Finite Group Databasebeta

← Group #14457791

Character table — Group #14457791

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222222222444444444444444888888888888888888888881212121216161616161616161616161616202020202424242424242424242440404040404048484848606060608080120120
order1223445561010101010106121215152020202030303030303024466121220202020606060606060606060606060888810101220203030303060606060224422404040404040404066881212101010102244242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-11111-1-11-11-1-1-11-1
χ61111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-111-1-1-11-1111-11
χ71111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11111-1-1-1-11111-11-1-1-1-1111111-1-111-1-111-11-11-1-1-11
χ81111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111-11-1111-1
χ9111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111111-11-1-111111-1-1-1-11-11-11-1-1-11111111-1-1-1
χ10111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-11111-11-11-111111-1-1-1-1-11-11-11-1-111-1-1-1-1-1111
χ11111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-1-111111-11-11-1-1-1-1-111111-11-11-111-1-1-1-1-1-11-111
χ12111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-1-11111-11-111-1-1-1-1-11111-11-11-1111-1-11111-11-1-1
χ13111111111111111111111111111111-1-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111111-1-111-1-1-1-1-11-11-1-11-11
χ14111111111111111111111111111111-1-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111111-111-1-11-1-1-1-1-11-111-11-1
χ15111111111111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-11-1-111-11111-11-11-111-1
χ16111111111111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-111-1-1111111-11-11-1-11
χ17222222−1−52−1+522−1−52−1−52−1+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+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+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+5200000000
χ18222222−1−52−1+522−1−52−1−52−1+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+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+520000-2-21+521+521−521−521+521+521−521−520000001+521−521+521−5200000000
χ19222222−1−52−1+522−1−52−1−52−1+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+522-2-222-2-21+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5222-2-2−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−5200000000
χ20222222−1−52−1+522−1−52−1−52−1+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+522-2-222-2-21+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-222−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000-221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+5200000000
χ21222222−1−52−1+522−1−52−1−52−1+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+52-22-2-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5222-2-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000-22−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52−1−52−1+5200000000
χ22222222−1−52−1+522−1−52−1−52−1+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+52-22-2-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-2221+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200002-21+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+521+521−5200000000
χ23222222−1−52−1+522−1−52−1−52−1+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+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+5222221+521−52-21+521−521+521+521−521−521+521+521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−5200000000
χ24222222−1−52−1+522−1−52−1−52−1+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+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+52-2-2-2-21+521−52-21+521−521+521+521−521−521+521+521−521−520000221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+5200000000
χ25222222−1+52−1−522−1+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+52−1−522222222−1+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+52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−5200000000
χ26222222−1+52−1−522−1+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+52−1−522222222−1+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+52−1−52−1−520000-2-21−521−521+521+521−521−521+521+520000001−521+521−521+5200000000
χ27222222−1+52−1−522−1+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+52−1−522-2-222-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5222-2-2−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+5200000000
χ28222222−1+52−1−522−1+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+52−1−522-2-222-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-222−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000-221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−5200000000
χ29222222−1+52−1−522−1+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+52−1−52-22-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5222-2-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-22−1+52−1+52−1−52−1−521−521−521+521+520000001−521+52−1+52−1−5200000000
