Finite Group Databasebeta

← Group #14514450

Character table — Group #14514450

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size1122222222222334444666666666668888101010101212121212121212121212121616161616161616161616161616161616162424242424242424242424242424242430303030606060606060606080808080
order122445510101010101022202020202441010101010101010361212224422224444202020206121515303030303030606060606060606010101010101010102020202020202020224422444444661212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111-1-11111111111-1-1-1-11-1-11111111111-1-11-11-111-1-111-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ6111-1-11111111111-1-1-1-11-1-11111111111-1-11-11-1-1-111-1-111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11-11-111-11-1
χ7111-1-11111111111-1-1-1-11-1-11111111111-1-1-11-1111-1-111-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ8111-1-11111111111-1-1-1-11-1-11111111111-1-1-11-11-1-111-1-111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-11-11-1-11-11
χ911-11-111-1-1-1-1111111-1-1-11-111-1-1-1-11111111-1-111-11-11-11-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11-1-1111-1-1-1-1111-1-11
χ1011-11-111-1-1-1-1111111-1-1-11-111-1-1-1-11111111-1-11-11-11-11-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1111-1-11-1-11111-1-11-1-11
χ1111-11-111-1-1-1-1111111-1-1-11-111-1-1-1-1111111-111-11-11-11-11-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1-111-1-1-11111-1-1-111-1
χ1211-11-111-1-1-1-1111111-1-1-11-111-1-1-1-1111111-111-1-11-11-11-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-111-111-1-1-1-111-111-1
χ1311-1-1111-1-1-1-11111-1-111-1-1111-1-1-1-11111-1-111-1-11-1-111-1-11-1-111-1111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11-1-11-111-111-1-1
χ1411-1-1111-1-1-1-11111-1-111-1-1111-1-1-1-11111-1-111-1-1-111-1-111-1-1-111-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-111-11-1-1111-1-1
χ1511-1-1111-1-1-1-11111-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-111-1-11-1-111-1111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-111-11-1-11-1-111
χ1611-1-1111-1-1-1-11111-1-111-1-1111-1-1-1-11111-1-1-1-111-111-1-111-1-1-111-1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111-1-11-111-1-1-111
χ17222222222222222222222222222222-1-1-1-12222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222200000000-1-1-1-1
χ18222222222222222222222222222222-1-1-1-1-2-2-2-2000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2000000001111
χ1922222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222000022222222−1−52−1+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+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+520000000000000000
χ2022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222220000-2-2-2-2-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ2122222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222000022222222−1+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+52−1−52−1−52−1+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+52−1−520000000000000000
χ2222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222220000-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ23222-2-22222222222-2-2-2-22-2-222222222-1-1112-22-200000000-2-2-2-2-11-1-1-1-1-1-1-1-11111111100000000000000002-22-200000000-11-11
χ24222-2-22222222222-2-2-2-22-2-222222222-1-111-22-2200000000-2-2-2-2-11-1-1-1-1-1-1-1-1111111110000000000000000-22-22000000001-11-1
χ25222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52221+521−521+521−522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2000022-2-222-2-21+521−521+521−522-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+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+521+521−521+521−520000000000000000
χ26222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52221+521−521+521−522-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-20000-2-222-2-2221+521−521+521−522-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ27222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52221−521+521−521+522-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2000022-2-222-2-21−521+521−521+522-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ28222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52221−521+521−521+522-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-20000-2-222-2-2221−521+521−521+522-2−1+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+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ2922-22-222-2-2-2-2222222-2-2-22-222-2-2-2-222-1-1-1-12-2-220000000022-2-211-1-11111-1-1-1-1-1-1111100000000000000002-2-2200000000-111-1
χ3022-22-222-2-2-2-2222222-2-2-22-222-2-2-2-222-1-1-1-1-222-20000000022-2-211-1-11111-1-1-1-1-1-111110000000000000000-222-2000000001-1-11
χ3122-22-2−1−52−1+521+521+521−521−52−1−52−1+5222−1−52−1+521+521−52-22-2−1−52−1+521+521+521−521−52−1−52−1+52222200002-22-22-22-2−1−52−1+521+521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000000000
χ3222-22-2−1−52−1+521+521+521−521−52−1−52−1+5222−1−52−1+521+521−52-22-2−1−52−1+521+521+521−521−52−1−52−1+5222220000-22-22-22-22−1−52−1+521+521−52-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+520000000000000000
