Finite Group Databasebeta

← Group #11776879

Character table — Group #11776879

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222444422443366666612121212121212126666121212124444444488888888888888888888888824242424242424242424242424242424
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
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
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−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
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−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
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−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
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−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
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
χ2122-2-222-2-22-22-222-2-2-2-22222-2-222-2-222-2-222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ2222-2-222-2-22-22-222-2-2-2-22222-2-222-2-222-2-222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ2322-2-222-2-2-22-2222-2-2-2-22222-2-222-2-2-2-222-2-22200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ2422-2-222-2-2-22-2222-2-2-2-22222-2-222-2-2-2-222-2-22200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ2522-2-2-2-2222-2-2222-2-2-2-222-2-222-2-22222-2-2-2-22200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2622-2-2-2-2222-2-2222-2-2-2-222-2-222-2-22222-2-2-2-22200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2722-2-2-2-222-222-222-2-2-2-222-2-222-2-222-2-22222-2-200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2822-2-2-2-222-222-222-2-2-2-222-2-222-2-222-2-22222-2-200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ292-22-22i−2i2i−2i00002222-2-2-2-22i−2i2i−2i2i−2i2i−2i00000000002i−2i2-2002−22−2−i2i2−i2i2−i2i2−i2i22−22−2000000000000000000000000
χ302-22-22i−2i2i−2i00002222-2-2-2-22i−2i2i−2i2i−2i2i−2i00000000002i−2i2-200−22−22i2−i2i2−i2i2−i2i2−i2−22−22000000000000000000000000
χ312-22-22i−2i2i−2i00002222-2-2-2-22i−2i2i−2i2i−2i2i−2i0000000000−2i2i-22002−22−2−i2i2−i2i2i2−i2i2−i2−22−22000000000000000000000000
χ322-22-22i−2i2i−2i00002222-2-2-2-22i−2i2i−2i2i−2i2i−2i0000000000−2i2i-2200−22−22i2−i2i2−i2−i2i2−i2i22−22−2000000000000000000000000
χ332-22-2−2i2i−2i2i00002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i00000000002i−2i-22002−22−2i2−i2i2−i2−i2i2−i2i2−22−22000000000000000000000000
χ342-22-2−2i2i−2i2i00002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i00000000002i−2i-2200−22−22−i2i2−i2i2i2−i2i2−i22−22−2000000000000000000000000
χ352-22-2−2i2i−2i2i00002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i0000000000−2i2i2-2002−22−2i2−i2i2−i2i2−i2i2−i22−22−2000000000000000000000000
χ362-22-2−2i2i−2i2i00002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i0000000000−2i2i2-200−22−22−i2i2−i2i2−i2i2−i2i2−22−22000000000000000000000000
χ372-2-222i−2i−2i2i000022-2-222-2-22i−2i−2i2i2i−2i−2i2i000000002i−2i00002-2000000002-2-222i−2i−2i2i000000000000000000000000
χ382-2-222i−2i−2i2i000022-2-222-2-22i−2i−2i2i2i−2i−2i2i000000002i−2i00002-200000000-222-2−2i2i2i−2i000000000000000000000000
χ392-2-222i−2i−2i2i000022-2-222-2-22i−2i−2i2i2i−2i−2i2i00000000−2i2i0000-222i−2i−2i2i2-2-2200000000000000000000000000000000
χ402-2-222i−2i−2i2i000022-2-222-2-22i−2i−2i2i2i−2i−2i2i00000000−2i2i0000-22−2i2i2i−2i-222-200000000000000000000000000000000
χ412-2-22−2i2i2i−2i000022-2-222-2-2−2i2i2i−2i−2i2i2i−2i000000002i−2i0000-222i−2i−2i2i-222-200000000000000000000000000000000
χ422-2-22−2i2i2i−2i000022-2-222-2-2−2i2i2i−2i−2i2i2i−2i000000002i−2i0000-22−2i2i2i−2i2-2-2200000000000000000000000000000000
χ432-2-22−2i2i2i−2i000022-2-222-2-2−2i2i2i−2i−2i2i2i−2i00000000−2i2i00002-2000000002-2-22−2i2i2i−2i000000000000000000000000
χ442-2-22−2i2i2i−2i000022-2-222-2-2−2i2i2i−2i−2i2i2i−2i00000000−2i2i00002-200000000-222-22i−2i−2i2i000000000000000000000000
χ454444444444441-21-21-21-211-2-2-2-2111-21-21-21-20000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ464444444444441-21-21-21-211-2-2-2-2111-21-21-21-20000000000000000000000000000-2-2-2-20000000011111111
χ47444444444444-21-21-21-21-2-21111-2-2-21-21-21-2100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ48444444444444-21-21-21-21-2-21111-2-2-21-21-21-21000000000000000000000000-2-2-2-200001111111100000000
