Finite Group Databasebeta

← Group #11871307

Character table — Group #11871307

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122224444444444444444488888888121212121212121218181818181824242424242424242424242424242424242424243672727272
order122244443346666661212121212121212121212121212121222224444224444224466666666121212121212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111111-1-1-1-1
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
χ5111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111-11-111-1-111-1-111-1-111-1-1-111-1-1
χ6111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-11-1111-1-1-1-11111-1-1-1-111-1-1-111
χ7111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111-11-1-1-11111-1-1-1-11111-1-1-1-1-111
χ8111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-11-11-1-111-1-111-1-111-1-111-111-1-1
χ91111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-11-1
χ101111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-11-11
χ111111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-11-11
χ121111-1-11111-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1111111-11-1
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-111-11-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-111-11111-1-111-1-1-1-111-1-1-1-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111-1-11-1-1-1-111-1-11111-1-111-1-111-1
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-111-1-1-1-1-1-1-111111111-1-1-11-1-11
χ1722222222222222222222222222222222200000000-2-2-2-2-2-200000000000000000000-20000
χ18222222-2-222-22222222222-2-2-2-222-2-2-2-2-2-20000000022-2-2-2-20000000000000000000020000
χ192222-2-22222-2222222-2-2-2-22222-2-222-2-2-2-2000000002222-2-200000000000000000000-20000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-222-2-20000000000000000000020000
χ2122-2-22i−2i0022022-2-2-2-22i2i−2i−2i00002i−2i000000002-2002i−2i002i−2i2-20000002-20000002i−2i000000000
χ2222-2-22i−2i0022022-2-2-2-22i2i−2i−2i00002i−2i00000000-2200−2i2i002i−2i2-2000000-22000000−2i2i000000000
χ2322-2-22i−2i0022022-2-2-2-22i2i−2i−2i00002i−2i0000002-2002i−2i0000−2i2i-2200002-20000002i−2i00000000000
χ2422-2-22i−2i0022022-2-2-2-22i2i−2i−2i00002i−2i000000-2200−2i2i0000−2i2i-220000-22000000−2i2i00000000000
χ2522-2-2−2i2i0022022-2-2-2-2−2i−2i2i2i0000−2i2i000000002-200−2i2i00−2i2i2-20000002-2000000−2i2i000000000
χ2622-2-2−2i2i0022022-2-2-2-2−2i−2i2i2i0000−2i2i00000000-22002i−2i00−2i2i2-2000000-220000002i−2i000000000
χ2722-2-2−2i2i0022022-2-2-2-2−2i−2i2i2i0000−2i2i0000002-200−2i2i00002i−2i-2200002-2000000−2i2i00000000000
χ2822-2-2−2i2i0022022-2-2-2-2−2i−2i2i2i0000−2i2i000000-22002i−2i00002i−2i-220000-220000002i−2i00000000000
χ29444444441-241-21-21-21111-2-2-2-2-2-21111-2-20000000000000022220000-1-1-1-10000-1-1-1-100000
χ30444444441-241-21-21-21111-2-2-2-2-2-21111-2-200000000000000-2-2-2-2000011110000111100000
χ3144444444-214-21-21-21-2-2-2-2111111-2-2-2-211222222220000000000-1-1-1-10000-1-1-1-1000000000
χ3244444444-214-21-21-21-2-2-2-2111111-2-2-2-211-2-2-2-2-2-2-2-20000000000111100001111000000000
χ33444444-4-41-2-41-21-21-211112222-2-2-1-1-1-122000000000000002-22-20000-1-1110000-1-11100000
χ34444444-4-41-2-41-21-21-211112222-2-2-1-1-1-12200000000000000-22-22000011-1-1000011-1-100000
χ35444444-4-4-21-4-21-21-21-2-2-2-2-1-1-1-1112222-1-122-2-222-2-20000000000-1-1110000-1-111000000000
χ36444444-4-4-21-4-21-21-21-2-2-2-2-1-1-1-1112222-1-1-2-222-2-222000000000011-1-1000011-1-1000000000
χ374444-4-4441-2-41-21-21-2-1-1-1-1-2-2-2-22211-1-1220000000000000022-2-20000-1-1-1-10000111100000