χ3322-22-2−1+52−1−521−521−521+521+52−1+52−1−5222−1+52−1−521−521+52-22-2−1+52−1−521−521−521+521+52−1+52−1−52222200002-22-22-22-2−1+52−1−521−521+52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000
χ3422-22-2−1+52−1−521−521−521+521+52−1+52−1−5222−1+52−1−521−521+52-22-2−1+52−1−521−521−521+521+52−1+52−1−5222220000-22-22-22-22−1+52−1−521−521+52-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+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+52−1−521−521+52−1+52−1−520000000000000000
χ3522-2-2222-2-2-2-22222-2-222-2-2222-2-2-2-222-1-11122-2-200000000-2-2221-1-1-11111-1-11111-1-1-1-1000000000000000022-2-200000000-1-111
χ3622-2-2222-2-2-2-22222-2-222-2-2222-2-2-2-222-1-111-2-22200000000-2-2221-1-1-11111-1-11111-1-1-1-10000000000000000-2-2220000000011-1-1
χ3722-2-22−1−52−1+521+521+521−521−52−1−52−1+52221+521−52−1−52−1+52-2-22−1−52−1+521+521+521−521−52−1−52−1+5222-2-200002-2-222-2-221+521−52−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000000000000000
χ3822-2-22−1−52−1+521+521+521−521−52−1−52−1+52221+521−52−1−52−1+52-2-22−1−52−1+521+521+521−521−52−1−52−1+5222-2-20000-222-2-222-21+521−52−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+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+521−520000000000000000
χ3922-2-22−1+52−1−521−521−521+521+52−1+52−1−52221−521+52−1+52−1−52-2-22−1+52−1−521−521−521+521+52−1+52−1−5222-2-200002-2-222-2-221−521+52−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000000000000000
χ4022-2-22−1+52−1−521−521−521+521+52−1+52−1−52221−521+52−1+52−1−52-2-22−1+52−1−521−521−521+521+52−1+52−1−5222-2-20000-222-2-222-21−521+52−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+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+520000000000000000
χ413333333333333-1-13333-1-1-1-1-1-1-1-1-1-1-1000033331111-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-10000
χ423333333333333-1-13333-1-1-1-1-1-1-1-1-1-1-100003333-1-1-1-11111-1-1-1-1000000000000000000-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111110000
χ433333333333333-1-13333-1-1-1-1-1-1-1-1-1-1-10000-3-3-3-31111-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-1-1-1-1-11111-1-1-1-111110000
χ443333333333333-1-13333-1-1-1-1-1-1-1-1-1-1-10000-3-3-3-3-1-1-1-11111-1-1-1-1000000000000000000-1-1-1-1-1-1-1-11111111111111111-1-1-1-10000
χ45333-3-333333333-1-1-3-3-3-3-111-1-1-1-1-1-1-1-100003-33-311-1-1-1-11111110000000000000000001111-1-1-1-1-1-1-1-11111-11-111-11-1-11-110000
χ46333-3-333333333-1-1-3-3-3-3-111-1-1-1-1-1-1-1-100003-33-3-1-11111-1-11111000000000000000000-1-1-1-111111111-1-1-1-1-11-11-11-111-11-10000
χ47333-3-333333333-1-1-3-3-3-3-111-1-1-1-1-1-1-1-10000-33-3311-1-1-1-11111110000000000000000001111-1-1-1-1-1-1-1-111111-11-1-11-111-11-10000
χ48333-3-333333333-1-1-3-3-3-3-111-1-1-1-1-1-1-1-10000-33-33-1-11111-1-11111000000000000000000-1-1-1-111111111-1-1-1-11-11-11-11-1-11-110000
χ4933-33-333-3-3-3-333-1-133-3-31-11-1-11111-1-100003-3-331-11-1-11-11-1-11100000000000000000011-1-111-1-1-1-111-1-111-111-111-1-111-1-10000
χ5033-33-333-3-3-3-333-1-133-3-31-11-1-11111-1-100003-3-33-11-111-11-1-1-111000000000000000000-1-111-1-11111-1-111-1-1-111-1-1-111-1-1110000
χ5133-33-333-3-3-3-333-1-133-3-31-11-1-11111-1-10000-333-31-11-1-11-11-1-11100000000000000000011-1-111-1-1-1-111-1-1111-1-11-1-111-1-1110000
χ5233-33-333-3-3-3-333-1-133-3-31-11-1-11111-1-10000-333-3-11-111-11-1-1-111000000000000000000-1-111-1-11111-1-111-1-11-1-1111-1-111-1-10000
χ5333-3-3333-3-3-3-333-1-1-3-33311-1-1-11111-1-1000033-3-31-1-11-111-111-1-100000000000000000011-1-1-1-111-1-11111-1-1-1-1111-1-111-1-110000
χ5433-3-3333-3-3-3-333-1-1-3-33311-1-1-11111-1-1000033-3-3-111-11-1-1111-1-1000000000000000000-1-11111-1-111-1-1-1-111-1-111-111-1-111-10000
χ5533-3-3333-3-3-3-333-1-1-3-33311-1-1-11111-1-10000-3-3331-1-11-111-111-1-100000000000000000011-1-1-1-111-1-11111-1-111-1-1-111-1-111-10000
χ5633-3-3333-3-3-3-333-1-1-3-33311-1-1-11111-1-10000-3-333-111-11-1-1111-1-1000000000000000000-1-11111-1-111-1-1-1-11111-1-11-1-111-1-110000
χ5744444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544−1−5−1+5−1−5−1+5444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-2-2-2-2000000000000−1−5−1+5−1−5−1+5-2-21+521−521+521+521−521−521+521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000
χ5844444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544−1+5−1−5−1+5−1−5444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-2-2-2-2000000000000−1+5−1−5−1+5−1−5-2-21−521+521−521−521+521+521−521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000
χ59444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5441+51−51+51−54-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-2-2220000000000001+51−51+51−5-221+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ60444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5441−51+51−51+54-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-2-2220000000000001−51+51−51+5-221−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000
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χ10012-12000−3+35−3−35−6ζ2−6ζ22+6ζ38+6ζ586ζ2+6ζ22−6ζ38−6ζ58−6ζ14+6ζ26−6ζ34+6ζ466ζ14−6ζ26+6ζ34−6ζ463−353+354-40000000−1+5−1−52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51+50000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1).