Finite Group Databasebeta

← Group #11775886

Character table — Group #11775886

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order1222444433466666612121212121212121212121212121212888888882244442244666612121212242424242424242448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-11-11-111-1-111-1-1iiii−i−i−i−i1ii−i−i
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-1-11-11-1-111-1-111iiii−i−i−i−i1−i−iii
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-11-11-111-1-111-1-1−i−i−i−iiiii1−i−iii
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-1-11-11-1-111-1-111−i−i−i−iiiii1ii−i−i
χ91111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-111-1-111-11-1
χ101111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-111-1-1-11111-1-111-1-111-1-11-11-11
χ111111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111-1-1111-1-1-1-111-1-111-1-1111-11-11
χ121111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-111-111-1-1-11111-1-1-1-111-1-11111-11-1
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-111-1-111-1-11111-1-1-1-1ii−i−i−i−iii1i−i−ii
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-111-1-1-1-111-1-1-1-11111ii−i−i−i−iii1−iii−i
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-111-1-111-1-11111-1-1-1-1−i−iiiii−i−i1−iii−i
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-111-1-1-1-111-1-1-1-11111−i−iiiii−i−i1i−i−ii
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-200000000-2-2222200000000000000000000-20000
χ192222-2-22222-2222222-2-2-2-22222-2-222-2-2-2-2000000002222-2-200000000000000000000-20000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000022-2-22200000000000000000000-20000
χ2122-2-22i−2i002202-2-22-2-22i2i−2i−2i00002i−2i0000001+i−1−i1−i−1+i1−i−1+i1+i−1−i002-22i−2i0000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000
χ2222-2-22i−2i002202-2-22-2-22i2i−2i−2i00002i−2i0000001−i−1+i−1−i1+i1+i−1−i−1+i1−i00-22−2i2i0000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i00000
χ2322-2-22i−2i002202-2-22-2-22i2i−2i−2i00002i−2i000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i00-22−2i2i000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i00000
χ2422-2-22i−2i002202-2-22-2-22i2i−2i−2i00002i−2i000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i002-22i−2i000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000
χ2522-2-2−2i2i002202-2-22-2-2−2i−2i2i2i0000−2i2i0000001+i−1−i−1+i1−i1−i−1+i−1−i1+i00-222i−2i0000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i00000
χ2622-2-2−2i2i002202-2-22-2-2−2i−2i2i2i0000−2i2i0000001−i−1+i1+i−1−i1+i−1−i1−i−1+i002-2−2i2i0000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000
χ2722-2-2−2i2i002202-2-22-2-2−2i−2i2i2i0000−2i2i000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i002-2−2i2i000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000
χ2822-2-2−2i2i002202-2-22-2-2−2i−2i2i2i0000−2i2i000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i00-222i−2i000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i00000
χ29444444441-24111-2-2-2-2-2-2-2111111-2-211-2-222222222000000000000000000-1-1-1-1-1-1-1-100000
χ30444444441-24111-2-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-2-2-20000000000000000001111111100000
χ3144444444-214-2-2-21111111-2-2-2-2-2-211-2-211000000000000002222-1-1-1-1-1-1-1-10000000000000
χ3244444444-214-2-2-21111111-2-2-2-2-2-211-2-21100000000000000-2-2-2-2111111110000000000000
χ33444444-4-41-2-4111-2-2-2-2-2-2-2-1-1-1-11122-1-1222i2i2i2i−2i−2i−2i−2i000000000000000000−i−i−i−iiiii00000
χ34444444-4-41-2-4111-2-2-2-2-2-2-2-1-1-1-11122-1-122−2i−2i−2i−2i2i2i2i2i000000000000000000iiii−i−i−i−i00000
χ35444444-4-4-21-4-2-2-211111112222-2-2-1-122-1-1000000000000002-22-2-1-111-1-1110000000000000
