Finite Group Databasebeta

← Group #10624225

Character table — Group #10624225

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size122224444444449151518183030122224444444449151518183030122224444444449151518183030122224444444449151518183030
order13355315151515151515152221010664121220201260606060606060604442020121226610106303030303030303022210106641212202012606060606060606044420201212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-111-1-1111111111111111-1-111-1-1111111111111111-1-111-1-1111111111111111-1-111-1-1
χ311111111111111-11-1-1-11-111111111111111-11-1-1-11-111111111111111-11-1-1-11-111111111111111-11-1-1-11-1
χ411111111111111-1-11-1-1-1111111111111111-1-11-1-1-1111111111111111-1-11-1-1-1111111111111111-1-11-1-1-11
χ5222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52200−1+52−1−5200222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52200−1+52−1−5200222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52200−1+52−1−5200222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52200−1+52−1−5200
χ6222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2001−521+5200222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2001−521+5200222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2001−521+5200222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2001−521+5200
χ7222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52200−1−52−1+5200222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52200−1−52−1+5200222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52200−1−52−1+5200222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52200−1−52−1+5200
χ8222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2001+521−5200222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2001+521−5200222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2001+521−5200222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2001+521−5200
χ922-122-12-1-1-12-1-1-1002000-122-122-12-1-1-12-1-1-1002000-122-122-12-1-1-12-1-1-1002000-122-122-12-1-1-12-1-1-1002000-1
χ1022-122-12-1-1-12-1-1-100-2000122-122-12-1-1-12-1-1-100-2000122-122-12-1-1-12-1-1-100-2000122-122-12-1-1-12-1-1-100-20001
χ112-1222-1-12-1-1-12-1-102000-102-1222-1-12-1-1-12-1-102000-102-1222-1-12-1-1-12-1-102000-102-1222-1-12-1-1-12-1-102000-10
χ122-1222-1-12-1-1-12-1-10-2000102-1222-1-12-1-1-12-1-10-2000102-1222-1-12-1-1-12-1-10-2000102-1222-1-12-1-1-12-1-10-200010
χ1344-2−1+5−1−5-2−1+51−521−521−52−1−51+521+521+52000000044-2−1+5−1−5-2−1+51−521−521−52−1−51+521+521+52000000044-2−1+5−1−5-2−1+51−521−521−52−1−51+521+521+52000000044-2−1+5−1−5-2−1+51−521−521−52−1−51+521+521+520000000
χ1444-2−1−5−1+5-2−1−51+521+521+52−1+51−521−521−52000000044-2−1−5−1+5-2−1−51+521+521+52−1+51−521−521−52000000044-2−1−5−1+5-2−1−51+521+521+52−1+51−521−521−52000000044-2−1−5−1+5-2−1−51+521+521+52−1+51−521−521−520000000
χ154-24−1+5−1−5-21−52−1+51−521−521+52−1−51+521+5200000004-24−1+5−1−5-21−52−1+51−521−521+52−1−51+521+5200000004-24−1+5−1−5-21−52−1+51−521−521+52−1−51+521+5200000004-24−1+5−1−5-21−52−1+51−521−521+52−1−51+521+520000000
χ164-24−1−5−1+5-21+52−1−51+521+521−52−1+51−521−5200000004-24−1−5−1+5-21+52−1−51+521+521−52−1+51−521−5200000004-24−1−5−1+5-21+52−1−51+521+521−52−1+51−521−5200000004-24−1−5−1+5-21+52−1−51+521+521−52−1+51−521−520000000
