Finite Group Databasebeta

← Group #14289566

Character table — Group #14289566

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222222222222244444444444444444444444444444448888888888888888888888888888888888888882020202020202020202020202424242424242424242440404040404048484848486060120120120
order1222344445566610101010101012121212444121212121515202020202020202030303030303060606060606060604121212122020202020202020202060606060606060606060606060606060606060606060606088882424242424242424884040404040404040882424242442020202044444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ6111111111111111111111111-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111
χ7111111111111111111111111-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002−1−52−1−52−1+52−1+5200000
χ10222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000000-2-21+521+521+521+521−521−521−521−52000000-21+521+521−521−5200000
χ11222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200000000000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-21+521+521−521−5200000
χ12222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52000000000000-2-21+521+521+521+521−521−521−521−520000002−1−52−1−52−1+52−1+5200000
χ13222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002−1+52−1+52−1−52−1−5200000
χ14222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000-2-21−521−521−521−521+521+521+521+52000000-21−521−521+521+5200000
χ15222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200000000000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-21−521−521+521+5200000
χ16222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52000000000000-2-21−521−521−521−521+521+521+521+520000002−1+52−1+52−1−52−1−5200000
χ17222222-22-222222222222-2-2-2-222-222-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000
χ18222222-22-222222222222-2-2-2-2-2-2-222-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-22-2-222-2-2-2-2-2-2222222-2-222-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000
χ19222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-2−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−5200000000000000−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ1160000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000
χ20222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-2−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−5200000000000000ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ1160000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000
χ21222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-2221+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+5200000000000000−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ1160000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000
χ22222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-2221+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+5200000000000000ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ1160000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000
χ23222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-222-2-2−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ920000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000
χ24222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-222-2-2−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ920000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000
χ25222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2-2221−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−5200000000000000ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ920000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000
χ26222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2-2221−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−5200000000000000−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ920000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000
χ2722222-22-2222222222222222200-2-2-2-2-2222222-2-2-2-222222222222222000000000-2-20000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000022-200
χ2822222-22-2222222222222222200-2-2-2-2-2222222-2-2-2-222222222222222000000000-2-20000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000-2-2200
χ2922222-2-2-2-222222222222-2-2-2-2002-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000000220000-2-222-2-22200000000000000000000000000000000000000000000000000002-2
χ3022222-2-2-2-222222222222-2-2-2-2002-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000000220000-2-222-2-2220000000000000000000000000000000000000000000000000000-22
χ312222-1222222-1-1-1222222-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000022-1-1-1-10000000000
χ322222-1222222-1-1-1222222-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000-2-211110000000000
χ332222-1222222-1-1-1222222-1-1-1-1-2-22-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-21111-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-1-1-1-10000000000-2-211110000000000
χ342222-1222222-1-1-1222222-1-1-1-1-2-22-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-21111-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-211111111000000000022-1-1-1-10000000000
χ352222-12-22-222-1-1-1222222111122-2-1-111-1-1-2-2-2-22222-1-1-1-1-1-111111111-2-1-1112222-2-2-2-2-2-2-1-111-1-111-1-1-1-11111-1-1-1-1111100003333−3−3−3−300000000000033−3−30000000000
χ362222-12-22-222-1-1-1222222111122-2-1-111-1-1-2-2-2-22222-1-1-1-1-1-111111111-2-1-1112222-2-2-2-2-2-2-1-111-1-111-1-1-1-11111-1-1-1-111110000−3−3−3−33333000000000000−3−3330000000000
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χ1298-8-88-40000−2−25−2+2544-42+252−252+252−25−2−25−2+2543−43−434300000001+51−500000000−1−5−1+5−1−51+5−1+51−5−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-88-40000−2−25−2+2544-42+252−252+252−25−2−25−2+25−434343−4300000001+51−500000000−1−5−1+5−1−51+5−1+51−52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88-40000−2+25−2−2544-42−252+252−252+25−2+25−2−2543−43−434300000001−51+500000000−1+5−1−5−1+51−5−1−51+52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-40000−2+25−2−2544-42−252+252−252+25−2+25−2−25−434343−4300000001−51+500000000−1+5−1−5−1+51−5−1−51+5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1).