Finite Group Databasebeta

← Group #11871308

Character table — Group #11871308

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222244444444444444444444888888121212121212121212121212121212121212121212121212181818182424242436364848484872727272
order1222224444336666666666121212121212121266121212122222444466666666121212121212121244442244446612128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-11-11-11-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-111-1-11-11-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111-11-11-11-11-1-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-11-111-1-11-1111-1-1
χ91111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-11-1-11-1-111-11-1
χ101111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-11-11
χ111111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111-1-11-1-11-1-11-11-11
χ121111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-111-1-1-1-111-11-11-1
χ131111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1-11-1-11
χ141111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-11-1-111-111-1
χ151111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1111-1-1-111-1
χ161111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-11-1-1111-1-11
χ17222222222222222222222222222222222222000000000000000000000000-2-2-2-20000-2-200000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000022-2-20000-2200000000
χ192222-2-222-2-222222-2-2-2-22222222-2-2-2-2-2-222-2-2000000000000000000000000-2-2-2-200002200000000
χ202222-2-2-2-22222222-2-2-2-2222-2-2-2-22222-2-2-2-22200000000000000000000000022-2-200002-200000000
χ212-22-2002i−2i002222-20000-2-2-22i2i−2i−2i0000002i−2i00002-2002i−2i000022-2-200002i2i−2i−2i2i−2i2-200000000000000
χ222-22-2002i−2i002222-20000-2-2-22i2i−2i−2i0000002i−2i0000-2200−2i2i0000-2-2220000−2i−2i2i2i2i−2i2-200000000000000
χ232-22-2002i−2i002222-20000-2-2-22i2i−2i−2i0000002i−2i002-2002i−2i0022-2-200002i2i−2i−2i0000−2i2i-2200000000000000
χ242-22-2002i−2i002222-20000-2-2-22i2i−2i−2i0000002i−2i00-2200−2i2i00-2-2220000−2i−2i2i2i0000−2i2i-2200000000000000
χ252-22-200−2i2i002222-20000-2-2-2−2i−2i2i2i000000−2i2i00002-200−2i2i000022-2-20000−2i−2i2i2i−2i2i2-200000000000000
χ262-22-200−2i2i002222-20000-2-2-2−2i−2i2i2i000000−2i2i0000-22002i−2i0000-2-22200002i2i−2i−2i−2i2i2-200000000000000
χ272-22-200−2i2i002222-20000-2-2-2−2i−2i2i2i000000−2i2i002-200−2i2i0022-2-20000−2i−2i2i2i00002i−2i-2200000000000000
χ282-22-200−2i2i002222-20000-2-2-2−2i−2i2i2i000000−2i2i00-22002i−2i00-2-22200002i2i−2i−2i00002i−2i-2200000000000000
χ2944444444441-21-211111-2-2111111111-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3044444444441-21-211111-2-2111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111000000000000000000
χ314444444444-21-21-2-2-2-2-211-2-2-2-2-2-2-2-2-21111110000000000000000000000000000222200-1-1-1-10000
χ324444444444-21-21-2-2-2-2-211-2-2-2-2-2-2-2-2-21111110000000000000000000000000000-2-2-2-20011110000
χ33444444-4-4-4-41-21-211111-2-21-1-1-1-1-1-1-1-1-2-222222222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000
χ34444444-4-4-4-41-21-211111-2-21-1-1-1-1-1-1-1-1-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000
χ35444444-4-4-4-4-21-21-2-2-2-2-211-22222222211-1-1-1-100000000000000000000000000002-22-200-11-110000
χ36444444-4-4-4-4-21-21-2-2-2-2-211-22222222211-1-1-1-10000000000000000000000000000-22-22001-11-10000
χ374444-4-444-4-41-21-21-1-1-1-1-2-211111-1-1-1-122-2-22222-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000
χ384444-4-444-4-41-21-21-1-1-1-1-2-211111-1-1-1-122-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000
χ394444-4-444-4-4-21-21-2222211-2-2-2-2-22222-1-111-1-100000000000000000000000000002-2-2200-111-10000
χ404444-4-444-4-4-21-21-2222211-2-2-2-2-22222-1-111-1-10000000000000000000000000000-222-2001-1-110000
χ414444-4-4-4-4441-21-21-1-1-1-1-2-21-1-1-1-111112222-2-222-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000
χ424444-4-4-4-4441-21-21-1-1-1-1-2-21-1-1-1-111112222-2-2-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000