χ174-2-2441-2-211-2-21100000004-2-2441-2-211-2-21100000004-2-2441-2-211-2-21100000004-2-2441-2-211-2-2110000000
χ184-2-2−1+5−1−511−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ1800000004-2-2−1+5−1−511−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ1800000004-2-2−1+5−1−511−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ1800000004-2-2−1+5−1−511−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ180000000
χ194-2-2−1+5−1−511−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ1800000004-2-2−1+5−1−511−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ1800000004-2-2−1+5−1−511−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ1800000004-2-2−1+5−1−511−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ180000000
χ204-2-2−1−5−1+511+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ1400000004-2-2−1−5−1+511+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ1400000004-2-2−1−5−1+511+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ1400000004-2-2−1−5−1+511+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ140000000
χ214-2-2−1−5−1+511+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ1400000004-2-2−1−5−1+511+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ1400000004-2-2−1−5−1+511+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ1400000004-2-2−1−5−1+511+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ140000000
χ22111111111111111111111iiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ23111111111111111-1-111-1-1iiiiiiiiiiiiiii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii
χ2411111111111111-11-1-1-11-1iiiiiiiiiiiiii−ii−i−i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−iiii−ii
χ2511111111111111-1-11-1-1-11iiiiiiiiiiiiii−i−ii−i−i−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−iiii−i
χ26222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52200−1+52−1−52002i2i2i−ζ11−ζ19−ζ3−ζ72i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ72i00−ζ11−ζ19−ζ3−ζ700-2-2-21−521+52-21−521−521−521−521+521+521+521+52-2001−521+5200−2i−2i−2iζ11+ζ19ζ3+ζ7−2iζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−2i00ζ11+ζ19ζ3+ζ700
χ27222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2001−521+52002i2i2i−ζ11−ζ19−ζ3−ζ72i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−2i00ζ11+ζ19ζ3+ζ700-2-2-21−521+52-21−521−521−521−521+521+521+521+52200−1+52−1−5200−2i−2i−2iζ11+ζ19ζ3+ζ7−2iζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ72i00−ζ11−ζ19−ζ3−ζ700
χ28222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52200−1−52−1+52002i2i2i−ζ3−ζ7−ζ11−ζ192i−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ192i00−ζ3−ζ7−ζ11−ζ1900-2-2-21+521−52-21+521+521+521+521−521−521−521−52-2001+521−5200−2i−2i−2iζ3+ζ7ζ11+ζ19−2iζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−2i00ζ3+ζ7ζ11+ζ1900
χ29222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2001+521−52002i2i2i−ζ3−ζ7−ζ11−ζ192i−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−2i00ζ3+ζ7ζ11+ζ1900-2-2-21+521−52-21+521+521+521+521−521−521−521−52200−1−52−1+5200−2i−2i−2iζ3+ζ7ζ11+ζ19−2iζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ192i00−ζ3−ζ7−ζ11−ζ1900
χ3022-122-12-1-1-12-1-1-1002000-12i2i−i2i2i−i2i−i−i−i2i−i−i−i002i000−i-2-21-2-21-2111-211100-20001−2i−2ii−2i−2ii−2iiii−2iiii00−2i000i
