Finite Group Databasebeta

← Group #13049535

Character table — Group #13049535

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222244444444441818181818181818182244444488888888883636363636363636363366666612121212121212121212545454545454545454
order123336663333366666444121212121212363336663333366666121212121212121212226666666666666666444121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-1
χ3111111111111111111-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1
χ4111111111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111
χ52222-122-12-1-1-1-12-1-1-1-10020000-1-12222-122-12-1-1-1-12-1-1-1-10020000-1-12222-122-12-1-1-1-12-1-1-1-10020000-1-1
χ62222-122-12-1-1-1-12-1-1-1-100-20000112222-122-12-1-1-1-12-1-1-1-100-20000112222-122-12-1-1-1-12-1-1-1-100-2000011
χ7222-122-12-12-1-1-1-12-1-1-102000-1-100222-122-12-12-1-1-1-12-1-1-102000-1-100222-122-12-12-1-1-1-12-1-1-102000-1-100
χ8222-122-12-12-1-1-1-12-1-1-10-20001100222-122-12-12-1-1-1-12-1-1-10-20001100222-122-12-12-1-1-1-12-1-1-10-20001100
χ922-122-122-1-12-1-1-1-12-1-1200-1-1000022-122-122-1-12-1-1-1-12-1-1200-1-1000022-122-122-1-12-1-1-1-12-1-1200-1-10000
χ1022-122-122-1-12-1-1-1-12-1-1-20011000022-122-122-1-12-1-1-1-12-1-1-20011000022-122-122-1-12-1-1-1-12-1-1-200110000
χ112-2222-2-2-222222-2-2-2-2-20000000002-2222-2-2-222222-2-2-2-2-20000000002-2222-2-2-222222-2-2-2-2-2000000000
χ122-222-1-2-212-1-1-1-1-2111100000003−32-222-1-2-212-1-1-1-1-2111100000003−32-222-1-2-212-1-1-1-1-2111100000003−3
χ132-222-1-2-212-1-1-1-1-211110000000−332-222-1-2-212-1-1-1-1-211110000000−332-222-1-2-212-1-1-1-1-211110000000−33
χ142-22-12-21-2-12-1-1-11-2111000003−3002-22-12-21-2-12-1-1-11-2111000003−3002-22-12-21-2-12-1-1-11-2111000003−300
χ152-22-12-21-2-12-1-1-11-211100000−33002-22-12-21-2-12-1-1-11-211100000−33002-22-12-21-2-12-1-1-11-211100000−3300
χ162-2-1221-2-2-1-12-1-111-2110003−300002-2-1221-2-2-1-12-1-111-2110003−300002-2-1221-2-2-1-12-1-111-2110003−30000
χ172-2-1221-2-2-1-12-1-111-211000−3300002-2-1221-2-2-1-12-1-111-211000−3300002-2-1221-2-2-1-12-1-111-211000−330000
χ18444-2-24-2-2-2-2111-2-2111000000000444-2-24-2-2-2-2111-2-2111000000000444-2-24-2-2-2-2111-2-2111000000000
χ1944-24-2-24-2-21-211-21-21100000000044-24-2-24-2-21-211-21-21100000000044-24-2-24-2-21-211-21-211000000000
χ2044-2-24-2-241-2-2111-2-21100000000044-2-24-2-241-2-2111-2-21100000000044-2-24-2-241-2-2111-2-211000000000
χ2144-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3200000000044-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3200000000044-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32000000000
χ2244-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3200000000044-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3200000000044-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32000000000
χ234-44-2-2-422-2-211122-1-1-10000000004-44-2-2-422-2-211122-1-1-10000000004-44-2-2-422-2-211122-1-1-1000000000
χ244-4-24-22-42-21-2112-12-1-10000000004-4-24-22-42-21-2112-12-1-10000000004-4-24-22-42-21-2112-12-1-1000000000
χ254-4-2-2422-41-2-211-122-1-10000000004-4-2-2422-41-2-211-122-1-10000000004-4-2-2422-41-2-211-122-1-1000000000
χ264-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i320000000004-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i320000000004-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000