χ36444444-4-4-21-4-2-2-211111112222-2-2-1-122-1-100000000000000-22-2211-1-111-1-10000000000000
χ374444-4-4441-2-4111-2-2-222221111-1-1-2-2-1-12222-2-222-2-2000000000000000000-1-111-1-11100000
χ384444-4-4441-2-4111-2-2-222221111-1-1-2-2-1-122-2-222-2-22200000000000000000011-1-111-1-100000
χ394444-4-444-21-4-2-2-2111-1-1-1-1-2-2-2-2221122-1-1000000000000002-2-22-1-11111-1-10000000000000
χ404444-4-444-21-4-2-2-2111-1-1-1-1-2-2-2-2221122-1-100000000000000-222-211-1-1-1-1110000000000000
χ414444-4-4-4-41-24111-2-2-22222-1-1-1-1-1-12211-2-22i2i−2i−2i−2i−2i2i2i000000000000000000−i−iiiii−i−i00000
χ424444-4-4-4-41-24111-2-2-22222-1-1-1-1-1-12211-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000ii−i−i−i−iii00000
χ434444-4-4-4-4-214-2-2-2111-1-1-1-1222222-1-1-2-2110000000000000022-2-2-1-1-1-111110000000000000
χ444444-4-4-4-4-214-2-2-2111-1-1-1-1222222-1-1-2-21100000000000000-2-2221111-1-1-1-10000000000000
χ4544-4-44i−4i001-201-1-1-222−2i−2i2i2i33-3-3i−i003i−3i002-2−2i2i2-22i−2i000000000000000000-11i−i-11−ii00000
χ4644-4-44i−4i001-201-1-1-222−2i−2i2i2i33-3-3i−i003i−3i00-222i−2i-22−2i2i0000000000000000001-1−ii1-1i−i00000
χ4744-4-44i−4i001-201-1-1-222−2i−2i2i2i-3-333i−i00−3i3i002i−2i2-2−2i2i2-2000000000000000000−ii-11i−i-1100000
χ4844-4-44i−4i001-201-1-1-222−2i−2i2i2i-3-333i−i00−3i3i00−2i2i-222i−2i-22000000000000000000i−i1-1−ii1-100000
χ4944-4-4−4i4i001-201-1-1-2222i2i−2i−2i33-3-3−ii00−3i3i002-22i−2i2-2−2i2i000000000000000000-11−ii-11i−i00000
χ5044-4-4−4i4i001-201-1-1-2222i2i−2i−2i33-3-3−ii00−3i3i00-22−2i2i-222i−2i0000000000000000001-1i−i1-1−ii00000
χ5144-4-4−4i4i001-201-1-1-2222i2i−2i−2i-3-333−ii003i−3i002i−2i-22−2i2i-22000000000000000000−ii1-1i−i1-100000
χ5244-4-4−4i4i001-201-1-1-2222i2i−2i−2i-3-333−ii003i−3i00−2i2i2-22i−2i2-2000000000000000000i−i-11−ii-1100000
χ534-44-4004i−4i440-44-4-44-400004i−4i4i−4i004i−4i0000000000000000000000000000000000000000000
χ544-44-4004i−4i-2102-22-11-13i−3i3i−3i−2i2i−2i2i00i−i003-3000000000000000000−i3i3−i3i33−33−30000000000000
χ554-44-4004i−4i-2102-22-11-13i−3i3i−3i−2i2i−2i2i00i−i003-3000000000000000000i3−i3i3−i3−33−330000000000000
χ564-44-4004i−4i-2102-22-11-1−3i3i−3i3i−2i2i−2i2i00i−i00-33000000000000000000−i3i3i3−i3−333−30000000000000
χ574-44-4004i−4i-2102-22-11-1−3i3i−3i3i−2i2i−2i2i00i−i00-33000000000000000000i3−i3−i3i33−3−330000000000000
χ584-44-400−4i4i440-44-4-44-40000−4i4i−4i4i00−4i4i0000000000000000000000000000000000000000000
χ594-44-400−4i4i-2102-22-11-13i−3i3i−3i2i−2i2i−2i00−ii00-33000000000000000000−i3i3i3−i33−3−330000000000000
χ604-44-400−4i4i-2102-22-11-13i−3i3i−3i2i−2i2i−2i00−ii00-33000000000000000000i3−i3−i3i3−333−30000000000000
χ614-44-400−4i4i-2102-22-11-1−3i3i−3i3i2i−2i2i−2i00−ii003-3000000000000000000−i3i3−i3i3−33−330000000000000
χ624-44-400−4i4i-2102-22-11-1−3i3i−3i3i2i−2i2i−2i00−ii003-3000000000000000000i3−i3i3−i33−33−30000000000000
χ634-4-440000440-4-44-4-440000000000000000000000004-400000000000000000000000000000
χ644-4-440000440-4-44-4-44000000000000000000000000-4400000000000000000000000000000
χ6588-8-88i−8i00-420-4442-2-22i2i−2i−2i0000−4i4i000000000000000000000000000000000000000000000
χ6688-8-8−8i8i00-420-4442-2-2−2i−2i2i2i00004i−4i000000000000000000000000000000000000000000000
χ678-88-8008i−8i2-40-22-24-4400002i−2i2i−2i00−4i4i0000000000000000000000000000000000000000000
χ688-88-800−8i8i2-40-22-24-440000−2i2i−2i2i004i−4i0000000000000000000000000000000000000000000
χ698-8-8800002-40-2-2244-400006i−6i−6i6i00000000000000000000000000000000000000000000000
χ708-8-8800002-40-2-2244-40000−6i6i6i−6i00000000000000000000000000000000000000000000000
χ718-8-880000-42044-4-2-226-6-66000000000000000000000000000000000000000000000000000
χ728-8-880000-42044-4-2-22-666-6000000000000000000000000000000000000000000000000000

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