Finite Group Databasebeta

← Group #11775188

Character table — Group #11775188

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222244444444444444444444888888121212121212121212121212121212121212121212121212181818182424242436364848484872727272
order12222244443366666666661212121212121212661212121244444444121212121212121212121212121212124444444444121212128888
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
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-1-111-11-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11-11-11-11-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111-11-1-111-11-1-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-11-11-11-11-1111-1-1
χ91111-1-111-1-111111-1-111-1-111111-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11-1-11-11-111-1i−ii−i
χ101111-1-111-1-111111-1-111-1-111111-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-111-1-111-1-11−ii−ii
χ111111-1-111-1-111111-1-111-1-111111-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-11-1-11-11-111-1−ii−ii
χ121111-1-111-1-111111-1-111-1-111111-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-111-1-111-1-11i−ii−i
χ131111-1-1-1-11111111-1-111-1-11-1-1-1-11111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-111-1-111i−i−ii
χ141111-1-1-1-11111111-1-111-1-11-1-1-1-11111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1111111-1-1−iii−i
χ151111-1-1-1-11111111-1-111-1-11-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-111-1-111−iii−i
χ161111-1-1-1-11111111-1-111-1-11-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1111111-1-1i−i−ii
χ17222222222222222222222222222222222222000000000000000000000000-2-2-2-20000-2-200000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000022-2-200002-200000000
χ192222-2-222-2-222222-2-222-2-222222-2-2-2-2-2-222-2-2000000000000000000000000-2-22200002-200000000
χ202222-2-2-2-22222222-2-222-2-22-2-2-2-22222-2-2-2-22200000000000000000000000022220000-2-200000000
χ2122-2-200002-222-2-2-2002-2002000022-2-200002-21+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−i2i−2i2i−2i00000000000000
χ2222-2-200002-222-2-2-2002-2002000022-2-200002-21−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+i−2i2i−2i2i00000000000000
χ2322-2-200002-222-2-2-2002-2002000022-2-200002-2−1+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−i−2i2i−2i2i00000000000000
χ2422-2-200002-222-2-2-2002-2002000022-2-200002-2−1−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+i2i−2i2i−2i00000000000000
χ2522-2-20000-2222-2-2-2002-20020000-2-2220000-221+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−2i2i2i−2i00000000000000
χ2622-2-20000-2222-2-2-2002-20020000-2-2220000-221−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−i2i−2i−2i2i00000000000000
χ2722-2-20000-2222-2-2-2002-20020000-2-2220000-22−1+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+i2i−2i−2i2i00000000000000
χ2822-2-20000-2222-2-2-2002-20020000-2-2220000-22−1−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−2i2i2i−2i00000000000000
χ2944444444441-211-2111-211-211111111-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3044444444441-211-2111-211-211111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111000000000000000000
χ314444444444-21-2-21-2-2-21-2-21-2-2-2-2-2-2-2-21111110000000000000000000000000000222200-1-1-1-10000
χ324444444444-21-2-21-2-2-21-2-21-2-2-2-2-2-2-2-21111110000000000000000000000000000-2-2-2-20011110000
χ33444444-4-4-4-41-211-2111-211-2-1-1-1-1-1-1-1-1-2-222222222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000
χ34444444-4-4-4-41-211-2111-211-2-1-1-1-1-1-1-1-1-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000
χ35444444-4-4-4-4-21-2-21-2-2-21-2-212222222211-1-1-1-100000000000000000000000000002-22-200-11-110000
χ36444444-4-4-4-4-21-2-21-2-2-21-2-212222222211-1-1-1-10000000000000000000000000000-22-22001-11-10000
χ374444-4-444-4-41-211-2-1-11-2-1-1-21111-1-1-1-122-2-2222i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000
χ384444-4-444-4-41-211-2-1-11-2-1-1-21111-1-1-1-122-2-222−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000
χ394444-4-444-4-4-21-2-2122-21221-2-2-2-22222-1-111-1-100000000000000000000000000002-2-22001-1-110000
χ404444-4-444-4-4-21-2-2122-21221-2-2-2-22222-1-111-1-10000000000000000000000000000-222-200-111-10000
