Finite Group Databasebeta

← Group #11788051

Character table — Group #11788051

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222222222223366666666666666666666664444444488888888888888884444444412121212121212121212121212121212
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
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ911-1-11-1-1111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-111-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1
χ1011-1-11-1-1111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-11−i−iii−i−iii-1-111-1-111
χ1111-1-11-1-1111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-111-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-11ii−i−iii−i−i-1-111-1-111
χ1211-1-11-1-1111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1
χ1311-1-11-1-11-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111
χ1411-1-11-1-11-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1−i−iiiii−i−i-1-11111-1-1
χ1511-1-11-1-11-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1
χ1611-1-11-1-11-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-22222-20000000000000000000000000000000000000000
χ192222-2-2-2-22-22-22222-2-22222-2-2-2-2-2-222-2-222-2-20000000022−2−222−2−222−2−222−2−2000000000000000000000000
χ202222-2-2-2-22-22-22222-2-22222-2-2-2-2-2-222-2-222-2-200000000−2−222−2−222−2−222−2−222000000000000000000000000
χ212222-2-2-2-2-22-222222-2-22222-2-2-2-2-2-2-2-222-2-2220000000022−2−222−2−2−2−222−2−222000000000000000000000000
χ222222-2-2-2-2-22-222222-2-22222-2-2-2-2-2-2-2-222-2-22200000000−2−222−2−22222−2−222−2−2000000000000000000000000
χ2322-2-22-2-2222-2-2222222-2-2-2-2-2-222-2-22222-2-2-2-2-2-22-2-22220000000000000000000000000000000000000000
χ2422-2-22-2-22-2-222222222-2-2-2-2-2-222-2-2-2-2-2-22222-2-2222-2-220000000000000000000000000000000000000000
χ2522-2-2-222-22-2-222222-2-2-2-2-2-222-2-22222-2-2-2-22200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2622-2-2-222-22-2-222222-2-2-2-2-2-222-2-22222-2-2-2-22200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2722-2-2-222-2-222-22222-2-2-2-2-2-222-2-222-2-22222-2-200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2822-2-2-222-2-222-22222-2-2-2-2-2-222-2-222-2-22222-2-200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ292-22-222-2-2000022-2-22-222-2-22-22-22-2000000000002i−2i2i−2i02−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ302-22-222-2-2000022-2-22-222-2-22-22-22-2000000000002i−2i2i−2i0−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ312-22-222-2-2000022-2-22-222-2-22-22-22-200000000000−2i2i−2i2i02−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ322-22-222-2-2000022-2-22-222-2-22-22-22-200000000000−2i2i−2i2i0−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ332-22-2-2-222000022-2-2-2222-2-2-22-22-22000000002-220000-2000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ342-22-2-2-222000022-2-2-2222-2-2-22-22-22000000002-220000-200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ352-22-2-2-222000022-2-2-2222-2-2-22-22-2200000000-22-2000022-2-222-2-2200000000000000000000000000000000
χ362-22-2-2-222000022-2-2-2222-2-2-22-22-2200000000-22-200002-222-2-222-200000000000000000000000000000000
χ372-2-222-22-2000022-2-22-2-2-222-222-2-22000000000002i−2i−2i2i0−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000000000000000000000
χ382-2-222-22-2000022-2-22-2-2-222-222-2-22000000000002i−2i−2i2i0i2−i2i2−i2−i2i2−i2i22−22−2−22−22000000000000000000000000
χ392-2-222-22-2000022-2-22-2-2-222-222-2-2200000000000−2i2i2i−2i0−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000000000000000000000
χ402-2-222-22-2000022-2-22-2-2-222-222-2-2200000000000−2i2i2i−2i0i2−i2i2−i2−i2i2−i2i2−22−222−22−2000000000000000000000000
χ412-2-22-22-22000022-2-2-22-2-2222-2-222-2000000002-2-200002000000002-2-22-222-2000000000000000000000000
χ422-2-22-22-22000022-2-2-22-2-2222-2-222-2000000002-2-20000200000000-222-22-2-22000000000000000000000000
χ432-2-22-22-22000022-2-2-22-2-2222-2-222-200000000-2220000-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ442-2-22-22-22000022-2-2-22-2-2222-2-222-200000000-2220000-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ454444444444441-21-2111-21-2-2-2-2-2111-21-21-21-200000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ464444444444441-21-2111-21-2-2-2-2-2111-21-21-21-2000000000000000000000000-2-2-2-200001111111100000000
