Finite Group Databasebeta

← Group #11775189

Character table — Group #11775189

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order12222244334666666666612121212661212121212124444444444444444441212121212121212121212121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ91111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1ii−i−iii−i−i11-1-1-1-11-11-1ii−i−iii−i−i11-1-111-1-11i−ii−i
χ101111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1ii−i−iii−i−i11-1-1-1-1-11-11ii−i−iii−i−i-1-111-1-1111−ii−ii
χ111111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1−i−iii−i−iii11-1-1-1-11-11-1−i−iii−i−iii11-1-111-1-11−ii−ii
χ121111-1-11111-111-1-11111-1-11111-1-111-1-1-1-1−i−iii−i−iii11-1-1-1-1-11-11−i−iii−i−iii-1-111-1-1111i−ii−i
χ131111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-111-1-11-1-11ii−i−i−i−iii11-1-1-1-1111i−i−ii
χ141111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-111-1-1-111-1ii−i−i−i−iii-1-11111-1-11−iii−i
χ151111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-111-1-11-1-11−i−iiiii−i−i11-1-1-1-1111−iii−i
χ161111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-111-1-1-111-1−i−iiiii−i−i-1-11111-1-11i−i−ii
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-2000000002222-2-200000000000000000000-20000
χ192222-2-22222-222-2-22222-2-22222-2-222-2-2-2-200000000-2-2222200000000000000000000-20000
χ202222-2-2-2-222222-2-22222-2-2-2-2-2-2-2-2-2-222220000000022-2-22200000000000000000000-20000
χ212-22-2002i−2i2202-200-2-22-2002i2i−2i−2i002i−2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i002-22i−2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000000000
χ222-22-2002i−2i2202-200-2-22-2002i2i−2i−2i002i−2i00001−i−1+i1+i−1−i−1−i1+i−1+i1−i00-22−2i2i00001−i−1+i1+i−1−i−1−i1+i−1+i1−i0000000000000
χ232-22-2002i−2i2202-200-2-22-2002i2i−2i−2i002i−2i0000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00-22−2i2i0000−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000000000000
χ242-22-2002i−2i2202-200-2-22-2002i2i−2i−2i002i−2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i002-22i−2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000000000
χ252-22-200−2i2i2202-200-2-22-200−2i−2i2i2i00−2i2i00001+i−1−i1−i−1+i−1+i1−i−1−i1+i00-222i−2i00001+i−1−i1−i−1+i−1+i1−i−1−i1+i0000000000000
χ262-22-200−2i2i2202-200-2-22-200−2i−2i2i2i00−2i2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i002-2−2i2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000000000
χ272-22-200−2i2i2202-200-2-22-200−2i−2i2i2i00−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i002-2−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000000000
χ282-22-200−2i2i2202-200-2-22-200−2i−2i2i2i00−2i2i0000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00-222i−2i0000−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000000000000
χ29444444441-2411111-2-2-211-2-2-2-2-2-21111-2-2222222220000000000-1-1-1-1-1-1-1-10000000000000
χ30444444441-2411111-2-2-211-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-20000000000111111110000000000000
χ3144444444-214-2-2-2-2-2111-2-2111111-2-2-2-21100000000000000222200000000-1-1-1-1-1-1-1-100000
χ3244444444-214-2-2-2-2-2111-2-2111111-2-2-2-21100000000000000-2-2-2-2000000001111111100000
χ33444444-4-41-2-411111-2-2-2112222-2-2-1-1-1-1222222-2-2-2-20000000000-1-1-1-111110000000000000
χ34444444-4-41-2-411111-2-2-2112222-2-2-1-1-1-122-2-2-2-2222200000000001111-1-1-1-10000000000000
χ35444444-4-4-21-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-10000000000000022-2-200000000-1-1-1-1111100000
χ36444444-4-4-21-4-2-2-2-2-2111-2-2-1-1-1-1112222-1-100000000000000-2-222000000001111-1-1-1-100000
