Finite Group Databasebeta

← Group #11808760

Character table — Group #11808760

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111114444444444444444448888888899999999121212121212121212121212121212122424242424242424242424242424242436363636363636363636
order122244443344666666121212121212121212121212121212122222444422222222444444446666666612121212121212124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ91111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-111-1-111-1-1
χ101111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11-1-1-111-1-111
χ111111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1111-1-1-111-1-111
χ121111-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11-111-1-111-1-1
χ131111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1111-1-1-1-111
χ141111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-11111-1-1
χ151111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-1-1
χ161111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002200000000
χ192222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2200000000
χ202222-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000002-200000000
χ2122-2-22i2i−2i−2i220022-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000022-2-22i2i−2i−2i002-20000002i−2i0000002-20000002i−2i00000000000000
χ2222-2-22i2i−2i−2i220022-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000022-2-22i2i−2i−2i00-22000000−2i2i000000-22000000−2i2i00000000000000
χ2322-2-22i2i−2i−2i220022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000-2-222−2i−2i2i2i2-20000002i−2i0000002-20000002i−2i0000000000000000
χ2422-2-22i2i−2i−2i220022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000-2-222−2i−2i2i2i-22000000−2i2i000000-22000000−2i2i0000000000000000
χ2522-2-2−2i−2i2i2i220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000022-2-2−2i−2i2i2i002-2000000−2i2i0000002-2000000−2i2i00000000000000
χ2622-2-2−2i−2i2i2i220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000022-2-2−2i−2i2i2i00-220000002i−2i000000-220000002i−2i00000000000000
χ2722-2-2−2i−2i2i2i220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000-2-2222i2i−2i−2i2-2000000−2i2i0000002-2000000−2i2i0000000000000000
χ2822-2-2−2i−2i2i2i220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000-2-2222i2i−2i−2i-220000002i−2i000000-220000002i−2i0000000000000000
χ292-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i000000002-22-22i−2i2i−2i0000002-20000002i−2i0000002-20000002i−2i0000000000
χ302-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i000000002-22-22i−2i2i−2i000000-22000000−2i2i000000-22000000−2i2i0000000000
χ312-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-22-22−2i2i−2i2i00002-20000002i−2i0000002-20000002i−2i000000000000
χ322-22-22i−2i2i−2i2200-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-22-22−2i2i−2i2i0000-22000000−2i2i000000-22000000−2i2i000000000000
χ332-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000002-22-2−2i2i−2i2i0000002-2000000−2i2i0000002-2000000−2i2i0000000000
χ342-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000002-22-2−2i2i−2i2i000000-220000002i−2i000000-220000002i−2i0000000000
χ352-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-22-222i−2i2i−2i00002-2000000−2i2i0000002-2000000−2i2i000000000000
χ362-22-2−2i2i−2i2i2200-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-22-222i−2i2i−2i0000-220000002i−2i000000-220000002i−2i000000000000
χ372-2-222-2-222200-2-2-2-22222-2-2-2-222000000002-2-222-2-2200000000000000000000000000000000002-22-20000
χ382-2-222-2-222200-2-2-2-22222-2-2-2-222000000002-2-222-2-220000000000000000000000000000000000-22-220000
χ392-2-222-2-222200-2-2-2-22222-2-2-2-22200000000-222-2-222-2000000000000000000000000000000000000002-22-2
χ402-2-222-2-222200-2-2-2-22222-2-2-2-22200000000-222-2-222-200000000000000000000000000000000000000-22-22
χ412-2-22-222-22200-2-2-2-222-2-22222-2-2000000002-2-22-222-200000000000000000000000000000000002-2-220000
χ422-2-22-222-22200-2-2-2-222-2-22222-2-2000000002-2-22-222-20000000000000000000000000000000000-222-20000
χ432-2-22-222-22200-2-2-2-222-2-22222-2-200000000-222-22-2-22000000000000000000000000000000000000002-2-22
χ442-2-22-222-22200-2-2-2-222-2-22222-2-200000000-222-22-2-2200000000000000000000000000000000000000-222-2
χ45444444441-2441-21-21-21-21-21-21-211-2-211-2-20000000000002222000022220000-1-1-1-10000-1-1-1-10000000000
χ46444444441-2441-21-21-21-21-21-21-211-2-211-2-2000000000000-2-2-2-20000-2-2-2-200001111000011110000000000