χ30222222−1+52−1−522−1+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+52−1−52-22-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2221−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200002-21−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−521−521+5200000000
χ31222222−1+52−1−522−1+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+52−1−52-2-22-2-222−1+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+52−1−52−1−5222221−521+52-21−521+521−521−521+521+521−521−521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+5200000000
χ32222222−1+52−1−522−1+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+52−1−52-2-22-2-222−1+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+52−1−52−1−52-2-2-2-21−521+52-21−521+521−521−521+521+521−521−521+521+520000221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−5200000000
χ33222-12222-1222222-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022-122-1-1-1-1-1-1-1-122220000000000-1-122-1-100000000-1-100
χ34222-12222-1222222-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022-122-1-1-1-1-1-1-1-1-2-2-2-2000000000011-2-211000000001100
χ35222-12222-1222222-1-1-1-1-12222-1-1-1-1-1-12-2-2-1-111-2-2-2-211111111-1-1-1-10000221-2-2-1-1-1-1111122220000000000-1-1-2-2-1-1000000001100
χ36222-12222-1222222-1-1-1-1-12222-1-1-1-1-1-12-2-2-1-111-2-2-2-211111111-1-1-1-10000221-2-2-1-1-1-11111-2-2-2-2000000000011221100000000-1-100
χ37222-12222-1222222-1-1-1-1-12222-1-1-1-1-1-1-22-21111-2-2-2-211111111-1-1-1-10000-2-2-1221111-1-1-1-12-22-20000000000-112-2-1100000000-1100
χ38222-12222-1222222-1-1-1-1-12222-1-1-1-1-1-1-22-21111-2-2-2-211111111-1-1-1-10000-2-2-1221111-1-1-1-1-22-2200000000001-1-221-1000000001-100
χ39222-12222-1222222-1-1-1-1-12222-1-1-1-1-1-1-2-2211-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-21-2-2111111112-22-20000000000-11-22-11000000001-100
χ40222-12222-1222222-1-1-1-1-12222-1-1-1-1-1-1-2-2211-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-21-2-211111111-22-2200000000001-12-21-100000000-1100
χ4122-222-2222-2-2-2-222-22-2222-22-2-2-2-2-22200000000000000000002-22-2002-20000000000000020-20000002-22-202000-20000020-20000
χ4222-222-2222-2-2-2-222-22-2222-22-2-2-2-2-22200000000000000000002-22-2002-200000000000000-2020000002-22-20-2000200000-2020000
χ4322-222-2222-2-2-2-222-22-2222-22-2-2-2-2-22200000000000000000002-22-200-220000000000000020-2000000-22-2202000-200000-2020000
χ4422-222-2222-2-2-2-222-22-2222-22-2-2-2-2-22200000000000000000002-22-200-2200000000000000-202000000-22-220-200020000020-20000
χ4522-22-22222-2-2-2-222-2-2222-22-22-2-2-2-2220000000000000000000-22-222-200000000000000020-20002-22-200002000-20000020-200000
χ4622-22-22222-2-2-2-222-2-2222-22-22-2-2-2-2220000000000000000000-22-222-2000000000000000-2020002-22-20000-2000200000-20200000
χ4722-22-22222-2-2-2-222-2-2222-22-22-2-2-2-2220000000000000000000-22-22-2200000000000000020-2000-22-2200002000-200000-20200000
χ4822-22-22222-2-2-2-222-2-2222-22-22-2-2-2-2220000000000000000000-22-22-22000000000000000-202000-22-220000-200020000020-200000
χ494444-4-44444444444-4-444-4-4-4-44444440000000000000000000-4-4-4-40000000000000000000000000000000000000000000000000
χ504444-4-4−1−5−1+54−1−5−1−5−1+5−1+5−1−5−1+54-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+50000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+51+51−51−50000000000000000000000000000000000000000000000000
χ514444-4-4−1−5−1+54−1−5−1−5−1+5−1+5−1−5−1+54-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+500000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ581+51+51−51−50000000000000000000000000000000000000000000000000
χ524444-4-4−1+5−1−54−1+5−1+5−1−5−1−5−1+5−1−54-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−500000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51−51+51+50000000000000000000000000000000000000000000000000
χ534444-4-4−1+5−1−54−1+5−1+5−1−5−1−5−1+5−1−54-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−50000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ461−51−51+51+50000000000000000000000000000000000000000000000000
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χ1008-80-400−2+25−2−2544ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ462−252+250001−51+50000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+5−1−500000−232300002ζ23−2ζ43−2ζ23+2ζ43−2ζ7+2ζ472ζ7−2ζ472ζ11−2ζ31−2ζ11+2ζ31−2ζ19+2ζ592ζ19−2ζ5900000000000000000000000000000000000000000000000000000
χ1018-80-400−2+25−2−254−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+250001−51+500002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1−50000023−2300002ζ7−2ζ47−2ζ7+2ζ47−2ζ23+2ζ432ζ23−2ζ432ζ19−2ζ59−2ζ19+2ζ59−2ζ11+2ζ312ζ11−2ζ3100000000000000000000000000000000000000000000000000000
χ1028-80-400−2+25−2−254−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+250001−51+500002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1−500000−23230000−2ζ7+2ζ472ζ7−2ζ472ζ23−2ζ43−2ζ23+2ζ43−2ζ19+2ζ592ζ19−2ζ592ζ11−2ζ31−2ζ11+2ζ3100000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.