Finite Group Databasebeta

← Group #14480132

Character table — Group #14480132

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222233334444444444666666888812121212222244444444446666888888888812121212121216161616242424242222444444444466668888888888121212121212161616162424242455551010101010101010101015151515202020202020202020203030303030304040404060606060
order122234444446664444444412121212121222444412121212444451010101520202020202030303020202020202020206060606060601010202020206060606020202020510101015202020202020303030202020202020202060606060606010102020202060606060202020202222644444466644444444121212121212224444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-1
χ61111111-1-1-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111111-1-1-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111111-1-1-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111111-1-1-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111
χ81111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ911111-1-111-1-111111111-11-1-1-1-1-111-1-1-1-1111-11-11-11-111111-1-111-1-111111111-11-1-1-1-1-111-1-1-1-1111-11-11-11-111111-1-111-1-111111111-11-1-1-1-1-111-1-1-1-1111-11-11-11-111111-1-111-1-111111111-11-1-1-1-1-111-1-1-1-1111-11-11-11-1
χ1011111-1-111-1-11111111-11-11-1-1-1-111-1-1-1-111-11-11-11-1111111-1-111-1-11111111-11-11-1-1-1-111-1-1-1-111-11-11-11-1111111-1-111-1-11111111-11-11-1-1-1-111-1-1-1-111-11-11-11-1111111-1-111-1-11111111-11-11-1-1-1-111-1-1-1-111-11-11-11-11
χ1111111-1-111-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-11-11-1-11-1111111-1-111-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-11-11-1-11-1111111-1-111-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-11-11-1-11-1111111-1-111-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-11-11-1-11-11
χ1211111-1-111-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-1-11-111-11-111111-1-111-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-1-11-111-11-111111-1-111-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-1-11-111-11-111111-1-111-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-1-11-111-11-1
χ1311111-1-1-1-11111111111-1-11-1-111-1-1-1-111-1-11-1-111-1-1111111-1-1-1-11111111111-1-11-1-111-1-1-1-111-1-11-1-111-1-1111111-1-1-1-11111111111-1-11-1-111-1-1-1-111-1-11-1-111-1-1111111-1-1-1-11111111111-1-11-1-111-1-1-1-111-1-11-1-111-1-11
χ1411111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-1-111-1-111-111111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-1-111-1-111-111111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-1-111-1-111-111111-1-1-1-1111111111-111-1-1-111-1-1-1-111-1-1-111-1-111-1
χ1511111-1-1-1-111111-1-1-1-11-1-11-1-111-1-111-1-1111-1-11-111-111111-1-1-1-111111-1-1-1-11-1-11-1-111-1-111-1-1111-1-11-111-111111-1-1-1-111111-1-1-1-11-1-11-1-111-1-111-1-1111-1-11-111-111111-1-1-1-111111-1-1-1-11-1-11-1-111-1-111-1-1111-1-11-111-1
χ1611111-1-1-1-111111-1-1-1-1-111-1-1-111-1-111-1-111-111-11-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-111-1-111-1-111-111-11-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-111-1-111-1-111-111-11-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-111-1-111-1-111-111-11-1-11
χ172222-1222222-1-1-100002222-1-1-1-1-1-1000000-1-1-1-100002222-1222222-1-1-100002222-1-1-1-1-1-1000000-1-1-1-100002222-1222222-1-1-100002222-1-1-1-1-1-1000000-1-1-1-100002222-1222222-1-1-100002222-1-1-1-1-1-1000000-1-1-1-10000
χ182222-1222222-1-1-10000-2-2-2-2-1-1-1-1-1-1000000111100002222-1222222-1-1-10000-2-2-2-2-1-1-1-1-1-1000000111100002222-1222222-1-1-10000-2-2-2-2-1-1-1-1-1-1000000111100002222-1222222-1-1-10000-2-2-2-2-1-1-1-1-1-100000011110000
χ192222-122-2-2-2-2-1-1-1000022-2-2-1-11111000000-1-11100002222-122-2-2-2-2-1-1-1000022-2-2-1-11111000000-1-11100002222-122-2-2-2-2-1-1-1000022-2-2-1-11111000000-1-11100002222-122-2-2-2-2-1-1-1000022-2-2-1-11111000000-1-1110000
