Finite Group Databasebeta

← Group #11886554

Character table — Group #11886554

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222244444444888888888888121212121212121212121212181818181818242424242424242424242424242424242424363636363636363636
order122244444433666666121212121212121212121212444412121212121212124488882222446666666612121212224888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-111-1-11-11111-1-1-1-111-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-111-11-1-1-1-11111-1-111111-1-1-1-1-1-1
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
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-11-1-11111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-1-1-111-1-11-1-11111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1111-1-1-1-1
χ91111-1-111-1-111111111-1-1-1-11111-1-1-1-11111111111111111111-11-1-1-111-1-111-1-1-1-1-1-11-1-1-1-111-1-1
χ101111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-1-11-1111-1-1-1-111-1-1111-1-111-1-111
χ111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-11-1-1-11111-1-111-1-11-1-111-1-111
χ121111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-111-1-11111111-1-1-1-111-1-1
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-11-11-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1-111
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-111-1-11-1-11111-1-1-1-111-11-11111-1-1
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11-1-111-111-1-1-1-11111-1-1-11-11111-1-1
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11111-1-111-1-11111-11-1-1-1-1-111
χ17222222222222222222222222222222000000000000-2-20000000000000000000000-2-2-2000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000-2-2000000000000000000000022-2000000
χ192222-2-222-2-222222222-2-2-2-22222-2-2-2-2000000000000-2-20000000000000000000000-222000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-22222000000000000-2-200000000000000000000002-22000000
χ2122-2-22-22i−2i2i−2i2222-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000022−2−20000000000000000000002−2−i2i2−i2i2
χ2222-2-22-22i−2i2i−2i2222-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000−2−222000000000000000000000−22i2−i2i2−i2
χ2322-2-22-2−2i2i−2i2i2222-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000022−2−20000000000000000000002−2i2−i2i2−i2
χ2422-2-22-2−2i2i−2i2i2222-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000−2−222000000000000000000000−22−i2i2−i2i2
χ2522-2-2-222i−2i−2i2i2222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000022−2−2000000000000000000000−22−i2i2i2−i2
χ2622-2-2-222i−2i−2i2i2222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000000000−2−2220000000000000000000002−2i2−i2−i2i2
χ2722-2-2-22−2i2i2i−2i2222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000000022−2−2000000000000000000000−22i2−i2−i2i2
χ2822-2-2-22−2i2i2i−2i2222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000000000−2−2220000000000000000000002−2−i2i2i2−i2
χ292-2-2200000022-2-2-2-2220000000000002-22-222-2-222-2-2-222-22-2000000000000000000000000000
χ302-2-2200000022-2-2-2-2220000000000002-2-2222-2-2-2-222-22-22-22000000000000000000000000000
χ312-2-2200000022-2-2-2-222000000000000-222-2-2-22222-2-2-22-22-22000000000000000000000000000
χ322-2-2200000022-2-2-2-222000000000000-22-22-2-222-2-222-222-22-2000000000000000000000000000
χ3344444444441-21-21-21-21-21-21-21-21-21-200220000-1-1-1-10000000022020000-1-1-1-100-1-1000000000
χ3444444444441-21-21-21-21-21-21-21-21-21-200-2-20000111100000000-2-20-2000011110011000000000
χ354444444444-21-21-21-21-21-21-21-21-21-212200-1-1-1-10000000000220020-1-1-1-10000-1-100000000000
χ364444444444-21-21-21-21-21-21-21-21-21-21-2-20011110000000000-2-200-20111100001100000000000
χ37444444-4-4-4-41-21-21-21-21-21-2-12-12-12-1200220000-1-1-1-100000000-2-2020000111100-1-1000000000
χ38444444-4-4-4-41-21-21-21-21-21-2-12-12-12-1200-2-20000111100000000220-20000-1-1-1-10011000000000
