Finite Group Databasebeta

← Group #11787227

Character table — Group #11787227

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order12224444233466666612121212121212126666121212128888888822224444244466121212121212242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-111-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ611111111-111-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ711111111-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ811111111-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-1-1-1111111-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-1-1-11111-1-111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-1-1-1111111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-1-1-11111-1-111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii11-1-111-1-11-11-111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii11-1-111-1-1-11-11-1-111-1-111ii−i−i−i−iii−i−iiiii−i−i
χ151111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i11-1-111-1-11-11-111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ161111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i11-1-111-1-1-11-11-1-111-1-111−i−iiiii−i−iii−i−i−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222222-222-222222222222222-2-2-2-2-2-2-2-20000000022-2-2-2-2220000000000000000000000000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-2000000002222-2-2-2-20000000000000000000000000000
χ202222-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-222-2-2220000000000000000000000000000
χ2122-2-22i−2i2i−2i02202-2-22-2-22i−2i2i2i−2i−2i2i−2i00000000000000002-200002i−2i000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i
χ2222-2-22i−2i2i−2i02202-2-22-2-22i−2i2i2i−2i−2i2i−2i00000000000000002-200002i−2i00000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i
χ2322-2-22i−2i2i−2i02202-2-22-2-22i−2i2i2i−2i−2i2i−2i0000000000000000-220000−2i2i000000000000000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i
χ2422-2-22i−2i2i−2i02202-2-22-2-22i−2i2i2i−2i−2i2i−2i0000000000000000-220000−2i2i00000000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i
χ2522-2-2−2i2i−2i2i02202-2-22-2-2−2i2i−2i−2i2i2i−2i2i00000000000000002-20000−2i2i000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i
χ2622-2-2−2i2i−2i2i02202-2-22-2-2−2i2i−2i−2i2i2i−2i2i00000000000000002-20000−2i2i00000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i
χ2722-2-2−2i2i−2i2i02202-2-22-2-2−2i2i−2i−2i2i2i−2i2i0000000000000000-2200002i−2i000000000000000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i
χ2822-2-2−2i2i−2i2i02202-2-22-2-2−2i2i−2i−2i2i2i−2i2i0000000000000000-2200002i−2i00000000000000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i
χ292-2-2222-2-20220-2-22-2-22222-22-2-2-20000000000002i−2i2i−2i002-22-20000000000000000002i−2i2i−2i00000000
χ302-2-2222-2-20220-2-22-2-22222-22-2-2-2000000000000−2i2i−2i2i002-22-2000000000000000000−2i2i−2i2i00000000
χ312-2-2222-2-20220-2-22-2-22222-22-2-2-2000000002i−2i2i−2i000000-22-22000000000000002i−2i2i−2i000000000000
χ322-2-2222-2-20220-2-22-2-22222-22-2-2-200000000−2i2i−2i2i000000-22-2200000000000000−2i2i−2i2i000000000000
χ332-2-22-2-2220220-2-22-2-22-2-2-22-22220000000000002-2-2200-222-20000000000000000002-2-2200000000
χ342-2-22-2-2220220-2-22-2-22-2-2-22-2222000000000000-222-200-222-2000000000000000000-222-200000000
χ352-2-22-2-2220220-2-22-2-22-2-2-22-2222000000002-2-220000002-2-22000000000000002-2-22000000000000
χ362-2-22-2-2220220-2-22-2-22-2-2-22-222200000000-222-20000002-2-2200000000000000-222-2000000000000
χ374444444441-24111-2-2-211-2-2-2-21111-2-211-2-22222222200000000000000000000-1-1-1-1-1-1-1-100000000
χ384444444441-24111-2-2-211-2-2-2-21111-2-211-2-2-2-2-2-2-2-2-2-2000000000000000000001111111100000000
χ39444444444-214-2-2-2111-2-21111-2-2-2-211-2-21100000000000000002222-1-1-1-1-1-1-1-10000000000000000
χ40444444444-214-2-2-2111-2-21111-2-2-2-211-2-2110000000000000000-2-2-2-2111111110000000000000000
χ4144444444-41-2-4111-2-2-211-2-2-2-211-1-122-1-1222222-2-2-2-200000000000000000000-1-1-1-1111100000000
