Finite Group Databasebeta

← Group #11868700

Character table — Group #11868700

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222244444444444444444444888888121212121212121212121212121212121212121212121212181818182424242436364848484872727272
order122222444433666666666612121212121212126612121212222244446666666612121212121212124444444444121212128888
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
χ91111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-11-1-1-1111-11-1
χ101111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-11-1-1111-111-1-1-11-11
χ111111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-11-1-1-111-11-11
χ121111-1-111-1-111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11-1-1111-111-1-11-11-1
χ131111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11-11-111-11-1-11
χ141111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-1-111-1-11-111-1
χ151111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-11-111-1-111-1
χ161111-1-1-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-11-111-1-111-1-111-1-11
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
χ2122-2-22-200002222-222-2-2-2-2-2000000002-2000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i-22-2200000000000000
χ2222-2-22-200002222-222-2-2-2-2-2000000002-200000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i-22-2200000000000000
χ2322-2-22-200002222-222-2-2-2-2-2000000002-200002-22-2000022-2-222-2-2000000002-22-200000000000000
χ2422-2-22-200002222-222-2-2-2-2-2000000002-20000-22-220000-2-222-2-222000000002-22-200000000000000
χ2522-2-2-2200002222-2-2-222-2-2-200000000-22000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i-2-22200000000000000
χ2622-2-2-2200002222-2-2-222-2-2-200000000-2200000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i-2-22200000000000000
χ2722-2-2-2200002222-2-2-222-2-2-200000000-2200002-2-22000022-2-2-2-2220000000022-2-200000000000000
χ2822-2-2-2200002222-2-2-222-2-2-200000000-220000-222-20000-2-22222-2-20000000022-2-200000000000000
χ2944444444441-21-2-2-2-2-2-211-2-2-2-2-2-2-2-2-21111110000000000000000000000000000222200-1-1-1-10000
χ3044444444441-21-2-2-2-2-2-211-2-2-2-2-2-2-2-2-21111110000000000000000000000000000-2-2-2-20011110000
χ314444444444-21-2111111-2-2111111111-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ324444444444-21-2111111-2-2111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111000000000000000000
χ33444444-4-4-4-41-21-2-2-2-2-2-211-22222222211-1-1-1-100000000000000000000000000002-22-200-11-110000
χ34444444-4-4-4-41-21-2-2-2-2-2-211-22222222211-1-1-1-10000000000000000000000000000-22-22001-11-10000
χ35444444-4-4-4-4-21-2111111-2-21-1-1-1-1-1-1-1-1-2-222222222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000
χ36444444-4-4-4-4-21-2111111-2-21-1-1-1-1-1-1-1-1-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000
χ374444-4-444-4-41-21-2-2222211-2-2-2-2-22222-1-111-1-1000000000000000000000000000022-2-20011-1-10000
χ384444-4-444-4-41-21-2-2222211-2-2-2-2-22222-1-111-1-10000000000000000000000000000-2-22200-1-1110000
χ394444-4-444-4-4-21-211-1-1-1-1-2-211111-1-1-1-122-2-22222-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000
χ404444-4-444-4-4-21-211-1-1-1-1-2-211111-1-1-1-122-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000
χ414444-4-4-4-4441-21-2-2222211-22222-2-2-2-2-1-1-1-11100000000000000000000000000002-2-22001-1-110000
χ424444-4-4-4-4441-21-2-2222211-22222-2-2-2-2-1-1-1-1110000000000000000000000000000-222-200-111-10000
χ434444-4-4-4-444-21-211-1-1-1-1-2-21-1-1-1-111112222-2-222-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000
χ444444-4-4-4-444-21-211-1-1-1-1-2-21-1-1-1-111112222-2-2-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000
χ4544-4-44-40000-21-21-111-1-122-13i3i−3i−3i3i3i−3i−3i-2200002-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii000000000000000000