χ47444444444444-21-21-2-2-21-211111-2-2-21-21-21-210000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ48444444444444-21-21-2-2-21-211111-2-2-21-21-21-210000000000000000000000000000-2-2-2-20000000011111111
χ4944444444-4-4-4-41-21-2111-21-2-2-2-2-211-12-12-12-1200000000000000000000000022-2-20000-1-1-1-1111100000000
χ5044444444-4-4-4-41-21-2111-21-2-2-2-2-211-12-12-12-12000000000000000000000000-2-22200001111-1-1-1-100000000
χ5144444444-4-4-4-4-21-21-2-2-21-211111-2-22-12-12-12-1000000000000000000000000000022-2-200000000-1-1-1-11111
χ5244444444-4-4-4-4-21-21-2-2-21-211111-2-22-12-12-12-10000000000000000000000000000-2-222000000001111-1-1-1-1
χ534444-4-4-4-44-44-41-21-2-1-11-21-22222-1-11-2-121-2-12000000000000000000000000000000003−33−33−33−300000000
χ544444-4-4-4-44-44-41-21-2-1-11-21-22222-1-11-2-121-2-1200000000000000000000000000000000−33−33−33−3300000000
χ554444-4-4-4-44-44-4-21-2122-21-21-1-1-1-122-212-1-212-100000000000000000000000000000000000000003−33−33−33−3
χ564444-4-4-4-44-44-4-21-2122-21-21-1-1-1-122-212-1-212-10000000000000000000000000000000000000000−33−33−33−33
χ574444-4-4-4-4-44-441-21-2-1-11-21-22222-1-1-121-2-121-2000000000000000000000000000000003−33−3−33−3300000000
χ584444-4-4-4-4-44-441-21-2-1-11-21-22222-1-1-121-2-121-200000000000000000000000000000000−33−333−33−300000000
χ594444-4-4-4-4-44-44-21-2122-21-21-1-1-1-1222-1-212-1-2100000000000000000000000000000000000000003−33−3−33−33
χ604444-4-4-4-4-44-44-21-2122-21-21-1-1-1-1222-1-212-1-210000000000000000000000000000000000000000−33−333−33−3
χ6144-4-44-4-4444-4-41-21-211-12-1222-2-2-1-11-21-2-12-120000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ6244-4-44-4-4444-4-41-21-211-12-1222-2-2-1-11-21-2-12-12000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ6344-4-44-4-4444-4-4-21-21-2-22-12-1-1-11122-21-212-12-100000000000000000000000000002-22-200000000-1-111-1-111
χ6444-4-44-4-4444-4-4-21-21-2-22-12-1-1-11122-21-212-12-10000000000000000000000000000-22-220000000011-1-111-1-1
χ6544-4-44-4-44-4-4441-21-211-12-1222-2-2-1-1-12-121-21-20000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ6644-4-44-4-44-4-4441-21-211-12-1222-2-2-1-1-12-121-21-2000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ6744-4-44-4-44-4-444-21-21-2-22-12-1-1-111222-12-1-21-2100000000000000000000000000002-2-2200000000-1-11111-1-1
χ6844-4-44-4-44-4-444-21-21-2-22-12-1-1-111222-12-1-21-210000000000000000000000000000-222-20000000011-1-1-1-111
χ6944-4-4-444-44-4-441-21-2-1-1-12-12-2-222111-2-12-121-200000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ7044-4-4-444-44-4-441-21-2-1-1-12-12-2-222111-2-12-121-200000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ7144-4-4-444-44-4-44-21-21222-12-111-1-1-2-2-212-12-1-2100000000000000000000000000000000000000003−3−333−3−33
χ7244-4-4-444-44-4-44-21-21222-12-111-1-1-2-2-212-12-1-210000000000000000000000000000000000000000−333−3−333−3
χ7344-4-4-444-4-444-41-21-2-1-1-12-12-2-22211-121-21-2-1200000000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ7444-4-4-444-4-444-41-21-2-1-1-12-12-2-22211-121-21-2-1200000000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ7544-4-4-444-4-444-4-21-21222-12-111-1-1-2-22-1-21-212-100000000000000000000000000000000000000003−3−33−333−3
χ7644-4-4-444-4-444-4-21-21222-12-111-1-1-2-22-1-21-212-10000000000000000000000000000000000000000−333−33−3−33
χ778-88-888-8-800002-4-242-22-4-24-44-442-200000000000000000000000000000000000000000000000000000000
χ788-88-888-8-80000-424-2-44-424-22-22-2-4400000000000000000000000000000000000000000000000000000000
χ798-88-8-8-88800002-4-24-222-4-244-44-4-2200000000000000000000000000000000000000000000000000000000
χ808-88-8-8-8880000-424-24-4-424-2-22-224-400000000000000000000000000000000000000000000000000000000
χ818-8-888-88-800002-4-242-2-242-44-4-44-2200000000000000000000000000000000000000000000000000000000
χ828-8-888-88-80000-424-2-444-2-42-222-24-400000000000000000000000000000000000000000000000000000000
χ838-8-88-88-8800002-4-24-22-242-4-444-42-200000000000000000000000000000000000000000000000000000000
χ848-8-88-88-880000-424-24-44-2-422-2-22-4400000000000000000000000000000000000000000000000000000000

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