Finite Group Databasebeta

← Group #14313146

Character table — Group #14313146

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222224444444444444444444444444444448888888888888888888888888888888888888888882020202020202020202020202020202040404040120120120120120120120120
order124423466612121212245661010101212151520202020303030303030606060606060606044101012121212202020202020202020203030303060606060606060606060606060606060606060602222444466661212121266121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ511111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1ii−i−i−i−iii
χ611111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1−i−iiiii−i−i
χ711111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ811111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ911-1-111-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-11-11111-1-1-1-11-11-1i−ii−ii−ii−i
χ1011-1-111-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-11-11111-1-1-1-11-11-1−ii−ii−ii−ii
χ1111-1-111-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-11111-11-111-1-111-1-11
χ1211-1-111-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-11111-11-11-111-1-111-1
χ1311-1-111-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-111111-1-1-1-1-11-111-1-11-111-1
χ1411-1-111-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-111111-1-1-1-1-11-11-111-11-1-11
χ1511-1-111-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1111-1-1-1-1-111111-11-1i−ii−i−ii−ii
χ1611-1-111-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1111-1-1-1-1-111111-11-1−ii−iii−ii−i
χ1722222222222222-2-22-2-2222-2-22222222222222222222200-2-20000-2-200000000-2-2-2-2-2-2-2-20000000000000000002-200-22000000002-2-2200000000
χ1822222222222222-2-22-2-2222-2-22222222222222222222200-2-20000-2-200000000-2-2-2-2-2-2-2-2000000000000000000-22002-200000000-222-200000000
χ1922222-12-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ2022222-12-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111100000000
χ2122222-12-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222111122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-1-1-1-1-1111100000000
χ2222222-12-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222111122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-22211111111-1-1-1-100000000
χ2322222-12-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2−i3i3−i3i3-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3002-200-22−i3−i3i3i3−i3−i3i3i3-111-100000000
χ2422222-12-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2−i3i3−i3i3-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i300-22002-2i3i3−i3−i3i3i3−i3−i31-1-1100000000
χ2522222-12-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2i3−i3i3−i3-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3002-200-22i3i3−i3−i3i3i3−i3−i3-111-100000000
χ2622222-12-1-1-1-1-1-1-1-2-221122211-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2i3−i3i3−i3-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i300-22002-2−i3−i3i3i3−i3−i3i3i31-1-1100000000
χ2722-2-222-2222-2-2-2-2-222-2-22222222-2-2-2-2222222-2-2-2-2-2-2-2-200-2-200002200000000-2-2-2-222220000000000000000002200-2-20000000022-2-200000000
χ2822-2-222-2222-2-2-2-2-222-2-22222222-2-2-2-2222222-2-2-2-2-2-2-2-200-2-200002200000000-2-2-2-22222000000000000000000-2-2002200000000-2-22200000000
χ2922-2-22-1-2-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-1111111112-222-1-111-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111222-2-2-22-2-1-1-1-11111-11-1100000000
χ3022-2-22-1-2-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-1111111112-222-1-111-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2-2222-221111-1-1-1-11-11-100000000
χ3122-2-22-1-2-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-111111111-222211-1-1-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-22-2-2-22-1-1-1-111111-11-100000000
χ3222-2-22-1-2-1-1-111112-22-1-122211-1-1-2-2-2-2-1-1-1-1-1-111111111-222211-1-1-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-22-2222-21111-1-1-1-1-11-1100000000
χ3322-2-22-1-2-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100-2-2−i3i3i3−i322000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3002200-2-2−i3−i3i3i3i3i3−i3−i3-1-11100000000
χ3422-2-22-1-2-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100-2-2−i3i3i3−i322000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i300-2-20022i3i3−i3−i3−i3−i3i3i311-1-100000000
χ3522-2-22-1-2-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100-2-2i3−i3−i3i322000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3002200-2-2i3i3−i3−i3−i3−i3i3i3-1-11100000000
χ3622-2-22-1-2-1-1-11111-22211222-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100-2-2i3−i3−i3i322000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i300-2-20022−i3−i3i3i3i3i3−i3−i311-1-100000000
χ374444444444444444-144-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-144-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ384444444444444444-144-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-1-1-4-4-4-4-1-111111111-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000
χ3944444444444444-4-4-1-4-4-1-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10011000011−5−555−5−55511111111−5−555−5−555−5−555−5−5550000000000000000000000000000
χ4044444444444444-4-4-1-4-4-1-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1001100001155−5−555−5−51111111155−5−555−5−555−5−555−5−50000000000000000000000000000
χ4144444-24-2-2-2-2-2-2-244-1-2-2-1-1-1-2-21−i1521+i152-1-1-1-11−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i15244-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1520000000000000000000000000000
χ4244444-24-2-2-2-2-2-2-244-1-2-2-1-1-1-2-21−i1521+i152-1-1-1-11−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i152-4-4-1-12222-1-1111111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i1520000000000000000000000000000
χ4344444-24-2-2-2-2-2-2-244-1-2-2-1-1-1-2-21+i1521−i152-1-1-1-11+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i15244-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1520000000000000000000000000000
χ4444444-24-2-2-2-2-2-2-244-1-2-2-1-1-1-2-21+i1521−i152-1-1-1-11+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i152-4-4-1-12222-1-1111111111+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i1520000000000000000000000000000
χ4544444-24-2-2-2-2-2-2-2-4-4-122-1-1-1221−i1521+i152-1-1-1-11−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1520011−2i32i3−2i32i31155−5−555−5−5−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ580000000000000000000000000000
χ4644444-24-2-2-2-2-2-2-2-4-4-122-1-1-1221−i1521+i152-1-1-1-11−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i15200112i3−2i32i3−2i311−5−555−5−555−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ580000000000000000000000000000
χ4744444-24-2-2-2-2-2-2-2-4-4-122-1-1-1221+i1521−i152-1-1-1-11+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1520011−2i32i3−2i32i311−5−555−5−555−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ460000000000000000000000000000
χ4844444-24-2-2-2-2-2-2-2-4-4-122-1-1-1221+i1521−i152-1-1-1-11+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i15200112i3−2i32i3−2i31155−5−555−5−5−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ460000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.