010202020202020202020202020202020202222448888222444410101010202020204040404040404040244444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-11-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ61111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-11-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ71111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii
χ81111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i
χ911111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1011111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1111111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1
χ1211111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111
χ1311111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i
χ1411111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii
χ1511111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1611111111111111111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1722222-2-2-2-22222-2-2-2-20022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000-2-2-2-2000000002200000000222-2-2-2-200000000000000000000002-22-200000000
χ1822222-2-2-2-22222-2-2-2-20022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000-2-2-2-2000000002200000000222-2-2-2-20000000000000000000000-22-2200000000
χ1922222-2-2-2-22222-2-2-2-20022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000-2-2-2-200000000-2-200000000-2-2-2222200000000000000000000002i−2i−2i2i00000000
χ2022222-2-2-2-22222-2-2-2-20022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000-2-2-2-200000000-2-200000000-2-2-222220000000000000000000000−2i2i2i−2i00000000
χ21222-2-222-2-222222222002222-2-2-2-222222222-2-222222222-2-20000-2-2-2-2000000000000-2-2-2-2000000002200000000-22-22-2-220000000000000000002-22-2000000000000
χ22222-2-222-2-222222222002222-2-2-2-222222222-2-222222222-2-20000-2-2-2-2000000000000-2-2-2-2000000002200000000-22-22-2-22000000000000000000-22-22000000000000
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χ24222-2-222-2-222222222002222-2-2-2-222222222-2-222222222-2-20000-2-2-2-2000000000000-2-2-2-200000000-2-2000000002-22-222-2000000000000000000−2i2i2i−2i000000000000
χ25222-2-2-2-2222222-2-2-2-22-22222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-22200000000-22-2-222-200000000000000002-20000000000000000
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χ454444444444-14-144-1-144-1-14-14-14-1-1-1-1-1-1-14-14-1-1-1-1-1-1-1-1-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-10004040044000000000-1-100-1-10000-1-1-1-1000000000000000000
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χ474444444444-14-144-1-1-4-4-1-14-14-14-1-1-1-1-1-1-14-14-1-1-1-1-1-1-1-1-14-1-4-411-1-1-1-111111111-4-411-1-1-1-11111111100040400-4-4000000000-1-100-1-100001111000000000000000000
χ484444444444-14-144-1-1-4-4-1-14-14-14-1-1-1-1-1-1-14-14-1-1-1-1-1-1-1-1-14-1-4-411-1-1-1-111111111-4-411-1-1-1-111111111000-40-400440000000001100110000-1-1-1-1000000000000000000
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Here i is the imaginary unit (i² = −1).