Finite Group Databasebeta

← Group #11775280

Character table — Group #11775280

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222244444444444444444444888888121212121212121212121212121212121212121212121212181818182424242436364848484872727272
order1222224444336666666666121212121212121266121212124444444412121212121212121212121212121212444424444461212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-1111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11-11-1-11-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-111-111-1-1
χ91111-1-111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11-11-11-111-1-1i−ii−i
χ101111-1-111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-11-111-1-1-111−ii−ii
χ111111-1-111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-11-11-11-111-1-1−ii−ii
χ121111-1-111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-11-111-1-1-111i−ii−i
χ131111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11-1-11111-11-1i−i−ii
χ141111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-111-111-11-11−iii−i
χ151111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11-1-11111-11-1−iii−i
χ161111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-111-111-11-11i−i−ii
χ17222222222222222222222222222222222222000000000000000000000000-2-2-2-20000-2-200000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000022-2-20000-2200000000
χ192222-2-222-2-22222-2-22222-2-22222-2-2-2-2-2-222-2-2000000000000000000000000-2-2220000-2200000000
χ202222-2-2-2-2222222-2-22222-2-2-2-2-2-22222-2-2-2-22200000000000000000000000022220000-2-200000000
χ212-22-200002i−2i222-200-22-2-20000002i2i−2i−2i00002i−2i1+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2-22i−2i00000000000000
χ222-22-200002i−2i222-200-22-2-20000002i2i−2i−2i00002i−2i1−i−1+i1+i−1−i−1+i1−i−1−i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-22−2i2i00000000000000
χ232-22-200002i−2i222-200-22-2-20000002i2i−2i−2i00002i−2i−1+i1−i−1−i1+i1−i−1+i1+i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-22−2i2i00000000000000
χ242-22-200002i−2i222-200-22-2-20000002i2i−2i−2i00002i−2i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2-22i−2i00000000000000
χ252-22-20000−2i2i222-200-22-2-2000000−2i−2i2i2i0000−2i2i1+i−1−i1−i−1+i−1−i1+i−1+i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-222i−2i00000000000000
χ262-22-20000−2i2i222-200-22-2-2000000−2i−2i2i2i0000−2i2i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2-2−2i2i00000000000000
χ272-22-20000−2i2i222-200-22-2-2000000−2i−2i2i2i0000−2i2i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2-2−2i2i00000000000000
χ282-22-20000−2i2i222-200-22-2-2000000−2i−2i2i2i0000−2i2i−1−i1+i−1+i1−i1+i−1−i1−i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-222i−2i00000000000000
χ2944444444441-211111-2-2-21111111111-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3044444444441-211111-2-2-21111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111000000000000000000
χ314444444444-21-2-2-2-2-2111-2-2-2-2-2-2-2-2-2-21111110000000000000000000000000000222200-1-1-1-10000
χ324444444444-21-2-2-2-2-2111-2-2-2-2-2-2-2-2-2-21111110000000000000000000000000000-2-2-2-20011110000
χ33444444-4-4-4-41-211111-2-2-211-1-1-1-1-1-1-1-1-2-222222222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000
χ34444444-4-4-4-41-211111-2-2-211-1-1-1-1-1-1-1-1-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000
χ35444444-4-4-4-4-21-2-2-2-2-2111-2-22222222211-1-1-1-1000000000000000000000000000022-2-200-111-10000
χ36444444-4-4-4-4-21-2-2-2-2-2111-2-22222222211-1-1-1-10000000000000000000000000000-2-222001-1-110000
χ374444-4-444-4-41-211-1-11-2-2-2-1-11111-1-1-1-122-2-2222i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000
χ384444-4-444-4-41-211-1-11-2-2-2-1-11111-1-1-1-122-2-222−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000
χ394444-4-444-4-4-21-2-222-211122-2-2-2-22222-1-111-1-100000000000000000000000000002-22-200-1-1110000
χ404444-4-444-4-4-21-2-222-211122-2-2-2-22222-1-111-1-10000000000000000000000000000-22-220011-1-10000
χ414444-4-4-4-4441-211-1-11-2-2-2-1-1-1-1-1-111112222-2-22i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000
