Finite Group Databasebeta

← Group #72226532

Character table — Group #72226532

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size11222222244444444888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161620202020202020202525404040405050505050505080808080808080808080808080808080100100100100100100100100100100100100100100100100200200200200200200200200200200
order122224444551010101010102255101010101010101010101010101010101010202020202020202010101010101010101010101010101010101010101010101020202020202020202222444422888822244441010101020202020404040404040404044444444444444442244448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii−i−iii
χ51111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1ii−i−i−i−iii
χ61111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1−i−iiiii−i−i
χ71111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111
χ911111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11−i−iii−i−iii
χ1211111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11ii−i−iii−i−i
χ1311111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11−i−iiiii−i−i
χ1411111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11ii−i−i−i−iii
χ1511111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ1611111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ17111-1-11-1-1111-1-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1111-11-1-1-111-1-111-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-11-1
χ18111-1-11-1-1111-1-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1111-11-1-1-111-1-111-11-11-11-111-1-111-1-1-1-111-1-111-1-111-1-1111-1-11-11-11-11
χ19111-1-11-1-1111-1-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-11-1-1111-1-111-11-1-111-1-1111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-11i−i−iii−i−ii
χ20111-1-11-1-1111-1-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-11-1-1111-1-111-11-1-111-1-1111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-11−iii−i−iii−i
χ21111-1-11-1-1111-1-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-111-1-111-1-111-1-111-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-11i−i−ii−iii−i
χ22111-1-11-1-1111-1-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-111-1-111-1-111-1-111-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-11−iii−ii−i−ii
χ23111-1-11-1-1111-1-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-1111-11-11-1-111-1-11-11-11-11-11-1-111-1-11111-1-1-1-111-1-11111-1-11-11-11-1-11-11
χ24111-1-11-1-1111-1-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-1111-11-11-1-111-1-11-11-11-11-11-1-111-1-111-1-11111-1-111-1-1-1-1111-1-11-111-11-1
χ25111-1-11-1-1111-1-1-1-111-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-11-11-111-11-11-1-111-1-111-11-11-11-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11-11
χ26111-1-11-1-1111-1-1-1-111-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-11-11-111-11-11-1-111-1-111-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111-111-11-11-11-1
χ27111-1-11-1-1111-1-1-1-111-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-111-1-11-1-1-111-111-1-111-11-1-111-1-11-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii1-1−iii−i−iii−i
χ28111-1-11-1-1111-1-1-1-111-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-111-1-11-1-1-111-111-1-111-11-1-111-1-11-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i1-1i−i−iii−i−ii
χ29111-1-11-1-1111-1-1-1-111-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111-1-1-11-1-1111-1-111-1-111-1-111-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii1-1−iii−ii−i−ii
χ30111-1-11-1-1111-1-1-1-111-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111-1-1-11-1-1111-1-111-1-111-1-111-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i1-1i−i−ii−iii−i
χ31111-1-11-1-1111-1-1-1-111-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-11-11111-11-1-1-111-1-11-11-11-11-1111-1-111-1-111-1-1-1-111-1-11111-1-1-11-11-111-11-1
χ32111-1-11-1-1111-1-1-1-111-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-11-11111-11-1-1-111-1-11-11-11-11-1111-1-111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11-11
χ3322222-2-2-2-2222222220022222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-200000000220000222-2-2-2-200000000000000002-22-2000000002-22-20000000000
χ3422222-2-2-2-2222222220022222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-200000000220000222-2-2-2-20000000000000000-22-2200000000-22-220000000000
χ3522222-2-2-2-2222222220022222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-200000000-2-20000-2-2-2222200000000000000002i−2i2i−2i00000000−2i2i−2i2i0000000000
χ3622222-2-2-2-2222222220022222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-200000000-2-20000-2-2-222220000000000000000−2i2i−2i2i000000002i−2i2i−2i0000000000
χ37222-2-2-222-222-2-2-2-222002222-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000-2-2-2-2222200000000220000-2-22-222-200000000000000002-2-22000000002-2-220000000000
