Finite Group Databasebeta

← Group #11868773

Character table — Group #11868773

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order12224444334666666121212121212121212121212121212124444444422444444441212121212121212121212121212121248888
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-111-11-11111-1-1-1-11111-1-1-1-1-111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-11-11-111111-1-1-1-1-1-1-1-11111-1-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-11-1-1-1-1-111111111-1-1-1-1-1-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-11-11-11-1-1-1-11111-1-1-1-11111-111-1-1
χ91111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-11-1-111-1-1111-1-111-1-111-1-111-1-111-11-1
χ101111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-11-1-11-111-111-1-111-1-1-1-111-1-1111-11-11
χ111111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-11-1-111-1-11-1-111-1-11111-1-111-1-11-11-11
χ121111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-11-1-11-111-1-1-111-1-111-1-111-1-11111-11-1
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-111-11-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-111-1
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-11-1-11
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-200000000-2-2-222-20000000000000000000020000
χ192222-2-22222-2222222-2-2-2-22222-2-222-2-2-2-20000000022-222-200000000000000000000-20000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000022-2-2-2-20000000000000000000020000
χ2122-2-22-2002202-22-2-2-222-2-200002-200000000002i−2i2i−2i2-2-2002000000002i−2i2i−2i0000000000000
χ2222-2-22-2002202-22-2-2-222-2-200002-20000000000−2i2i−2i2i2-2-200200000000−2i2i−2i2i0000000000000
χ2322-2-22-2002202-22-2-2-222-2-200002-20000002-22-20000-22200-200002-22-200000000000000000
χ2422-2-22-2002202-22-2-2-222-2-200002-2000000-22-220000-22200-20000-22-2200000000000000000
χ2522-2-2-22002202-22-2-2-2-2-2220000-2200000000002i−2i−2i2i-22-2002000000002i−2i−2i2i0000000000000
χ2622-2-2-22002202-22-2-2-2-2-2220000-220000000000−2i2i2i−2i-22-200200000000−2i2i2i−2i0000000000000
χ2722-2-2-22002202-22-2-2-2-2-2220000-220000002-2-2200002-2200-200002-2-2200000000000000000
χ2822-2-2-22002202-22-2-2-2-2-2220000-22000000-222-200002-2200-20000-222-200000000000000000
χ29444444441-241-2-211-21111-2-2-2-2-2-21111-2-200000000000000222200000000-1-1-1-1-1-1-1-100000
χ30444444441-241-2-211-21111-2-2-2-2-2-21111-2-200000000000000-2-2-2-2000000001111111100000
χ3144444444-214-211-2-21-2-2-2-2111111-2-2-2-211222222220000000000-1-1-1-1-1-1-1-10000000000000
χ3244444444-214-211-2-21-2-2-2-2111111-2-2-2-211-2-2-2-2-2-2-2-20000000000111111110000000000000
χ33444444-4-41-2-41-2-211-211112222-2-2-1-1-1-122000000000000002-22-200000000-1-1-1-1111100000
χ34444444-4-41-2-41-2-211-211112222-2-2-1-1-1-12200000000000000-22-22000000001111-1-1-1-100000
χ35444444-4-4-21-4-211-2-21-2-2-2-2-1-1-1-1112222-1-12222-2-2-2-20000000000-1-1-1-111110000000000000
χ36444444-4-4-21-4-211-2-21-2-2-2-2-1-1-1-1112222-1-1-2-2-2-2222200000000001111-1-1-1-10000000000000
χ374444-4-4441-2-41-2-211-2-1-1-1-1-2-2-2-22211-1-122000000000000002-2-2200000000-1-111-1-11100000
χ384444-4-4441-2-41-2-211-2-1-1-1-1-2-2-2-22211-1-12200000000000000-222-20000000011-1-111-1-100000
χ394444-4-444-21-4-211-2-2122221111-1-1-2-222-1-122-2-222-2-20000000000-1-111-1-1110000000000000