χ414444-4-4-4-4441-211-2-1-11-2-1-1-2-1-1-1-111112222-2-22i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000
χ424444-4-4-4-4441-211-2-1-11-2-1-1-2-1-1-1-111112222-2-2−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000
χ434444-4-4-4-444-21-2-2122-212212222-2-2-2-2-1-1-1-111000000000000000000000000000022-2-20011-1-10000
χ444444-4-4-4-444-21-2-2122-212212222-2-2-2-2-1-1-1-1110000000000000000000000000000-2-22200-1-1110000
χ4544-4-400004-41-2-1-123312-3-3-233-3-311-1-10000-222-22-22-22-2-1-111-1-111-1-111-1-111000000000000000000
χ4644-4-400004-41-2-1-123312-3-3-233-3-311-1-10000-22-22-22-22-2211-1-111-1-111-1-111-1-1000000000000000000
χ4744-4-400004-41-2-1-12-3-31233-2-3-33311-1-10000-222i−2i−2i2i−2i2i2i−2i−i−iiiii−i−iii−i−i−i−iii000000000000000000
χ4844-4-400004-41-2-1-12-3-31233-2-3-33311-1-10000-22−2i2i2i−2i2i−2i−2i2iii−i−i−i−iii−i−iiiii−i−i000000000000000000
χ4944-4-40000-441-2-1-123312-3-3-2-3-333-1-11100002-22-22-2-22-22-1-111-1-11111-1-111-1-1000000000000000000
χ5044-4-40000-441-2-1-123312-3-3-2-3-333-1-11100002-2-22-222-22-211-1-111-1-1-1-111-1-111000000000000000000
χ5144-4-40000-441-2-1-12-3-31233-233-3-3-1-11100002-22i−2i−2i2i2i−2i−2i2i−i−iiiii−i−i−i−iiiii−i−i000000000000000000
χ5244-4-40000-441-2-1-12-3-31233-233-3-3-1-11100002-2−2i2i2i−2i−2i2i2i−2iii−i−i−i−iiiii−i−i−i−iii000000000000000000
χ534-44-44-400001-21-1-21-1-121-123i−3i3i−3i3i−3i3i−3i2-2000000000000−i3i3−i3i3−i3i3−i3i33−33−33−33−3000000000000000000
χ544-44-44-400001-21-1-21-1-121-123i−3i3i−3i3i−3i3i−3i2-2000000000000i3−i3i3−i3i3−i3i3−i3−33−33−33−33000000000000000000
χ554-44-44-400001-21-1-21-1-121-12−3i3i−3i3i−3i3i−3i3i2-2000000000000−i3i3−i3i3−i3i3−i3i3−33−33−33−33000000000000000000
χ564-44-44-400001-21-1-21-1-121-12−3i3i−3i3i−3i3i−3i3i2-2000000000000i3−i3i3−i3i3−i3i3−i33−33−33−33−3000000000000000000
χ574-44-44-40000444-444-4-4-44-4-400000000-440000000000000000000000000000000000000000000000
χ584-44-4-4400001-21-1-2-11-12-1123i−3i3i−3i−3i3i−3i3i-220000000000003−33−3−33−33i3−i3i3−i3−i3i3−i3i3000000000000000000
χ594-44-4-4400001-21-1-2-11-12-1123i−3i3i−3i−3i3i−3i3i-22000000000000−33−333−33−3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ604-44-4-4400001-21-1-2-11-12-112−3i3i−3i3i3i−3i3i−3i-220000000000003−33−3−33−33−i3i3−i3i3i3−i3i3−i3000000000000000000
χ614-44-4-4400001-21-1-2-11-12-112−3i3i−3i3i3i−3i3i−3i-22000000000000−33−333−33−3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ624-44-4-440000444-44-44-4-4-44-4000000004-40000000000000000000000000000000000000000000000
χ634-4-44004i−4i001-2-1123-3-1-2-332i−i−ii3i−3i−3i3i002i−2i0000000000−i3i3i3−i3−i3i3i3−i33−3−333−3−33000000000000000000
χ644-4-44004i−4i001-2-1123-3-1-2-332i−i−ii3i−3i−3i3i002i−2i0000000000i3−i3−i3i3i3−i3−i3i3−333−3−333−3000000000000000000
χ654-4-44004i−4i001-2-112-33-1-23-32i−i−ii−3i3i3i−3i002i−2i00000000003−3−33−333−3i3−i3−i3i3−i3i3i3−i3000000000000000000
χ664-4-44004i−4i001-2-112-33-1-23-32i−i−ii−3i3i3i−3i002i−2i0000000000−333−33−3−33−i3i3i3−i3i3−i3−i3i3000000000000000000
χ674-4-44004i−4i0044-44-400-4400-44i−4i−4i4i000000−4i4i00000000000000000000000000000000000000000000
χ684-4-4400−4i4i001-2-1123-3-1-2-332−iii−i−3i3i3i−3i00−2i2i0000000000−i3i3i3−i3−i3i3i3−i3−333−3−333−3000000000000000000
χ694-4-4400−4i4i001-2-1123-3-1-2-332−iii−i−3i3i3i−3i00−2i2i0000000000i3−i3−i3i3i3−i3−i3i33−3−333−3−33000000000000000000
χ704-4-4400−4i4i001-2-112-33-1-23-32−iii−i3i−3i−3i3i00−2i2i00000000003−3−33−333−3−i3i3i3−i3i3−i3−i3i3000000000000000000
χ714-4-4400−4i4i001-2-112-33-1-23-32−iii−i3i−3i−3i3i00−2i2i0000000000−333−33−3−33i3−i3−i3i3−i3i3i3−i3000000000000000000
χ724-4-4400−4i4i0044-44-400-4400-4−4i4i4i−4i0000004i−4i00000000000000000000000000000000000000000000
χ7388-8-800008-8-4244-200-4-20020000-4-44400002-2000000000000000000000000000000000000000000
χ7488-8-80000-88-4244-200-4-2002000044-4-40000-22000000000000000000000000000000000000000000
χ758-88-88-80000-42-442-444-2-44-200000000-220000000000000000000000000000000000000000000000
χ768-88-8-880000-42-4424-44-24-4-2000000002-20000000000000000000000000000000000000000000000
χ778-8-88008i−8i00-424-4-2004200-2−4i4i4i−4i000000−2i2i00000000000000000000000000000000000000000000
χ788-8-8800−8i8i00-424-4-2004200-24i−4i−4i4i0000002i−2i00000000000000000000000000000000000000000000

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