χ374444-4-4441-2-411-1-11-2-2-2-1-1-2-2-2-22211-1-1222i2i−2i−2i2i2i−2i−2i0000000000−i−iii−i−iii0000000000000
χ384444-4-4441-2-411-1-11-2-2-2-1-1-2-2-2-22211-1-122−2i−2i2i2i−2i−2i2i2i0000000000ii−i−iii−i−i0000000000000
χ394444-4-444-21-4-2-222-2111221111-1-1-2-222-1-1000000000000002-22-200000000-1-111-1-11100000
χ404444-4-444-21-4-2-222-2111221111-1-1-2-222-1-100000000000000-22-220000000011-1-111-1-100000
χ414444-4-4-4-41-2411-1-11-2-2-2-1-1222222-1-111-2-22i2i−2i−2i−2i−2i2i2i0000000000−i−iiiii−i−i0000000000000
χ424444-4-4-4-41-2411-1-11-2-2-2-1-1222222-1-111-2-2−2i−2i2i2i2i2i−2i−2i0000000000ii−i−i−i−iii0000000000000
χ434444-4-4-4-4-214-2-222-211122-1-1-1-1-1-122-2-211000000000000002-2-2200000000-1-11111-1-100000
χ444444-4-4-4-4-214-2-222-211122-1-1-1-1-1-122-2-21100000000000000-222-20000000011-1-1-1-11100000
χ4544-4-44-400440-4-44-444-4-44-400004-4000000000000000000000000000000000000000000000
χ4644-4-44-400-21022-22-21-1-1-223-33-31-100003-3000000000000000000000000003−33−33−33−300000
χ4744-4-44-400-21022-22-21-1-1-223-33-31-100003-300000000000000000000000000−33−33−33−3300000
χ4844-4-44-400-21022-22-21-1-1-22-33-331-10000-33000000000000000000000000003−33−3−33−3300000
χ4944-4-44-400-21022-22-21-1-1-22-33-331-10000-3300000000000000000000000000−33−333−33−300000
χ5044-4-4-4400440-4-4-4444-4-4-440000-44000000000000000000000000000000000000000000000
χ5144-4-4-4400-210222-2-21-1-12-23-33-3-110000-33000000000000000000000000003−3−333−3−3300000
χ5244-4-4-4400-210222-2-21-1-12-23-33-3-110000-3300000000000000000000000000−333−3−333−300000
χ5344-4-4-4400-210222-2-21-1-12-2-33-33-1100003-3000000000000000000000000003−3−33−333−300000
χ5444-4-4-4400-210222-2-21-1-12-2-33-33-1100003-300000000000000000000000000−333−33−3−3300000
χ554-44-4004i−4i1-201-13-3-12-22-33−2i−2i2i2i00i−i3i−3i002-22-2−2i2i2i−2i0000000000-11-11i−i−ii0000000000000
χ564-44-4004i−4i1-201-13-3-12-22-33−2i−2i2i2i00i−i3i−3i00-22-222i−2i−2i2i00000000001-11-1−iii−i0000000000000
χ574-44-4004i−4i1-201-1-33-12-223-3−2i−2i2i2i00i−i−3i3i002i−2i−2i2i2-22-20000000000−iii−i-11-110000000000000
χ584-44-4004i−4i1-201-1-33-12-223-3−2i−2i2i2i00i−i−3i3i00−2i2i2i−2i-22-220000000000i−i−ii1-11-10000000000000
χ594-44-400−4i4i1-201-13-3-12-22-332i2i−2i−2i00−ii−3i3i002-22-22i−2i−2i2i0000000000-11-11−iii−i0000000000000
χ604-44-400−4i4i1-201-13-3-12-22-332i2i−2i−2i00−ii−3i3i00-22-22−2i2i2i−2i00000000001-11-1i−i−ii0000000000000
χ614-44-400−4i4i1-201-1-33-12-223-32i2i−2i−2i00−ii3i−3i002i−2i−2i2i-22-220000000000−iii−i1-11-10000000000000
χ624-44-400−4i4i1-201-1-33-12-223-32i2i−2i−2i00−ii3i−3i00−2i2i2i−2i2-22-20000000000i−i−ii-11-110000000000000
χ634-4-440000440-4400-4-4-4400000000000000000000004i−4i00000000000000000000000000000
χ644-4-440000440-4400-4-4-440000000000000000000000−4i4i00000000000000000000000000000
χ6588-8-88-8002-40-2-22-22-4442-20000-44000000000000000000000000000000000000000000000
χ6688-8-8-88002-40-2-2-222-444-2200004-4000000000000000000000000000000000000000000000
χ678-88-8008i−8i-420-44004-22-2002i2i−2i−2i00−4i4i0000000000000000000000000000000000000000000
χ688-88-800−8i8i-420-44004-22-200−2i−2i2i2i004i−4i0000000000000000000000000000000000000000000
χ698-8-8800002-40-2266-244-4-6-6000000000000000000000000000000000000000000000000000
χ708-8-8800002-40-22-6-6-244-466000000000000000000000000000000000000000000000000000
χ718-8-880000-4204-4004-2-22006i−6i−6i6i00000000000000000000000000000000000000000000000
χ728-8-880000-4204-4004-2-2200−6i6i6i−6i00000000000000000000000000000000000000000000000

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