χ3122-122-12-1-1-12-1-1-100-200012i2i−i2i2i−i2i−i−i−i2i−i−i−i00−2i000i-2-21-2-21-2111-2111002000-1−2i−2ii−2i−2ii−2iiii−2iiii002i000−i
χ322-1222-1-12-1-1-12-1-102000-102i−i2i2i2i−i−i2i−i−i−i2i−i−i02i000−i0-21-2-2-211-2111-2110-200010−2ii−2i−2i−2iii−2iiii−2iii0−2i000i0
χ332-1222-1-12-1-1-12-1-10-2000102i−i2i2i2i−i−i2i−i−i−i2i−i−i0−2i000i0-21-2-2-211-2111-21102000-10−2ii−2i−2i−2iii−2iiii−2iii02i000−i0
χ3444-2−1+5−1−5-2−1+51−521−521−52−1−51+521+521+5200000004i4i−2i−2ζ11−2ζ19−2ζ3−2ζ7−2i−2ζ11−2ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−2ζ3−2ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ70000000-4-421−51+521−5−1+52−1+52−1+521+5−1−52−1−52−1−520000000−4i−4i2i2ζ11+2ζ192ζ3+2ζ72i2ζ11+2ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ192ζ3+2ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ70000000
χ3544-2−1−5−1+5-2−1−51+521+521+52−1+51−521−521−5200000004i4i−2i−2ζ3−2ζ7−2ζ11−2ζ19−2i−2ζ3−2ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−2ζ11−2ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ190000000-4-421+51−521+5−1−52−1−52−1−521−5−1+52−1+52−1+520000000−4i−4i2i2ζ3+2ζ72ζ11+2ζ192i2ζ3+2ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ72ζ11+2ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ190000000
χ364-24−1+5−1−5-21−52−1+51−521−521+52−1−51+521+5200000004i−2i4i−2ζ11−2ζ19−2ζ3−2ζ7−2iζ11+ζ19−2ζ11−2ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7−2ζ3−2ζ7ζ3+ζ7ζ3+ζ70000000-42-41−51+52−1+521−5−1+52−1+52−1−521+5−1−52−1−520000000−4i2i−4i2ζ11+2ζ192ζ3+2ζ72i−ζ11−ζ192ζ11+2ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ72ζ3+2ζ7−ζ3−ζ7−ζ3−ζ70000000
χ374-24−1−5−1+5-21+52−1−51+521+521−52−1+51−521−5200000004i−2i4i−2ζ3−2ζ7−2ζ11−2ζ19−2iζ3+ζ7−2ζ3−2ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19−2ζ11−2ζ19ζ11+ζ19ζ11+ζ190000000-42-41+51−52−1−521+5−1−52−1−52−1+521−5−1+52−1+520000000−4i2i−4i2ζ3+2ζ72ζ11+2ζ192i−ζ3−ζ72ζ3+2ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ192ζ11+2ζ19−ζ11−ζ19−ζ11−ζ190000000
χ384-2-2441-2-211-2-21100000004i−2i−2i4i4ii−2i−2iii−2i−2iii0000000-422-4-4-122-1-122-1-10000000−4i2i2i−4i−4i−i2i2i−i−i2i2i−i−i0000000
χ394-2-2−1+5−1−511−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ1800000004i−2i−2i−2ζ11−2ζ19−2ζ3−2ζ7iζ11+ζ19ζ11+ζ19ζ11−2ζ19−2ζ11+ζ19ζ3+ζ7ζ3+ζ7−2ζ3+ζ7ζ3−2ζ70000000-4221−51+5-1−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ180000000−4i2i2i2ζ11+2ζ192ζ3+2ζ7−i−ζ11−ζ19−ζ11−ζ19−ζ11+2ζ192ζ11−ζ19−ζ3−ζ7−ζ3−ζ72ζ3−ζ7−ζ3+2ζ70000000
χ404-2-2−1+5−1−511−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ1800000004i−2i−2i−2ζ11−2ζ19−2ζ3−2ζ7iζ11+ζ19ζ11+ζ19−2ζ11+ζ19ζ11−2ζ19ζ3+ζ7ζ3+ζ7ζ3−2ζ7−2ζ3+ζ70000000-4221−51+5-1−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ180000000−4i2i2i2ζ11+2ζ192ζ3+2ζ7−i−ζ11−ζ19−ζ11−ζ192ζ11−ζ19−ζ11+2ζ19−ζ3−ζ7−ζ3−ζ7−ζ3+2ζ72ζ3−ζ70000000
χ414-2-2−1−5−1+511+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ1400000004i−2i−2i−2ζ3−2ζ7−2ζ11−2ζ19iζ3+ζ7ζ3+ζ7−2ζ3+ζ7ζ3−2ζ7ζ11+ζ19ζ11+ζ19−2ζ11+ζ19ζ11−2ζ190000000-4221+51−5-1−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ140000000−4i2i2i2ζ3+2ζ72ζ11+2ζ19−i−ζ3−ζ7−ζ3−ζ72ζ3−ζ7−ζ3+2ζ7−ζ11−ζ19−ζ11−ζ192ζ11−ζ19−ζ11+2ζ190000000
