Finite Group Databasebeta

← Group #11875005

Character table — Group #11875005

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order12224444444433666666121212121212121212121212121212122244444488888888888888884444444412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-11-1111-1-111-1-1-1-111-1-111
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1-1-111-1-11111-1-111-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-111
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000
χ192222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-20000000000000000000000000000000000000000
χ202222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2122-2-222-2-200002222-2-2-2-22222-2-2-2-2000000002-200002-20000000022-2-222-2-2000000000000000000000000
χ2222-2-222-2-200002222-2-2-2-22222-2-2-2-2000000002-200002-200000000-2-222-2-222000000000000000000000000
χ2322-2-222-2-200002222-2-2-2-22222-2-2-2-200000000-220000-2222-2-222-2-200000000000000000000000000000000
χ2422-2-222-2-200002222-2-2-2-22222-2-2-2-200000000-220000-22-2-222-2-22200000000000000000000000000000000
χ2522-2-2-2-22200002222-2-2-2-2-2-2-2-22222000000002-20000-2222-2-2-2-22200000000000000000000000000000000
χ2622-2-2-2-22200002222-2-2-2-2-2-2-2-22222000000002-20000-22-2-22222-2-200000000000000000000000000000000
χ2722-2-2-2-22200002222-2-2-2-2-2-2-2-2222200000000-2200002-20000000022-2-2-2-222000000000000000000000000
χ2822-2-2-2-22200002222-2-2-2-2-2-2-2-2222200000000-2200002-200000000-2-22222-2-2000000000000000000000000
χ292-22-22i−2i2i−2i000022-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000002i−2i2-2002−22−2−i2i2−i2i2−i2i2−i2i22−22−2000000000000000000000000
χ302-22-22i−2i2i−2i000022-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000002i−2i2-200−22−22i2−i2i2−i2i2−i2i2−i2−22−22000000000000000000000000
χ312-22-22i−2i2i−2i000022-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000−2i2i-22002−22−2−i2i2−i2i2i2−i2i2−i2−22−22000000000000000000000000
χ322-22-22i−2i2i−2i000022-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000−2i2i-2200−22−22i2−i2i2−i2−i2i2−i2i22−22−2000000000000000000000000
χ332-22-2−2i2i−2i2i000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000002i−2i-22002−22−2i2−i2i2−i2−i2i2−i2i2−22−22000000000000000000000000
χ342-22-2−2i2i−2i2i000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000002i−2i-2200−22−22−i2i2−i2i2i2−i2i2−i22−22−2000000000000000000000000
χ352-22-2−2i2i−2i2i000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000−2i2i2-2002−22−2i2−i2i2−i2i2−i2i2−i22−22−2000000000000000000000000
χ362-22-2−2i2i−2i2i000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000−2i2i2-200−22−22−i2i2−i2i2−i2i2−i2i2−22−22000000000000000000000000
χ372-2-222i−2i−2i2i2i−2i2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i22-2-2000000002−2−22−i2i2i2−i2−i2i2i2−i22−2−22000000000000000000000000
χ382-2-222i−2i−2i2i2i−2i2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i22-2-200000000−222−2i2−i2−i2i2i2−i2−i2i2−222−2000000000000000000000000
χ392-2-222i−2i−2i2i−2i2i-2222-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-222000000002−2−22−i2i2i2−i2i2−i2−i2i2−222−2000000000000000000000000
χ402-2-222i−2i−2i2i−2i2i-2222-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-22200000000−222−2i2−i2−i2i2−i2i2i2−i22−2−22000000000000000000000000
χ412-2-22−2i2i2i−2i2i−2i-2222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-222000000002−2−22i2−i2−i2i2−i2i2i2−i2−222−2000000000000000000000000
χ422-2-22−2i2i2i−2i2i−2i-2222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-22200000000−222−2−i2i2i2−i2i2−i2−i2i22−2−22000000000000000000000000
χ432-2-22−2i2i2i−2i−2i2i2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-2000000002−2−22i2−i2−i2i2i2−i2−i2i22−2−22000000000000000000000000
χ442-2-22−2i2i2i−2i−2i2i2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-200000000−222−2−i2i2i2−i2−i2i2i2−i2−222−2000000000000000000000000
χ454444444444441-21-21-21-21-21-21-21-21-21-21-21-20000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ464444444444441-21-21-21-21-21-21-21-21-21-21-21-20000000000000000000000000000-2-2-2-20000000011111111
χ47444444444444-21-21-21-21-21-21-21-21-21-21-21-2100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ48444444444444-21-21-21-21-21-21-21-21-21-21-21-21000000000000000000000000-2-2-2-200001111111100000000