χ434444-4-4-4-444-21-21-2222211-22222-2-2-2-2-1-1-1-111000000000000000000000000000022-2-200-1-1110000
χ444444-4-4-4-444-21-21-2222211-22222-2-2-2-2-1-1-1-1110000000000000000000000000000-2-2220011-1-10000
χ4544-4-400004-41-2-12-133-3-3-2213-33-311-1-100002-200000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000
χ4644-4-400004-41-2-12-133-3-3-2213-33-311-1-100002-200000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000
χ4744-4-400004-41-2-12-1-3-333-221-33-3311-1-100002-200000000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ4844-4-400004-41-2-12-1-3-333-221-33-3311-1-100002-200000000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ4944-4-400004-444-4-4-400004-44000044-4-40000-44000000000000000000000000000000000000000000
χ5044-4-40000-441-2-12-133-3-3-221-33-33-1-1110000-2200000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3000000000000000000
χ5144-4-40000-441-2-12-133-3-3-221-33-33-1-1110000-2200000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3000000000000000000
χ5244-4-40000-441-2-12-1-3-333-2213-33-3-1-1110000-2200000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ5344-4-40000-441-2-12-1-3-333-2213-33-3-1-1110000-2200000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ5444-4-40000-4444-4-4-400004-440000-4-44400004-4000000000000000000000000000000000000000000
χ554-44-4004i−4i001-21-2-13-33-322-1ii−i−i3i−3i3i−3i00−2i2i002-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii000000000000000000
χ564-44-4004i−4i001-21-2-13-33-322-1ii−i−i3i−3i3i−3i00−2i2i00-22-22−2i2i−2i2i11-1-111-1-1ii−i−iii−i−i000000000000000000
χ574-44-4004i−4i001-21-2-1-33-3322-1ii−i−i−3i3i−3i3i00−2i2i002-2-222i−2i−2i2i-1-11111-1-1−i−iiiii−i−i000000000000000000
χ584-44-4004i−4i001-21-2-1-33-3322-1ii−i−i−3i3i−3i3i00−2i2i00-222-2−2i2i2i−2i11-1-1-1-111ii−i−i−i−iii000000000000000000
χ594-44-400−4i4i001-21-2-13-33-322-1−i−iii−3i3i−3i3i002i−2i002-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i000000000000000000
χ604-44-400−4i4i001-21-2-13-33-322-1−i−iii−3i3i−3i3i002i−2i00-22-222i−2i2i−2i11-1-111-1-1−i−iii−i−iii000000000000000000
χ614-44-400−4i4i001-21-2-1-33-3322-1−i−iii3i−3i3i−3i002i−2i002-2-22−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii000000000000000000
χ624-44-400−4i4i001-21-2-1-33-3322-1−i−iii3i−3i3i−3i002i−2i00-222-22i−2i−2i2i11-1-1-1-111−i−iiiii−i−i000000000000000000
χ634-4-444-400001-2-1211-1-112-2-13i−3i−3i3i3i−3i−3i3i2-2000000000000−i3i3i3−i3−i3i3i3−i33−3−333−3−33000000000000000000
χ644-4-444-400001-2-1211-1-112-2-13i−3i−3i3i3i−3i−3i3i2-2000000000000i3−i3−i3i3i3−i3−i3i3−333−3−333−3000000000000000000
χ654-4-444-400001-2-1211-1-112-2-1−3i3i3i−3i−3i3i3i−3i2-2000000000000−i3i3i3−i3−i3i3i3−i3−333−3−333−3000000000000000000
χ664-4-444-400001-2-1211-1-112-2-1−3i3i3i−3i−3i3i3i−3i2-2000000000000i3−i3−i3i3i3−i3−i3i33−3−333−3−33000000000000000000
χ674-4-444-4000044-4-444-4-44-44-400000000-440000000000000000000000000000000000000000000000
χ684-4-44-4400001-2-121-111-12-2-13i−3i−3i3i−3i3i3i−3i-22000000000000−i3i3i3−i3i3−i3−i3i33−3−33−333−3000000000000000000
χ694-4-44-4400001-2-121-111-12-2-13i−3i−3i3i−3i3i3i−3i-22000000000000i3−i3−i3i3−i3i3i3−i3−333−33−3−33000000000000000000
χ704-4-44-4400001-2-121-111-12-2-1−3i3i3i−3i3i−3i−3i3i-22000000000000−i3i3i3−i3i3−i3−i3i3−333−33−3−33000000000000000000
χ714-4-44-4400001-2-121-111-12-2-1−3i3i3i−3i3i−3i−3i3i-22000000000000i3−i3−i3i3−i3i3i3−i33−3−33−333−3000000000000000000
χ724-4-44-44000044-4-44-444-4-44-4000000004-40000000000000000000000000000000000000000000000
χ7388-8-800008-8-424-2400002-2-40000-4-4440000-22000000000000000000000000000000000000000000
χ7488-8-80000-88-424-2400002-2-4000044-4-400002-2000000000000000000000000000000000000000000
χ758-88-8008i−8i00-42-4240000-2-24−4i−4i4i4i0000002i−2i00000000000000000000000000000000000000000000
χ768-88-800−8i8i00-42-4240000-2-244i4i−4i−4i000000−2i2i00000000000000000000000000000000000000000000
χ778-8-888-80000-424-2-4-444-4-22400000000-220000000000000000000000000000000000000000000000
χ788-8-88-880000-424-2-44-4-44-224000000002-20000000000000000000000000000000000000000000000

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