χ424-2-2−1−5−1+511+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ1400000004i−2i−2i−2ζ3−2ζ7−2ζ11−2ζ19iζ3+ζ7ζ3+ζ7ζ3−2ζ7−2ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11−2ζ19−2ζ11+ζ190000000-4221+51−5-1−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ140000000−4i2i2i2ζ3+2ζ72ζ11+2ζ19−i−ζ3−ζ7−ζ3−ζ7−ζ3+2ζ72ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11+2ζ192ζ11−ζ190000000
χ43111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ4511111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11
χ4611111111111111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-111111111111111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1
χ47222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52200−1+52−1−5200-2-2-21−521+52-21−521−521−521−521+521+521+521+52-2001−521+5200222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52200−1+52−1−5200-2-2-21−521+52-21−521−521−521−521+521+521+521+52-2001−521+5200
χ48222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2001−521+5200-2-2-21−521+52-21−521−521−521−521+521+521+521+52200−1+52−1−5200222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2001−521+5200-2-2-21−521+52-21−521−521−521−521+521+521+521+52200−1+52−1−5200
χ49222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52200−1−52−1+5200-2-2-21+521−52-21+521+521+521+521−521−521−521−52-2001+521−5200222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52200−1−52−1+5200-2-2-21+521−52-21+521+521+521+521−521−521−521−52-2001+521−5200
χ50222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2001+521−5200-2-2-21+521−52-21+521+521+521+521−521−521−521−52200−1−52−1+5200222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2001+521−5200-2-2-21+521−52-21+521+521+521+521−521−521−521−52200−1−52−1+5200
χ5122-122-12-1-1-12-1-1-1002000-1-2-21-2-21-2111-211100-2000122-122-12-1-1-12-1-1-1002000-1-2-21-2-21-2111-211100-20001
χ5222-122-12-1-1-12-1-1-100-20001-2-21-2-21-2111-2111002000-122-122-12-1-1-12-1-1-100-20001-2-21-2-21-2111-2111002000-1
χ532-1222-1-12-1-1-12-1-102000-10-21-2-2-211-2111-2110-2000102-1222-1-12-1-1-12-1-102000-10-21-2-2-211-2111-2110-200010
χ542-1222-1-12-1-1-12-1-10-200010-21-2-2-211-2111-21102000-102-1222-1-12-1-1-12-1-10-200010-21-2-2-211-2111-21102000-10
χ5544-2−1+5−1−5-2−1+51−521−521−52−1−51+521+521+520000000-4-421−51+521−5−1+52−1+52−1+521+5−1−52−1−52−1−52000000044-2−1+5−1−5-2−1+51−521−521−52−1−51+521+521+520000000-4-421−51+521−5−1+52−1+52−1+521+5−1−52−1−52−1−520000000
χ5644-2−1−5−1+5-2−1−51+521+521+52−1+51−521−521−520000000-4-421+51−521+5−1−52−1−52−1−521−5−1+52−1+52−1+52000000044-2−1−5−1+5-2−1−51+521+521+52−1+51−521−521−520000000-4-421+51−521+5−1−52−1−52−1−521−5−1+52−1+52−1+520000000
χ574-24−1+5−1−5-21−52−1+51−521−521+52−1−51+521+520000000-42-41−51+52−1+521−5−1+52−1+52−1−521+5−1−52−1−5200000004-24−1+5−1−5-21−52−1+51−521−521+52−1−51+521+520000000-42-41−51+52−1+521−5−1+52−1+52−1−521+5−1−52−1−520000000
χ584-24−1−5−1+5-21+52−1−51+521+521−52−1+51−521−520000000-42-41+51−52−1−521+5−1−52−1−52−1+521−5−1+52−1+5200000004-24−1−5−1+5-21+52−1−51+521+521−52−1+51−521−520000000-42-41+51−52−1−521+5−1−52−1−52−1+521−5−1+52−1+520000000
χ594-2-2441-2-211-2-2110000000-422-4-4-122-1-122-1-100000004-2-2441-2-211-2-2110000000-422-4-4-122-1-122-1-10000000
χ604-2-2−1+5−1−511−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ180000000-4221−51+5-1−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ1800000004-2-2−1+5−1−511−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ180000000-4221−51+5-1−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ180000000
