Finite Group Databasebeta

← Group #11866150

Character table — Group #11866150

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222244444444444444444444888888121212121212121212121212121212121212121212121212181818182424242436364848484872727272
order12224444443366666612121212121212121212121212121212121222444444666612121212121212121212121222442244446612128888
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
χ91111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-11-111-1-111-11-1
χ101111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-111-1-11-111-1-11-11
χ111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-11-111-1-11-11-11
χ121111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-111-1-11-111-11-11-1
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11-1-11
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-111-1
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-111-1
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1111-1-11
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
χ192222-2-222-2-222222222-2-2-2-22222-2-2-2-2-2-222-2-200000000000000000000000022-2-200002-200000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000-2-2-2-200002200000000
χ212-2-2200002-222-2-22-2-220000000022-2-200002-2002i−2i2i−2i0000002i2i−2i−2i2i2i−2i−2i00002-22-200000000000000
χ222-2-2200002-222-2-22-2-220000000022-2-200002-200−2i2i−2i2i000000−2i−2i2i2i−2i−2i2i2i00002-22-200000000000000
χ232-2-2200002-222-2-22-2-220000000022-2-200002-22-200002-222-2-20000000022-2-2-22-2200000000000000
χ242-2-2200002-222-2-22-2-220000000022-2-200002-2-220000-22-2-22200000000-2-222-22-2200000000000000
χ252-2-220000-2222-2-22-2-2200000000-2-2220000-22002i−2i−2i2i0000002i2i−2i−2i−2i−2i2i2i0000-222-200000000000000
χ262-2-220000-2222-2-22-2-2200000000-2-2220000-2200−2i2i2i−2i000000−2i−2i2i2i2i2i−2i−2i0000-222-200000000000000
χ272-2-220000-2222-2-22-2-2200000000-2-2220000-222-20000-2222-2-200000000-2-2222-2-2200000000000000
χ282-2-220000-2222-2-22-2-2200000000-2-2220000-22-2200002-2-2-2220000000022-2-22-2-2200000000000000
χ2944444444441-2-2-2111-2111111111111-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3044444444441-2-2-2111-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111000000000000000000
χ314444444444-2111-2-2-21-2-2-2-2-2-2-2-2-2-2-2-21111110000000000000000000000000000222200-1-1-1-10000
χ324444444444-2111-2-2-21-2-2-2-2-2-2-2-2-2-2-2-21111110000000000000000000000000000-2-2-2-20011110000
χ33444444-4-4-4-41-2-2-2111-21111-1-1-1-1-1-1-1-1-2-222222222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000
χ34444444-4-4-4-41-2-2-2111-21111-1-1-1-1-1-1-1-1-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000
χ35444444-4-4-4-4-2111-2-2-21-2-2-2-22222222211-1-1-1-100000000000000000000000000002-22-200-11-110000
χ36444444-4-4-4-4-2111-2-2-21-2-2-2-22222222211-1-1-1-10000000000000000000000000000-22-22001-11-10000
χ374444-4-444-4-41-2-2-2111-2-1-1-1-11111-1-1-1-122-2-22222-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000
χ384444-4-444-4-41-2-2-2111-2-1-1-1-11111-1-1-1-122-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000
χ394444-4-444-4-4-2111-2-2-212222-2-2-2-22222-1-111-1-100000000000000000000000000002-2-2200-111-10000
χ404444-4-444-4-4-2111-2-2-212222-2-2-2-22222-1-111-1-10000000000000000000000000000-222-2001-1-110000
χ414444-4-4-4-4441-2-2-2111-2-1-1-1-1-1-1-1-111112222-2-222-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000
χ424444-4-4-4-4441-2-2-2111-2-1-1-1-1-1-1-1-111112222-2-2-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000
χ434444-4-4-4-444-2111-2-2-2122222222-2-2-2-2-1-1-1-111000000000000000000000000000022-2-200-1-1110000
χ444444-4-4-4-444-2111-2-2-2122222222-2-2-2-2-1-1-1-1110000000000000000000000000000-2-2220011-1-10000
χ4544-4-4004i−4i001-22-2-11-1233-3-3ii−i−i3i−3i3i−3i002i−2i0000000000−i3i3−i3i3−i3i3−i3i33−33−33−33−3000000000000000000
