Finite Group Databasebeta

← Group #14302811

Character table — Group #14302811

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222222222222222244444444444444444444444444444444448888888888888888888888888888888888888812121212202020202424242424242424242424242424242424244040404040404040404060606060120120
order12222344445566610101010101066101010101212121215152020202020202020303030303030303030303030303044121212122020202020202020606060606060606060606060606060606060606060606060888888884420202020202020204040404040404040441212121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ911-1-11111-1-1111-1-111-1-1-1-11-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−iiiii−i−i−i−iiiii−i−i−i−ii−iii−i−iii−i−i11-1-11-1
χ1011-1-11111-1-1111-1-111-1-1-1-11-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiii−iiiii−i−i−i−iiiii−i−i−i−i−ii−i−iii−i−iii-1-111-11
χ1111-1-11111-1-1111-1-111-1-1-1-11-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−ii−i−i−i−iiiii−i−i−i−iiiiii−iii−i−iii−i−i-1-111-11
χ1211-1-11111-1-1111-1-111-1-1-1-11-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−i−i−i−iiiii−i−i−i−iiiii−ii−i−iii−i−iii11-1-11-1
χ1311-1-11111-1-1111-1-111-1-1-1-11-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−ii−i−i−i−iiiiiiiii−i−i−i−i−ii−i−iiiii−i−i11-1-1-11
χ1411-1-11111-1-1111-1-111-1-1-1-11-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−ii−i−i−i−iiiiiiiii−i−i−i−ii−iii−i−i−i−iii-1-1111-1
χ1511-1-11111-1-1111-1-111-1-1-1-11-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−ii−iiiii−i−i−i−i−i−i−i−iiiii−ii−i−iiiii−i−i-1-1111-1
χ1611-1-11111-1-1111-1-111-1-1-1-11-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iiii−iiiii−i−i−i−i−i−i−i−iiiiii−iii−i−i−i−iii11-1-1-11
χ172222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+522222−1−52−1+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+52222222−1−52−1−52−1+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+522222000022−1−52−1−52−1+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
χ182222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+522222−1−52−1+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+52222222−1−52−1−52−1+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+52-2-2-2-20000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ192222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+522222−1−52−1+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+52-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222220000-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ202222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+522222−1−52−1+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+52-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-2000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ212222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−522222−1+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+52−1−52222222−1+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+52−1−52−1−52−1−52−1−522222000022−1+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
χ222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−522222−1+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+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-20000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ232222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−522222−1+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+52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+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+5222220000-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ242222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−522222−1+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+52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+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+52-2-2-2-2000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ25222222-2-2-2-222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222222222222200000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002-22-200
χ26222222-2-2-2-222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222222222222200000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-22-2200
χ2722222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000000000022-1-1-1-1-1-1-1-1000000
χ2822222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000000000-2-211111111000000
χ2922222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100002222000000000000000000-2-21111-1-1-1-1000000
χ3022222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000-2-2-2-200000000000000000022-1-1-1-11111000000
χ31222-2-222-22-2222-2-2222222-22-2-2-2-22-22-2222-22-222-2-2-2-2-2-222-2-222-2-222000000000000002-22-22-22-2000000000000000000002i−2i2i−2i0000000000000000000000002i−2i2i−2i000000
χ32222-2-222-22-2222-2-2222222-22-2-2-2-22-22-2222-22-222-2-2-2-2-2-222-2-222-2-222000000000000002-22-22-22-200000000000000000000−2i2i−2i2i000000000000000000000000−2i2i−2i2i000000
χ33222-2-22-22-22222-2-2222222-22-2-2-2-2-22-2222-22-22-2-222-2-2-2-222-2-222-2-22200000000000000-22-22-22-2200000000000000002-22-2000000000000002-22-22-22-20000000000000000
χ34222-2-22-22-22222-2-2222222-22-2-2-2-2-22-2222-22-22-2-222-2-2-2-222-2-222-2-22200000000000000-22-22-22-220000000000000000-22-2200000000000000-22-22-22-220000000000000000
χ35222-2-22-22-22−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+52-221+521−521+521−52-22-22−1−52−1+521+52−1−521−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ581+52−1−521−52−1+521+52−1−521−52−1+52−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ582-22-2000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−1−521+52−1+521−52−1−521+52−1+521−520000000000000000
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χ1318-8000-40000−2−25−2+2544i3−4i32+252−254ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ5800000000001+51−5000000002ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8000-40000−2+25−2−254−4i34i32−252+254ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ4600000000001−51+500000000−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8000-40000−2+25−2−254−4i34i32−252+25−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ4600000000001−51+5000000002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8000-40000−2+25−2−2544i3−4i32−252+254ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ4600000000001−51+5000000002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8000-40000−2+25−2−2544i3−4i32−252+25−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ4600000000001−51+500000000−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000

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