χ4944444444-4-4-4-41-21-21-21-211-2-2-2-211-12-12-12-12000000000000000000000000000022-2-200000000-1-1-1-11111
χ5044444444-4-4-4-41-21-21-21-211-2-2-2-211-12-12-12-120000000000000000000000000000-2-222000000001111-1-1-1-1
χ5144444444-4-4-4-4-21-21-21-21-2-21111-2-22-12-12-12-100000000000000000000000022-2-20000-1-1-1-1111100000000
χ5244444444-4-4-4-4-21-21-21-21-2-21111-2-22-12-12-12-1000000000000000000000000-2-22200001111-1-1-1-100000000
χ534444-4-4-4-444-4-41-21-21-21-2-1-12222-1-11-21-2-12-1200000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ544444-4-4-4-444-4-41-21-21-21-2-1-12222-1-11-21-2-12-120000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ554444-4-4-4-444-4-4-21-21-21-2122-1-1-1-122-21-212-12-10000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ564444-4-4-4-444-4-4-21-21-21-2122-1-1-1-122-21-212-12-1000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ574444-4-4-4-4-4-4441-21-21-21-2-1-12222-1-1-12-121-21-200000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ584444-4-4-4-4-4-4441-21-21-21-2-1-12222-1-1-12-121-21-20000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ594444-4-4-4-4-4-444-21-21-21-2122-1-1-1-1222-12-1-21-210000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ604444-4-4-4-4-4-444-21-21-21-2122-1-1-1-1222-12-1-21-21000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ6144-4-444-4-44-44-41-2-12-121-21122-2-2-1-11-2-121-2-1200000000000000000000000000000000000000003−33−33−33−3
χ6244-4-444-4-44-44-41-2-12-121-21122-2-2-1-11-2-121-2-120000000000000000000000000000000000000000−33−33−33−33
χ6344-4-444-4-44-44-4-212-12-1-21-2-2-1-11122-212-1-212-100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ6444-4-444-4-44-44-4-212-12-1-21-2-2-1-11122-212-1-212-100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ6544-4-444-4-4-44-441-2-12-121-21122-2-2-1-1-121-2-121-200000000000000000000000000000000000000003−33−3−33−33
χ6644-4-444-4-4-44-441-2-12-121-21122-2-2-1-1-121-2-121-20000000000000000000000000000000000000000−33−333−33−3
χ6744-4-444-4-4-44-44-212-12-1-21-2-2-1-111222-1-212-1-2100000000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ6844-4-444-4-4-44-44-212-12-1-21-2-2-1-111222-1-212-1-2100000000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ6944-4-4-4-4444-4-441-2-12-121-2-1-1-2-222111-2-12-121-20000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3
χ7044-4-4-4-4444-4-441-2-12-121-2-1-1-2-222111-2-12-121-20000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3
χ7144-4-4-4-4444-4-44-212-12-1-212211-1-1-2-2-212-12-1-21000000000000000000000000000000003−3−333−3−3300000000
χ7244-4-4-4-4444-4-44-212-12-1-212211-1-1-2-2-212-12-1-2100000000000000000000000000000000−333−3−333−300000000
χ7344-4-4-4-444-444-41-2-12-121-2-1-1-2-22211-121-21-2-120000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3
χ7444-4-4-4-444-444-41-2-12-121-2-1-1-2-22211-121-21-2-120000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3
χ7544-4-4-4-444-444-4-212-12-1-212211-1-1-2-22-1-21-212-1000000000000000000000000000000003−3−33−333−300000000
χ7644-4-4-4-444-444-4-212-12-1-212211-1-1-2-22-1-21-212-100000000000000000000000000000000−333−33−3−3300000000
χ778-88-88i−8i8i−8i00002-42-4-24-242i−2i−4i4i−4i4i2i−2i00000000000000000000000000000000000000000000000000000000
χ788-88-88i−8i8i−8i0000-42-424-24-2−4i4i2i−2i2i−2i−4i4i00000000000000000000000000000000000000000000000000000000
χ798-88-8−8i8i−8i8i00002-42-4-24-24−2i2i4i−4i4i−4i−2i2i00000000000000000000000000000000000000000000000000000000
χ808-88-8−8i8i−8i8i0000-42-424-24-24i−4i−2i2i−2i2i4i−4i00000000000000000000000000000000000000000000000000000000
χ818-8-888i−8i−8i8i00002-4-242-4-242i−2i4i−4i−4i4i−2i2i00000000000000000000000000000000000000000000000000000000
χ828-8-888i−8i−8i8i0000-424-2-424-2−4i4i−2i2i2i−2i4i−4i00000000000000000000000000000000000000000000000000000000
χ838-8-88−8i8i8i−8i00002-4-242-4-24−2i2i−4i4i4i−4i2i−2i00000000000000000000000000000000000000000000000000000000
χ848-8-88−8i8i8i−8i0000-424-2-424-24i−4i2i−2i−2i2i−4i4i00000000000000000000000000000000000000000000000000000000

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