χ39444444-4-4-4-4-21-21-21-21-21-212-12-12-12-12200-1-1-1-10000000000-2-2002011110000-1-100000000000
χ40444444-4-4-4-4-21-21-21-21-21-212-12-12-12-1-2-200111100000000002200-20-1-1-1-100001100000000000
χ414444-4-444-4-41-21-21-21-2-12-121-21-2-12-1200220000-1-1-1-1000000002-20-20000-1-1110011000000000
χ424444-4-444-4-41-21-21-21-2-12-121-21-2-12-1200-2-20000111100000000-2202000011-1-100-1-1000000000
χ434444-4-444-4-4-21-21-21-212-12-1-21-212-12-12200-1-1-1-100000000002-200-20-1-11100001100000000000
χ444444-4-444-4-4-21-21-21-212-12-1-21-212-12-1-2-20011110000000000-22002011-1-10000-1-100000000000
χ454444-4-4-4-4441-21-21-21-2-12-12-12-121-21-200220000-1-1-1-100000000-220-2000011-1-10011000000000
χ464444-4-4-4-4441-21-21-21-2-12-12-12-121-21-200-2-200001111000000002-2020000-1-11100-1-1000000000
χ474444-4-4-4-444-21-21-21-212-12-12-12-1-21-212200-1-1-1-10000000000-2200-2011-1-100001100000000000
χ484444-4-4-4-444-21-21-21-212-12-12-12-1-21-21-2-200111100000000002-20020-1-1110000-1-100000000000
χ4944-4-44-44i−4i4i−4i1-21-2-12-121-2-12i−2i−i2ii−2i−i2i000000003−33−30000000000000000−i3i3−i3i3003−3000000000
χ5044-4-44-44i−4i4i−4i1-21-2-12-121-2-12i−2i−i2ii−2i−i2i00000000−33−330000000000000000i3−i3i3−i300−33000000000
χ5144-4-44-44i−4i4i−4i-21-212-12-1-212-1−2ii2i−i−2ii2i−i00003−33−30000000000000000−i3i3−i3i300003−300000000000
χ5244-4-44-44i−4i4i−4i-21-212-12-1-212-1−2ii2i−i−2ii2i−i0000−33−330000000000000000i3−i3i3−i30000−3300000000000
χ5344-4-44-4−4i4i−4i4i1-21-2-12-121-2-12−i2ii−2i−i2ii−2i000000003−33−30000000000000000i3−i3i3−i3003−3000000000
χ5444-4-44-4−4i4i−4i4i1-21-2-12-121-2-12−i2ii−2i−i2ii−2i00000000−33−330000000000000000−i3i3−i3i300−33000000000
χ5544-4-44-4−4i4i−4i4i-21-212-12-1-212-12i−i−2ii2i−i−2ii00003−33−30000000000000000i3−i3i3−i300003−300000000000
χ5644-4-44-4−4i4i−4i4i-21-212-12-1-212-12i−i−2ii2i−i−2ii0000−33−330000000000000000−i3i3−i3i30000−3300000000000
χ5744-4-4-444i−4i−4i4i1-21-2-12-12-121-2i−2i−i2i−i2ii−2i000000003−33−30000000000000000−i3i3i3−i300−33000000000
χ5844-4-4-444i−4i−4i4i1-21-2-12-12-121-2i−2i−i2i−i2ii−2i00000000−33−330000000000000000i3−i3−i3i3003−3000000000
χ5944-4-4-444i−4i−4i4i-21-212-12-12-1-21−2ii2i−i2i−i−2ii00003−33−30000000000000000−i3i3i3−i30000−3300000000000
χ6044-4-4-444i−4i−4i4i-21-212-12-12-1-21−2ii2i−i2i−i−2ii0000−33−330000000000000000i3−i3−i3i300003−300000000000
χ6144-4-4-44−4i4i4i−4i1-21-2-12-12-121-2−i2ii−2ii−2i−i2i000000003−33−30000000000000000i3−i3−i3i300−33000000000
χ6244-4-4-44−4i4i4i−4i1-21-2-12-12-121-2−i2ii−2ii−2i−i2i00000000−33−330000000000000000−i3i3i3−i3003−3000000000
χ6344-4-4-44−4i4i4i−4i-21-212-12-12-1-212i−i−2ii−2ii2i−i00003−33−30000000000000000i3−i3−i3i30000−3300000000000
χ6444-4-4-44−4i4i4i−4i-21-212-12-12-1-212i−i−2ii−2ii2i−i0000−33−330000000000000000−i3i3i3−i300003−300000000000
χ654-44-400000044-4-444-4-40000000000000000000000000022−22−2222000000000000000000000000000
χ664-44-400000044-4-444-4-400000000000000000000000000−222222−22000000000000000000000000000
χ674-4-4400000044-4-4-4-4440000000000000000000000004-40000000000000000000000000000000
χ688-88-80000002-4-242-4-240000000000000000000023−23−2323000000000000000000000000000000000
χ698-88-80000002-4-242-4-2400000000000000000000−232323−23000000000000000000000000000000000
χ708-88-8000000-424-2-424-2000000000000000023−23−23230000000000000000000000000000000000000
χ718-88-8000000-424-2-424-20000000000000000−232323−230000000000000000000000000000000000000
χ728-8-880000002-4-24-242-4000000000000004-40000-2-222000000000000000000000000000000000
χ738-8-880000002-4-24-242-400000000000000-44000022-2-2000000000000000000000000000000000
χ748-8-88000000-424-24-2-420000000000004-400-2-2220000000000000000000000000000000000000
χ758-8-88000000-424-24-2-42000000000000-440022-2-20000000000000000000000000000000000000

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