χ47444444441-2-4-41-21-21-21-21-21-21-2-1-122-1-12200000000000022-2-2000022-2-20000-1-1110000-1-1110000000000
χ48444444441-2-4-41-21-21-21-21-21-21-2-1-122-1-122000000000000-2-2220000-2-222000011-1-1000011-1-10000000000
χ4944444444-2144-21-21-21-21-21-21-21-2-211-2-211000000002222000022220000-1-1-1-10000-1-1-1-100000000000000
χ5044444444-2144-21-21-21-21-21-21-21-2-211-2-21100000000-2-2-2-20000-2-2-2-2000011110000111100000000000000
χ5144444444-21-4-4-21-21-21-21-21-21-2122-1-122-1-10000000022-2-2000022-2-20000-1-1110000-1-11100000000000000
χ5244444444-21-4-4-21-21-21-21-21-21-2122-1-122-1-100000000-2-2220000-2-222000011-1-1000011-1-100000000000000
χ534444-4-4-4-41-24-41-21-21-2-12-12-12-1211-2-2-1-12200000000000022-2-20000-2-2220000-1-111000011-1-10000000000
χ544444-4-4-4-41-24-41-21-21-2-12-12-12-1211-2-2-1-122000000000000-2-222000022-2-2000011-1-10000-1-1110000000000
χ554444-4-4-4-41-2-441-21-21-2-12-12-12-12-1-12211-2-200000000000022220000-2-2-2-20000-1-1-1-1000011110000000000
χ564444-4-4-4-41-2-441-21-21-2-12-12-12-12-1-12211-2-2000000000000-2-2-2-200002222000011110000-1-1-1-10000000000
χ574444-4-4-4-4-214-4-21-21-212-12-12-12-1-2-21122-1-10000000022220000-2-2-2-20000-1-1-1-10000111100000000000000
χ584444-4-4-4-4-214-4-21-21-212-12-12-12-1-2-21122-1-100000000-2-2-2-200002222000011110000-1-1-1-100000000000000
χ594444-4-4-4-4-21-44-21-21-212-12-12-12-122-1-1-2-2110000000022-2-20000-2-2220000-1-111000011-1-100000000000000
χ604444-4-4-4-4-21-44-21-21-212-12-12-12-122-1-1-2-21100000000-2-222000022-2-2000011-1-10000-1-11100000000000000
χ6144-4-44i4i−4i−4i-2100-212-12-1−2ii−2ii2i−i2i−i003-3003i−3i000000002-22-200002i−2i2i−2i0000-11-110000−ii−ii00000000000000
χ6244-4-44i4i−4i−4i-2100-212-12-1−2ii−2ii2i−i2i−i003-3003i−3i00000000-22-220000−2i2i−2i2i00001-11-10000i−ii−i00000000000000
χ6344-4-44i4i−4i−4i-2100-212-12-1−2ii−2ii2i−i2i−i00-3300−3i3i000000002-2-2200002i−2i−2i2i0000-111-10000−iii−i00000000000000
χ6444-4-44i4i−4i−4i-2100-212-12-1−2ii−2ii2i−i2i−i00-3300−3i3i00000000-222-20000−2i2i2i−2i00001-1-110000i−i−ii00000000000000
χ6544-4-4−4i−4i4i4i-2100-212-12-12i−i2i−i−2ii−2ii003-300−3i3i000000002-22-20000−2i2i−2i2i0000-11-110000i−ii−i00000000000000
χ6644-4-4−4i−4i4i4i-2100-212-12-12i−i2i−i−2ii−2ii003-300−3i3i00000000-22-2200002i−2i2i−2i00001-11-10000−ii−ii00000000000000
χ6744-4-4−4i−4i4i4i-2100-212-12-12i−i2i−i−2ii−2ii00-33003i−3i000000002-2-220000−2i2i2i−2i0000-111-10000i−i−ii00000000000000
χ6844-4-4−4i−4i4i4i-2100-212-12-12i−i2i−i−2ii−2ii00-33003i−3i00000000-222-200002i−2i−2i2i00001-1-110000−iii−i00000000000000
χ694-44-44i−4i4i−4i1-200-121-2-12i−2i−i2ii−2i−i2i3i−3i003-3000000000000002-22-200002i−2i2i−2i0000-11-110000−ii−ii0000000000
χ704-44-44i−4i4i−4i1-200-121-2-12i−2i−i2ii−2i−i2i3i−3i003-300000000000000-22-220000−2i2i−2i2i00001-11-10000i−ii−i0000000000
χ714-44-44i−4i4i−4i1-200-121-2-12i−2i−i2ii−2i−i2i−3i3i00-33000000000000002-2-2200002i−2i−2i2i0000-111-10000−iii−i0000000000
χ724-44-44i−4i4i−4i1-200-121-2-12i−2i−i2ii−2i−i2i−3i3i00-3300000000000000-222-20000−2i2i2i−2i00001-1-110000i−i−ii0000000000
χ734-44-4−4i4i−4i4i1-200-121-2-12−i2ii−2i−i2ii−2i3i−3i00-33000000000000002-2-220000−2i2i2i−2i0000-111-10000i−i−ii0000000000
χ744-44-4−4i4i−4i4i1-200-121-2-12−i2ii−2i−i2ii−2i3i−3i00-3300000000000000-222-200002i−2i−2i2i00001-1-110000−iii−i0000000000
χ754-44-4−4i4i−4i4i1-200-121-2-12−i2ii−2i−i2ii−2i−3i3i003-3000000000000002-22-20000−2i2i−2i2i0000-11-110000i−ii−i0000000000
χ764-44-4−4i4i−4i4i1-200-121-2-12−i2ii−2i−i2ii−2i−3i3i003-300000000000000-22-2200002i−2i2i−2i00001-11-10000−ii−ii0000000000
χ7788-8-88i8i−8i−8i2-4002-4-24-242i−4i2i−4i−2i4i−2i4i0000000000000000000000000000000000000000000000000000000000
χ7888-8-8−8i−8i8i8i2-4002-4-24-24−2i4i−2i4i2i−4i2i−4i0000000000000000000000000000000000000000000000000000000000
χ798-88-88i−8i8i−8i-42004-2-424-2−4i2i4i−2i−4i2i4i−2i0000000000000000000000000000000000000000000000000000000000
χ808-88-8−8i8i−8i8i-42004-2-424-24i−2i−4i2i4i−2i−4i2i0000000000000000000000000000000000000000000000000000000000
χ818-8-888-8-882-400-24-242-42-4-24-242-40000000000000000000000000000000000000000000000000000000000
χ828-8-888-8-88-42004-24-2-42-424-24-2-420000000000000000000000000000000000000000000000000000000000
χ838-8-88-888-82-400-24-242-4-242-42-4-240000000000000000000000000000000000000000000000000000000000
χ848-8-88-888-8-42004-24-2-424-2-42-424-20000000000000000000000000000000000000000000000000000000000

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