Finite Group Databasebeta

← Group #14437767

Character table — Group #14437767

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222444444666666668888882424222244444444448888881212121212121212161616161616484822224444444444888888121212121212121216161616161648485555101010101010101010102020202020203030303030303030404040404040120120
order12223444444666121212121212888888882466121244510101015202020202020303030606060606060404040404040404010203030606020205101010152020202020203030306060606060604040404040404040102030306060202022226444444666121212121212888888882466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111-1-1-1-111111-1-1-1-1111111-1-1-1-11-111-1-11-111111-1-1-1-111111-1-1-1-1111111-1-1-1-11-111-1-11-111111-1-1-1-111111-1-1-1-1111111-1-1-1-11-111-1-11-111111-1-1-1-111111-1-1-1-1111111-1-1-1-11-111-1-11-1
χ611111-1-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-111-1111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-111-1111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-111-1111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-111-11
χ711111-1-1-1-111111-1-1-1-111-1-1-1-111111-111-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-111111-111-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-111111-111-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-111111-111-1-1-11
χ811111-1-1-1-111111-1-1-1-111-1-1-1-11111-11-1-1111-111111-1-1-1-111111-1-1-1-111-1-1-1-11111-11-1-1111-111111-1-1-1-111111-1-1-1-111-1-1-1-11111-11-1-1111-111111-1-1-1-111111-1-1-1-111-1-1-1-11111-11-1-1111-1
χ92222222-2-2-2-222222-2-2-2-200000000000000002222222-2-2-2-222222-2-2-2-200000000000000002222222-2-2-2-222222-2-2-2-200000000000000002222222-2-2-2-222222-2-2-2-20000000000000000
χ1022222-2-222-2-2222-2-222-2-2000000000000000022222-2-222-2-2222-2-222-2-2000000000000000022222-2-222-2-2222-2-222-2-2000000000000000022222-2-222-2-2222-2-222-2-20000000000000000
χ112222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-1002222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-1002222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-1002222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100
χ122222-1222222-1-1-1-1-1-1-1-1-100000000-2-21111002222-1222222-1-1-1-1-1-1-1-1-100000000-2-21111002222-1222222-1-1-1-1-1-1-1-1-100000000-2-21111002222-1222222-1-1-1-1-1-1-1-1-100000000-2-2111100
χ132222-122-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i3002222-122-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i3002222-122-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i3002222-122-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300
χ142222-122-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i3002222-122-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i3002222-122-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i3002222-122-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300
χ152222-1-2-222-2-2-1-1-111-1-1110000000000−i3i3i3−i3002222-1-2-222-2-2-1-1-111-1-1110000000000−i3i3i3−i3002222-1-2-222-2-2-1-1-111-1-1110000000000−i3i3i3−i3002222-1-2-222-2-2-1-1-111-1-1110000000000−i3i3i3−i300
χ162222-1-2-222-2-2-1-1-111-1-1110000000000i3−i3−i3i3002222-1-2-222-2-2-1-1-111-1-1110000000000i3−i3−i3i3002222-1-2-222-2-2-1-1-111-1-1110000000000i3−i3−i3i3002222-1-2-222-2-2-1-1-111-1-1110000000000i3−i3−i3i300
χ172222-1-2-2-2-222-1-1-11111-1-1000000002-2-1-111002222-1-2-2-2-222-1-1-11111-1-1000000002-2-1-111002222-1-2-2-2-222-1-1-11111-1-1000000002-2-1-111002222-1-2-2-2-222-1-1-11111-1-1000000002-2-1-11100
