Finite Group Databasebeta

← Group #13088669

Character table — Group #13088669

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112222222224444444455888888888888888899101010101010101010101010101820202020202020202020202020202020202020203636363645459090909090
order123333466665101212121220204415151515303030306060606060606060442888812121212121212122666624242424242424242424242424242424101020202248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ31111111111111111111111111111111111111-1-11111111111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-11-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1111111111111111111-1ii−i−i-1-1-1-1-1-1-1-11-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1ii−i−i
χ61111111111111111111-1-1111111111111111111-1−i−iii-1-1-1-1-1-1-1-11-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1−i−iii
χ71111111111111111111-1-11111111111111111-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111−i−iii
χ81111111111111111111-1-11111111111111111-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111ii−i−i
χ9111111-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-11-11-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-11-11-1
χ10111111-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-11
χ11111111-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11-11-11
χ12111111-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-1
χ13111111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111i−i−ii-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11i−i−ii
χ14111111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111−iii−i-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11−iii−i
χ15111111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11i−i−ii-1-1-1-1-1-1-1-111111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1−iii−i
χ16111111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11−iii−i-1-1-1-1-1-1-1-111111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1i−i−ii
χ17222-1-1-122-1-1-1222-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-1002222222-1-1-1-1-1-102-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000
χ18222-1-1-122-1-1-1222-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-1002-2-2-2-222-1-1-1-1-1-102-1-1-1-2111-2111-2111-211100000000000
χ19222-1-1-122-1-1-1222-1-1-122-2-22-1-1-12-1-1-122-1-1-1-1-1-100-22i2i−2i−2i-2-21111110-21112i−i−i−i2i−i−i−i−2iiii−2iiii00000000000
χ20222-1-1-122-1-1-1222-1-1-122-2-22-1-1-12-1-1-122-1-1-1-1-1-100-2−2i−2i2i2i-2-21111110-2111−2iiii−2iiii2i−i−i−i2i−i−i−i00000000000
χ21222-1-1-1-22-1-1-122-2111-2-2222-1-1-12-1-1-1-2-211111100-22-22-222-1-1-1-1-1-10-21112-1-1-1-21112-1-1-1-211100000000000
χ22222-1-1-1-22-1-1-122-2111-2-2222-1-1-12-1-1-1-2-211111100-2-22-2222-1-1-1-1-1-10-2111-21112-1-1-1-21112-1-1-100000000000
χ23222-1-1-1-22-1-1-122-2111-2-2-2-22-1-1-12-1-1-1-2-21111110022i−2i−2i2i-2-211111102-1-1-12i−i−i−i−2iiii−2iiii2i−i−i−i00000000000
χ24222-1-1-1-22-1-1-122-2111-2-2-2-22-1-1-12-1-1-1-2-2111111002−2i2i2i−2i-2-211111102-1-1-1−2iiii2i−i−i−i2i−i−i−i−2iiii00000000000
χ2522-12-1-12-12-1-122-12-1-12222-12-1-1-12-1-1-1-122-1-1-1-10022222-1-122-1-1-1-10-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000000
χ2622-12-1-12-12-1-122-12-1-12222-12-1-1-12-1-1-1-122-1-1-1-1002-2-2-2-2-1-122-1-1-1-10-12-1-11-2111-2111-2111-21100000000000
χ2722-12-1-12-12-1-122-12-1-122-2-2-12-1-1-12-1-1-1-122-1-1-1-100-22i2i−2i−2i11-2-2111101-211−i2i−i−i−i2i−i−ii−2iiii−2iii00000000000
