Finite Group Databasebeta

← Group #11865893

Character table — Group #11865893

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
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-11-11-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-1-11-11-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-11-1-1-11-11-1-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-11-11-1-1-11-1111-1-1
χ91111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-11-111-1-11-11-1
χ101111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-11-1-1111-1-1-111-11-11
χ111111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-11-111-1-1-11-11
χ121111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11-1-1111-1-1-1111-11-1
χ131111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11-111-1-111-1-11
χ141111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-1-11-111-1-111-1
χ151111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-111-1-11-111-1
χ161111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11-111-1-11-111-11-1-11
χ17222222222222222222222222222222222222000000000000000000000000-2-2-2-20000-2-200000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000-2-2-2-200002200000000
χ192222-2-222-2-222222-2-2-2-22222222-2-2-2-2-2-222-2-2000000000000000000000000-222-20000-2200000000
χ202222-2-2-2-22222222-2-2-2-2222-2-2-2-22222-2-2-2-222000000000000000000000000-222-200002-200000000
χ212-2-222-20000222-2-222-2-2-22-2000000002-2000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i22-2-200000000000000
χ222-2-222-20000222-2-222-2-2-22-2000000002-200000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i22-2-200000000000000
χ232-2-222-20000222-2-222-2-2-22-2000000002-200002-22-2000022-2-222-2-200000000-2-22200000000000000
χ242-2-222-20000222-2-222-2-2-22-2000000002-20000-22-220000-2-222-2-22200000000-2-22200000000000000
χ252-2-22-220000222-2-2-2-222-22-200000000-22000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i2-22-200000000000000
χ262-2-22-220000222-2-2-2-222-22-200000000-2200000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i2-22-200000000000000
χ272-2-22-220000222-2-2-2-222-22-200000000-2200002-2-22000022-2-2-2-22200000000-22-2200000000000000
χ282-2-22-220000222-2-2-2-222-22-200000000-220000-222-20000-2-22222-2-200000000-22-2200000000000000
χ2944444444441-211-21111-2-2111111111-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3044444444441-211-21111-2-2111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111000000000000000000
χ314444444444-21-2-21-2-2-2-211-2-2-2-2-2-2-2-2-21111110000000000000000000000000000222200-1-1-1-10000
χ324444444444-21-2-21-2-2-2-211-2-2-2-2-2-2-2-2-21111110000000000000000000000000000-2-2-2-20011110000
χ33444444-4-4-4-41-211-21111-2-21-1-1-1-1-1-1-1-1-2-222222222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000
χ34444444-4-4-4-41-211-21111-2-21-1-1-1-1-1-1-1-1-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000
χ35444444-4-4-4-4-21-2-21-2-2-2-211-22222222211-1-1-1-100000000000000000000000000002-22-200-11-110000
χ36444444-4-4-4-4-21-2-21-2-2-2-211-22222222211-1-1-1-10000000000000000000000000000-22-22001-11-10000
χ374444-4-444-4-41-211-2-1-1-1-1-2-211111-1-1-1-122-2-22222-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000
χ384444-4-444-4-41-211-2-1-1-1-1-2-211111-1-1-1-122-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000
χ394444-4-444-4-4-21-2-21222211-2-2-2-2-22222-1-111-1-1000000000000000000000000000022-2-200-1-1110000
χ404444-4-444-4-4-21-2-21222211-2-2-2-2-22222-1-111-1-10000000000000000000000000000-2-2220011-1-10000
χ414444-4-4-4-4441-211-2-1-1-1-1-2-21-1-1-1-111112222-2-222-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000
χ424444-4-4-4-4441-211-2-1-1-1-1-2-21-1-1-1-111112222-2-2-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000
χ434444-4-4-4-444-21-2-21222211-22222-2-2-2-2-1-1-1-11100000000000000000000000000002-2-2200-111-10000
χ444444-4-4-4-444-21-2-21222211-22222-2-2-2-2-1-1-1-1110000000000000000000000000000-222-2001-1-110000