χ4944444444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-12000000000000000000000000000022-2-200000000-1-1-1-11111
χ5044444444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-120000000000000000000000000000-2-222000000001111-1-1-1-1
χ5144444444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-100000000000000000000000022-2-20000-1-1-1-1111100000000
χ5244444444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-1000000000000000000000000-2-22200001111-1-1-1-100000000
χ534444-4-4-4-444-4-41-21-21-21-2-12-12-12-121-21-2-12-1200000000000000000000000000002-22-200000000-1-111-1-111
χ544444-4-4-4-444-4-41-21-21-21-2-12-12-12-121-21-2-12-120000000000000000000000000000-22-220000000011-1-111-1-1
χ554444-4-4-4-444-4-4-21-21-21-212-12-12-12-1-21-212-12-10000000000000000000000002-22-20000-1-111-1-11100000000
χ564444-4-4-4-444-4-4-21-21-21-212-12-12-12-1-21-212-12-1000000000000000000000000-22-22000011-1-111-1-100000000
χ574444-4-4-4-4-4-4441-21-21-21-2-12-12-12-12-12-121-21-200000000000000000000000000002-2-2200000000-1-11111-1-1
χ584444-4-4-4-4-4-4441-21-21-21-2-12-12-12-12-12-121-21-20000000000000000000000000000-222-20000000011-1-1-1-111
χ594444-4-4-4-4-4-444-21-21-21-212-12-12-12-12-12-1-21-210000000000000000000000002-2-220000-1-11111-1-100000000
χ604444-4-4-4-4-4-444-21-21-21-212-12-12-12-12-12-1-21-21000000000000000000000000-222-2000011-1-1-1-11100000000
χ614-4-444i−4i−4i4i4i−4i4-41-2-12-121-2i−2i−i2i−i2ii−2ii−2i−i2i1-2-1200000000000000000000000000000000000000003−3−i3i3−i3i33−3
χ624-4-444i−4i−4i4i4i−4i4-41-2-12-121-2i−2i−i2i−i2ii−2ii−2i−i2i1-2-120000000000000000000000000000000000000000−33i3−i3i3−i3−33
χ634-4-444i−4i−4i4i4i−4i4-4-212-12-1-21−2ii2i−i2i−i−2ii−2ii2i−i-212-1000000000000000000000000000000003−3−i3i3−i3i33−300000000
χ644-4-444i−4i−4i4i4i−4i4-4-212-12-1-21−2ii2i−i2i−i−2ii−2ii2i−i-212-100000000000000000000000000000000−33i3−i3i3−i3−3300000000
χ654-4-444i−4i−4i4i−4i4i-441-2-12-121-2i−2i−i2i−i2ii−2i−i2ii−2i-121-200000000000000000000000000000000000000003−3−i3i3i3−i3−33
χ664-4-444i−4i−4i4i−4i4i-441-2-12-121-2i−2i−i2i−i2ii−2i−i2ii−2i-121-20000000000000000000000000000000000000000−33i3−i3−i3i33−3
χ674-4-444i−4i−4i4i−4i4i-44-212-12-1-21−2ii2i−i2i−i−2ii2i−i−2ii2-1-21000000000000000000000000000000003−3−i3i3i3−i3−3300000000
χ684-4-444i−4i−4i4i−4i4i-44-212-12-1-21−2ii2i−i2i−i−2ii2i−i−2ii2-1-2100000000000000000000000000000000−33i3−i3−i3i33−300000000
χ694-4-44−4i4i4i−4i4i−4i-441-2-12-121-2−i2ii−2ii−2i−i2ii−2i−i2i-121-200000000000000000000000000000000000000003−3i3−i3−i3i3−33
χ704-4-44−4i4i4i−4i4i−4i-441-2-12-121-2−i2ii−2ii−2i−i2ii−2i−i2i-121-20000000000000000000000000000000000000000−33−i3i3i3−i33−3
χ714-4-44−4i4i4i−4i4i−4i-44-212-12-1-212i−i−2ii−2ii2i−i−2ii2i−i2-1-21000000000000000000000000000000003−3i3−i3−i3i3−3300000000
χ724-4-44−4i4i4i−4i4i−4i-44-212-12-1-212i−i−2ii−2ii2i−i−2ii2i−i2-1-2100000000000000000000000000000000−33−i3i3i3−i33−300000000
χ734-4-44−4i4i4i−4i−4i4i4-41-2-12-121-2−i2ii−2ii−2i−i2i−i2ii−2i1-2-1200000000000000000000000000000000000000003−3i3−i3i3−i33−3
χ744-4-44−4i4i4i−4i−4i4i4-41-2-12-121-2−i2ii−2ii−2i−i2i−i2ii−2i1-2-120000000000000000000000000000000000000000−33−i3i3−i3i3−33
χ754-4-44−4i4i4i−4i−4i4i4-4-212-12-1-212i−i−2ii−2ii2i−i2i−i−2ii-212-1000000000000000000000000000000003−3i3−i3i3−i33−300000000
χ764-4-44−4i4i4i−4i−4i4i4-4-212-12-1-212i−i−2ii−2ii2i−i2i−i−2ii-212-100000000000000000000000000000000−33−i3i3−i3i3−3300000000
χ7788-8-888-8-800002-42-4-24-242-42-4-24-2400000000000000000000000000000000000000000000000000000000
χ7888-8-888-8-80000-42-424-24-2-42-424-24-200000000000000000000000000000000000000000000000000000000
χ7988-8-8-8-88800002-42-4-24-24-24-242-42-400000000000000000000000000000000000000000000000000000000
χ8088-8-8-8-8880000-42-424-24-24-24-2-42-4200000000000000000000000000000000000000000000000000000000
χ818-88-88i−8i8i−8i00002-4-242-4-242i−4i−2i4i2i−4i−2i4i00000000000000000000000000000000000000000000000000000000
χ828-88-88i−8i8i−8i0000-424-2-424-2−4i2i4i−2i−4i2i4i−2i00000000000000000000000000000000000000000000000000000000
χ838-88-8−8i8i−8i8i00002-4-242-4-24−2i4i2i−4i−2i4i2i−4i00000000000000000000000000000000000000000000000000000000
χ848-88-8−8i8i−8i8i0000-424-2-424-24i−2i−4i2i4i−2i−4i2i00000000000000000000000000000000000000000000000000000000

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