Finite Group Databasebeta

← Group #64490

Character table — Group #64490

Order 300.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size122222224444444444444445101010101010107575
order13551515151555555151515151515151515152610103030303044
χ1111111111111111111111111111111111
χ21111111111111111111111111111111-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1i−i
χ411111111111111111111111-1-1-1-1-1-1-1-1−ii
χ522−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5200
χ622−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521+521−521−5200
χ722−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5200
χ822−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521−521+521+5200
χ92-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-12-122-1-1-1-100
χ102-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-21-2-2111100
χ112-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ582−1−52−1−52−1+52−1+52-1-1−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ582-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ5800
χ122-1−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ582−1−52−1−52−1+52−1+52-1-1−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58-211+521−52ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ5800
χ132-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ382−1−52−1−52−1+52−1+52-1-1−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ382-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ3800
χ142-1−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ382−1−52−1−52−1+52−1+52-1-1−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38-211+521−52ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ3800
χ152-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ342−1+52−1+52−1−52−1−52-1-1−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ342-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ3400
χ162-1−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ342−1+52−1+52−1−52−1−52-1-1−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34-211−521+52ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ3400
χ172-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ462−1+52−1+52−1−52−1−52-1-1−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ462-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ4600
χ182-1−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ462−1+52−1+52−1−52−1−52-1-1−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46-211−521+52ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ4600
χ1944444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ2044−1−5−1+5−1−5−1−5−1+5−1+5-1ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46-1-1ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ460000000000
χ2144−1−5−1+5−1−5−1−5−1+5−1+5-1−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ58-1-1−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ580000000000
χ2244−1+5−1−5−1+5−1+5−1−5−1−5-1ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58-1-1ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ580000000000
χ2344−1+5−1−5−1+5−1+5−1−5−1−5-1−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58-1-1−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ580000000000
χ244-244-2-2-2-2-1-1-1-1-11−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1520000000000
χ254-244-2-2-2-2-1-1-1-1-11+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1520000000000
χ264-2−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58-1ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ461−i1521+i152ζ14−ζ22+ζ26+ζ38−ζ46−ζ14+ζ22+ζ34−ζ38+ζ46−ζ2−ζ26+ζ34+ζ46+ζ58ζ2+ζ14+ζ26−ζ34−ζ58−ζ2−ζ14+ζ22+ζ46+ζ58ζ2+ζ14+ζ38−ζ46−ζ58ζ2−ζ22+ζ26−ζ34+ζ38ζ22−ζ26+ζ34−ζ38+ζ580000000000
χ274-2−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58-1−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ581+i1521−i152−ζ14+ζ22+ζ34−ζ38+ζ46ζ14−ζ22+ζ26+ζ38−ζ46ζ2+ζ14+ζ26−ζ34−ζ58−ζ2−ζ26+ζ34+ζ46+ζ58ζ2+ζ14+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22+ζ46+ζ58ζ22−ζ26+ζ34−ζ38+ζ58ζ2−ζ22+ζ26−ζ34+ζ380000000000
χ284-2−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38-1ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ461+i1521−i152−ζ2−ζ26+ζ34+ζ46+ζ58ζ2+ζ14+ζ26−ζ34−ζ58ζ14−ζ22+ζ26+ζ38−ζ46−ζ14+ζ22+ζ34−ζ38+ζ46ζ2−ζ22+ζ26−ζ34+ζ38ζ22−ζ26+ζ34−ζ38+ζ58−ζ2−ζ14+ζ22+ζ46+ζ58ζ2+ζ14+ζ38−ζ46−ζ580000000000
χ294-2−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38-1−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ581−i1521+i152ζ2+ζ14+ζ26−ζ34−ζ58−ζ2−ζ26+ζ34+ζ46+ζ58−ζ14+ζ22+ζ34−ζ38+ζ46ζ14−ζ22+ζ26+ζ38−ζ46ζ22−ζ26+ζ34−ζ38+ζ58ζ2−ζ22+ζ26−ζ34+ζ38ζ2+ζ14+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22+ζ46+ζ580000000000
χ304-2−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34-1ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ581−i1521+i152−ζ2−ζ14+ζ22+ζ46+ζ58ζ2+ζ14+ζ38−ζ46−ζ58ζ2−ζ22+ζ26−ζ34+ζ38ζ22−ζ26+ζ34−ζ38+ζ58ζ2+ζ14+ζ26−ζ34−ζ58−ζ2−ζ26+ζ34+ζ46+ζ58−ζ14+ζ22+ζ34−ζ38+ζ46ζ14−ζ22+ζ26+ζ38−ζ460000000000
χ314-2−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34-1−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ581+i1521−i152ζ2+ζ14+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22+ζ46+ζ58ζ22−ζ26+ζ34−ζ38+ζ58ζ2−ζ22+ζ26−ζ34+ζ38−ζ2−ζ26+ζ34+ζ46+ζ58ζ2+ζ14+ζ26−ζ34−ζ58ζ14−ζ22+ζ26+ζ38−ζ46−ζ14+ζ22+ζ34−ζ38+ζ460000000000
χ324-2−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46-1ζ14−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46−ζ2−ζ22−ζ26+ζ38−ζ46+ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ581+i1521−i152ζ2−ζ22+ζ26−ζ34+ζ38ζ22−ζ26+ζ34−ζ38+ζ58−ζ2−ζ14+ζ22+ζ46+ζ58ζ2+ζ14+ζ38−ζ46−ζ58−ζ14+ζ22+ζ34−ζ38+ζ46ζ14−ζ22+ζ26+ζ38−ζ46ζ2+ζ14+ζ26−ζ34−ζ58−ζ2−ζ26+ζ34+ζ46+ζ580000000000
χ334-2−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46-1−ζ2−ζ14−ζ22+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22−ζ34−ζ38−ζ58−ζ2−ζ22−ζ26+ζ38−ζ46+ζ581−i1521+i152ζ22−ζ26+ζ34−ζ38+ζ58ζ2−ζ22+ζ26−ζ34+ζ38ζ2+ζ14+ζ38−ζ46−ζ58−ζ2−ζ14+ζ22+ζ46+ζ58ζ14−ζ22+ζ26+ζ38−ζ46−ζ14+ζ22+ζ34−ζ38+ζ46−ζ2−ζ26+ζ34+ζ46+ζ58ζ2+ζ14+ζ26−ζ34−ζ580000000000

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