Finite Group Databasebeta

← Group #13047464

Character table — Group #13047464

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11222223333444666666666666121212121212121212181818181818272727272727363636363636363636545454545454545454
order12344463366121212999121212121212181818363636363636363636369918184412121212121212363636363636222666666
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ31111-1-1111111-1-111111-1-1-1-1111111-1-1-1-1-1-11111111111111-1-111-1-1-1-11-1-111-1-1-1-1
χ41111-1-1111111-1-111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1-111-1-11111
χ5111-11-111111-11-1111-1-111-1-1111-1-1-1111-1-1-1111111111111-11-1-1-111-1-1-11-1-1-111-1-1
χ6111-11-111111-11-1111-1-111-1-1111-1-1-1111-1-1-1111111-1-1-1-1-1-1-11-1-1-111-1-11-1111-1-111
χ7111-1-1111111-1-11111-1-1-1-111111-1-1-1-1-1-1111111111111111-1-11-1-1-1-111-1-11-1-1-1-111
χ8111-1-1111111-1-11111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-11111-11111-1-1
χ922222222222222222222222222222222222-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1000000000
χ1022222222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000222-1-1-1-1-1-1000000000
χ1122222222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-1000000-1-1-12-12-12-1000000000
χ1222222222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12000000-1-1-1-12-12-12000000000
χ132222-2-2222222-2-222222-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1000000-111-1-11111000000000
χ142222-2-2222222-2-2-1-1-122-2-2-2-2-1-1-1-1-1-111111122-1-1-1-10000002-2-2-1-11111000000000
χ152222-2-2222222-2-2-1-1-122-2-2-2-2-1-1-1-1-1-1111111-1-12-12-1000000-1112-1-21-21000000000
χ162222-2-2222222-2-2-1-1-122-2-2-2-2-1-1-1-1-1-1111111-1-1-12-12000000-111-121-21-2000000000
χ17222-22-222222-22-2222-2-222-2-2222-2-2-2222-2-2-2-1-1-1-1-1-10000001-1111-1-111000000000
χ18222-22-222222-22-2-1-1-1-2-222-2-2-1-1-1111-1-1-111122-1-1-1-1000000-22-211-1-111000000000
χ19222-22-222222-22-2-1-1-1-2-222-2-2-1-1-1111-1-1-1111-1-12-12-10000001-11-212-1-21000000000
χ20222-22-222222-22-2-1-1-1-2-222-2-2-1-1-1111-1-1-1111-1-1-12-120000001-111-2-121-2000000000
χ21222-2-2222222-2-22222-2-2-2-222222-2-2-2-2-2-2222-1-1-1-1-1-100000011-11111-1-1000000000
χ22222-2-2222222-2-22-1-1-1-2-2-2-222-1-1-1111111-1-1-122-1-1-1-1000000-2-221111-1-1000000000
χ23222-2-2222222-2-22-1-1-1-2-2-2-222-1-1-1111111-1-1-1-1-12-12-100000011-1-21-212-1000000000
χ24222-2-2222222-2-22-1-1-1-2-2-2-222-1-1-1111111-1-1-1-1-1-12-1200000011-11-21-2-12000000000
χ252-22000-222-2-2000222000000-2-2-20000000002-222-2-22i−2i2i2i−2i−2i000000000000000000
χ262-22000-222-2-2000222000000-2-2-20000000002-222-2-2−2i2i−2i−2i2i2i000000000000000000
χ273333333−3−3i32−3+3i32−3−3i32−3+3i32333000−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000011−1−i32−1+i32−1−i32−1+i32000000000111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ283333333−3−3i32−3+3i32−3−3i32−3+3i32333000−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000-1-11+i321−i321+i321−i32000000000-1-1-11+i321−i321+i321−i321+i321−i32
χ293333333−3+3i32−3−3i32−3+3i32−3−3i32333000−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000011−1+i32−1−i32−1+i32−1−i32000000000111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ303333333−3+3i32−3−3i32−3+3i32−3−3i32333000−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000-1-11−i321+i321−i321+i32000000000-1-1-11−i321+i321−i321+i321−i321+i32
χ313333-3-33−3−3i32−3+3i32−3−3i32−3+3i323-3-3000−3−3i32−3+3i323+3i323−3i323+3i323−3i3200000000000000000011−1−i32−1+i32−1−i32−1+i320000000001-1-1−1−i32−1+i321+i321−i321+i321−i32
χ323333-3-33−3−3i32−3+3i32−3−3i32−3+3i323-3-3000−3−3i32−3+3i323+3i323−3i323+3i323−3i32000000000000000000-1-11+i321−i321+i321−i32000000000-1111+i321−i32−1−i32−1+i32−1−i32−1+i32
χ333333-3-33−3+3i32−3−3i32−3+3i32−3−3i323-3-3000−3+3i32−3−3i323−3i323+3i323−3i323+3i3200000000000000000011−1+i32−1−i32−1+i32−1−i320000000001-1-1−1+i32−1−i321−i321+i321−i321+i32
χ343333-3-33−3+3i32−3−3i32−3+3i32−3−3i323-3-3000−3+3i32−3−3i323−3i323+3i323−3i323+3i32000000000000000000-1-11−i321+i321−i321+i32000000000-1111−i321+i32−1+i32−1−i32−1+i32−1−i32
χ35333-33-33−3−3i32−3+3i32−3−3i32−3+3i32-33-30003+3i323−3i32−3−3i32−3+3i323+3i323−3i3200000000000000000011−1−i32−1+i32−1−i32−1+i32000000000-11-11+i321−i32−1−i32−1+i321+i321−i32
χ36333-33-33−3−3i32−3+3i32−3−3i32−3+3i32-33-30003+3i323−3i32−3−3i32−3+3i323+3i323−3i32000000000000000000-1-11+i321−i321+i321−i320000000001-11−1−i32−1+i321+i321−i32−1−i32−1+i32