χ404444-4-444-21-4-211-2-2122221111-1-1-2-222-1-1-2-222-2-222000000000011-1-111-1-10000000000000
χ414444-4-4-4-41-241-2-211-2-1-1-1-1222222-1-111-2-20000000000000022-2-200000000-1-11111-1-100000
χ424444-4-4-4-41-241-2-211-2-1-1-1-1222222-1-111-2-200000000000000-2-2220000000011-1-1-1-11100000
χ434444-4-4-4-4-214-211-2-212222-1-1-1-1-1-122-2-21122-2-2-2-2220000000000-1-11111-1-10000000000000
χ444444-4-4-4-4-214-211-2-212222-1-1-1-1-1-122-2-211-2-22222-2-2000000000011-1-1-1-1110000000000000
χ4544-4-44-400-210-2-1122-1-2-2223i3i−3i−3i1-100003i−3i2-22-22i−2i2i−2i0000000000-11-11−ii−ii0000000000000
χ4644-4-44-400-210-2-1122-1-2-2223i3i−3i−3i1-100003i−3i-22-22−2i2i−2i2i00000000001-11-1i−ii−i0000000000000
χ4744-4-44-400-210-2-1122-1-2-222−3i−3i3i3i1-10000−3i3i2-22-2−2i2i−2i2i0000000000-11-11i−ii−i0000000000000
χ4844-4-44-400-210-2-1122-1-2-222−3i−3i3i3i1-10000−3i3i-22-222i−2i2i−2i00000000001-11-1−ii−ii0000000000000
χ4944-4-4-4400-210-2-1122-122-2-23i3i−3i−3i-110000−3i3i2-2-222i−2i−2i2i0000000000-111-1−iii−i0000000000000
χ5044-4-4-4400-210-2-1122-122-2-23i3i−3i−3i-110000−3i3i-222-2−2i2i2i−2i00000000001-1-11i−i−ii0000000000000
χ5144-4-4-4400-210-2-1122-122-2-2−3i−3i3i3i-1100003i−3i2-2-22−2i2i2i−2i0000000000-111-1i−i−ii0000000000000
χ5244-4-4-4400-210-2-1122-122-2-2−3i−3i3i3i-1100003i−3i-222-22i−2i−2i2i00000000001-1-11−iii−i0000000000000
χ534-44-40000440-44-44-4-40000000000000000000000000004-400000000000000000000000000
χ544-44-40000440-44-44-4-4000000000000000000000000000-4400000000000000000000000000
χ554-4-44004i−4i1-20-122-11-23i−3i3i−3i2i−2i2i−2i00i−i3-300000000000000000000000000003−3−i3i3−i3i33−300000
χ564-4-44004i−4i1-20-122-11-23i−3i3i−3i2i−2i2i−2i00i−i3-30000000000000000000000000000−33i3−i3i3−i3−3300000
χ574-4-44004i−4i1-20-122-11-2−3i3i−3i3i2i−2i2i−2i00i−i-3300000000000000000000000000003−3i3−i3−i3i3−3300000
χ584-4-44004i−4i1-20-122-11-2−3i3i−3i3i2i−2i2i−2i00i−i-330000000000000000000000000000−33−i3i3i3−i33−300000
χ594-4-44004i−4i440-4-4-4-4440000−4i4i−4i4i004i−4i0000000000000000000000000000000000000000000
χ604-4-4400−4i4i1-20-122-11-23i−3i3i−3i−2i2i−2i2i00−ii-3300000000000000000000000000003−3−i3i3i3−i3−3300000
χ614-4-4400−4i4i1-20-122-11-23i−3i3i−3i−2i2i−2i2i00−ii-330000000000000000000000000000−33i3−i3−i3i33−300000
χ624-4-4400−4i4i1-20-122-11-2−3i3i−3i3i−2i2i−2i2i00−ii3-300000000000000000000000000003−3i3−i3i3−i33−300000
χ634-4-4400−4i4i1-20-122-11-2−3i3i−3i3i−2i2i−2i2i00−ii3-30000000000000000000000000000−33−i3i3−i3i3−3300000
χ644-4-4400−4i4i440-4-4-4-44400004i−4i4i−4i00−4i4i0000000000000000000000000000000000000000000
χ6588-8-88-8002-4024-4-2-2422-2-20000-44000000000000000000000000000000000000000000000
χ6688-8-8-88002-4024-4-2-24-2-22200004-4000000000000000000000000000000000000000000000
χ678-88-800002-40-2-442-246i−6i−6i6i000000000000000000000000000000000000000000000000000
χ688-88-800002-40-2-442-24−6i6i6i−6i000000000000000000000000000000000000000000000000000
χ698-88-80000-42042-2-44-200006-6-6600000000000000000000000000000000000000000000000
χ708-88-80000-42042-2-44-20000-666-600000000000000000000000000000000000000000000000
χ718-8-88008i−8i-4204-2-24-420000−2i2i−2i2i00−4i4i0000000000000000000000000000000000000000000
χ728-8-8800−8i8i-4204-2-24-4200002i−2i2i−2i004i−4i0000000000000000000000000000000000000000000

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