χ4544-4-4004-4001-2-1-123-33-3-22111-1-133-3-3002-20000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000
χ4644-4-4004-4001-2-1-123-33-3-22111-1-133-3-3002-20000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000
χ4744-4-4004-4001-2-1-12-33-33-22111-1-1-3-333002-20000000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ4844-4-4004-4001-2-1-12-33-33-22111-1-1-3-333002-20000000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ4944-4-4004-40044-4-4-400004-4444-4-4000000-4400000000000000000000000000000000000000000000
χ5044-4-400-44001-2-1-123-33-3-221-1-111-3-33300-220000000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3000000000000000000
χ5144-4-400-44001-2-1-123-33-3-221-1-111-3-33300-220000000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3000000000000000000
χ5244-4-400-44001-2-1-12-33-33-221-1-11133-3-300-220000000000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ5344-4-400-44001-2-1-12-33-33-221-1-11133-3-300-220000000000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ5444-4-400-440044-4-4-400004-44-4-4440000004-400000000000000000000000000000000000000000000
χ554-44-400004i−4i1-2-11-23-3-3322-13i−3i3i−3ii−ii−i00002i−2i00000000−i3i3i3−i3−i3i3i3−i33−3−333−3−33000000000000000000
χ564-44-400004i−4i1-2-11-23-3-3322-13i−3i3i−3ii−ii−i00002i−2i00000000i3−i3−i3i3i3−i3−i3i3−333−3−333−3000000000000000000
χ574-44-400004i−4i1-2-11-2-333-322-1−3i3i−3i3ii−ii−i00002i−2i00000000−i3i3i3−i3i3−i3−i3i3−333−33−3−33000000000000000000
χ584-44-400004i−4i1-2-11-2-333-322-1−3i3i−3i3ii−ii−i00002i−2i00000000i3−i3−i3i3−i3i3i3−i33−3−33−333−3000000000000000000
χ594-44-400004i−4i44-4440000-4-4-400004i−4i4i−4i0000−4i4i000000000000000000000000000000000000000000
χ604-44-40000−4i4i1-2-11-23-3-3322-1−3i3i−3i3i−ii−ii0000−2i2i00000000−i3i3i3−i3−i3i3i3−i3−333−3−333−3000000000000000000
χ614-44-40000−4i4i1-2-11-23-3-3322-1−3i3i−3i3i−ii−ii0000−2i2i00000000i3−i3−i3i3i3−i3−i3i33−3−333−3−33000000000000000000
χ624-44-40000−4i4i1-2-11-2-333-322-13i−3i3i−3i−ii−ii0000−2i2i00000000−i3i3i3−i3i3−i3−i3i33−3−33−333−3000000000000000000
χ634-44-40000−4i4i1-2-11-2-333-322-13i−3i3i−3i−ii−ii0000−2i2i00000000i3−i3−i3i3−i3i3i3−i3−333−33−3−33000000000000000000
χ644-44-40000−4i4i44-4440000-4-4-40000−4i4i−4i4i00004i−4i000000000000000000000000000000000000000000
χ654-4-444-400001-21-1211-1-12-2-13i−3i−3i3i3i−3i−3i3i-2200002-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii000000000000000000
χ664-4-444-400001-21-1211-1-12-2-13i−3i−3i3i3i−3i−3i3i-220000-22-22−2i2i−2i2i11-1-111-1-1ii−i−iii−i−i000000000000000000
χ674-4-444-400001-21-1211-1-12-2-1−3i3i3i−3i−3i3i3i−3i-2200002-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i000000000000000000
χ684-4-444-400001-21-1211-1-12-2-1−3i3i3i−3i−3i3i3i−3i-220000-22-222i−2i2i−2i11-1-111-1-1−i−iii−i−iii000000000000000000
χ694-4-44-4400001-21-12-1-1112-2-13i−3i−3i3i−3i3i3i−3i2-200002-2-222i−2i−2i2i-1-11111-1-1−i−iiiii−i−i000000000000000000
χ704-4-44-4400001-21-12-1-1112-2-13i−3i−3i3i−3i3i3i−3i2-20000-222-2−2i2i2i−2i11-1-1-1-111ii−i−i−i−iii000000000000000000
χ714-4-44-4400001-21-12-1-1112-2-1−3i3i3i−3i3i−3i−3i3i2-200002-2-22−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii000000000000000000
χ724-4-44-4400001-21-12-1-1112-2-1−3i3i3i−3i3i−3i−3i3i2-20000-222-22i−2i−2i2i11-1-1-1-111−i−iiiii−i−i000000000000000000
χ7388-8-8008-800-4244-200002-2-4-4-444000000-2200000000000000000000000000000000000000000000
χ7488-8-800-8800-4244-200002-2-444-4-40000002-200000000000000000000000000000000000000000000
χ758-88-800008i−8i-424-420000-2-240000−4i4i−4i4i0000−2i2i000000000000000000000000000000000000000000
χ768-88-80000−8i8i-424-420000-2-2400004i−4i4i−4i00002i−2i000000000000000000000000000000000000000000
χ778-8-888-80000-42-44-2-4-444-224000000002-20000000000000000000000000000000000000000000000
χ788-8-88-880000-42-44-244-4-4-22400000000-220000000000000000000000000000000000000000000000

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