χ37333-33-33−3+3i32−3−3i32−3+3i32−3−3i32-33-30003−3i323+3i32−3+3i32−3−3i323−3i323+3i3200000000000000000011−1+i32−1−i32−1+i32−1−i32000000000-11-11−i321+i32−1+i32−1−i321−i321+i32
χ38333-33-33−3+3i32−3−3i32−3+3i32−3−3i32-33-30003−3i323+3i32−3+3i32−3−3i323−3i323+3i32000000000000000000-1-11−i321+i321−i321+i320000000001-11−1+i32−1−i321−i321+i32−1+i32−1−i32
χ39333-3-333−3−3i32−3+3i32−3−3i32−3+3i32-3-330003+3i323−3i323+3i323−3i32−3−3i32−3+3i3200000000000000000011−1−i32−1+i32−1−i32−1+i32000000000-1-111+i321−i321+i321−i32−1−i32−1+i32
χ40333-3-333−3−3i32−3+3i32−3−3i32−3+3i32-3-330003+3i323−3i323+3i323−3i32−3−3i32−3+3i32000000000000000000-1-11+i321−i321+i321−i3200000000011-1−1−i32−1+i32−1−i32−1+i321+i321−i32
χ41333-3-333−3+3i32−3−3i32−3+3i32−3−3i32-3-330003−3i323+3i323−3i323+3i32−3+3i32−3−3i3200000000000000000011−1+i32−1−i32−1+i32−1−i32000000000-1-111−i321+i321−i321+i32−1+i32−1−i32
χ42333-3-333−3+3i32−3−3i32−3+3i32−3−3i32-3-330003−3i323+3i323−3i323+3i32−3+3i32−3−3i32000000000000000000-1-11−i321+i321−i321+i3200000000011-1−1+i32−1−i32−1+i32−1−i321−i321+i32
χ434-44000-444-4-4000444000000-4-4-4000000000-22-2-222000000000000000000000000
χ444-44000-444-4-4000-2-2-20000002220000000004-4-2-222000000000000000000000000
χ454-44000-444-4-4000-2-2-2000000222000000000-224-2-42000000000000000000000000
χ464-44000-444-4-4000-2-2-2000000222000000000-22-242-4000000000000000000000000
χ4766-3666-30000-3-3-3−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34000000−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34000000000000000000000000000000
χ4866-3666-30000-3-3-3−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34000000−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34000000000000000000000000000000
χ4966-3666-30000-3-3-32ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ340000002ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ34000000000000000000000000000000
χ5066-36-6-6-30000-333−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34000000−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34000000000000000000000000000000
χ5166-36-6-6-30000-333−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34000000−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34000000000000000000000000000000
χ5266-36-6-6-30000-3332ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ340000002ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34000000000000000000000000000000
χ5366-3-66-6-300003-33−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34000000−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34000000000000000000000000000000
χ5466-3-66-6-300003-33−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34000000−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34000000000000000000000000000000
χ5566-3-66-6-300003-332ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ340000002ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34000000000000000000000000000000
χ5666-3-6-66-3000033-3−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34000000−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34000000000000000000000000000000
χ5766-3-6-66-3000033-3−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34000000−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34−ζ14−2ζ22+ζ26−ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34000000000000000000000000000000
χ5866-3-6-66-3000033-32ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ340000002ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ34−2ζ14−ζ22−ζ26+ζ34ζ14−ζ22+2ζ26−2ζ34ζ14+2ζ22−ζ26+ζ342ζ14+ζ22+ζ26−ζ34−ζ14+ζ22−2ζ26+2ζ34−ζ14−2ζ22+ζ26−ζ34000000000000000000000000000000
χ596-66000-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000000002i−2i−2ζ15−2ζ32ζ152ζ3000000000000000000
χ606-66000-6−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000−2i2i2ζ152ζ3−2ζ15−2ζ3000000000000000000
χ616-66000-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000000002i−2i−2ζ3−2ζ152ζ32ζ15000000000000000000
χ626-66000-6−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000−2i2i2ζ32ζ15−2ζ3−2ζ15000000000000000000
χ6312-12-600060000000−2ζ14+2ζ22−4ζ26+4ζ34−2ζ14−4ζ22+2ζ26−2ζ344ζ14+2ζ22+2ζ26−2ζ340000002ζ14−2ζ22+4ζ26−4ζ342ζ14+4ζ22−2ζ26+2ζ34−4ζ14−2ζ22−2ζ26+2ζ34000000000000000000000000000000000000000
χ6412-12-600060000000−2ζ14−4ζ22+2ζ26−2ζ344ζ14+2ζ22+2ζ26−2ζ34−2ζ14+2ζ22−4ζ26+4ζ340000002ζ14+4ζ22−2ζ26+2ζ34−4ζ14−2ζ22−2ζ26+2ζ342ζ14−2ζ22+4ζ26−4ζ34000000000000000000000000000000000000000
χ6512-12-6000600000004ζ14+2ζ22+2ζ26−2ζ34−2ζ14+2ζ22−4ζ26+4ζ34−2ζ14−4ζ22+2ζ26−2ζ34000000−4ζ14−2ζ22−2ζ26+2ζ342ζ14−2ζ22+4ζ26−4ζ342ζ14+4ζ22−2ζ26+2ζ34000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.