χ182222-1-2-2-2-222-1-1-11111-1-100000000-2211-1-1002222-1-2-2-2-222-1-1-11111-1-100000000-2211-1-1002222-1-2-2-2-222-1-1-11111-1-100000000-2211-1-1002222-1-2-2-2-222-1-1-11111-1-100000000-2211-1-100
χ1922-2-2200002-2-2-2200002-200002i2i−2i−2i0000000022-2-2200002-2-2-2200002-200002i2i−2i−2i0000000022-2-2200002-2-2-2200002-200002i2i−2i−2i0000000022-2-2200002-2-2-2200002-200002i2i−2i−2i00000000
χ2022-2-2200002-2-2-2200002-20000−2i−2i2i2i0000000022-2-2200002-2-2-2200002-20000−2i−2i2i2i0000000022-2-2200002-2-2-2200002-20000−2i−2i2i2i0000000022-2-2200002-2-2-2200002-20000−2i−2i2i2i00000000
χ2122-2-220000-22-2-220000-222i2i−2i−2i00000000000022-2-220000-22-2-220000-222i2i−2i−2i00000000000022-2-220000-22-2-220000-222i2i−2i−2i00000000000022-2-220000-22-2-220000-222i2i−2i−2i000000000000
χ2222-2-220000-22-2-220000-22−2i−2i2i2i00000000000022-2-220000-22-2-220000-22−2i−2i2i2i00000000000022-2-220000-22-2-220000-22−2i−2i2i2i00000000000022-2-220000-22-2-220000-22−2i−2i2i2i000000000000
χ232-22-22002i−2i002-2-2002i−2i002−22−2−i2i2−i2i2000000002-22-22002i−2i002-2-2002i−2i002−22−2−i2i2−i2i2000000002-22-22002i−2i002-2-2002i−2i002−22−2−i2i2−i2i2000000002-22-22002i−2i002-2-2002i−2i002−22−2−i2i2−i2i200000000
χ242-22-22002i−2i002-2-2002i−2i00−22−22i2−i2i2−i2000000002-22-22002i−2i002-2-2002i−2i00−22−22i2−i2i2−i2000000002-22-22002i−2i002-2-2002i−2i00−22−22i2−i2i2−i2000000002-22-22002i−2i002-2-2002i−2i00−22−22i2−i2i2−i200000000
χ252-22-2200−2i2i002-2-200−2i2i002−22−2i2−i2i2−i2000000002-22-2200−2i2i002-2-200−2i2i002−22−2i2−i2i2−i2000000002-22-2200−2i2i002-2-200−2i2i002−22−2i2−i2i2−i2000000002-22-2200−2i2i002-2-200−2i2i002−22−2i2−i2i2−i200000000
χ262-22-2200−2i2i002-2-200−2i2i00−22−22−i2i2−i2i2000000002-22-2200−2i2i002-2-200−2i2i00−22−22−i2i2−i2i2000000002-22-2200−2i2i002-2-200−2i2i00−22−22−i2i2−i2i2000000002-22-2200−2i2i002-2-200−2i2i00−22−22−i2i2−i2i200000000
χ272-2-2222i−2i0000-22-22i−2i0000−i2i2i2−i22−2−22000000002-2-2222i−2i0000-22-22i−2i0000−i2i2i2−i22−2−22000000002-2-2222i−2i0000-22-22i−2i0000−i2i2i2−i22−2−22000000002-2-2222i−2i0000-22-22i−2i0000−i2i2i2−i22−2−2200000000
χ282-2-2222i−2i0000-22-22i−2i0000i2−i2−i2i2−222−2000000002-2-2222i−2i0000-22-22i−2i0000i2−i2−i2i2−222−2000000002-2-2222i−2i0000-22-22i−2i0000i2−i2−i2i2−222−2000000002-2-2222i−2i0000-22-22i−2i0000i2−i2−i2i2−222−200000000
χ292-2-222−2i2i0000-22-2−2i2i0000−i2i2i2−i2−222−2000000002-2-222−2i2i0000-22-2−2i2i0000−i2i2i2−i2−222−2000000002-2-222−2i2i0000-22-2−2i2i0000−i2i2i2−i2−222−2000000002-2-222−2i2i0000-22-2−2i2i0000−i2i2i2−i2−222−200000000
χ302-2-222−2i2i0000-22-2−2i2i0000i2−i2−i2i22−2−22000000002-2-222−2i2i0000-22-2−2i2i0000i2−i2−i2i22−2−22000000002-2-222−2i2i0000-22-2−2i2i0000i2−i2−i2i22−2−22000000002-2-222−2i2i0000-22-2−2i2i0000i2−i2−i2i22−2−2200000000
χ3144-4-4-200004-422-20000-22000000000000000044-4-4-200004-422-20000-22000000000000000044-4-4-200004-422-20000-22000000000000000044-4-4-200004-422-20000-220000000000000000
χ3244-4-4-20000-4422-200002-2000000000000000044-4-4-20000-4422-200002-2000000000000000044-4-4-20000-4422-200002-2000000000000000044-4-4-20000-4422-200002-20000000000000000
χ334-44-4-2004i−4i00-22200−2i2i0000000000000000004-44-4-2004i−4i00-22200−2i2i0000000000000000004-44-4-2004i−4i00-22200−2i2i0000000000000000004-44-4-2004i−4i00-22200−2i2i000000000000000000
χ344-44-4-200−4i4i00-222002i−2i0000000000000000004-44-4-200−4i4i00-222002i−2i0000000000000000004-44-4-200−4i4i00-222002i−2i0000000000000000004-44-4-200−4i4i00-222002i−2i000000000000000000
