Finite Group Databasebeta

← Group #11895703

Character table — Group #11895703

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222244444444888888888888121212121212121212121212181818181818242424242424242424242424242424242424363636363636363636
order1222444444336666661212121212121212121212124444121212121212121244888822444466661212121212121212444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1
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
χ5111111-1-1-1-111111111-1-11111-1-1-1-1-1-11111111111111111111-1-1-11-111-1-1-1-1-1-111-1-1-11-111-1-1-1-1
χ6111111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-11-1-1-11111-1-111-1-1-11-1-1-11111
χ7111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-11-1111-1-1-1-111-1-111-11-1-1-11111
χ8111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-11-1-1111111-1-111-11-111-1-1-1-1
χ91111-1-111-1-111111111-1-1-1-1-1-11111-1-1111111111111111111-11-1-1-11-1-111-1-1-1-1-1-111-1-11-1-111-1-1
χ101111-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-11-11-1-1111-1-111-1-1-1-111-1-1111-1-111
χ111111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-111-1-1-111-1-11111-1-1-1-1111-1-111
χ121111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111-111-1-1111111-1-1-1-11-1-111-1-1
χ131111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111
χ141111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-11-1-11111-1-111-1-1-1-11-1-11111-1-1
χ151111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-111-1-111111-1-11111-1-1
χ161111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111111-1-1-1-1-1-111
χ17222222222222222222222222222222000000000000-2-20000000000000000000000-2-2-2000000
χ18222222-2-2-2-222222222-2-22222-2-2-2-2-2-2000000000000-2-200000000000000000000002-22000000
χ192222-2-222-2-222222222-2-2-2-2-2-22222-2-2000000000000-2-2000000000000000000000022-2000000
χ202222-2-2-2-2222222222222-2-2-2-2-2-2-2-222000000000000-2-20000000000000000000000-222000000
χ2122-2-200000022-222-2-2-20000000000002-22i−2i22-2-22i2i−2i−2i-222i2i−2i−2i000000000000000000000000000
χ2222-2-200000022-222-2-2-20000000000002-2−2i2i22-2-2−2i−2i2i2i-22−2i−2i2i2i000000000000000000000000000
χ2322-2-200000022-222-2-2-2000000000000-222i−2i-2-2222i2i−2i−2i-22−2i−2i2i2i000000000000000000000000000
χ2422-2-200000022-222-2-2-2000000000000-22−2i2i-2-222−2i−2i2i2i-222i2i−2i−2i000000000000000000000000000
χ252-2-222i−2i2i−2i2-2222-2-2-2-222-22i2i−2i−2i2i2i−2i−2i2-2000000000000002−22−2000000000000000000000−i2i2−i2i22−2
χ262-2-222i−2i2i−2i2-2222-2-2-2-222-22i2i−2i−2i2i2i−2i−2i2-200000000000000−22−22000000000000000000000i2−i2i2−i2−22
χ272-2-222i−2i−2i2i-22222-2-2-2-22-222i2i−2i−2i−2i−2i2i2i-22000000000000002−22−2000000000000000000000−i2i2i2−i2−22
χ282-2-222i−2i−2i2i-22222-2-2-2-22-222i2i−2i−2i−2i−2i2i2i-2200000000000000−22−22000000000000000000000i2−i2−i2i22−2
χ292-2-22−2i2i2i−2i-22222-2-2-2-22-22−2i−2i2i2i2i2i−2i−2i-22000000000000002−22−2000000000000000000000i2−i2−i2i2−22
χ302-2-22−2i2i2i−2i-22222-2-2-2-22-22−2i−2i2i2i2i2i−2i−2i-2200000000000000−22−22000000000000000000000−i2i2i2−i22−2
χ312-2-22−2i2i−2i2i2-2222-2-2-2-222-2−2i−2i2i2i−2i−2i2i2i2-2000000000000002−22−2000000000000000000000i2−i2i2−i22−2
χ322-2-22−2i2i−2i2i2-2222-2-2-2-222-2−2i−2i2i2i−2i−2i2i2i2-200000000000000−22−22000000000000000000000−i2i2−i2i2−22
χ3344444444441-2-21-21-21-2-21-21-21-21-2112200-1-1-1-10000000000000222000000-1-1-1-1-1-1000000000
χ3444444444441-2-21-21-21-2-21-21-21-21-211-2-20011110000000000000-2-2-2000000111111000000000
χ354444444444-211-21-21-211-21-21-21-21-2-200220000-1-1-1-1000000222000-1-1-1-1-1-1000000000000000
χ364444444444-211-21-21-211-21-21-21-21-2-200-2-200001111000000-2-2-2000111111000000000000000
χ37444444-4-4-4-41-2-21-21-21221-21-2-12-12-1-12200-1-1-1-10000000000000-22-200000011-1-111000000000
χ38444444-4-4-4-41-2-21-21-21221-21-2-12-12-1-1-2-200111100000000000002-22000000-1-111-1-1000000000
