Finite Group Databasebeta

← Group #11775616

Character table — Group #11775616

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order1222222222336666666666666666666666444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1iiii−i−i−i−i
χ6111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−i−i−i−iiiii
χ7111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−i−i−i−iiiii
χ8111111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1iiii−i−i−i−i
χ91111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i11ii−i−iii−i−i
χ101111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii11−i−iii−i−iii
χ111111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i11−i−iii−i−iii
χ121111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii11ii−i−iii−i−i
χ131111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-1111-111-1-1-1-111
χ141111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-11-111-111-1-1-1-111-1-11111-1-11-1-1-11111-1-1
χ151111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-111-11-1-11-1-11111-1-111-1-1-1-1111-1-1-11111-1-1
χ161111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-111-1-111-1-1-11111-1-1-1-11111-1-11-111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ18222222-2-2-2-22222222222-2-222-2-222-2-2-2-2-2-2-2-222000000000000000000000000-2200000000
χ192222-2-222-2-2222222-2-2-2-2-2-222-2-2-2-22222-2-22222000000000000000000000000-2-200000000
χ202222-2-2-2-222222222-2-2-2-2222222-2-2-2-2-2-22222-2-2000000000000000000000000-2200000000
χ2122-2-22-22-22-22222-2-222-2-222-2-2-2-22-222-2-22-20000000000000000000000000000002−22−22−22−2
χ2222-2-22-22-22-22222-2-222-2-222-2-2-2-22-222-2-22-2000000000000000000000000000000−22−22−22−22
χ2322-2-22-2-22-222222-2-222-2-2-2-2-2-2222-2-2-222-22000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ2422-2-22-2-22-222222-2-222-2-2-2-2-2-2222-2-2-222-22000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ2522-2-2-222-2-222222-2-2-2-222-2-2-2-222-2222-2-2-22000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ2622-2-2-222-2-222222-2-2-2-222-2-2-2-222-2222-2-2-22000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ2722-2-2-22-222-22222-2-2-2-22222-2-2-2-2-22-2-2222-20000000000000000000000000000002−2−22−222−2
χ2822-2-2-22-222-22222-2-2-2-22222-2-2-2-2-22-2-2222-2000000000000000000000000000000−222−22−2−22
χ2944444444441-21-211-2-2-2-211-2-211111-21-2-2-200000000222200000000-1-1-1-1-1-1-1-10000000000
χ3044444444441-21-211-2-2-2-211-2-211111-21-2-2-200000000-2-2-2-200000000111111110000000000
χ314444444444-21-21-2-21111-2-211-2-2-2-2-21-2111000022220000-1-1-1-1-1-1-1-1000000000000000000
χ324444444444-21-21-2-21111-2-211-2-2-2-2-21-21110000-2-2-2-2000011111111000000000000000000
χ33444444-4-4-4-41-21-211-2-2-2-2-1-1-2-2-1-111-12-1222000000002i2i−2i−2i00000000−i−i−i−iiiii0000000000
χ34444444-4-4-4-41-21-211-2-2-2-2-1-1-2-2-1-111-12-122200000000−2i−2i2i2i00000000iiii−i−i−i−i0000000000
χ35444444-4-4-4-4-21-21-2-21111221122-2-22-12-1-1-1000022-2-20000-1-1-1-11111000000000000000000
χ36444444-4-4-4-4-21-21-2-21111221122-2-22-12-1-1-10000-2-22200001111-1-1-1-1000000000000000000
χ374444-4-444-4-41-21-2112222-1-1-2-2-1-1-1-11-21-222000000002i−2i2i−2i00000000−i−iii−i−iii0000000000
χ384444-4-444-4-41-21-2112222-1-1-2-2-1-1-1-11-21-22200000000−2i2i−2i2i00000000ii−i−iii−i−i0000000000