χ202222-122-2-2-2-2-1-1-10000-2-222-1-1111100000011-1-100002222-122-2-2-2-2-1-1-10000-2-222-1-1111100000011-1-100002222-122-2-2-2-2-1-1-10000-2-222-1-1111100000011-1-100002222-122-2-2-2-2-1-1-10000-2-222-1-1111100000011-1-10000
χ212222-1-2-222-2-2-1-1-100002-22-21111-1-1000000-11-1100002222-1-2-222-2-2-1-1-100002-22-21111-1-1000000-11-1100002222-1-2-222-2-2-1-1-100002-22-21111-1-1000000-11-1100002222-1-2-222-2-2-1-1-100002-22-21111-1-1000000-11-110000
χ222222-1-2-222-2-2-1-1-10000-22-221111-1-10000001-11-100002222-1-2-222-2-2-1-1-10000-22-221111-1-10000001-11-100002222-1-2-222-2-2-1-1-10000-22-221111-1-10000001-11-100002222-1-2-222-2-2-1-1-10000-22-221111-1-10000001-11-10000
χ232222-1-2-2-2-222-1-1-100002-2-2211-1-111000000-111-100002222-1-2-2-2-222-1-1-100002-2-2211-1-111000000-111-100002222-1-2-2-2-222-1-1-100002-2-2211-1-111000000-111-100002222-1-2-2-2-222-1-1-100002-2-2211-1-111000000-111-10000
χ242222-1-2-2-2-222-1-1-10000-222-211-1-1110000001-1-1100002222-1-2-2-2-222-1-1-10000-222-211-1-1110000001-1-1100002222-1-2-2-2-222-1-1-10000-222-211-1-1110000001-1-1100002222-1-2-2-2-222-1-1-10000-222-211-1-1110000001-1-110000
χ2522-2-222-200002-2-222-2-200002-200002-200000000000022-2-222-200002-2-222-2-200002-200002-200000000000022-2-222-200002-2-222-2-200002-200002-200000000000022-2-222-200002-2-222-2-200002-200002-2000000000000
χ2622-2-222-200002-2-2-2-22200002-20000-2200000000000022-2-222-200002-2-2-2-22200002-20000-2200000000000022-2-222-200002-2-2-2-22200002-20000-2200000000000022-2-222-200002-2-2-2-22200002-20000-22000000000000
χ2722-2-22-2200002-2-222-2-20000-220000-2200000000000022-2-22-2200002-2-222-2-20000-220000-2200000000000022-2-22-2200002-2-222-2-20000-220000-2200000000000022-2-22-2200002-2-222-2-20000-220000-22000000000000
χ2822-2-22-2200002-2-2-2-2220000-2200002-200000000000022-2-22-2200002-2-2-2-2220000-2200002-200000000000022-2-22-2200002-2-2-2-2220000-2200002-200000000000022-2-22-2200002-2-2-2-2220000-2200002-2000000000000
χ292-22-22002-200-2-222i−2i2i−2i000000002-200002i−2i000000002-22-22002-200-2-222i−2i2i−2i000000002-200002i−2i000000002-22-22002-200-2-222i−2i2i−2i000000002-200002i−2i000000002-22-22002-200-2-222i−2i2i−2i000000002-200002i−2i00000000
χ302-22-22002-200-2-22−2i2i−2i2i000000002-20000−2i2i000000002-22-22002-200-2-22−2i2i−2i2i000000002-20000−2i2i000000002-22-22002-200-2-22−2i2i−2i2i000000002-20000−2i2i000000002-22-22002-200-2-22−2i2i−2i2i000000002-20000−2i2i00000000
χ312-22-2200-2200-2-222i−2i2i−2i00000000-220000−2i2i000000002-22-2200-2200-2-222i−2i2i−2i00000000-220000−2i2i000000002-22-2200-2200-2-222i−2i2i−2i00000000-220000−2i2i000000002-22-2200-2200-2-222i−2i2i−2i00000000-220000−2i2i00000000
χ322-22-2200-2200-2-22−2i2i−2i2i00000000-2200002i−2i000000002-22-2200-2200-2-22−2i2i−2i2i00000000-2200002i−2i000000002-22-2200-2200-2-22−2i2i−2i2i00000000-2200002i−2i000000002-22-2200-2200-2-22−2i2i−2i2i00000000-2200002i−2i00000000
χ332-2-22200002-2-22-22i−2i−2i2i0000002-200002i−2i00000000002-2-22200002-2-22-22i−2i−2i2i0000002-200002i−2i00000000002-2-22200002-2-22-22i−2i−2i2i0000002-200002i−2i00000000002-2-22200002-2-22-22i−2i−2i2i0000002-200002i−2i0000000000
χ342-2-22200002-2-22-2−2i2i2i−2i0000002-20000−2i2i00000000002-2-22200002-2-22-2−2i2i2i−2i0000002-20000−2i2i00000000002-2-22200002-2-22-2−2i2i2i−2i0000002-20000−2i2i00000000002-2-22200002-2-22-2−2i2i2i−2i0000002-20000−2i2i0000000000
χ352-2-2220000-22-22-22i−2i−2i2i000000-220000−2i2i00000000002-2-2220000-22-22-22i−2i−2i2i000000-220000−2i2i00000000002-2-2220000-22-22-22i−2i−2i2i000000-220000−2i2i00000000002-2-2220000-22-22-22i−2i−2i2i000000-220000−2i2i0000000000
χ362-2-2220000-22-22-2−2i2i2i−2i000000-2200002i−2i00000000002-2-2220000-22-22-2−2i2i2i−2i000000-2200002i−2i00000000002-2-2220000-22-22-2−2i2i2i−2i000000-2200002i−2i00000000002-2-2220000-22-22-2−2i2i2i−2i000000-2200002i−2i0000000000
χ3744-4-4-24-40000-22200000000-2200000000000000000044-4-4-24-40000-22200000000-2200000000000000000044-4-4-24-40000-22200000000-2200000000000000000044-4-4-24-40000-22200000000-22000000000000000000
