Finite Group Databasebeta

← Group #14454113

Character table — Group #14454113

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444888888888888888888888888121216161616161616161616161620202020202020202020242424242424242424242430304040404040404048484848606060120120
order1222344556661010101010108812121515202020203030303030302466121224244040404060606060120120120120120120120120441010202030303030606060602222246612124482020202040404040446666824242020202028844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111-1-1-1-1111-1-1-1-1111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11111111-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111
χ9111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111111-1-11111-1-1-1-11111-1-1-1-1-111-1-11-1-11-1
χ10111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1-111-11
χ11111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-111-1-1-1-11111-1-111-1-1-1-1-1-1-111-111-11
χ12111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-111111-1-1111-1-11-1
χ13111111111111111111-1-111111111111111-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-1111-1-111-1111-1
χ14111111111111111111-1-111111111111111-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111-11-11111-1-1-1-111-1-111-1-1-1-1-1111-1-1-11
χ15111111111111111111-1-111111111111111-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-111111-1-11-1-1-11
χ16111111111111111111-1-111111111111111-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111111-11-1-1-1-11111-1-1-1-111-1-1-111-1-1-1111-1
χ172222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000−1−52−1+52−1−52−1+5200000
χ182222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+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+52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000-2-2-21+521+521−521−521+521+521−521−520000000001+521−521+521−5200000
χ192222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1−52−1+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+52221+521−521+521−521+521+521−521−521+521+521−521−520000000000-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000001+521−521+521−5200000
χ202222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1−52−1+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+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52000000000022-21+521+521−521−521+521+521−521−52000000000−1−52−1+52−1−52−1+5200000
χ212222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000002-2-2−1−52−1−52−1+52−1+521+521+521−521−52000000000−1−52−1+521+521−5200000
χ222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000-2221+521+521−521−52−1−52−1−52−1+52−1+520000000001+521−52−1−52−1+5200000
χ232222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000-22-2−1−52−1−52−1+52−1+521+521+521−521−520000000001+521−52−1−52−1+5200000
χ242222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000002-221+521+521−521−52−1−52−1−52−1+52−1+52000000000−1−52−1+521+521−5200000
χ252222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000−1+52−1−52−1+52−1−5200000
χ262222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000-2-2-21−521−521+521+521−521−521+521+520000000001−521+521−521+5200000
χ272222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52221−521+521−521+521−521−521+521+521−521−521+521+520000000000-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000001−521+521−521+5200000
χ282222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52000000000022-21−521−521+521+521−521−521+521+52000000000−1+52−1−52−1+52−1−5200000
χ292222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000002-2-2−1+52−1+52−1−52−1−521−521−521+521+52000000000−1+52−1−521−521+5200000
χ302222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000-2221−521−521+521+52−1+52−1+52−1−52−1−520000000001−521+52−1+52−1−5200000
χ312222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000-22-2−1+52−1+52−1−52−1−521−521−521+521+520000000001−521+52−1+52−1−5200000
χ322222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000002-221−521−521+521+52−1+52−1+52−1−52−1−52000000000−1+52−1−521−521+5200000