χ4244444444-41-2-4111-2-2-211-2-2-2-211-1-122-1-122-2-2-2-22222000000000000000000001111-1-1-1-100000000
χ4344444444-4-21-4-2-2-2111-2-21111-2-222-1-122-1-100000000000000002-2-22-1-11111-1-10000000000000000
χ4444444444-4-21-4-2-2-2111-2-21111-2-222-1-122-1-10000000000000000-222-211-1-1-1-1110000000000000000
χ454444-4-4-4-441-2-4111-2-2-2-1-12222-1-111-2-2-1-1222i2i−2i−2i2i2i−2i−2i00000000000000000000−i−iii−i−iii00000000
χ464444-4-4-4-441-2-4111-2-2-2-1-12222-1-111-2-2-1-122−2i−2i2i2i−2i−2i2i2i00000000000000000000ii−i−iii−i−i00000000
χ474444-4-4-4-44-21-4-2-2-211122-1-1-1-122-2-21122-1-1000000000000000022-2-2-1-1-1-111110000000000000000
χ484444-4-4-4-44-21-4-2-2-211122-1-1-1-122-2-21122-1-10000000000000000-2-2221111-1-1-1-10000000000000000
χ494444-4-4-4-4-41-24111-2-2-2-1-12222-1-1-1-12211-2-22i2i−2i−2i−2i−2i2i2i00000000000000000000−i−iiiii−i−i00000000
χ504444-4-4-4-4-41-24111-2-2-2-1-12222-1-1-1-12211-2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000ii−i−i−i−iii00000000
χ514444-4-4-4-4-4-214-2-2-211122-1-1-1-12222-1-1-2-21100000000000000002-22-2-1-111-1-1110000000000000000
χ524444-4-4-4-4-4-214-2-2-211122-1-1-1-12222-1-1-2-2110000000000000000-22-2211-1-111-1-10000000000000000
χ534-44-44i−4i−4i4i0440-44-4-44-44i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ544-44-44i−4i−4i4i0-2102-22-11-1−2i2ii−i−ii2i−2i003-3003i−3i00000000000000000000−i3i3−i3i33−33−30000000000000000
χ554-44-44i−4i−4i4i0-2102-22-11-1−2i2ii−i−ii2i−2i003-3003i−3i00000000000000000000i3−i3i3−i3−33−330000000000000000
χ564-44-44i−4i−4i4i0-2102-22-11-1−2i2ii−i−ii2i−2i00-3300−3i3i00000000000000000000−i3i3i3−i3−333−30000000000000000
χ574-44-44i−4i−4i4i0-2102-22-11-1−2i2ii−i−ii2i−2i00-3300−3i3i00000000000000000000i3−i3−i3i33−3−330000000000000000
χ584-44-4−4i4i4i−4i0440-44-4-44-4−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ594-44-4−4i4i4i−4i0-2102-22-11-12i−2i−iii−i−2i2i003-300−3i3i00000000000000000000−i3i3−i3i3−33−330000000000000000
χ604-44-4−4i4i4i−4i0-2102-22-11-12i−2i−iii−i−2i2i003-300−3i3i00000000000000000000i3−i3i3−i33−33−30000000000000000
χ614-44-4−4i4i4i−4i0-2102-22-11-12i−2i−iii−i−2i2i00-33003i−3i00000000000000000000−i3i3i3−i33−3−330000000000000000
χ624-44-4−4i4i4i−4i0-2102-22-11-12i−2i−iii−i−2i2i00-33003i−3i00000000000000000000i3−i3−i3i3−333−30000000000000000
χ634-4-4444-4-401-20-1-1122-211-22-22-1-13-3003-3002i−2i2i−2i2i−2i2i−2i00000000000000000000−ii−ii−ii−ii00000000
χ644-4-4444-4-401-20-1-1122-211-22-22-1-13-3003-300−2i2i−2i2i−2i2i−2i2i00000000000000000000i−ii−ii−ii−i00000000
χ654-4-4444-4-401-20-1-1122-211-22-22-1-1-3300-33002i−2i2i−2i−2i2i−2i2i00000000000000000000−ii−iii−ii−i00000000
χ664-4-4444-4-401-20-1-1122-211-22-22-1-1-3300-3300−2i2i−2i2i2i−2i2i−2i00000000000000000000i−ii−i−ii−ii00000000
χ674-4-44-4-44401-20-1-1122-2-1-12-22-2113-300-33002-2-222-2-2200000000000000000000-111-1-111-100000000
χ684-4-44-4-44401-20-1-1122-2-1-12-22-2113-300-3300-222-2-222-2000000000000000000001-1-111-1-1100000000
χ694-4-44-4-44401-20-1-1122-2-1-12-22-211-33003-3002-2-22-222-200000000000000000000-111-11-1-1100000000
χ704-4-44-4-44401-20-1-1122-2-1-12-22-211-33003-300-222-22-2-22000000000000000000001-1-11-111-100000000
χ7188-8-88i−8i8i−8i02-402-2-2-4442i−2i−4i−4i4i4i2i−2i0000000000000000000000000000000000000000000000000000
χ7288-8-88i−8i8i−8i0-420-4442-2-2−4i4i2i2i−2i−2i−4i4i0000000000000000000000000000000000000000000000000000
χ7388-8-8−8i8i−8i8i02-402-2-2-444−2i2i4i4i−4i−4i−2i2i0000000000000000000000000000000000000000000000000000
χ7488-8-8−8i8i−8i8i0-420-4442-2-24i−4i−2i−2i2i2i4i−4i0000000000000000000000000000000000000000000000000000
χ758-88-88i−8i−8i8i02-40-22-24-442i−2i−4i4i4i−4i−2i2i0000000000000000000000000000000000000000000000000000
χ768-88-8−8i8i8i−8i02-40-22-24-44−2i2i4i−4i−4i4i2i−2i0000000000000000000000000000000000000000000000000000
χ778-8-8888-8-80-42044-4-2-22-4-42-22-2440000000000000000000000000000000000000000000000000000
χ788-8-88-8-8880-42044-4-2-2244-22-22-4-40000000000000000000000000000000000000000000000000000

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