χ274-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i320000000004-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i320000000004-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000
χ28111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ291111111111111111111-1-111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ30111111111111111111-11-1-1-111-1-1111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111
χ31111111111111111111-1-11-1-1-1-111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ322222-122-12-1-1-1-12-1-1-1-10020000-1-12222-122-12-1-1-1-12-1-1-1-10020000-1-1-2-2-2-21-2-21-21111-2111100-2000011
χ332222-122-12-1-1-1-12-1-1-1-100-20000112222-122-12-1-1-1-12-1-1-1-100-2000011-2-2-2-21-2-21-21111-211110020000-1-1
χ34222-122-12-12-1-1-1-12-1-1-102000-1-100222-122-12-12-1-1-1-12-1-1-102000-1-100-2-2-21-2-21-21-21111-21110-20001100
χ35222-122-12-12-1-1-1-12-1-1-10-20001100222-122-12-12-1-1-1-12-1-1-10-20001100-2-2-21-2-21-21-21111-211102000-1-100
χ3622-122-122-1-12-1-1-1-12-1-1200-1-1000022-122-122-1-12-1-1-1-12-1-1200-1-10000-2-21-2-21-2-211-21111-211-200110000
χ3722-122-122-1-12-1-1-1-12-1-1-20011000022-122-122-1-12-1-1-1-12-1-1-200110000-2-21-2-21-2-211-21111-211200-1-10000
χ382-2222-2-2-222222-2-2-2-2-20000000002-2222-2-2-222222-2-2-2-2-2000000000-22-2-2-2222-2-2-2-2-222222000000000
χ392-222-1-2-212-1-1-1-1-2111100000003−32-222-1-2-212-1-1-1-1-2111100000003−3-22-2-2122-1-211112-1-1-1-10000000−33
χ402-222-1-2-212-1-1-1-1-211110000000−332-222-1-2-212-1-1-1-1-211110000000−33-22-2-2122-1-211112-1-1-1-100000003−3
χ412-22-12-21-2-12-1-1-11-2111000003−3002-22-12-21-2-12-1-1-11-2111000003−300-22-21-22-121-2111-12-1-1-100000−3300
χ422-22-12-21-2-12-1-1-11-211100000−33002-22-12-21-2-12-1-1-11-211100000−3300-22-21-22-121-2111-12-1-1-1000003−300
χ432-2-1221-2-2-1-12-1-111-2110003−300002-2-1221-2-2-1-12-1-111-2110003−30000-221-2-2-12211-211-1-12-1-1000−330000
χ442-2-1221-2-2-1-12-1-111-211000−3300002-2-1221-2-2-1-12-1-111-211000−330000-221-2-2-12211-211-1-12-1-10003−30000
χ45444-2-24-2-2-2-2111-2-2111000000000444-2-24-2-2-2-2111-2-2111000000000-4-4-422-42222-1-1-122-1-1-1000000000
χ4644-24-2-24-2-21-211-21-21100000000044-24-2-24-2-21-211-21-211000000000-4-42-422-422-12-1-12-12-1-1000000000
χ4744-2-24-2-241-2-2111-2-21100000000044-2-24-2-241-2-2111-2-211000000000-4-422-422-4-122-1-1-122-1-1000000000
χ4844-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3200000000044-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32000000000-4-4222222-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000
χ4944-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3200000000044-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32000000000-4-4222222-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000
χ504-44-2-2-422-2-211122-1-1-10000000004-44-2-2-422-2-211122-1-1-1000000000-44-4224-2-222-1-1-1-2-2111000000000
χ514-4-24-22-42-21-2112-12-1-10000000004-4-24-22-42-21-2112-12-1-1000000000-442-42-24-22-12-1-1-21-211000000000
χ524-4-2-2422-41-2-211-122-1-10000000004-4-2-2422-41-2-211-122-1-1000000000-4422-4-2-24-122-1-11-2-211000000000
χ534-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i320000000004-4-2-2-2222111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000-44222-2-2-2-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000