χ4644-4-44-40000-21-21-111-1-122-13i3i−3i−3i3i3i−3i−3i-220000-22-22−2i2i−2i2i11-1-111-1-1ii−i−iii−i−i000000000000000000
χ4744-4-44-40000-21-21-111-1-122-1−3i−3i3i3i−3i−3i3i3i-2200002-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i000000000000000000
χ4844-4-44-40000-21-21-111-1-122-1−3i−3i3i3i−3i−3i3i3i-220000-22-222i−2i2i−2i11-1-111-1-1−i−iii−i−iii000000000000000000
χ4944-4-4-440000-21-21-1-1-11122-13i3i−3i−3i−3i−3i3i3i2-200002-2-222i−2i−2i2i-1-11111-1-1−i−iiiii−i−i000000000000000000
χ5044-4-4-440000-21-21-1-1-11122-13i3i−3i−3i−3i−3i3i3i2-20000-222-2−2i2i2i−2i11-1-1-1-111ii−i−i−i−iii000000000000000000
χ5144-4-4-440000-21-21-1-1-11122-1−3i−3i3i3i3i3i−3i−3i2-200002-2-22−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii000000000000000000
χ5244-4-4-440000-21-21-1-1-11122-1−3i−3i3i3i3i3i−3i−3i2-20000-222-22i−2i−2i2i11-1-1-1-111−i−iiiii−i−i000000000000000000
χ534-44-4004-40044-4-4-40000-4444-44-40000004-400000000000000000000000000000000000000000000
χ544-44-4004-400-212-1-13-33-32-211-11-13-33-300-220000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000
χ554-44-4004-400-212-1-13-33-32-211-11-13-33-300-220000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000
χ564-44-4004-400-212-1-1-33-332-211-11-1-33-3300-220000000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ574-44-4004-400-212-1-1-33-332-211-11-1-33-3300-220000000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ584-44-400-440044-4-4-40000-444-44-44000000-4400000000000000000000000000000000000000000000
χ594-44-400-4400-212-1-13-33-32-21-11-11-33-33002-20000000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3000000000000000000
χ604-44-400-4400-212-1-13-33-32-21-11-11-33-33002-20000000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3000000000000000000
χ614-44-400-4400-212-1-1-33-332-21-11-113-33-3002-20000000000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ624-44-400-4400-212-1-1-33-332-21-11-113-33-3002-20000000000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ634-4-4400004i−4i44-4-4400004-4-400004i−4i−4i4i00004i−4i000000000000000000000000000000000000000000
χ644-4-4400004i−4i-212-113-3-33-22-13i−3i−3i3ii−i−ii0000−2i2i00000000−i3i3i3−i3−i3i3i3−i33−3−333−3−33000000000000000000
χ654-4-4400004i−4i-212-113-3-33-22-13i−3i−3i3ii−i−ii0000−2i2i00000000i3−i3−i3i3i3−i3−i3i3−333−3−333−3000000000000000000
χ664-4-4400004i−4i-212-11-333-3-22-1−3i3i3i−3ii−i−ii0000−2i2i00000000−i3i3i3−i3i3−i3−i3i3−333−33−3−33000000000000000000
χ674-4-4400004i−4i-212-11-333-3-22-1−3i3i3i−3ii−i−ii0000−2i2i00000000i3−i3−i3i3−i3i3i3−i33−3−33−333−3000000000000000000
χ684-4-440000−4i4i44-4-4400004-4-40000−4i4i4i−4i0000−4i4i000000000000000000000000000000000000000000
χ694-4-440000−4i4i-212-113-3-33-22-1−3i3i3i−3i−iii−i00002i−2i00000000−i3i3i3−i3−i3i3i3−i3−333−3−333−3000000000000000000
χ704-4-440000−4i4i-212-113-3-33-22-1−3i3i3i−3i−iii−i00002i−2i00000000i3−i3−i3i3i3−i3−i3i33−3−333−3−33000000000000000000
χ714-4-440000−4i4i-212-11-333-3-22-13i−3i−3i3i−iii−i00002i−2i00000000−i3i3i3−i3i3−i3−i3i33−3−33−333−3000000000000000000
χ724-4-440000−4i4i-212-11-333-3-22-13i−3i−3i3i−iii−i00002i−2i00000000i3−i3−i3i3−i3i3i3−i3−333−33−3−33000000000000000000
χ7388-8-88-800002-42-44-4-444-2-24000000002-20000000000000000000000000000000000000000000000
χ7488-8-8-8800002-42-4444-4-4-2-2400000000-220000000000000000000000000000000000000000000000
χ758-88-8008-8002-4-2440000-22-4-44-440000002-200000000000000000000000000000000000000000000
χ768-88-800-88002-4-2440000-22-44-44-4000000-2200000000000000000000000000000000000000000000
χ778-8-8800008i−8i2-4-24-400002-240000−4i4i4i−4i00002i−2i000000000000000000000000000000000000000000
χ788-8-880000−8i8i2-4-24-400002-2400004i−4i−4i4i0000−2i2i000000000000000000000000000000000000000000

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