χ614-2-2−1+5−1−511−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ180000000-4221−51+5-1−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ1800000004-2-2−1+5−1−511−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ180000000-4221−51+5-1−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ180000000
χ624-2-2−1−5−1+511+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ140000000-4221+51−5-1−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ1400000004-2-2−1−5−1+511+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ140000000-4221+51−5-1−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ140000000
χ634-2-2−1−5−1+511+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ140000000-4221+51−5-1−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ1400000004-2-2−1−5−1+511+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ140000000-4221+51−5-1−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ140000000
χ64111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiii
χ65111111111111111-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111iiiiiiiiiiiiiii−i−iii−i−i
χ6611111111111111-11-1-1-11-1−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−iiii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11iiiiiiiiiiiiii−ii−i−i−ii−i
χ6711111111111111-1-11-1-1-11−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−iiii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1iiiiiiiiiiiiii−i−ii−i−i−ii
χ68222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52200−1+52−1−5200−2i−2i−2iζ11+ζ19ζ3+ζ7−2iζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−2i00ζ11+ζ19ζ3+ζ700-2-2-21−521+52-21−521−521−521−521+521+521+521+52-2001−521+52002i2i2i−ζ11−ζ19−ζ3−ζ72i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ72i00−ζ11−ζ19−ζ3−ζ700
χ69222−1+52−1−522−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2001−521+5200−2i−2i−2iζ11+ζ19ζ3+ζ7−2iζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ72i00−ζ11−ζ19−ζ3−ζ700-2-2-21−521+52-21−521−521−521−521+521+521+521+52200−1+52−1−52002i2i2i−ζ11−ζ19−ζ3−ζ72i−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−2i00ζ11+ζ19ζ3+ζ700
χ70222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52200−1−52−1+5200−2i−2i−2iζ3+ζ7ζ11+ζ19−2iζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−2i00ζ3+ζ7ζ11+ζ1900-2-2-21+521−52-21+521+521+521+521−521−521−521−52-2001+521−52002i2i2i−ζ3−ζ7−ζ11−ζ192i−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ192i00−ζ3−ζ7−ζ11−ζ1900
χ71222−1−52−1+522−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2001+521−5200−2i−2i−2iζ3+ζ7ζ11+ζ19−2iζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ192i00−ζ3−ζ7−ζ11−ζ1900-2-2-21+521−52-21+521+521+521+521−521−521−521−52200−1−52−1+52002i2i2i−ζ3−ζ7−ζ11−ζ192i−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−2i00ζ3+ζ7ζ11+ζ1900
χ7222-122-12-1-1-12-1-1-1002000-1−2i−2ii−2i−2ii−2iiii−2iiii00−2i000i-2-21-2-21-2111-211100-200012i2i−i2i2i−i2i−i−i−i2i−i−i−i002i000−i
χ7322-122-12-1-1-12-1-1-100-20001−2i−2ii−2i−2ii−2iiii−2iiii002i000−i-2-21-2-21-2111-2111002000-12i2i−i2i2i−i2i−i−i−i2i−i−i−i00−2i000i
χ742-1222-1-12-1-1-12-1-102000-10−2ii−2i−2i−2iii−2iiii−2iii0−2i000i0-21-2-2-211-2111-2110-2000102i−i2i2i2i−i−i2i−i−i−i2i−i−i02i000−i0