χ38222-2-2-222-222-2-2-2-222002222-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000-2-2-2-2222200000000220000-2-22-222-20000000000000000-222-200000000-222-20000000000
χ39222-2-2-222-222-2-2-2-222002222-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000-2-2-2-2222200000000-2-2000022-22-2-2200000000000000002i−2i−2i2i00000000−2i2i2i−2i0000000000
χ40222-2-2-222-222-2-2-2-222002222-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000-2-2-2-2222200000000-2-2000022-22-2-220000000000000000−2i2i2i−2i000000002i−2i−2i2i0000000000
χ4122-22-222-2-2222222220022-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-200000000000000000000000022-2-222-2-2000000002200002-2-2-22-22000000000000000000002-22-22-22-200000000000000
χ4222-22-222-2-2222222220022-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-200000000000000000000000022-2-222-2-2000000002200002-2-2-22-2200000000000000000000-22-22-22-2200000000000000
χ4322-22-222-2-2222222220022-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-200000000000000000000000022-2-222-2-200000000-2-20000-2222-22-2000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000
χ4422-22-222-2-2222222220022-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-200000000000000000000000022-2-222-2-200000000-2-20000-2222-22-200000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000
χ4522-22-2-2-222222222220022-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222000000000000000000000000-2-222-2-2222222-2-2-2-22200002-2-22-22-22222-2-2-2-20000000000000000000000000000000000
χ4622-22-2-2-222222222220022-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222000000000000000000000000-2-222-2-22222-2-2-2-222-2-20000-222-22-2222-2-2-2-2220000000000000000000000000000000000
χ4722-22-2-2-222222222220022-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222000000000000000000000000-2-222-2-222-2-22222-2-2-2-20000-222-22-22-2-22222-2-20000000000000000000000000000000000
χ4822-22-2-2-222222222220022-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222000000000000000000000000-2-222-2-222-2-2-2-222222200002-2-22-22-2-2-2-2-222220000000000000000000000000000000000
χ4922-2-222-22-222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-222222222-2-222-2-200000000000000000000000022-2-2-2-22200000000220000-22-2-2-222000000000000000000002-2-222-2-2200000000000000
χ5022-2-222-22-222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-222222222-2-222-2-200000000000000000000000022-2-2-2-22200000000220000-22-2-2-22200000000000000000000-222-2-222-200000000000000
χ5122-2-222-22-222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-222222222-2-222-2-200000000000000000000000022-2-2-2-22200000000-2-200002-2222-2-2000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ5222-2-222-22-222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-222222222-2-222-2-200000000000000000000000022-2-2-2-22200000000-2-200002-2222-2-200000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ5322-2-22-22-2222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-2222222-2-222-2-222000000000000000000000000-2-22222-2-22-22-2-22-22220000-22-222-2-22-22-2-22-220000000000000000000000000000000000
χ5422-2-22-22-2222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-2222222-2-222-2-222000000000000000000000000-2-22222-2-22-2-22-222-2-2-200002-22-2-2222-2-22-222-20000000000000000000000000000000000
χ5522-2-22-22-2222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-2222222-2-222-2-222000000000000000000000000-2-22222-2-2-222-22-2-22-2-200002-22-2-222-222-22-2-220000000000000000000000000000000000
χ5622-2-22-22-2222-2-2-2-2220022-2-222-2-2-2-2-2-2-2-2222222-2-222-2-222000000000000000000000000-2-22222-2-2-22-222-22-2220000-22-222-2-2-22-222-22-20000000000000000000000000000000000
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χ584444444444-144-1-14-144-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-4-400-4-40000-4-40000000001100110000111100000000000000000000000000
χ594444444444-144-1-14-1-4-4-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-4-411-4-4111111111111111111-1-1-1-1-1-1-1-1004400440000-4-4000000000-1-100-1-10000111100000000000000000000000000
χ604444444444-144-1-14-1-4-4-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-4-411-4-4111111111111111111-1-1-1-1-1-1-1-100-4-400-4-40000440000000001100110000-1-1-1-100000000000000000000000000
χ61444444444-14-1-144-1444-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1440044000044000000000-1-100-1-100-1-1-1-1000000000000000000000000000000
χ62444444444-14-1-144-1444-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-400-4-40000-4-4000000000110011001111000000000000000000000000000000
χ63444444444-14-1-144-14-4-4-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-1411-4-411-4-41111111111111111-1-1-1-1-1-1-1-14400440000-4-4000000000-1-100-1-1001111000000000000000000000000000000
χ64444444444-14-1-144-14-4-4-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-1411-4-411-4-41111111111111111-1-1-1-1-1-1-1-1-4-400-4-400004400000000011001100-1-1-1-1000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).