Finite Group Databasebeta

← Group #11775161

Character table — Group #11775161

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order1222224433466666666661212121266121212121212444444444444442244666612121212121212121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-111-1-11111-1-1-1-111-1-1111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-11-1-1111111-1-1-1-1-1-1111-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-111-1-1-1-1-1-1111111-1-11-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-1-111-1-1-1-11111-1-111111-1-1
χ91111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1ii−i−iii−i−i11-1-1-1-11-1-1111-1-1ii−i−iii−i−i-1-1111i−ii−i
χ101111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1ii−i−iii−i−i11-1-1-1-1-111-1-1-111ii−i−iii−i−i11-1-11−ii−ii
χ111111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1−i−iii−i−iii11-1-1-1-11-1-1111-1-1−i−iii−i−iii-1-1111−ii−ii
χ121111-1-11111-111-1-1111-1-111111-1-111-1-1-1-1−i−iii−i−iii11-1-1-1-1-111-1-1-111−i−iii−i−iii11-1-11i−ii−i
χ131111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-111-1-111-1-11111ii−i−i−i−iii-1-1-1-11i−i−ii
χ141111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-111-1-1-1-111-1-1-1-1ii−i−i−i−iii11111−iii−i
χ151111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-111-1-111-1-11111−i−iiiii−i−i-1-1-1-11−iii−i
χ161111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-111-1-1-1-111-1-1-1-1−i−iiiii−i−i11111i−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
χ192222-2-22222-222-2-2222-2-222222-2-222-2-2-2-200000000-2-2222200000000000000000000-20000
χ202222-2-2-2-222222-2-2222-2-22-2-2-2-2-2-2-2-222220000000022-2-22200000000000000000000-20000
χ212-22-2002i−2i2202-2002-2-200-22i2i−2i−2i002i−2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i002-22i−2i000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000000
χ222-22-2002i−2i2202-2002-2-200-22i2i−2i−2i002i−2i00001−i−1+i1+i−1−i−1−i1+i−1+i1−i00-22−2i2i000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i000000000
χ232-22-2002i−2i2202-2002-2-200-22i2i−2i−2i002i−2i0000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00-22−2i2i00000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i000000000
χ242-22-2002i−2i2202-2002-2-200-22i2i−2i−2i002i−2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i002-22i−2i00000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000000
χ252-22-200−2i2i2202-2002-2-200-2−2i−2i2i2i00−2i2i00001+i−1−i1−i−1+i−1+i1−i−1−i1+i00-222i−2i000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i000000000
χ262-22-200−2i2i2202-2002-2-200-2−2i−2i2i2i00−2i2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i002-2−2i2i000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000000
χ272-22-200−2i2i2202-2002-2-200-2−2i−2i2i2i00−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i002-2−2i2i00000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000000
χ282-22-200−2i2i2202-2002-2-200-2−2i−2i2i2i00−2i2i0000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00-222i−2i00000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i000000000
χ29444444441-241111-2-2111-2-2-2-2-2-2-21111-2-22222222200000000000000-1-1-1-1-1-1-1-1000000000
χ30444444441-241111-2-2111-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-20000000000000011111111000000000
χ3144444444-214-2-2-2-211-2-2-21111111-2-2-2-211000000000000002222-1-1-1-100000000-1-1-1-100000
χ3244444444-214-2-2-2-211-2-2-21111111-2-2-2-21100000000000000-2-2-2-2111100000000111100000
χ33444444-4-41-2-41111-2-2111-22222-2-2-1-1-1-1222222-2-2-2-200000000000000-1-1-1-11111000000000
χ34444444-4-41-2-41111-2-2111-22222-2-2-1-1-1-122-2-2-2-22222000000000000001111-1-1-1-1000000000
χ35444444-4-4-21-4-2-2-2-211-2-2-21-1-1-1-1112222-1-1000000000000002-22-2-1-11100000000-1-11100000