χ544-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i320000000004-4-2-2-2222111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000-44222-2-2-2-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000
χ55222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ562222222222222222222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111000000000000000000000000000
χ57222222222222222222-22-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111000000000000000000000000000
χ58222222222222222222-2-22-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1000000000000000000000000000
χ594444-244-24-2-2-2-24-2-2-2-20040000-2-2-2-2-2-21-2-21-21111-2111100-2000011000000000000000000000000000
χ604444-244-24-2-2-2-24-2-2-2-200-4000022-2-2-2-21-2-21-21111-211110020000-1-1000000000000000000000000000
χ61444-244-24-24-2-2-2-24-2-2-204000-2-200-2-2-21-2-21-21-21111-21110-20001100000000000000000000000000000
χ62444-244-24-24-2-2-2-24-2-2-20-40002200-2-2-21-2-21-21-21111-211102000-1-100000000000000000000000000000
χ6344-244-244-2-24-2-2-2-24-2-2400-2-20000-2-21-2-21-2-211-21111-211-200110000000000000000000000000000000
χ6444-244-244-2-24-2-2-2-24-2-2-400220000-2-21-2-21-2-211-21111-211200-1-10000000000000000000000000000000
χ654-4444-4-4-444444-4-4-4-4-4000000000-22-2-2-2222-2-2-2-2-222222000000000000000000000000000000000000
χ664-444-2-4-424-2-2-2-2-42222000000023−23-22-2-2122-1-211112-1-1-1-10000000−33000000000000000000000000000
χ674-444-2-4-424-2-2-2-2-422220000000−2323-22-2-2122-1-211112-1-1-1-100000003−3000000000000000000000000000
χ684-44-24-42-4-24-2-2-22-42220000023−2300-22-21-22-121-2111-12-1-1-100000−3300000000000000000000000000000
χ694-44-24-42-4-24-2-2-22-422200000−232300-22-21-22-121-2111-12-1-1-1000003−300000000000000000000000000000
χ704-4-2442-4-4-2-24-2-222-42200023−230000-221-2-2-12211-211-1-12-1-1000−330000000000000000000000000000000
χ714-4-2442-4-4-2-24-2-222-422000−23230000-221-2-2-12211-211-1-12-1-10003−30000000000000000000000000000000
χ72888-4-48-4-4-4-4222-4-4222000000000-4-4-422-42222-1-1-122-1-1-1000000000000000000000000000000000000
χ7388-48-4-48-4-42-422-42-422000000000-4-42-422-422-12-1-12-12-1-1000000000000000000000000000000000000
χ7488-4-48-4-482-4-4222-4-422000000000-4-422-422-4-122-1-1-122-1-1000000000000000000000000000000000000
χ7588-4-4-4-4-4-4222−1−3i3−1+3i3222−1−3i3−1+3i3000000000-4-4222222-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000000000000
χ7688-4-4-4-4-4-4222−1+3i3−1−3i3222−1+3i3−1−3i3000000000-4-4222222-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000000000000
χ778-88-4-4-844-4-422244-2-2-2000000000-44-4224-2-222-1-1-1-2-2111000000000000000000000000000000000000
χ788-8-48-44-84-42-4224-24-2-2000000000-442-42-24-22-12-1-1-21-211000000000000000000000000000000000000
χ798-8-4-4844-82-4-422-244-2-2000000000-4422-4-2-24-122-1-11-2-211000000000000000000000000000000000000
χ808-8-4-4-4444222−1−3i3−1+3i3-2-2-21+3i31−3i3000000000-44222-2-2-2-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000000000000
χ818-8-4-4-4444222−1+3i3−1−3i3-2-2-21−3i31+3i3000000000-44222-2-2-2-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000000000000

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