Finite Group Databasebeta

← Group #11887837

Character table — Group #11887837

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222244444444888888888888121212121212121212121212181818181818242424242424242424242424242424242424363636363636363636
order12222244443366666666661212121212121212444412121212121212124488882444446612121212121212121212244888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-111-11-1-1-1-1-1111111-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-11-1-11-111111-1-1-1-1-1-111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-11-1-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-111-1-11111-1-1-1-111-1-1-1-1111-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1-11111-1-111-1-1111-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111111111-1-1-1-1-1-11-1-111-1-1
χ91111-1-111-1-111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-111-1-1-11111-1-1-1-1-1-1-11-111-1-1-1-1
χ101111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-1-1-111-11-1-1-11111
χ111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-1-111-1-11111-1-1-11-1-1-11111
χ121111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1111111-11-111-1-1-1-1
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-111
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-11-11-11-1-111-1-111-1-1111-1-11111-1-1
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11-11-11-111-1-111-1-111-1-11-1-11111-1-1
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-111111-1-1-1-1-1-111
χ17222222222222222222222222222222000000000000-2-20000000000000000000000-2-2-2000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000-2-2000000000000000000000022-2000000
χ192222-2-222-2-222222222-2-2-2-22222-2-2-2-2000000000000-2-200000000000000000000002-22000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-22222000000000000-2-20000000000000000000000-222000000
χ212-22-22-22i−2i2i−2i22-22-2-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000−i2−i2i2i20000000000000000000002−2−i2i22−2
χ222-22-22-22i−2i2i−2i22-22-2-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000i2i2−i2−i2000000000000000000000−22i2−i2−22
χ232-22-22-2−2i2i−2i2i22-22-2-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000−i2−i2i2i2000000000000000000000−22−i2i2−22
χ242-22-22-2−2i2i−2i2i22-22-2-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000i2i2−i2−i20000000000000000000002−2i2−i22−2
χ252-22-2-222i−2i−2i2i22-22-2-22-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000−i2−i2i2i20000000000000000000002−2i2−i2−22
χ262-22-2-222i−2i−2i2i22-22-2-22-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000i2i2−i2−i2000000000000000000000−22−i2i22−2
χ272-22-2-22−2i2i2i−2i22-22-2-22-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000−i2−i2i2i2000000000000000000000−22i2−i22−2
χ282-22-2-22−2i2i2i−2i22-22-2-22-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000i2i2−i2−i20000000000000000000002−2−i2i2−22
χ292-2-2200000022-2-22-2-220000000000002i−2i2-22i2i−2i−2i22-2-22-22i−2i2i−2i000000000000000000000000000
χ302-2-2200000022-2-22-2-220000000000002i−2i-222i2i−2i−2i-2-2222-2−2i2i−2i2i000000000000000000000000000
χ312-2-2200000022-2-22-2-22000000000000−2i2i2-2−2i−2i2i2i22-2-22-2−2i2i−2i2i000000000000000000000000000
χ322-2-2200000022-2-22-2-22000000000000−2i2i-22−2i−2i2i2i-2-2222-22i−2i2i−2i000000000000000000000000000
χ3344444444441-2-2-2111-211-2-2-2-21111-2-22200-1-1-1-100000000000220200000-1-1-1-1-1-100000000000
χ3444444444441-2-2-2111-211-2-2-2-21111-2-2-2-200111100000000000-2-20-20000011111100000000000
χ354444444444-2111-2-2-21-2-21111-2-2-2-21100220000-1-1-1-1000000200202-1-1-1-1000000-1-1000000000
χ364444444444-2111-2-2-21-2-21111-2-2-2-21100-2-200001111000000-200-20-2111100000011000000000
χ37444444-4-4-4-41-2-2-2111-211-2-222-1-1-1-1222200-1-1-1-100000000000-220-2000001111-1-100000000000
χ38444444-4-4-4-41-2-2-2111-211-2-222-1-1-1-122-2-2001111000000000002-20200000-1-1-1-11100000000000