χ3844-4-4-2-440000-222000000002-200000000000000000044-4-4-2-440000-222000000002-200000000000000000044-4-4-2-440000-222000000002-200000000000000000044-4-4-2-440000-222000000002-2000000000000000000
χ394-44-4-2004-40022-2000000000000-22000000000000004-44-4-2004-40022-2000000000000-22000000000000004-44-4-2004-40022-2000000000000-22000000000000004-44-4-2004-40022-2000000000000-2200000000000000
χ404-44-4-200-440022-20000000000002-2000000000000004-44-4-200-440022-20000000000002-2000000000000004-44-4-200-440022-20000000000002-2000000000000004-44-4-200-440022-20000000000002-200000000000000
χ414-4-44-200004-42-220000000000-2200000000000000004-4-44-200004-42-220000000000-2200000000000000004-4-44-200004-42-220000000000-2200000000000000004-4-44-200004-42-220000000000-220000000000000000
χ424-4-44-20000-442-2200000000002-200000000000000004-4-44-20000-442-2200000000002-200000000000000004-4-44-20000-442-2200000000002-200000000000000004-4-44-20000-442-2200000000002-20000000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ4511111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ4611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1
χ471111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-111
χ481111111-1-1-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111111-1-1-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111111-1-1-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-1
χ491111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-1
χ501111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ5111111-1-111-1-111111111-11-1-1-1-1-111-1-1-1-1111-11-11-11-111111-1-111-1-111111111-11-1-1-1-1-111-1-1-1-1111-11-11-11-111111-1-111-1-111111111-11-1-1-1-1-111-1-1-1-1111-11-11-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111111-1-11111-1-1-11-11-11-11
χ5211111-1-111-1-11111111-11-11-1-1-1-111-1-1-1-111-11-11-11-1111111-1-111-1-11111111-11-11-1-1-1-111-1-1-1-111-11-11-11-1111111-1-111-1-11111111-11-11-1-1-1-111-1-1-1-111-11-11-11-11-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11-11111-1-11111-1-11-11-11-11-1
χ5311111-1-111-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-11-11-1-11-1111111-1-111-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-11-11-1-11-1111111-1-111-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-11-11-1-11-11-1-1-1-1-111-1-111-1-1-11111-11-111111-1-1-1-1-1-111-11-111-11-1
χ5411111-1-111-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-1-11-111-11-111111-1-111-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-1-11-111-11-111111-1-111-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-1-11-111-11-1-1-1-1-1-111-1-111-1-1-111111-11-11111-1-1-1-1-1-1111-11-1-11-11
χ5511111-1-1-1-11111111111-1-11-1-111-1-1-1-111-1-11-1-111-1-1111111-1-1-1-11111111111-1-11-1-111-1-1-1-111-1-11-1-111-1-1111111-1-1-1-11111111111-1-11-1-111-1-1-1-111-1-11-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-111-111-1-111-1
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χ1658-88-8-4008-80044-4000000000000-4400000000000000−2−252+25−2−252+251+500−2−252+2500−1−5−1−51+50000000000001+5−1−500000000000000−2+252−25−2+252−251−500−2+252−2500−1+5−1+51−50000000000001−5−1+500000000000000000000000000000000000000000000000000000000
χ1668-88-8-400-880044-40000000000004-400000000000000−2−252+25−2−252+251+5002+25−2−2500−1−5−1−51+5000000000000−1−51+500000000000000−2+252−25−2+252−251−5002−25−2+2500−1+5−1+51−5000000000000−1+51−500000000000000000000000000000000000000000000000000000000
χ1678-8-88-400008-84-440000000000-440000000000000000−2−252+252+25−2−251+50000−2−252+25−1−51+5−1−500000000001+5−1−50000000000000000−2+252−252−25−2+251−50000−2+252−25−1+51−5−1+500000000001−5−1+50000000000000000000000000000000000000000000000000000000000
χ1688-8-88-40000-884-4400000000004-40000000000000000−2−252+252+25−2−251+500002+25−2−25−1−51+5−1−50000000000−1−51+50000000000000000−2+252−252−25−2+251−500002−25−2+25−1+51−5−1+50000000000−1+51−50000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.