Finite Group Databasebeta

← Group #14453161

Character table — Group #14453161

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222224444444444444488888888888888888888888121216161616161616161616161616202020202020242424242424242424242440404040404040484848486060606080120120
order122234455666101010101010121215152020202030303030303044812122424404040406060606012012012012012012012012024122020202060606060606060604488121244810102020404040404412121224242020202044881222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ5111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-111-11-11111-1-1-1-1-11111-1-111-1-111-1-1-11-1
χ6111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-111-1-1-11-11111-1-1-1-11-1-1-1-11111-1-1-1-1111-11
χ7111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-11-1-1-1-11111-11111-1-1-1-111-1-111-1-11
χ8111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-11-1-1-1-111111-1-1-1-111-1-11111-1-111-1
χ911111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-1-1111-1-11111-1-1-1-11-11-1-1-1-1-1-11111-1-11-11
χ1011111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-11-11111-1-111-1-111-11-1
χ1111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-111-111-1-1-1-111111-11-1-1-1-111-1-1-1-11111-1
χ1211111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-11111-11-1111111-1-111-1-1-1-11
χ1311111111111111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111-1-11-1-111-1-1-1-11111-1-1-1
χ1411111111111111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-1-1-1-1-1-1-1-1-1111
χ1511111111111111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-111
χ1611111111111111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1111111111-1-1
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+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+520000000
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+52-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-2-21+521−521+521−521+521+521−521−5200000001+521−521+521−520000000
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+522-2-222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000-22-2−1−52−1+52−1−52−1+521+521+521−521−520000000−1−52−1+521+521−520000000
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+522-2-222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000002-221+521−521+521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+520000000
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+521−521−521−521−52222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000002-2-2−1−52−1+52−1−52−1+521+521+521−521−5200000001+521−52−1−52−1+520000000
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+521−521−521−521−52-2-22−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-2221+521−521+521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−520000000
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+52-2-22-2-222−1−52−1−52−1+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+5222-21+521−521+521−521+521+521−521−521+521+521−521−52000000-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−520000000
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+52-2-22-2-222−1−52−1−52−1+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+52-2-2-21+521−521+521−521+521+521−521−521+521+521−521−5200000022-21+521−521+521−521+521+521−521−520000000−1−52−1+52−1−52−1+520000000
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+52−1−52−1−52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−520000000
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+52−1−52−1−52−1−52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-2-21−521+521−521+521−521−521+521+5200000001−521+521−521+520000000
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+52−1−522-2-222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000-22-2−1+52−1−52−1+52−1−521−521−521+521+520000000−1+52−1−521−521+520000000
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+52−1−522-2-222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000002-221−521+521−521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−520000000
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+52222−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000002-2-2−1+52−1−52−1+52−1−521−521−521+521+5200000001−521+52−1+52−1−520000000
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+52-2-22−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000-2221−521+521−521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+520000000
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+52−1−52-2-22-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-21−521+521−521+521−521−521+521+521−521−521+521+52000000-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+520000000
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+52−1−52-2-22-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521+521−521+521−521−521+521+521−521−521+521+5200000022-21−521+521−521+521−521−521+521+520000000−1+52−1−52−1+52−1−520000000
χ3322222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-2000000002-200000000000002-2002200022-2-2000000-200000000-2200000
χ3422222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-2000000002-20000000000000-2200-2-200022-2-20000002000000002-200000
χ3522222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-200000000-2200000000000002-20022000-2-222000000-2000000002-200000
χ3622222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-200000000-220000000000000-2200-2-2000-2-222000000200000000-2200000
χ372222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-12222-1-1-1-1-1-1-1-12222-1-10000000000022-1-1-1-1-100000000-100
χ382222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-12222-1-1-1-1-1-1-1-1-2-2-2-21100000000000-2-21111100000000100
χ392222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-2-2-1-111-2-2-2-2-1-1-1-111111111001-2-2221111-1-1-1-122-2-2-1-100000000000-22-1-1-11100000000100
χ402222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-2-2-1-111-2-2-2-2-1-1-1-111111111001-2-2221111-1-1-1-1-2-22211000000000002-2111-1-100000000-100
χ412222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-22-21111-2-2-2-2-1-1-1-11111111100-122-2-2-1-1-1-1111122-2-2-1-1000000000002-2-1111100000000-100
χ422222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-22-21111-2-2-2-2-1-1-1-11111111100-122-2-2-1-1-1-11111-2-2221100000000000-221-1-1-1-100000000100
χ432222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-2211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1001-2-2-2-2111111112222-1-100000000000-2-2-111-1-100000000100
χ442222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-2211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1001-2-2-2-211111111-2-2-2-21100000000000221-1-11100000000-100
χ4544444-4-4−1−5−1+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+51−5000000004-40000000000000000000000−1−5−1+51+51−50000000000000000000000
χ4644444-4-4−1−5−1+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+51−500000000-4400000000000000000000001+51−5−1−5−1+50000000000000000000000
χ4744444-4-4−1+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+5000000004-40000000000000000000000−1+5−1−51−51+50000000000000000000000
χ4844444-4-4−1+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+500000000-4400000000000000000000001−51+5−1+5−1−50000000000000000000000
χ494444-244−1−5−1+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+521−52444-2-2-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−5200-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−5200000000000000000000000000000000000
χ504444-244−1−5−1+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+521−524-4-4-2-2221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520021+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000000
χ514444-244−1−5−1+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+521−52-44-422221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2−1−5−1+51+51−51+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000000
χ524444-244−1−5−1+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+521−52-4-4422-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−520021+51−51+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000
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+52444-2-2-2-2−1+5−1+5−1−5−1−51−521+521−521+521−521−521−521−521+521+521+521+5200-2−1+5−1−5−1+5−1−51−521−521+521+521−521−521+521+5200000000000000000000000000000000000
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χ1038-8-88-400−2−25−2+254-442+252−25−2−25−2+252+252−25001+51−500001+51−5−1−5−1+5−1−5−1+5000000000000000ζ7+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−ζ103−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+ζ11900000000000000000000000000000000000000000000000000
χ1048-8-88-400−2+25−2−254-442−252+25−2+25−2−252−252+25001−51+500001−51+5−1+5−1−5−1+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+ζ10300000000000000000000000000000000000000000000000000
χ1058-8-88-400−2+25−2−254-442−252+25−2+25−2−252−252+25001−51+500001−51+5−1+5−1−5−1+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−ζ10300000000000000000000000000000000000000000000000000

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