χ752-1222-1-12-1-1-12-1-10-200010−2ii−2i−2i−2iii−2iiii−2iii02i000−i0-21-2-2-211-2111-21102000-102i−i2i2i2i−i−i2i−i−i−i2i−i−i0−2i000i0
χ7644-2−1+5−1−5-2−1+51−521−521−52−1−51+521+521+520000000−4i−4i2i2ζ11+2ζ192ζ3+2ζ72i2ζ11+2ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ192ζ3+2ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ70000000-4-421−51+521−5−1+52−1+52−1+521+5−1−52−1−52−1−5200000004i4i−2i−2ζ11−2ζ19−2ζ3−2ζ7−2i−2ζ11−2ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−2ζ3−2ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ70000000
χ7744-2−1−5−1+5-2−1−51+521+521+52−1+51−521−521−520000000−4i−4i2i2ζ3+2ζ72ζ11+2ζ192i2ζ3+2ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ72ζ11+2ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ190000000-4-421+51−521+5−1−52−1−52−1−521−5−1+52−1+52−1+5200000004i4i−2i−2ζ3−2ζ7−2ζ11−2ζ19−2i−2ζ3−2ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−2ζ11−2ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ190000000
χ784-24−1+5−1−5-21−52−1+51−521−521+52−1−51+521+520000000−4i2i−4i2ζ11+2ζ192ζ3+2ζ72i−ζ11−ζ192ζ11+2ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ72ζ3+2ζ7−ζ3−ζ7−ζ3−ζ70000000-42-41−51+52−1+521−5−1+52−1+52−1−521+5−1−52−1−5200000004i−2i4i−2ζ11−2ζ19−2ζ3−2ζ7−2iζ11+ζ19−2ζ11−2ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7−2ζ3−2ζ7ζ3+ζ7ζ3+ζ70000000
χ794-24−1−5−1+5-21+52−1−51+521+521−52−1+51−521−520000000−4i2i−4i2ζ3+2ζ72ζ11+2ζ192i−ζ3−ζ72ζ3+2ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ192ζ11+2ζ19−ζ11−ζ19−ζ11−ζ190000000-42-41+51−52−1−521+5−1−52−1−52−1+521−5−1+52−1+5200000004i−2i4i−2ζ3−2ζ7−2ζ11−2ζ19−2iζ3+ζ7−2ζ3−2ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19−2ζ11−2ζ19ζ11+ζ19ζ11+ζ190000000
χ804-2-2441-2-211-2-2110000000−4i2i2i−4i−4i−i2i2i−i−i2i2i−i−i0000000-422-4-4-122-1-122-1-100000004i−2i−2i4i4ii−2i−2iii−2i−2iii0000000
χ814-2-2−1+5−1−511−521−52ζ6−2ζ14−2ζ6+ζ141+521+52ζ2−2ζ18−2ζ2+ζ180000000−4i2i2i2ζ11+2ζ192ζ3+2ζ7−i−ζ11−ζ19−ζ11−ζ19−ζ11+2ζ192ζ11−ζ19−ζ3−ζ7−ζ3−ζ72ζ3−ζ7−ζ3+2ζ70000000-4221−51+5-1−1+52−1+52−ζ6+2ζ142ζ6−ζ14−1−52−1−52−ζ2+2ζ182ζ2−ζ1800000004i−2i−2i−2ζ11−2ζ19−2ζ3−2ζ7iζ11+ζ19ζ11+ζ19ζ11−2ζ19−2ζ11+ζ19ζ3+ζ7ζ3+ζ7−2ζ3+ζ7ζ3−2ζ70000000
χ824-2-2−1+5−1−511−521−52−2ζ6+ζ14ζ6−2ζ141+521+52−2ζ2+ζ18ζ2−2ζ180000000−4i2i2i2ζ11+2ζ192ζ3+2ζ7−i−ζ11−ζ19−ζ11−ζ192ζ11−ζ19−ζ11+2ζ19−ζ3−ζ7−ζ3−ζ7−ζ3+2ζ72ζ3−ζ70000000-4221−51+5-1−1+52−1+522ζ6−ζ14−ζ6+2ζ14−1−52−1−522ζ2−ζ18−ζ2+2ζ1800000004i−2i−2i−2ζ11−2ζ19−2ζ3−2ζ7iζ11+ζ19ζ11+ζ19−2ζ11+ζ19ζ11−2ζ19ζ3+ζ7ζ3+ζ7ζ3−2ζ7−2ζ3+ζ70000000
χ834-2-2−1−5−1+511+521+52ζ2−2ζ18−2ζ2+ζ181−521−52−2ζ6+ζ14ζ6−2ζ140000000−4i2i2i2ζ3+2ζ72ζ11+2ζ19−i−ζ3−ζ7−ζ3−ζ72ζ3−ζ7−ζ3+2ζ7−ζ11−ζ19−ζ11−ζ192ζ11−ζ19−ζ11+2ζ190000000-4221+51−5-1−1−52−1−52−ζ2+2ζ182ζ2−ζ18−1+52−1+522ζ6−ζ14−ζ6+2ζ1400000004i−2i−2i−2ζ3−2ζ7−2ζ11−2ζ19iζ3+ζ7ζ3+ζ7−2ζ3+ζ7ζ3−2ζ7ζ11+ζ19ζ11+ζ19−2ζ11+ζ19ζ11−2ζ190000000
χ844-2-2−1−5−1+511+521+52−2ζ2+ζ18ζ2−2ζ181−521−52ζ6−2ζ14−2ζ6+ζ140000000−4i2i2i2ζ3+2ζ72ζ11+2ζ19−i−ζ3−ζ7−ζ3−ζ7−ζ3+2ζ72ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11+2ζ192ζ11−ζ190000000-4221+51−5-1−1−52−1−522ζ2−ζ18−ζ2+2ζ18−1+52−1+52−ζ6+2ζ142ζ6−ζ1400000004i−2i−2i−2ζ3−2ζ7−2ζ11−2ζ19iζ3+ζ7ζ3+ζ7ζ3−2ζ7−2ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11−2ζ19−2ζ11+ζ190000000

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