χ3322222-2-22222222222200-2-222-2-2-2-2222222000000000000-2-2-2-2000000002-200000000000000002-222-2-20002-22-200002200000000000-20000
χ3422222-2-22222222222200-2-222-2-2-2-2222222000000000000-2-2-2-2000000002-20000000000000000-22-2-2220002-22-20000-2-20000000000020000
χ3522222-2-22222222222200-2-222-2-2-2-2222222000000000000-2-2-2-200000000-2200000000000000002-222-2-2000-22-220000-2-20000000000020000
χ3622222-2-22222222222200-2-222-2-2-2-2222222000000000000-2-2-2-200000000-220000000000000000-22-2-222000-22-2200002200000000000-20000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1222222-1-1-1-10000000000000-1-1-1-12-1-1000000000
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000000001111-211000000000
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-21111-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2111111112222-2-211110000000000000-1-1-1-1-211000000000
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-21111-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-211111111-2-2-2-222-1-1-1-1000000000000011112-1-1000000000
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-2-1-11111-2-2-2-2-1-1-1-1111111110022-2-2-1-1-1-1111122-2-222-1-1-1-10000000000000-1-111-211000000000
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-2-1-11111-2-2-2-2-1-1-1-1111111110022-2-2-1-1-1-11111-2-222-2-21111000000000000011-1-12-1-1000000000
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-1-111-2-2-2-2-1-1-1-11111111100-2-2221111-1-1-1-122-2-2-2-211110000000000000-1-1112-1-1000000000
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-2211-1-111-2-2-2-2-1-1-1-11111111100-2-2221111-1-1-1-1-2-22222-1-1-1-1000000000000011-1-1-211000000000
χ452-2-222-2222-2-22-2-2-2-2222-2-222222-2-2-2-2-2-2220000002-22-22-2-2-22222-2-222-2-2000000000000002-22-200000000000000000002-22-2000000000000
χ462-2-222-2222-2-22-2-2-2-2222-2-222222-2-2-2-2-2-2220000002-22-22-2-2-22222-2-222-2-200000000000000-22-220000000000000000000-22-22000000000000
χ472-2-222-2222-2-22-2-2-2-222-22-222222-2-2-2-2-2-222000000-22-22-22-2-222-2-222-2-222000000000000002-2-2200000000000000000002-2-22000000000000
χ482-2-222-2222-2-22-2-2-2-222-22-222222-2-2-2-2-2-222000000-22-22-22-2-222-2-222-2-22200000000000000-222-20000000000000000000-222-2000000000000
χ492-2-22-1-222211-1-2-2-2-2222-21-1-1-122-2-21111-1-100−i3i3−i3i3-112-22-211-1-1-1-111-1-111000000−i3i3−i3i3−i3i3−i3i32-22-200−i3i3−i3i30000000000000-11-110−i3i3000000000
χ502-2-22-1-222211-1-2-2-2-2222-21-1-1-122-2-21111-1-100−i3i3−i3i3-112-22-211-1-1-1-111-1-111000000−i3i3−i3i3−i3i3−i3i3-22-2200i3−i3i3−i300000000000001-11-10i3−i3000000000
χ512-2-22-1-222211-1-2-2-2-2222-21-1-1-122-2-21111-1-100i3−i3i3−i3-112-22-211-1-1-1-111-1-111000000i3−i3i3−i3i3−i3i3−i32-22-200i3−i3i3−i30000000000000-11-110i3−i3000000000
χ522-2-22-1-222211-1-2-2-2-2222-21-1-1-122-2-21111-1-100i3−i3i3−i3-112-22-211-1-1-1-111-1-111000000i3−i3i3−i3i3−i3i3−i3-22-2200−i3i3−i3i300000000000001-11-10−i3i3000000000
χ532-2-22-1-222211-1-2-2-2-222-221-1-1-122-2-21111-1-100−i3i3i3−i31-1-22-2211-1-111-1-111-1-1000000−i3i3−i3i3i3−i3i3−i32-2-2200−i3i3−i3i30000000000000-111-10i3−i3000000000
χ542-2-22-1-222211-1-2-2-2-222-221-1-1-122-2-21111-1-100−i3i3i3−i31-1-22-2211-1-111-1-111-1-1000000−i3i3−i3i3i3−i3i3−i3-222-200i3−i3i3−i300000000000001-1-110−i3i3000000000
χ552-2-22-1-222211-1-2-2-2-222-221-1-1-122-2-21111-1-100i3−i3−i3i31-1-22-2211-1-111-1-111-1-1000000i3−i3i3−i3−i3i3−i3i32-2-2200i3−i3i3−i30000000000000-111-10−i3i3000000000
χ562-2-22-1-222211-1-2-2-2-222-221-1-1-122-2-21111-1-100i3−i3−i3i31-1-22-2211-1-111-1-111-1-1000000i3−i3i3−i3−i3i3−i3i3-222-200−i3i3−i3i300000000000001-1-110i3−i3000000000
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χ1108-8-88-48-8−2−25−2+2544-42+252+252−252−25−2−25−2+2500-441+51−52+252−25−2−25−2+25−1−5−1−5−1+5−1+51+51−50000000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-8−2+25−2−2544-42−252−252+252+25−2+25−2−2500-441−51+52−252+25−2+25−2−25−1+5−1+5−1−5−1−51−51+50000000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000

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