χ354-4-44-24i−4i00002-22−2i2i000000000000000000004-4-44-24i−4i00002-22−2i2i000000000000000000004-4-44-24i−4i00002-22−2i2i000000000000000000004-4-44-24i−4i00002-22−2i2i00000000000000000000
χ364-4-44-2−4i4i00002-222i−2i000000000000000000004-4-44-2−4i4i00002-222i−2i000000000000000000004-4-44-2−4i4i00002-222i−2i000000000000000000004-4-44-2−4i4i00002-222i−2i00000000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3911111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ4011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ4111111-1-1-1-111111-1-1-1-1111111-1-1-1-11-111-1-11-111111-1-1-1-111111-1-1-1-1111111-1-1-1-11-111-1-11-111111-1-1-1-111111-1-1-1-1111111-1-1-1-11-111-1-11-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-11
χ4211111-1-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-111-1111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-111-1111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-111-11-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-111111-111-1-11-1
χ4311111-1-1-1-111111-1-1-1-111-1-1-1-111111-111-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-111111-111-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-111111-111-1-1-11-1-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-11-1-1111-1
χ4411111-1-1-1-111111-1-1-1-111-1-1-1-11111-11-1-1111-111111-1-1-1-111111-1-1-1-111-1-1-1-11111-11-1-1111-111111-1-1-1-111111-1-1-1-111-1-1-1-11111-11-1-1111-1-1-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-11-111-1-1-11
χ452222222-2-2-2-222222-2-2-2-200000000000000002222222-2-2-2-222222-2-2-2-200000000000000002222222-2-2-2-222222-2-2-2-20000000000000000-2-2-2-2-2-2-22222-2-2-2-2-222220000000000000000
χ4622222-2-222-2-2222-2-222-2-2000000000000000022222-2-222-2-2222-2-222-2-2000000000000000022222-2-222-2-2222-2-222-2-20000000000000000-2-2-2-2-222-2-222-2-2-222-2-2220000000000000000
χ472222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-1002222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-1002222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100-2-2-2-21-2-2-2-2-2-211111111100000000-2-2111100
χ482222-1222222-1-1-1-1-1-1-1-1-100000000-2-21111002222-1222222-1-1-1-1-1-1-1-1-100000000-2-21111002222-1222222-1-1-1-1-1-1-1-1-100000000-2-2111100-2-2-2-21-2-2-2-2-2-21111111110000000022-1-1-1-100
χ492222-122-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i3002222-122-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i3002222-122-2-2-2-2-1-1-1-1-111110000000000−i3i3−i3i300-2-2-2-21-2-2222211111-1-1-1-10000000000i3−i3i3−i300
χ502222-122-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i3002222-122-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i3002222-122-2-2-2-2-1-1-1-1-111110000000000i3−i3i3−i300-2-2-2-21-2-2222211111-1-1-1-10000000000−i3i3−i3i300
χ512222-1-2-222-2-2-1-1-111-1-1110000000000−i3i3i3−i3002222-1-2-222-2-2-1-1-111-1-1110000000000−i3i3i3−i3002222-1-2-222-2-2-1-1-111-1-1110000000000−i3i3i3−i300-2-2-2-2122-2-222111-1-111-1-10000000000i3−i3−i3i300
χ522222-1-2-222-2-2-1-1-111-1-1110000000000i3−i3−i3i3002222-1-2-222-2-2-1-1-111-1-1110000000000i3−i3−i3i3002222-1-2-222-2-2-1-1-111-1-1110000000000i3−i3−i3i300-2-2-2-2122-2-222111-1-111-1-10000000000−i3i3i3−i300
χ532222-1-2-2-2-222-1-1-11111-1-1000000002-2-1-111002222-1-2-2-2-222-1-1-11111-1-1000000002-2-1-111002222-1-2-2-2-222-1-1-11111-1-1000000002-2-1-11100-2-2-2-212222-2-2111-1-1-1-11100000000-2211-1-100
χ542222-1-2-2-2-222-1-1-11111-1-100000000-2211-1-1002222-1-2-2-2-222-1-1-11111-1-100000000-2211-1-1002222-1-2-2-2-222-1-1-11111-1-100000000-2211-1-100-2-2-2-212222-2-2111-1-1-1-111000000002-2-1-11100
