Finite Group Databasebeta

← Group #72258870

Character table — Group #72258870

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1333334466666666666666661212121212121212121212121212121212121212121216242424242424242424242424242424244848484848256256256256256256256256
order1222222244444444444444442244444444444444444444244444444444444444444433666666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ311111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ41111111-111111111111111111-11111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1
χ51111111-111111111111111111-11111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ61111111-111111111111111111-11111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ7111111-111111111111111111-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11-1-11-1
χ8111111-111111111111111111-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ9111111-111111111111111111-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ10111111-1-11111111111111111-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-11
χ11111111-1-11111111111111111-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ12111111-1-11111111111111111-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ133333333333333333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-13-1-1-1-1-1-1-1-133-1-1-1-1-1-13-1-1-1-100000000
χ1433333333-1-1-1-1-1-1-1-13333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-100000000
χ1533333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-133-1-1-1-1-1-133-1-1-1-1-1-13-1-100000000
χ1633333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-133-1-1-1-1-1-133-1-1-1-1-13-100000000
χ1733333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-13-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1300000000
χ183333333-333333333-1-1-1-1-1-1-1-13-3-1-1-1-1-1-1-1-1-1-1-1-133331111-3-1-1-1-1-1-1-1-1-3-3111111-3111100000000
χ193333333-3-1-1-1-1-1-1-1-1333333333-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-3-333-1-1-1-1-1-1111111111-311100000000
χ203333333-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-33333-1-1-1-1-1-1-1-1-1-1-1-11111-3-1-133-1-1-1-111-3-3111111-31100000000
χ213333333-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-3-1-1-1-13333-1-1-1-1-1-1-1-11111-3-1-1-1-133-1-11111-3-311111-3100000000
χ223333333-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-3-1-1-1-1-1-1-1-13333-1-1-1-11111-3-1-1-1-1-1-133111111-3-31111-300000000
χ23333333-3333333333-1-1-1-1-1-1-1-1-33-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-3-1-1-1-1-31111111133-1-1-1-1-1-1-3111100000000
χ24333333-33-1-1-1-1-1-1-1-133333333-33-1-1-1-1-1-1-1-1-1-1-1-111113333-3-3-3111111-1-1-1-1-1-1-1-11-311100000000
χ25333333-33-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-333333-1-1-1-1-1-1-1-11111-1-1-1-1-311-3-31111-1-133-1-1-1-111-31100000000
χ26333333-33-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-33-1-1-1-13333-1-1-1-11111-1-1-1-1-31111-3-311-1-1-1-133-1-1111-3100000000
χ27333333-33-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-33-1-1-1-1-1-1-1-133331111-1-1-1-1-3111111-3-3-1-1-1-1-1-1331111-300000000
χ28333333-3-333333333-1-1-1-1-1-1-1-1-3-3-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-31111311111111-3-31111113-1-1-1-100000000
χ29333333-3-3-1-1-1-1-1-1-1-133333333-3-3-1-1-1-1-1-1-1-1-1-1-1-11111-3-3-3-33-3-311111111111111-13-1-1-100000000
