Finite Group Databasebeta

← Group #14453579

Character table — Group #14453579

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222224444444444444488888888888888888888888121212121616161616161616161616161620202020202020202424242424242424242430304040404040404848484860606080120120
order122234455666101010101010121215152020202030303030303024668242440404040606060601201201201201201201201204488101012202030303030606060602224668822202020204040404022466122424101010104441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-111
χ5111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1111111-1-11-11111-1-1-1-111-1111-1-111-1-11-1-1-11-1
χ6111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-1-11111-1-1-1111-11
χ7111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-11111-1-1-1111-1-1-1-111-111-1-11
χ8111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111111-1-1-111-1-1111-1-111-1
χ911111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-111-111111-1-1-1-1-1-1-111-111-1-111-1-1-1-111
χ1011111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-11111-1-1-111111-1-1-1-1111-1-11-1-1-1-1111111-1-1
χ1111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1111111-111-11111-1-1111-1-1-1
χ1211111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-11-1-1-1-1-11111-1-11-1-11-1-111-1-1-1-1-1111
χ1311111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-1-1-1-1-11111-1
χ1411111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1111-1-1-1-11-1-1-1-11
χ1511111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-111111-1-11-11
χ1611111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-11-1
χ172222222−1−52−1+52222−1−52−1−52−1−52−1+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+522222222−1−52−1−52−1+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+522222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52000000
χ182222222−1−52−1+52222−1−52−1−52−1−52−1+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+522222222−1−52−1−52−1+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+52-2-2-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−52000000
χ192222222−1−52−1+52222−1−52−1−52−1−52−1+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+522-222-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000002-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000000
χ202222222−1−52−1+52222−1−52−1−52−1−52−1+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+522-222-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-222−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000-221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000000
χ212222222−1−52−1+52222−1−52−1−52−1−52−1+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+52-22-2-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000-22−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000000
χ222222222−1−52−1+52222−1−52−1−52−1−52−1+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+52-22-2-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2221+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000002-21+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000000
χ232222222−1−52−1+52222−1−52−1−52−1−52−1+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+52-2-2-2-2222−1−52−1−52−1+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+5222221+521−52-21+521−521+521+521−521−521+521+521−521−5200000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000
χ242222222−1−52−1+52222−1−52−1−52−1−52−1+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+52-2-2-2-2222−1−52−1−52−1+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+52-2-2-2-21+521−52-21+521−521+521+521−521−521+521+521−521−5200000000221+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000
χ252222222−1+52−1−52222−1+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+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000
χ262222222−1+52−1−52222−1+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+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+52000000
χ272222222−1+52−1−52222−1+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+52−1−522-222-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000002-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52000000
χ282222222−1+52−1−52222−1+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+52−1−522-222-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-222−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000-221−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52000000
χ292222222−1+52−1−52222−1+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+52−1−52-22-2-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000-22−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52000000
χ302222222−1+52−1−52222−1+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+52−1−52-22-2-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2221−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000002-21−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+52000000
χ312222222−1+52−1−52222−1+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+52−1−52-2-2-2-2222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222221−521+52-21−521+521−521−521+521+521−521−521+521+5200000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000