χ5522-2-2200002-2-2-2200002-200002i2i−2i−2i0000000022-2-2200002-2-2-2200002-200002i2i−2i−2i0000000022-2-2200002-2-2-2200002-200002i2i−2i−2i00000000-2-222-20000-2222-20000-220000−2i−2i2i2i00000000
χ5622-2-2200002-2-2-2200002-20000−2i−2i2i2i0000000022-2-2200002-2-2-2200002-20000−2i−2i2i2i0000000022-2-2200002-2-2-2200002-20000−2i−2i2i2i00000000-2-222-20000-2222-20000-2200002i2i−2i−2i00000000
χ5722-2-220000-22-2-220000-222i2i−2i−2i00000000000022-2-220000-22-2-220000-222i2i−2i−2i00000000000022-2-220000-22-2-220000-222i2i−2i−2i000000000000-2-222-200002-222-200002-2−2i−2i2i2i000000000000
χ5822-2-220000-22-2-220000-22−2i−2i2i2i00000000000022-2-220000-22-2-220000-22−2i−2i2i2i00000000000022-2-220000-22-2-220000-22−2i−2i2i2i000000000000-2-222-200002-222-200002-22i2i−2i−2i000000000000
χ592-22-22002i−2i002-2-2002i−2i002−22−2−i2i2−i2i2000000002-22-22002i−2i002-2-2002i−2i002−22−2−i2i2−i2i2000000002-22-22002i−2i002-2-2002i−2i002−22−2−i2i2−i2i200000000-22-22-200−2i2i00-22200−2i2i00−22−22i2−i2i2−i200000000
χ602-22-22002i−2i002-2-2002i−2i00−22−22i2−i2i2−i2000000002-22-22002i−2i002-2-2002i−2i00−22−22i2−i2i2−i2000000002-22-22002i−2i002-2-2002i−2i00−22−22i2−i2i2−i200000000-22-22-200−2i2i00-22200−2i2i002−22−2−i2i2−i2i200000000
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χ13988-8-8-400008-844-40000-440000000000000000−2−25−2−252+252+251+50000−2−252+25−1−5−1−51+500001+5−1−50000000000000000−2+25−2+252−252−251−50000−2+252−25−1+5−1+51−500001−5−1+50000000000000000000000000000000000000000000000000000
χ14088-8-8-40000-8844-400004-40000000000000000−2−25−2−252+252+251+500002+25−2−25−1−5−1−51+50000−1−51+50000000000000000−2+25−2+252−252−251−500002−25−2+25−1+5−1+51−50000−1+51−50000000000000000000000000000000000000000000000000000
χ1418-88-8-4008i−8i00-44400−4i4i000000000000000000−2−252+25−2−252+251+500−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ118001+5−1−5−1−5002ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118000000000000000000−2+252−25−2+252−251−500−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ94001−5−1+5−1+5002ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94000000000000000000000000000000000000000000000000000000
χ1428-88-8-400−8i8i00-444004i−4i000000000000000000−2−252+25−2−252+251+5004ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118001+5−1−5−1−500−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118000000000000000000−2+252−25−2+252−251−5004ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94001−5−1+5−1+500−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94000000000000000000000000000000000000000000000000000000
χ1438-8-88-48i−8i00004-44−4i4i00000000000000000000−2−252+252+25−2−251+5−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ1180000−1−51+5−1−52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ11800000000000000000000−2+252−252−25−2+251−5−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ940000−1+51−5−1+52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ9400000000000000000000000000000000000000000000000000000000
χ1448-8-88-4−8i8i00004-444i−4i00000000000000000000−2−252+252+25−2−251+54ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1180000−1−51+5−1−5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800000000000000000000−2+252−252−25−2+251−54ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ940000−1+51−5−1+5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ9400000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.