χ394444-4-444-4-4-21-21-2-2-1-1-1-122112222-21-21-1-100002-22-20000-1-111-1-111000000000000000000
χ404444-4-444-4-4-21-21-2-2-1-1-1-122112222-21-21-1-10000-22-22000011-1-111-1-1000000000000000000
χ414444-4-4-4-4441-21-211222211-2-211-1-1-12-12-2-2000000002-2-2200000000-1-11111-1-10000000000
χ424444-4-4-4-4441-21-211222211-2-211-1-1-12-12-2-200000000-222-20000000011-1-1-1-1110000000000
χ434444-4-4-4-444-21-21-2-2-1-1-1-1-2-211-2-2222-12-11100002-2-220000-1-11111-1-1000000000000000000
χ444444-4-4-4-444-21-21-2-2-1-1-1-1-2-211-2-2222-12-1110000-222-2000011-1-1-1-111000000000000000000
χ4544-4-44-44-44-41-21-2-1-1-2-2221122-1-11-11-2-12-22000000000000000000003−33−33−33−30000000000
χ4644-4-44-44-44-41-21-2-1-1-2-2221122-1-11-11-2-12-2200000000000000000000−33−33−33−330000000000
χ4744-4-44-44-44-4-21-212211-1-1-2-2-1-122-22-212-11-10000000000003−33−33−33−3000000000000000000
χ4844-4-44-44-44-4-21-212211-1-1-2-2-1-122-22-212-11-1000000000000−33−33−33−33000000000000000000
χ4944-4-44-4-44-441-21-2-1-1-2-222-1-122111-1-121-22-200000000000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ5044-4-44-4-44-441-21-2-1-1-2-222-1-122111-1-121-22-200000000000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ5144-4-44-4-44-44-21-212211-1-122-1-1-2-2-222-1-21-110000000000003−33−3−33−33000000000000000000
χ5244-4-44-4-44-44-21-212211-1-122-1-1-2-2-222-1-21-11000000000000−33−333−33−3000000000000000000
χ5344-4-4-444-4-441-21-2-1-122-2-2-1-12211-111-2-122-200000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ5444-4-4-444-4-441-21-2-1-122-2-2-1-12211-111-2-122-200000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ5544-4-4-444-4-44-21-2122-1-11122-1-1-2-22-2-212-1-110000000000003−3−333−3−33000000000000000000
χ5644-4-4-444-4-44-21-2122-1-11122-1-1-2-22-2-212-1-11000000000000−333−3−333−3000000000000000000
χ5744-4-4-44-444-41-21-2-1-122-2-21122-1-1-11-121-2-22000000000000000000003−3−33−333−30000000000
χ5844-4-4-44-444-41-21-2-1-122-2-21122-1-1-11-121-2-2200000000000000000000−333−33−3−330000000000
χ5944-4-4-44-444-4-21-2122-1-111-2-2-1-1222-22-1-211-10000000000003−3−33−333−3000000000000000000
χ6044-4-4-44-444-4-21-2122-1-111-2-2-1-1222-22-1-211-1000000000000−333−33−3−33000000000000000000
χ614-44-400000044-4-44-40000004-40000000000004i−4i0000000000000000000000000000000000
χ624-44-400000044-4-44-40000004-4000000000000−4i4i0000000000000000000000000000000000
χ634-4-4400000044-4-4-44000000-4400000000004-4000000000000000000000000000000000000
χ644-4-4400000044-4-4-44000000-440000000000-44000000000000000000000000000000000000
χ658-88-80000002-4-242-200006-6-446-60000000000000000000000000000000000000000000000
χ668-88-80000002-4-242-20000-66-44-660000000000000000000000000000000000000000000000
χ678-88-8000000-424-2-446-66-6002-2000000000000000000000000000000000000000000000000
χ688-88-8000000-424-2-44-66-66002-2000000000000000000000000000000000000000000000000
χ698-8-880000002-4-24-2200006-64-4-660000000000000000000000000000000000000000000000
χ708-8-880000002-4-24-220000-664-46-60000000000000000000000000000000000000000000000
χ718-8-88000000-424-24-46-6-6600-22000000000000000000000000000000000000000000000000
χ728-8-88000000-424-24-4-666-600-22000000000000000000000000000000000000000000000000

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