χ30333333-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-33333-1-1-1-1-1-1-1-111111111311-3-3111111-3-31111-1-13-1-100000000
χ31333333-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-3-1-1-1-13333-1-1-1-11111111131111-3-3111111-3-311-1-1-13-100000000
χ32333333-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-3-1-1-1-1-1-1-1-13333111111113111111-3-3111111-3-3-1-1-1-1300000000
χ3366-2-2-2-2062i2i2i2i−2i−2i−2i−2i66-2-2-2-2-2-20-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00006-2-2-20000000002i−2i2i−2i2i−2i2i−2i0000000000000
χ3466-2-2-2-2062i2i2i2i−2i−2i−2i−2i-2-266-2-2-2-20-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000-26-2-20000000002i−2i2i−2i−2i2i−2i2i0000000000000
χ3566-2-2-2-2062i2i2i2i−2i−2i−2i−2i-2-2-2-266-2-20-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000-2-26-20000000002i−2i−2i2i2i−2i−2i2i0000000000000
χ3666-2-2-2-2062i2i2i2i−2i−2i−2i−2i-2-2-2-2-2-2660-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000-2-2-260000000002i−2i−2i2i−2i2i2i−2i0000000000000
χ3766-2-2-2-206−2i−2i−2i−2i2i2i2i2i66-2-2-2-2-2-20-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00006-2-2-2000000000−2i2i−2i2i−2i2i−2i2i0000000000000
χ3866-2-2-2-206−2i−2i−2i−2i2i2i2i2i-2-266-2-2-2-20-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000-26-2-2000000000−2i2i−2i2i2i−2i2i−2i0000000000000
χ3966-2-2-2-206−2i−2i−2i−2i2i2i2i2i-2-2-2-266-2-20-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000-2-26-2000000000−2i2i2i−2i−2i2i2i−2i0000000000000
χ4066-2-2-2-206−2i−2i−2i−2i2i2i2i2i-2-2-2-2-2-2660-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000-2-2-26000000000−2i2i2i−2i2i−2i−2i2i0000000000000
χ4166-2-2-2-20-62i2i2i2i−2i−2i−2i−2i66-2-2-2-2-2-2022i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000-6222000000000−2i2i−2i2i−2i2i−2i2i0000000000000
χ4266-2-2-2-20-62i2i2i2i−2i−2i−2i−2i-2-266-2-2-2-2022i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00002-622000000000−2i2i−2i2i2i−2i2i−2i0000000000000
χ4366-2-2-2-20-62i2i2i2i−2i−2i−2i−2i-2-2-2-266-2-202−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000022-62000000000−2i2i2i−2i−2i2i2i−2i0000000000000
χ4466-2-2-2-20-62i2i2i2i−2i−2i−2i−2i-2-2-2-2-2-26602−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000222-6000000000−2i2i2i−2i2i−2i−2i2i0000000000000
χ4566-2-2-2-20-6−2i−2i−2i−2i2i2i2i2i66-2-2-2-2-2-202−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000-62220000000002i−2i2i−2i2i−2i2i−2i0000000000000
χ4666-2-2-2-20-6−2i−2i−2i−2i2i2i2i2i-2-266-2-2-2-202−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00002-6220000000002i−2i2i−2i−2i2i−2i2i0000000000000
χ4766-2-2-2-20-6−2i−2i−2i−2i2i2i2i2i-2-2-2-266-2-2022i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000022-620000000002i−2i−2i2i2i−2i−2i2i0000000000000
χ4866-2-2-2-20-6−2i−2i−2i−2i2i2i2i2i-2-2-2-2-2-266022i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000222-60000000002i−2i−2i2i−2i2i2i−2i0000000000000
χ496-26-2-2-2606-2-2-26-2-2-22i−2i2i−2i2i−2i2i−2i-202i−2i2i−2i2i−2i2i−2i2i−2i2i−2i6-2-2-2000002i−2i2i−2i2i−2i2i−2i000000000000000000000
χ506-26-2-2-2606-2-2-26-2-2-2−2i2i−2i2i−2i2i−2i2i-20−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i6-2-2-200000−2i2i−2i2i−2i2i−2i2i000000000000000000000
χ516-26-2-2-260-26-2-2-26-2-22i−2i2i−2i2i−2i2i−2i-202i−2i2i−2i−2i2i−2i2i−2i2i−2i2i-26-2-2000002i−2i2i−2i−2i2i−2i2i000000000000000000000