χ2822-12-1-12-12-1-122-12-1-122-2-2-12-1-1-12-1-1-1-122-1-1-1-100-2−2i−2i2i2i11-2-2111101-211i−2iiii−2iii−i2i−i−i−i2i−i−i00000000000
χ2922-12-1-1-2-12-1-1221-211-2-222-12-1-1-12-1-111-2-2111100-22-22-2-1-122-1-1-1-101-211-12-1-11-211-12-1-11-21100000000000
χ3022-12-1-1-2-12-1-1221-211-2-222-12-1-1-12-1-111-2-2111100-2-22-22-1-122-1-1-1-101-2111-211-12-1-11-211-12-1-100000000000
χ3122-12-1-1-2-12-1-1221-211-2-2-2-2-12-1-1-12-1-111-2-211110022i−2i−2i2i11-2-211110-12-1-1−i2i−i−ii−2iiii−2iii−i2i−i−i00000000000
χ3222-12-1-1-2-12-1-1221-211-2-2-2-2-12-1-1-12-1-111-2-21111002−2i2i2i−2i11-2-211110-12-1-1i−2iii−i2i−i−i−i2i−i−ii−2iii00000000000
χ3322-1-12-12-1-12-122-1-12-12222-1-12-1-1-12-1-1-1-1-122-1-10022222-1-1-1-122-1-10-1-12-1-1-12-1-1-12-1-1-12-1-1-12-100000000000
χ3422-1-12-12-1-12-122-1-12-12222-1-12-1-1-12-1-1-1-1-122-1-1002-2-2-2-2-1-1-1-122-1-10-1-12-111-2111-2111-2111-2100000000000
χ3522-1-12-12-1-12-122-1-12-122-2-2-1-12-1-1-12-1-1-1-1-122-1-100-22i2i−2i−2i1111-2-211011-21−i−i2i−i−i−i2i−iii−2iiii−2ii00000000000
χ3622-1-12-12-1-12-122-1-12-122-2-2-1-12-1-1-12-1-1-1-1-122-1-100-2−2i−2i2i2i1111-2-211011-21ii−2iiii−2ii−i−i2i−i−i−i2i−i00000000000
χ3722-1-12-1-2-1-12-12211-21-2-222-1-12-1-1-12-11111-2-21100-22-22-2-1-1-1-122-1-1011-21-1-12-111-21-1-12-111-2100000000000
χ3822-1-12-1-2-1-12-12211-21-2-222-1-12-1-1-12-11111-2-21100-2-22-22-1-1-1-122-1-1011-2111-21-1-12-111-21-1-12-100000000000
χ3922-1-12-1-2-1-12-12211-21-2-2-2-2-1-12-1-1-12-11111-2-2110022i−2i−2i2i1111-2-2110-1-12-1−i−i2i−iii−2iiii−2ii−i−i2i−i00000000000
χ4022-1-12-1-2-1-12-12211-21-2-2-2-2-1-12-1-1-12-11111-2-211002−2i2i2i−2i1111-2-2110-1-12-1ii−2ii−i−i2i−i−i−i2i−iii−2ii00000000000
χ4122-1-1-122-1-1-1222-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-1220022222-1-1-1-1-1-1220-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1200000000000
χ4222-1-1-122-1-1-1222-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-122002-2-2-2-2-1-1-1-1-1-1220-1-1-12111-2111-2111-2111-200000000000
χ4322-1-1-122-1-1-1222-1-1-1222-2-2-1-1-12-1-1-12-1-1-1-1-1-12200-22i2i−2i−2i111111-2-20111-2−i−i−i2i−i−i−i2iiii−2iiii−2i00000000000
χ4422-1-1-122-1-1-1222-1-1-1222-2-2-1-1-12-1-1-12-1-1-1-1-1-12200-2−2i−2i2i2i111111-2-20111-2iii−2iiii−2i−i−i−i2i−i−i−i2i00000000000
χ4522-1-1-12-2-1-1-1222111-2-2-222-1-1-12-1-1-12111111-2-200-22-22-2-1-1-1-1-1-1220111-2-1-1-12111-2-1-1-12111-200000000000
χ4622-1-1-12-2-1-1-1222111-2-2-222-1-1-12-1-1-12111111-2-200-2-22-22-1-1-1-1-1-1220111-2111-2-1-1-12111-2-1-1-1200000000000
χ4722-1-1-12-2-1-1-1222111-2-2-2-2-2-1-1-12-1-1-12111111-2-20022i−2i−2i2i111111-2-20-1-1-12−i−i−i2iiii−2iiii−2i−i−i−i2i00000000000
χ4822-1-1-12-2-1-1-1222111-2-2-2-2-2-1-1-12-1-1-12111111-2-2002−2i2i2i−2i111111-2-20-1-1-12iii−2i−i−i−i2i−i−i−i2iiii−2i00000000000
χ492-222220-2-2-2-22-20000002i−2i2222-2-2-2-2000000002i−2i000002i−2i2i−2i2i−2i2i−2i000000000000000000000002i−2i2-200000
χ502-222220-2-2-2-22-20000002i−2i2222-2-2-2-200000000−2i2i000002i−2i2i−2i2i−2i2i−2i00000000000000000000000−2i2i-2200000
χ512-222220-2-2-2-22-2000000−2i2i2222-2-2-2-2000000002i−2i00000−2i2i−2i2i−2i2i−2i2i000000000000000000000002i−2i-2200000
χ522-222220-2-2-2-22-2000000−2i2i2222-2-2-2-200000000−2i2i00000−2i2i−2i2i−2i2i−2i2i00000000000000000000000−2i2i2-200000
χ5344444444444-1-14444-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1440000000000000400000000000000000000-1-1-1-10000000
χ5444444444444-1-14444-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-40000000000000-40000000000000000000011110000000