χ322222222−1+52−1−52222−1+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+52−1−52-2-2-2-2222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521+52-21−521+521−521−521+521+521−521−521+521+5200000000221−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000
χ3322222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-2000000002-2000000000000000002-22200002-22-20000-2-2000-2000000200000
χ3422222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-2000000002-200000000000000000-22-2-200002-22-20000220002000000-200000
χ3522222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-200000000-22000000000000000002-2220000-22-22000022000-2000000-200000
χ3622222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-200000000-2200000000000000000-22-2-20000-22-220000-2-20002000000200000
χ372222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-122-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022-122-1-1-1-1-1-1-1-12222-1-1220000000000002-1-1-1-1-10000000-100
χ382222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-122-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022-122-1-1-1-1-1-1-1-1-2-2-2-211-2-2000000000000-2111110000000100
χ392222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-2-1-1-211-2-2-2-2-1-1-1-1111111110000221-2-2-1-1-1-111112222-1-1-2-2000000000000-2-1-1-1110000000100
χ402222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-2-1-1-211-2-2-2-2-1-1-1-1111111110000221-2-2-1-1-1-11111-2-2-2-211220000000000002111-1-10000000-100
χ412222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2211-211-2-2-2-2-1-1-1-1111111110000-2-2-1221111-1-1-1-122-2-21122000000000000-2-1-11-1-10000000100
χ422222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2211-211-2-2-2-2-1-1-1-1111111110000-2-2-1221111-1-1-1-1-2-222-1-1-2-2000000000000211-1110000000-100
χ432222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-2112-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-21-2-21111111122-2-211-2-20000000000002-1-11110000000-100
χ442222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-2112-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-21-2-211111111-2-222-1-122000000000000-211-1-1-10000000100
χ452-2-222-2222-22-22-2-22-2-2-2222-2-222-2-2-2-2220000000000022-2-200000000002-200000000000002-20000000000002-22-20002-2000000002-2000
χ462-2-222-2222-22-22-2-22-2-2-2222-2-222-2-2-2-2220000000000022-2-200000000002-20000000000000-220000000000002-22-2000-2200000000-22000
χ472-2-222-2222-22-22-2-22-2-2-2222-2-222-2-2-2-2220000000000022-2-20000000000-2200000000000002-2000000000000-22-220002-200000000-22000
χ482-2-222-2222-22-22-2-22-2-2-2222-2-222-2-2-2-2220000000000022-2-20000000000-220000000000000-22000000000000-22-22000-22000000002-2000
χ4944444-4-4−1−5−1+5444−1−5−1−5−1−5−1+5−1+5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+5000000000001+51−51+51−5000000004-40000000000000000000000000−1−51+5−1+51−50000000000000000000000
χ5044444-4-4−1−5−1+5444−1−5−1−5−1−5−1+5−1+5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+5000000000001+51−51+51−500000000-4400000000000000000000000001+5−1−51−5−1+50000000000000000000000
χ5144444-4-4−1+5−1−5444−1+5−1+5−1+5−1−5−1−5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−5000000000001−51+51−51+5000000004-40000000000000000000000000−1+51−5−1−51+50000000000000000000000
χ5244444-4-4−1+5−1−5444−1+5−1+5−1+5−1−5−1−5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−5000000000001−51+51−51+500000000-4400000000000000000000000001−5−1+51+5−1−50000000000000000000000
χ534444-244−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−5244-2-24-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−520000−1−5−1+5-2−1−5−1+51+521+521−521−521+521+521−521−52000000000000000000000000000000000000
χ544444-244−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−524-4-2-2-4221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−1−5−1+521+51−51+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ554444-244−1−5−1+5-2-2-2−1−5−1−5−1−5−1+5−1+5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−52-4422-4221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+51−5-2−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000000000000
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χ1058-88-8-400−2+25−2−2544-42−252−25−2+252+252+25−2−25001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000000−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ10300000000000000000000000000000000000000000000000000000
χ1068-88-8-400−2+25−2−2544-42−252−25−2+252+252+25−2−25001−51+50000−1+51−5−1−51+5−1+5−1−5000000000000000ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119−ζ29−ζ31−ζ61+ζ71+ζ79+ζ101+ζ109−ζ119ζ29+ζ31+ζ61−ζ71−ζ79−ζ101−ζ109+ζ119ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ103−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103−ζ7+ζ13−ζ23−ζ37+ζ47−ζ53+ζ77+ζ103ζ7−ζ13+ζ23+ζ37−ζ47+ζ53−ζ77−ζ10300000000000000000000000000000000000000000000000000000
χ1078-8-88-4-88−2−25−2+254-44−2−252+252+25−2+252−252−254-41+51−52+252−25−2−25−2+25−1−5−1−5−1+5−1+51+51−5000000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-88−2+25−2−254-44−2+252−252−25−2−252+252+254-41−51+52−252+25−2+25−2−25−1+5−1+5−1−5−1−51−51+5000000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000

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