χ39444444-4-4-4-4-2111-2-2-21-2-211-1-12222-1-100220000-1-1-1-1000000-200-2021111000000-1-1000000000
χ40444444-4-4-4-4-2111-2-2-21-2-211-1-12222-1-100-2-20000111100000020020-2-1-1-1-100000011000000000
χ414444-4-444-4-41-2-2-2111-2-1-122-2-211-1-1222200-1-1-1-100000000000-2-20200000-1-1111100000000000
χ424444-4-444-4-41-2-2-2111-2-1-122-2-211-1-122-2-200111100000000000220-20000011-1-1-1-100000000000
χ434444-4-444-4-4-2111-2-2-2122-1-111-2-222-1-100220000-1-1-1-1000000-20020-211-1-100000011000000000
χ444444-4-444-4-4-2111-2-2-2122-1-111-2-222-1-100-2-200001111000000200-202-1-111000000-1-1000000000
χ454444-4-4-4-4441-2-2-2111-2-1-12222-1-111-2-22200-1-1-1-1000000000002-20-20000011-1-11100000000000
χ464444-4-4-4-4441-2-2-2111-2-1-12222-1-111-2-2-2-200111100000000000-220200000-1-111-1-100000000000
χ474444-4-4-4-444-2111-2-2-2122-1-1-1-122-2-21100220000-1-1-1-1000000200-20-2-1-11100000011000000000
χ484444-4-4-4-444-2111-2-2-2122-1-1-1-122-2-21100-2-200001111000000-20020211-1-1000000-1-1000000000
χ4944-4-4000000444-4-44-4-40000000000000000000000000022−22−2222000000000000000000000000000
χ5044-4-4000000444-4-44-4-400000000000000000000000000−222222−22000000000000000000000000000
χ514-44-44-44i−4i4i−4i1-22-2-1-1121-1-22−2i2ii−ii−i−2i2i0000−i3i3−i3i3000000000000000000003−33−3−i3i300000000000
χ524-44-44-44i−4i4i−4i1-22-2-1-1121-1-22−2i2ii−ii−i−2i2i0000i3−i3i3−i300000000000000000000−33−33i3−i300000000000
χ534-44-44-44i−4i4i−4i-21-1122-2-1-221-1i−i−2i2i−2i2ii−i000000003−33−3000000000000−i3i3−i3i30000003−3000000000
χ544-44-44-44i−4i4i−4i-21-1122-2-1-221-1i−i−2i2i−2i2ii−i00000000−33−33000000000000i3−i3i3−i3000000−33000000000
χ554-44-44-4−4i4i−4i4i1-22-2-1-1121-1-222i−2i−ii−ii2i−2i0000−i3i3−i3i300000000000000000000−33−33−i3i300000000000
χ564-44-44-4−4i4i−4i4i1-22-2-1-1121-1-222i−2i−ii−ii2i−2i0000i3−i3i3−i3000000000000000000003−33−3i3−i300000000000
χ574-44-44-4−4i4i−4i4i-21-1122-2-1-221-1−ii2i−2i2i−2i−ii000000003−33−3000000000000i3−i3i3−i30000003−3000000000
χ584-44-44-4−4i4i−4i4i-21-1122-2-1-221-1−ii2i−2i2i−2i−ii00000000−33−33000000000000−i3i3−i3i3000000−33000000000
χ594-44-4-444i−4i−4i4i1-22-2-1-112-112-2−2i2ii−i−ii2i−2i0000−i3i3−i3i3000000000000000000003−3−33i3−i300000000000
χ604-44-4-444i−4i−4i4i1-22-2-1-112-112-2−2i2ii−i−ii2i−2i0000i3−i3i3−i300000000000000000000−333−3−i3i300000000000
χ614-44-4-444i−4i−4i4i-21-1122-2-12-2-11i−i−2i2i2i−2i−ii000000003−33−3000000000000i3−i3−i3i3000000−33000000000
χ624-44-4-444i−4i−4i4i-21-1122-2-12-2-11i−i−2i2i2i−2i−ii00000000−33−33000000000000−i3i3i3−i30000003−3000000000
χ634-44-4-44−4i4i4i−4i1-22-2-1-112-112-22i−2i−iii−i−2i2i0000−i3i3−i3i300000000000000000000−333−3i3−i300000000000
χ644-44-4-44−4i4i4i−4i1-22-2-1-112-112-22i−2i−iii−i−2i2i0000i3−i3i3−i3000000000000000000003−3−33−i3i300000000000
χ654-44-4-44−4i4i4i−4i-21-1122-2-12-2-11−ii2i−2i−2i2ii−i000000003−33−3000000000000−i3i3i3−i3000000−33000000000
χ664-44-4-44−4i4i4i−4i-21-1122-2-12-2-11−ii2i−2i−2i2ii−i00000000−33−33000000000000i3−i3−i3i30000003−3000000000
χ674-4-4400000044-4-44-4-44000000000000000000000000-440000000000000000000000000000000
χ6888-8-80000002-4-44-22-24000000000000000023−23−23230000000000000000000000000000000000000
χ6988-8-80000002-4-44-22-240000000000000000−232323−230000000000000000000000000000000000000
χ7088-8-8000000-422-24-44-20000000000000000000023−23−2323000000000000000000000000000000000
χ7188-8-8000000-422-24-44-200000000000000000000−232323−23000000000000000000000000000000000
χ728-8-880000002-4442-2-2-40000000000004i−4i00−2i−2i2i2i0000000000000000000000000000000000000
χ738-8-880000002-4442-2-2-4000000000000−4i4i002i2i−2i−2i0000000000000000000000000000000000000
χ748-8-88000000-42-2-2-4442000000000000004-40000-2-222000000000000000000000000000000000
χ758-8-88000000-42-2-2-444200000000000000-44000022-2-2000000000000000000000000000000000

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