χ424444-4-4-4-4441-211-1-11-2-2-2-1-1-1-1-1-111112222-2-2−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000
χ434444-4-4-4-444-21-2-222-2111222222-2-2-2-2-1-1-1-11100000000000000000000000000002-2-2200-11-110000
χ444444-4-4-4-444-21-2-222-2111222222-2-2-2-2-1-1-1-1110000000000000000000000000000-222-2001-11-10000
χ4544-4-44-400001-2-1-111122-2-1-133-3-33-33-32-20000000000003−33−33−33−33−33−33−33−3000000000000000000
χ4644-4-44-400001-2-1-111122-2-1-133-3-33-33-32-2000000000000−33−33−33−33−33−33−33−33000000000000000000
χ4744-4-44-400001-2-1-111122-2-1-1-3-333-33-332-20000000000003−33−33−33−3−33−33−33−33000000000000000000
χ4844-4-44-400001-2-1-111122-2-1-1-3-333-33-332-2000000000000−33−33−33−333−33−33−33−3000000000000000000
χ4944-4-44-4000044-4-4444-4-44-4-400000000-440000000000000000000000000000000000000000000000
χ5044-4-4-4400001-2-1-1-1-1122-21133-3-3-33-33-22000000000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ5144-4-4-4400001-2-1-1-1-1122-21133-3-3-33-33-22000000000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ5244-4-4-4400001-2-1-1-1-1122-211-3-3333-33-3-22000000000000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ5344-4-4-4400001-2-1-1-1-1122-211-3-3333-33-3-22000000000000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ5444-4-4-44000044-4-4-4-44-4-4444000000004-40000000000000000000000000000000000000000000000
χ554-44-400004i−4i1-21-13-3-1-2223-33i−3i3i−3iii−i−i0000−2i2i2-22-22i−2i−2i2i-1-111-1-111−i−iiiii−i−i000000000000000000
χ564-44-400004i−4i1-21-13-3-1-2223-33i−3i3i−3iii−i−i0000−2i2i-22-22−2i2i2i−2i11-1-111-1-1ii−i−i−i−iii000000000000000000
χ574-44-400004i−4i1-21-1-33-1-222-33−3i3i−3i3iii−i−i0000−2i2i2i−2i−2i2i2-22-2−i−iiiii−i−i-1-111-1-111000000000000000000
χ584-44-400004i−4i1-21-1-33-1-222-33−3i3i−3i3iii−i−i0000−2i2i−2i2i2i−2i-22-22ii−i−i−i−iii11-1-111-1-1000000000000000000
χ594-44-40000−4i4i1-21-13-3-1-2223-3−3i3i−3i3i−i−iii00002i−2i2-22-2−2i2i2i−2i-1-111-1-111ii−i−i−i−iii000000000000000000
χ604-44-40000−4i4i1-21-13-3-1-2223-3−3i3i−3i3i−i−iii00002i−2i-22-222i−2i−2i2i11-1-111-1-1−i−iiiii−i−i000000000000000000
χ614-44-40000−4i4i1-21-1-33-1-222-333i−3i3i−3i−i−iii00002i−2i2i−2i−2i2i-22-22−i−iiiii−i−i11-1-111-1-1000000000000000000
χ624-44-40000−4i4i1-21-1-33-1-222-333i−3i3i−3i−i−iii00002i−2i−2i2i2i−2i2-22-2ii−i−i−i−iii-1-111-1-111000000000000000000
χ634-4-44004i−4i001-2-113-3-12-22-33i−i−ii3i−3i−3i3i002i−2i00000000003−3−333−3−33i3−i3−i3i3−i3i3i3−i3000000000000000000
χ644-4-44004i−4i001-2-113-3-12-22-33i−i−ii3i−3i−3i3i002i−2i0000000000−333−3−333−3−i3i3i3−i3i3−i3−i3i3000000000000000000
χ654-4-44004i−4i001-2-11-33-12-223-3i−i−ii−3i3i3i−3i002i−2i0000000000−i3i3i3−i3i3−i3−i3i33−3−333−3−33000000000000000000
χ664-4-44004i−4i001-2-11-33-12-223-3i−i−ii−3i3i3i−3i002i−2i0000000000i3−i3−i3i3−i3i3i3−i3−333−3−333−3000000000000000000
χ674-4-44004i−4i0044-4400-4-44-4004i−4i−4i4i000000−4i4i00000000000000000000000000000000000000000000
χ684-4-4400−4i4i001-2-113-3-12-22-33−iii−i−3i3i3i−3i00−2i2i00000000003−3−333−3−33−i3i3i3−i3i3−i3−i3i3000000000000000000
χ694-4-4400−4i4i001-2-113-3-12-22-33−iii−i−3i3i3i−3i00−2i2i0000000000−333−3−333−3i3−i3−i3i3−i3i3i3−i3000000000000000000
χ704-4-4400−4i4i001-2-11-33-12-223-3−iii−i3i−3i−3i3i00−2i2i0000000000−i3i3i3−i3i3−i3−i3i3−333−3−333−3000000000000000000
χ714-4-4400−4i4i001-2-11-33-12-223-3−iii−i3i−3i−3i3i00−2i2i0000000000i3−i3−i3i3−i3i3i3−i33−3−333−3−33000000000000000000
χ724-4-4400−4i4i0044-4400-4-44-400−4i4i4i−4i0000004i−4i00000000000000000000000000000000000000000000
χ7388-8-88-80000-4244-4-4-4-2-224400000000-220000000000000000000000000000000000000000000000
χ7488-8-8-880000-424444-4-2-22-4-4000000002-20000000000000000000000000000000000000000000000
χ758-88-800008i−8i-42-440042-2-2000000−4i−4i4i4i00002i−2i000000000000000000000000000000000000000000
χ768-88-80000−8i8i-42-440042-2-20000004i4i−4i−4i0000−2i2i000000000000000000000000000000000000000000
χ778-8-88008i−8i00-424-4004-22-200−4i4i4i−4i000000−2i2i00000000000000000000000000000000000000000000
χ788-8-8800−8i8i00-424-4004-22-2004i−4i−4i4i0000002i−2i00000000000000000000000000000000000000000000

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