χ39444444-4-4-4-4-211-21-21-2-1-1-21-212-12-12200220000-1-1-1-10000002-2-2000-1-11111000000000000000
χ40444444-4-4-4-4-211-21-21-2-1-1-21-212-12-12200-2-200001111000000-22200011-1-1-1-1000000000000000
χ414444-4-444-4-41-2-21-21-2122-12-121-21-2-1-12200-1-1-1-10000000000000-2-220000001111-1-1000000000
χ424444-4-444-4-41-2-21-21-2122-12-121-21-2-1-1-2-2001111000000000000022-2000000-1-1-1-111000000000
χ434444-4-444-4-4-211-21-21-2-1-12-12-1-21-212200220000-1-1-1-1000000-22-200011-1-111000000000000000
χ444444-4-444-4-4-211-21-21-2-1-12-12-1-21-212200-2-2000011110000002-22000-1-111-1-1000000000000000
χ454444-4-4-4-4441-2-21-21-21-2-2-12-12-12-12112200-1-1-1-100000000000002-2-2000000-1-11111000000000
χ464444-4-4-4-4441-2-21-21-21-2-2-12-12-12-1211-2-20011110000000000000-22200000011-1-1-1-1000000000
χ474444-4-4-4-444-211-21-21-2112-12-12-12-1-2-200220000-1-1-1-1000000-2-220001111-1-1000000000000000
χ484444-4-4-4-444-211-21-21-2112-12-12-12-1-2-200-2-20000111100000022-2000-1-1-1-111000000000000000
χ4944-4-400000044-444-4-4-40000000000000000000000004-40000000000000000000000000000000
χ504-44-400000044-4-4-444-400000000000000000000000000−2i22i22i2−2i2000000000000000000000000000
χ514-44-400000044-4-4-444-4000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000
χ524-4-444i−4i4i−4i4-41-2-2-12-121-22i−2i−i2ii−2i−i2i1-100003−33−300000000000000000000003−3−i3i3−i3i3000000000
χ534-4-444i−4i4i−4i4-41-2-2-12-121-22i−2i−i2ii−2i−i2i1-10000−33−330000000000000000000000−33i3−i3i3−i3000000000
χ544-4-444i−4i4i−4i4-4-2112-12-1-21-1−2ii2i−i−2ii2i−i-22000000003−33−3000000000000−i3i3−i3i33−3000000000000000
χ554-4-444i−4i4i−4i4-4-2112-12-1-21-1−2ii2i−i−2ii2i−i-2200000000−33−33000000000000i3−i3i3−i3−33000000000000000
χ564-4-444i−4i−4i4i-441-2-2-12-1212-2i−2i−i2i−i2ii−2i-1100003−33−30000000000000000000000−33−i3i3i3−i3000000000
χ574-4-444i−4i−4i4i-441-2-2-12-1212-2i−2i−i2i−i2ii−2i-110000−33−3300000000000000000000003−3i3−i3−i3i3000000000
χ584-4-444i−4i−4i4i-44-2112-12-1-2-11−2ii2i−i2i−i−2ii2-2000000003−33−3000000000000−i3i3i3−i3−33000000000000000
χ594-4-444i−4i−4i4i-44-2112-12-1-2-11−2ii2i−i2i−i−2ii2-200000000−33−33000000000000i3−i3−i3i33−3000000000000000
χ604-4-44−4i4i4i−4i-441-2-2-12-1212-2−i2ii−2ii−2i−i2i-1100003−33−30000000000000000000000−33i3−i3−i3i3000000000
χ614-4-44−4i4i4i−4i-441-2-2-12-1212-2−i2ii−2ii−2i−i2i-110000−33−3300000000000000000000003−3−i3i3i3−i3000000000
χ624-4-44−4i4i4i−4i-44-2112-12-1-2-112i−i−2ii−2ii2i−i2-2000000003−33−3000000000000i3−i3−i3i3−33000000000000000
χ634-4-44−4i4i4i−4i-44-2112-12-1-2-112i−i−2ii−2ii2i−i2-200000000−33−33000000000000−i3i3i3−i33−3000000000000000
χ644-4-44−4i4i−4i4i4-41-2-2-12-121-22−i2ii−2i−i2ii−2i1-100003−33−300000000000000000000003−3i3−i3i3−i3000000000
χ654-4-44−4i4i−4i4i4-41-2-2-12-121-22−i2ii−2i−i2ii−2i1-10000−33−330000000000000000000000−33−i3i3−i3i3000000000
χ664-4-44−4i4i−4i4i4-4-2112-12-1-21-12i−i−2ii2i−i−2ii-22000000003−33−3000000000000i3−i3i3−i33−3000000000000000
χ674-4-44−4i4i−4i4i4-4-2112-12-1-21-12i−i−2ii2i−i−2ii-2200000000−33−33000000000000−i3i3−i3i3−33000000000000000
χ6888-8-80000002-442-4-24-20000000000004-400-2-2220000000000000000000000000000000000000
χ6988-8-80000002-442-4-24-2000000000000-440022-2-20000000000000000000000000000000000000
χ7088-8-8000000-42-2-424-24000000000000004i−4i0000−2i−2i2i2i000000000000000000000000000000000
χ7188-8-8000000-42-2-424-2400000000000000−4i4i00002i2i−2i−2i000000000000000000000000000000000
χ728-88-80000002-44-242-4-2000000000000000023−23−23230000000000000000000000000000000000000
χ738-88-80000002-44-242-4-20000000000000000−232323−230000000000000000000000000000000000000
χ748-88-8000000-42-24-2-42400000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ758-88-8000000-42-24-2-424000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000

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