χ526-26-2-2-260-26-2-2-26-2-2−2i2i−2i2i−2i2i−2i2i-20−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i-26-2-200000−2i2i−2i2i2i−2i2i−2i000000000000000000000
χ536-26-2-2-260-2-26-2-2-26-22i−2i2i−2i2i−2i2i−2i-20−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i-2-26-2000002i−2i−2i2i2i−2i−2i2i000000000000000000000
χ546-26-2-2-260-2-26-2-2-26-2−2i2i−2i2i−2i2i−2i2i-202i−2i2i−2i−2i2i−2i2i2i−2i2i−2i-2-26-200000−2i2i2i−2i−2i2i2i−2i000000000000000000000
χ556-26-2-2-260-2-2-26-2-2-262i−2i2i−2i2i−2i2i−2i-20−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i-2-2-26000002i−2i−2i2i−2i2i2i−2i000000000000000000000
χ566-26-2-2-260-2-2-26-2-2-26−2i2i−2i2i−2i2i−2i2i-202i−2i2i−2i2i−2i2i−2i−2i2i−2i2i-2-2-2600000−2i2i2i−2i2i−2i−2i2i000000000000000000000
χ576-26-2-2-2-606-2-2-26-2-2-22i−2i2i−2i2i−2i2i−2i202i−2i2i−2i2i−2i2i−2i2i−2i2i−2i-622200000−2i2i−2i2i−2i2i−2i2i000000000000000000000
χ586-26-2-2-2-606-2-2-26-2-2-2−2i2i−2i2i−2i2i−2i2i20−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i-6222000002i−2i2i−2i2i−2i2i−2i000000000000000000000
χ596-26-2-2-2-60-26-2-2-26-2-22i−2i2i−2i2i−2i2i−2i202i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2-62200000−2i2i−2i2i2i−2i2i−2i000000000000000000000
χ606-26-2-2-2-60-26-2-2-26-2-2−2i2i−2i2i−2i2i−2i2i20−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i2-622000002i−2i2i−2i−2i2i−2i2i000000000000000000000
χ616-26-2-2-2-60-2-26-2-2-26-22i−2i2i−2i2i−2i2i−2i20−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i22-6200000−2i2i2i−2i−2i2i2i−2i000000000000000000000
χ626-26-2-2-2-60-2-26-2-2-26-2−2i2i−2i2i−2i2i−2i2i202i−2i2i−2i−2i2i−2i2i2i−2i2i−2i22-62000002i−2i−2i2i2i−2i−2i2i000000000000000000000
χ636-26-2-2-2-60-2-2-26-2-2-262i−2i2i−2i2i−2i2i−2i20−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i222-600000−2i2i2i−2i2i−2i−2i2i000000000000000000000
χ646-26-2-2-2-60-2-2-26-2-2-26−2i2i−2i2i−2i2i−2i2i202i−2i2i−2i2i−2i2i−2i−2i2i−2i2i222-6000002i−2i−2i2i−2i2i2i−2i000000000000000000000
χ6512-4-412-4-4004i4i−4i−4i−4i−4i4i4i4i−4i4i−4i−4i4i−4i4i00-444-40000000000000000000000000000000000000000000000
χ6612-4-412-4-4004i4i−4i−4i−4i−4i4i4i−4i4i−4i4i4i−4i4i−4i004-4-440000000000000000000000000000000000000000000000
χ6712-4-412-4-400−4i−4i4i4i4i4i−4i−4i4i−4i4i−4i−4i4i−4i4i004-4-440000000000000000000000000000000000000000000000
χ6812-4-412-4-400−4i−4i4i4i4i4i−4i−4i−4i4i−4i4i4i−4i4i−4i00-444-40000000000000000000000000000000000000000000000
χ6912-4-4-412-4004i−4i4i−4i−4i4i−4i4i4i−4i−4i4i4i−4i−4i4i000000-444-4000000000000000000000000000000000000000000
χ7012-4-4-412-4004i−4i4i−4i−4i4i−4i4i−4i4i4i−4i−4i4i4i−4i0000004-4-44000000000000000000000000000000000000000000
χ7112-4-4-412-400−4i4i−4i4i4i−4i4i−4i4i−4i−4i4i4i−4i−4i4i0000004-4-44000000000000000000000000000000000000000000
χ7212-4-4-412-400−4i4i−4i4i4i−4i4i−4i−4i4i4i−4i−4i4i4i−4i000000-444-4000000000000000000000000000000000000000000
χ7312-4-4-4-412004i−4i−4i4i−4i4i4i−4i4i−4i−4i4i−4i4i4i−4i0000000000-444-400000000000000000000000000000000000000
χ7412-4-4-4-412004i−4i−4i4i−4i4i4i−4i−4i4i4i−4i4i−4i−4i4i00000000004-4-4400000000000000000000000000000000000000
χ7512-4-4-4-41200−4i4i4i−4i4i−4i−4i4i4i−4i−4i4i−4i4i4i−4i00000000004-4-4400000000000000000000000000000000000000
χ7612-4-4-4-41200−4i4i4i−4i4i−4i−4i4i−4i4i4i−4i4i−4i−4i4i0000000000-444-400000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).