χ384444-4-4441-2-41-21-21-2-1-1-1-1-2-2-2-22211-1-12200000000000000-2-222000011110000-1-1-1-100000
χ394444-4-444-21-4-21-21-2122221111-1-1-2-222-1-122-2-2-2-2220000000000-1-111000011-1-1000000000
χ404444-4-444-21-4-21-21-2122221111-1-1-2-222-1-1-2-22222-2-2000000000011-1-10000-1-111000000000
χ414444-4-4-4-41-241-21-21-2-1-1-1-1222222-1-111-2-2000000000000002-2-220000-1-111000011-1-100000
χ424444-4-4-4-41-241-21-21-2-1-1-1-1222222-1-111-2-200000000000000-222-2000011-1-10000-1-11100000
χ434444-4-4-4-4-214-21-21-212222-1-1-1-1-1-122-2-2112222-2-2-2-20000000000-1-1-1-100001111000000000
χ444444-4-4-4-4-214-21-21-212222-1-1-1-1-1-122-2-211-2-2-2-22222000000000011110000-1-1-1-1000000000
χ4544-4-44i−4i00-210-212-12-1−2i−2i2i2i3i3i−3i−3ii−i00003-32-22-22i−2i2i−2i0000000000-11-110000−ii−ii000000000
χ4644-4-44i−4i00-210-212-12-1−2i−2i2i2i3i3i−3i−3ii−i00003-3-22-22−2i2i−2i2i00000000001-11-10000i−ii−i000000000
χ4744-4-44i−4i00-210-212-12-1−2i−2i2i2i−3i−3i3i3ii−i0000-332-2-222i−2i−2i2i0000000000-111-10000−iii−i000000000
χ4844-4-44i−4i00-210-212-12-1−2i−2i2i2i−3i−3i3i3ii−i0000-33-222-2−2i2i2i−2i00000000001-1-110000i−i−ii000000000
χ4944-4-4−4i4i00-210-212-12-12i2i−2i−2i3i3i−3i−3i−ii0000-332-2-22−2i2i2i−2i0000000000-111-10000i−i−ii000000000
χ5044-4-4−4i4i00-210-212-12-12i2i−2i−2i3i3i−3i−3i−ii0000-33-222-22i−2i−2i2i00000000001-1-110000−iii−i000000000
χ5144-4-4−4i4i00-210-212-12-12i2i−2i−2i−3i−3i3i3i−ii00003-32-22-2−2i2i−2i2i0000000000-11-110000i−ii−i000000000
χ5244-4-4−4i4i00-210-212-12-12i2i−2i−2i−3i−3i3i3i−ii00003-3-22-222i−2i2i−2i00000000001-11-10000−ii−ii000000000
χ534-44-40000440-4-4-444-40000000000000000000000004-400000000000000000000000000000
χ544-44-40000440-4-4-444-4000000000000000000000000-4400000000000000000000000000000
χ554-4-44004-41-20-1212-1-23i−3i3i−3i2-22-2001-13i−3i000000000000000000000000−i3i3−i3i300003−33−300000
χ564-4-44004-41-20-1212-1-23i−3i3i−3i2-22-2001-13i−3i000000000000000000000000i3−i3i3−i30000−33−3300000
χ574-4-44004-41-20-1212-1-2−3i3i−3i3i2-22-2001-1−3i3i000000000000000000000000−i3i3−i3i30000−33−3300000
χ584-4-44004-41-20-1212-1-2−3i3i−3i3i2-22-2001-1−3i3i000000000000000000000000i3−i3i3−i300003−33−300000
χ594-4-44004-4440-4-44-4-440000-44-44004-40000000000000000000000000000000000000000000
χ604-4-4400-441-20-1212-1-23i−3i3i−3i-22-2200-11−3i3i000000000000000000000000−i3i3i3−i300003−3−3300000
χ614-4-4400-441-20-1212-1-23i−3i3i−3i-22-2200-11−3i3i000000000000000000000000i3−i3−i3i30000−333−300000
χ624-4-4400-441-20-1212-1-2−3i3i−3i3i-22-2200-113i−3i000000000000000000000000−i3i3i3−i30000−333−300000
χ634-4-4400-441-20-1212-1-2−3i3i−3i3i-22-2200-113i−3i000000000000000000000000i3−i3−i3i300003−3−3300000
χ644-4-4400-44440-4-44-4-4400004-44-400-440000000000000000000000000000000000000000000
χ6588-8-88i−8i002-402-4-24-242i2i−2i−2i0000−4i4i000000000000000000000000000000000000000000000
χ6688-8-8−8i8i002-402-4-24-24−2i−2i2i2i00004i−4i000000000000000000000000000000000000000000000
χ678-88-800002-40-24-2-4246-6-66000000000000000000000000000000000000000000000000000
χ688-88-800002-40-24-2-424-666-6000000000000000000000000000000000000000000000000000
χ698-88-80000-4204-242-4-200006i−6i−6i6i00000000000000000000000000000000000000000000000
χ708-88-80000-4204-242-4-20000−6i6i6i−6i00000000000000000000000000000000000000000000000
χ718-8-88008-8-4204-2-4-2420000-22-2200-440000000000000000000000000000000000000000000
χ728-8-8800-88-4204-2-4-24200002-22-2004-40000000000000000000000000000000000000000000

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