χ4644-4-4004i−4i001-22-2-11-1233-3-3ii−i−i3i−3i3i−3i002i−2i0000000000i3−i3i3−i3i3−i3i3−i3−33−33−33−33000000000000000000
χ4744-4-4004i−4i001-22-2-11-12-3-333ii−i−i−3i3i−3i3i002i−2i0000000000−i3i3−i3i3i3−i3i3−i33−33−3−33−33000000000000000000
χ4844-4-4004i−4i001-22-2-11-12-3-333ii−i−i−3i3i−3i3i002i−2i0000000000i3−i3i3−i3−i3i3−i3i3−33−333−33−3000000000000000000
χ4944-4-4004i−4i0044-44-44-4-400004i4i−4i−4i000000−4i4i00000000000000000000000000000000000000000000
χ5044-4-400−4i4i001-22-2-11-1233-3-3−i−iii−3i3i−3i3i00−2i2i0000000000−i3i3−i3i3−i3i3−i3i3−33−33−33−33000000000000000000
χ5144-4-400−4i4i001-22-2-11-1233-3-3−i−iii−3i3i−3i3i00−2i2i0000000000i3−i3i3−i3i3−i3i3−i33−33−33−33−3000000000000000000
χ5244-4-400−4i4i001-22-2-11-12-3-333−i−iii3i−3i3i−3i00−2i2i0000000000−i3i3−i3i3i3−i3i3−i3−33−333−33−3000000000000000000
χ5344-4-400−4i4i001-22-2-11-12-3-333−i−iii3i−3i3i−3i00−2i2i0000000000i3−i3i3−i3−i3i3−i3i33−33−3−33−33000000000000000000
χ5444-4-400−4i4i0044-44-44-4-40000−4i−4i4i4i0000004i−4i00000000000000000000000000000000000000000000
χ554-44-44i−4i00001-2-22-1-112i−ii−i3-33-33i−3i−3i3i2i−2i000000000000−i3i3i3−i33−3−33i3−i3−i3i33−3−33000000000000000000
χ564-44-44i−4i00001-2-22-1-112i−ii−i3-33-33i−3i−3i3i2i−2i000000000000i3−i3−i3i3−333−3−i3i3i3−i3−333−3000000000000000000
χ574-44-44i−4i00001-2-22-1-112i−ii−i-33-33−3i3i3i−3i2i−2i000000000000−i3i3i3−i33−3−33−i3i3i3−i3−333−3000000000000000000
χ584-44-44i−4i00001-2-22-1-112i−ii−i-33-33−3i3i3i−3i2i−2i000000000000i3−i3−i3i3−333−3i3−i3−i3i33−3−33000000000000000000
χ594-44-44i−4i0000444-4-4-44-44i−4i4i−4i00000000−4i4i0000000000000000000000000000000000000000000000
χ604-44-4−4i4i00001-2-22-1-112−ii−ii3-33-3−3i3i3i−3i−2i2i000000000000−i3i3i3−i3−333−3i3−i3−i3i3−333−3000000000000000000
χ614-44-4−4i4i00001-2-22-1-112−ii−ii3-33-3−3i3i3i−3i−2i2i000000000000i3−i3−i3i33−3−33−i3i3i3−i33−3−33000000000000000000
χ624-44-4−4i4i00001-2-22-1-112−ii−ii-33-333i−3i−3i3i−2i2i000000000000−i3i3i3−i3−333−3−i3i3i3−i33−3−33000000000000000000
χ634-44-4−4i4i00001-2-22-1-112−ii−ii-33-333i−3i−3i3i−2i2i000000000000i3−i3−i3i33−3−33i3−i3−i3i3−333−3000000000000000000
χ644-44-4−4i4i0000444-4-4-44-4−4i4i−4i4i000000004i−4i0000000000000000000000000000000000000000000000
χ654-4-4400004-41-2221-1-1-23i−3i−3i3i−3i3i3i−3i11-1-10000-222-22i−2i2i−2i2-2-1-111−i−iii−i−iii-1-111000000000000000000
χ664-4-4400004-41-2221-1-1-23i−3i−3i3i−3i3i3i−3i11-1-10000-22-22−2i2i−2i2i-2211-1-1ii−i−iii−i−i11-1-1000000000000000000
χ674-4-4400004-41-2221-1-1-2−3i3i3i−3i3i−3i−3i3i11-1-10000-222-2−2i2i−2i2i2-2-1-111ii−i−iii−i−i-1-111000000000000000000
χ684-4-4400004-41-2221-1-1-2−3i3i3i−3i3i−3i−3i3i11-1-10000-22-222i−2i2i−2i-2211-1-1−i−iii−i−iii11-1-1000000000000000000
χ694-4-440000-441-2221-1-1-23i−3i−3i3i3i−3i−3i3i-1-11100002-22-22i−2i−2i2i-22-1-111−i−iiiii−i−i11-1-1000000000000000000
χ704-4-440000-441-2221-1-1-23i−3i−3i3i3i−3i−3i3i-1-11100002-2-22−2i2i2i−2i2-211-1-1ii−i−i−i−iii-1-111000000000000000000
χ714-4-440000-441-2221-1-1-2−3i3i3i−3i−3i3i3i−3i-1-11100002-22-2−2i2i2i−2i-22-1-111ii−i−i−i−iii11-1-1000000000000000000
χ724-4-440000-441-2221-1-1-2−3i3i3i−3i−3i3i3i−3i-1-11100002-2-222i−2i−2i2i2-211-1-1−i−iiiii−i−i-1-111000000000000000000
χ7388-8-8008i−8i00-42-224-44-20000−4i−4i4i4i000000−2i2i00000000000000000000000000000000000000000000
χ7488-8-800−8i8i00-42-224-44-200004i4i−4i−4i0000002i−2i00000000000000000000000000000000000000000000
χ758-88-88i−8i0000-422-244-4-2−4i4i−4i4i00000000−2i2i0000000000000000000000000000000000000000000000
χ768-88-8−8i8i0000-422-244-4-24i−4i4i−4i000000002i−2i0000000000000000000000000000000000000000000000
χ778-8-8800008-8-42-2-2-444200000000-4-44400002-2000000000000000000000000000000000000000000
χ788-8-880000-88-42-2-2-44420000000044-4-40000-22000000000000000000000000000000000000000000

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