χ36444444-4-4-21-4-2-2-2-211-2-2-21-1-1-1-1112222-1-100000000000000-22-2211-1-10000000011-1-100000
χ374444-4-4441-2-411-1-1-2-21-1-1-2-2-2-2-22211-1-1222i2i−2i−2i2i2i−2i−2i00000000000000−i−iii−i−iii000000000
χ384444-4-4441-2-411-1-1-2-21-1-1-2-2-2-2-22211-1-122−2i−2i2i2i−2i−2i2i2i00000000000000ii−i−iii−i−i000000000
χ394444-4-444-21-4-2-22211-22211111-1-1-2-222-1-1000000000000002-2-22-1-1110000000011-1-100000
χ404444-4-444-21-4-2-22211-22211111-1-1-2-222-1-100000000000000-222-211-1-100000000-1-11100000
χ414444-4-4-4-41-2411-1-1-2-21-1-1-2222222-1-111-2-22i2i−2i−2i−2i−2i2i2i00000000000000−i−iiiii−i−i000000000
χ424444-4-4-4-41-2411-1-1-2-21-1-1-2222222-1-111-2-2−2i−2i2i2i2i2i−2i−2i00000000000000ii−i−i−i−iii000000000
χ434444-4-4-4-4-214-2-22211-2221-1-1-1-1-1-122-2-2110000000000000022-2-2-1-1-1-100000000111100000
χ444444-4-4-4-4-214-2-22211-2221-1-1-1-1-1-122-2-21100000000000000-2-222111100000000-1-1-1-100000
χ4544-4-44-400440-4-44-4-4-444-4400004-4000000000000000000000000000000000000000000000
χ4644-4-44-400-21022-22-1-1-2-2213-33-31-100003-3000000000000000000−i3i3−i3i300000000−i3i3−i3i300000
χ4744-4-44-400-21022-22-1-1-2-2213-33-31-100003-3000000000000000000i3−i3i3−i300000000i3−i3i3−i300000
χ4844-4-44-400-21022-22-1-1-2-221-33-331-10000-33000000000000000000−i3i3i3−i300000000−i3i3i3−i300000
χ4944-4-44-400-21022-22-1-1-2-221-33-331-10000-33000000000000000000i3−i3−i3i300000000i3−i3−i3i300000
χ5044-4-4-4400440-4-4-44-4-44-4440000-44000000000000000000000000000000000000000000000
χ5144-4-4-4400-210222-2-1-1-22-213-33-3-110000-33000000000000000000−i3i3i3−i300000000i3−i3−i3i300000
χ5244-4-4-4400-210222-2-1-1-22-213-33-3-110000-33000000000000000000i3−i3−i3i300000000−i3i3i3−i300000
χ5344-4-4-4400-210222-2-1-1-22-21-33-33-1100003-3000000000000000000−i3i3−i3i300000000i3−i3i3−i300000
χ5444-4-4-4400-210222-2-1-1-22-21-33-33-1100003-3000000000000000000i3−i3i3−i300000000−i3i3−i3i300000
χ554-44-4004i−4i1-201-13-3-22-1-332−2i−2i2i2i00i−i3i−3i002-22-2−2i2i2i−2i00000000000000-11-11i−i−ii000000000
χ564-44-4004i−4i1-201-13-3-22-1-332−2i−2i2i2i00i−i3i−3i00-22-222i−2i−2i2i000000000000001-11-1−iii−i000000000
χ574-44-4004i−4i1-201-1-33-22-13-32−2i−2i2i2i00i−i−3i3i002i−2i−2i2i2-22-200000000000000−iii−i-11-11000000000
χ584-44-4004i−4i1-201-1-33-22-13-32−2i−2i2i2i00i−i−3i3i00−2i2i2i−2i-22-2200000000000000i−i−ii1-11-1000000000
χ594-44-400−4i4i1-201-13-3-22-1-3322i2i−2i−2i00−ii−3i3i002-22-22i−2i−2i2i00000000000000-11-11−iii−i000000000
χ604-44-400−4i4i1-201-13-3-22-1-3322i2i−2i−2i00−ii−3i3i00-22-22−2i2i2i−2i000000000000001-11-1i−i−ii000000000
χ614-44-400−4i4i1-201-1-33-22-13-322i2i−2i−2i00−ii3i−3i002i−2i−2i2i-22-2200000000000000−iii−i1-11-1000000000
χ624-44-400−4i4i1-201-1-33-22-13-322i2i−2i−2i00−ii3i−3i00−2i2i2i−2i2-22-200000000000000i−i−ii-11-11000000000
χ634-4-440000440-4400-44-400-4000000000000000000004i−4i00000000000000000000000000000
χ644-4-440000440-4400-44-400-400000000000000000000−4i4i00000000000000000000000000000
χ6588-8-88-8002-40-2-22-24422-2-40000-44000000000000000000000000000000000000000000000
χ6688-8-8-88002-40-2-2-22442-22-400004-4000000000000000000000000000000000000000000000
χ678-88-8008i−8i-420-44002-2400-22i2i−2i−2i00−4i4i0000000000000000000000000000000000000000000
χ688-88-800−8i8i-420-44002-2400-2−2i−2i2i2i004i−4i0000000000000000000000000000000000000000000
χ698-8-8800002-40-22664-4-2-6-64000000000000000000000000000000000000000000000000000
χ708-8-8800002-40-22-6-64-4-2664000000000000000000000000000000000000000000000000000
χ718-8-880000-4204-400-22400-26i−6i−6i6i00000000000000000000000000000000000000000000000
χ728-8-880000-4204-400-22400-2−6i6i6i−6i00000000000000000000000000000000000000000000000

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