χ55444444-44444-1-1-4-4-4-41100-1-1-1-1-1-1-1-111111111440000000000000-40000000000000000000011-1-10000000
χ56444444-44444-1-1-4-4-4-41100-1-1-1-1-1-1-1-111111111-4-40000000000000400000000000000000000-1-1110000000
χ574-444440-4-4-4-4-110000i5−i500-1-1-1-11111i5−i5i5−i5i5−i5i5−i54i−4i00000000000000000000000000000000005−5−ii0000000
χ584-444440-4-4-4-4-110000i5−i500-1-1-1-11111i5−i5i5−i5i5−i5i5−i5−4i4i0000000000000000000000000000000000−55i−i0000000
χ594-444440-4-4-4-4-110000−i5i500-1-1-1-11111−i5i5−i5i5−i5i5−i5i54i−4i0000000000000000000000000000000000−55−ii0000000
χ604-444440-4-4-4-4-110000−i5i500-1-1-1-11111−i5i5−i5i5−i5i5−i5i5−4i4i00000000000000000000000000000000005−5i−i0000000
χ614-44-2-2-20-42224-40000004i−4i4-2-2-2-42220000000000000004i−4i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ624-44-2-2-20-42224-4000000−4i4i4-2-2-2-4222000000000000000−4i4i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ634-4-24-2-202-4224-40000004i−4i-24-2-22-422000000000000000−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000
χ644-4-24-2-202-4224-4000000−4i4i-24-2-22-4220000000000000002i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000
χ654-4-2-24-2022-424-40000004i−4i-2-24-222-42000000000000000−2i2i−2i2i4i−4i−2i2i00000000000000000000000000000000
χ664-4-2-24-2022-424-4000000−4i4i-2-24-222-420000000000000002i−2i2i−2i−4i4i2i−2i00000000000000000000000000000000
χ674-4-2-2-240222-44-40000004i−4i-2-2-24222-4000000000000000−2i2i−2i2i−2i2i4i−4i00000000000000000000000000000000
χ684-4-2-2-240222-44-4000000−4i4i-2-2-24222-40000000000000002i−2i2i−2i2i−2i−4i4i00000000000000000000000000000000
χ69888-4-4-488-4-4-4-2-28-4-4-4-2-200-2111-2111-2-211111100000000000000000000000000000000000000000000000
χ70888-4-4-4-88-4-4-4-2-2-84442200-2111-211122-1-1-1-1-1-100000000000000000000000000000000000000000000000
χ7188-48-4-48-48-4-4-2-2-48-4-4-2-2001-2111-21111-2-2111100000000000000000000000000000000000000000000000
χ7288-48-4-4-8-48-4-4-2-24-84422001-2111-211-1-122-1-1-1-100000000000000000000000000000000000000000000000
χ7388-4-48-48-4-48-4-2-2-4-48-4-2-20011-2111-211111-2-21100000000000000000000000000000000000000000000000
χ7488-4-48-4-8-4-48-4-2-244-84220011-2111-21-1-1-1-122-1-100000000000000000000000000000000000000000000000
χ7588-4-4-488-4-4-48-2-2-4-4-48-2-200111-2111-2111111-2-200000000000000000000000000000000000000000000000
χ7688-4-4-48-8-4-4-48-2-2444-82200111-2111-2-1-1-1-1-1-12200000000000000000000000000000000000000000000000
χ778-88-4-4-40-8444-2200002i5−2i500-21112-1-1-12i5−2i5−i5i5−i5i5−i5i500000000000000000000000000000000000000000000000
χ788-88-4-4-40-8444-220000−2i52i500-21112-1-1-1−2i52i5i5−i5i5−i5i5−i500000000000000000000000000000000000000000000000
χ798-8-48-4-404-844-2200002i5−2i5001-211-12-1-1−i5i52i5−2i5−i5i5−i5i500000000000000000000000000000000000000000000000
χ808-8-48-4-404-844-220000−2i52i5001-211-12-1-1i5−i5−2i52i5i5−i5i5−i500000000000000000000000000000000000000000000000
χ818-8-4-48-4044-84-2200002i5−2i50011-21-1-12-1−i5i5−i5i52i5−2i5−i5i500000000000000000000000000000000000000000000000
χ828-8-4-48-4044-84-220000−2i52i50011-21-1-12-1i5−i5i5−i5−2i52i5i5−i500000000000000000000000000000000000000000000000
χ838-8-4-4-480444-8-2200002i5−2i500111-2-1-1-12−i5i5−i5i5−i5i52i5−2i500000000000000000000000000000000000000000000000
χ848-8-4-4-480444-8-220000−2i52i500111-2-1-1-12i5−i5i5−i5i5−i5−2i52i500000000000000000000000000000000000000000000000

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