Finite Group Databasebeta

← Group #11867185

Character table — Group #11867185

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order122233446666663666881212121222442466121212122424242424242424246688881212666121212224424446661212122424242488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-111-1-1-11111-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111111-1-11111-1-11-1-1-1-1-1-11-1-11
χ10111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-11111-111-1
χ11111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111111-111-11-1-1111-1-1-1-1-1-1-111-1
χ12111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111-1-1-1-1-11-11-1-1-111-1-1-111111-1-11
χ13111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-111-1-111111-1-1111-11-1
χ14111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-111-1-1-1-111-11111-1-1-11-11
χ15111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-1-1-11-11-1111-1-1111-1-111-11-11
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-11-111-1-1-11111-1-11-11-1
χ17222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000002-2220000-2-200000022-2-2000020000-20000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22220000-2-2000000-2-2220000-2000020000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-2-2-2000022000000-2-222000020000-20000000000
χ20222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-22-2-200002200000022-2-20000-2000020000000000
χ2122222-1222-1-1-122-1-1-1-122-12-12222222-1-1-1-1-1-122-1-1-1-1-1-100-1-12200-1-12-1-12-1-1000022000-1-1-1-10-1-100000000
χ2222222-1222-1-1-122-1-1-1-122-12-122222-2-21111-1-122-1-1-1-1-1-100-1-12200-1-1-211-2110000-2-200011110-1-100000000
χ2322222-1222-1-1-122-1-1-1-122-12-12-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-10011-2-200112-1-12-1-10000-2-2000111101100000000
χ2422222-1222-1-1-122-1-1-1-122-12-12-2-2-2-2-2-21111-1-122-1-1-1-1-1-10011-2-20011-211-211000022000-1-1-1-101100000000
χ2522222-1222-1-1-122-1-1-1-1-2-2-12-1222222-2-1-111-1-1-2-211111100-1-1-2-200-1-12-1-1-21100002-2000-1-11101100000000
χ2622222-1222-1-1-122-1-1-1-1-2-2-12-122222-2211-1-1-1-1-2-211111100-1-1-2-200-1-1-2112-1-10000-2200011-1-101100000000
χ2722222-1222-1-1-122-1-1-1-1-2-2-12-12-2-2-2-22-2-1-111-1-1-2-211111100112200112-1-1-2110000-2200011-1-10-1-100000000
χ2822222-1222-1-1-122-1-1-1-1-2-2-12-12-2-2-2-2-2211-1-1-1-1-2-21111110011220011-2112-1-100002-2000-1-1110-1-100000000
χ292222-1222-1222-1-1-1-1-1-1222-12-10000222222-1-1-1-122-1-1-1-12200002200-1-1-1-1-1-100000022-10000-100-1-100-1-100
χ302222-1222-1222-1-1-1-1-1-1222-12-10000222222-1-1-1-122-1-1-1-1-2-20000-2-200-1-1-1-1-1-1000000-2-21000010011001100
χ312222-1222-1222-1-1-1-1-1-1222-12-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-12200002200111111000000-2-2-10000-100-1-1001100
χ322222-1222-1222-1-1-1-1-1-1222-12-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-20000-2-20011111100000022100001001100-1-100
χ332222-1222-1222-1-1-1-1-1-1-2-22-12-100002-222-2-2-1-111-2-21111220000-2-200-1-1-1111000000-22-10000-1001100-1100
χ342222-1222-1222-1-1-1-1-1-1-2-22-12-100002-222-2-2-1-111-2-21111-2-200002200-1-1-11110000002-210000100-1-1001-100
χ352222-1222-1222-1-1-1-1-1-1-2-22-12-10000-22-2-222-1-111-2-21111220000-2-200111-1-1-10000002-2-10000-10011001-100
χ362222-1222-1222-1-1-1-1-1-1-2-22-12-10000-22-2-222-1-111-2-21111-2-200002200111-1-1-1000000-2210000100-1-100-1100
χ372-22-2222-2-2-22-2-222-22-22i−2i22-2-22-22-20000002-22i−2i2i−2i2i2i−2i−2i002-22i−2i002-2000000000000000000002i−2i00000000
χ382-22-2222-2-2-22-2-222-22-22i−2i22-2-2-22-220000002-22i−2i2i−2i2i2i−2i−2i00-22−2i2i00-2200000000000000000000−2i2i00000000
χ392-22-2222-2-2-22-2-222-22-2−2i2i22-2-22-22-20000002-2−2i2i−2i2i−2i−2i2i2i002-2−2i2i002-200000000000000000000−2i2i00000000
χ402-22-2222-2-2-22-2-222-22-2−2i2i22-2-2-22-220000002-2−2i2i−2i2i−2i−2i2i2i00-222i−2i00-22000000000000000000002i−2i00000000
χ412-22-222-22-2-22-2-222-22-200-2-2222-2-22000000-2200000000002-2002-2-2200000000000000000000002-22-20000
χ422-22-222-22-2-22-2-222-22-200-2-2222-2-22000000-2200000000002-200-22-220000000000000000000000-22-220000
χ432-22-222-22-2-22-2-222-22-200-2-222-222-2000000-220000000000-22002-22-200000000000000000000002-2-220000
χ442-22-222-22-2-22-2-222-22-200-2-222-222-2000000-220000000000-2200-222-20000000000000000000000-222-20000
χ452-22-22-12-2-21-11-22-11-112i−2i-121-22-22-200−i3i33−3-112i−2i−ii−i−iii00-112i−2i00-110−i3i303−3000000000−i3i33−30−ii00000000
χ462-22-22-12-2-21-11-22-11-112i−2i-121-22-22-200i3−i3−33-112i−2i−ii−i−iii00-112i−2i00-110i3−i30−33000000000i3−i3−330−ii00000000
χ472-22-22-12-2-21-11-22-11-112i−2i-121-2-22-2200−i3i33−3-112i−2i−ii−i−iii001-1−2i2i001-10−i3i303−3000000000i3−i3−330i−i00000000
χ482-22-22-12-2-21-11-22-11-112i−2i-121-2-22-2200i3−i3−33-112i−2i−ii−i−iii001-1−2i2i001-10i3−i30−33000000000−i3i33−30i−i00000000
χ492-22-22-12-2-21-11-22-11-11−2i2i-121-22-22-200−i3i3−33-11−2i2ii−iii−i−i00-11−2i2i00-110−i3i30−33000000000−i3i3−330i−i00000000
χ502-22-22-12-2-21-11-22-11-11−2i2i-121-22-22-200i3−i33−3-11−2i2ii−iii−i−i00-11−2i2i00-110i3−i303−3000000000i3−i33−30i−i00000000
χ512-22-22-12-2-21-11-22-11-11−2i2i-121-2-22-2200−i3i3−33-11−2i2ii−iii−i−i001-12i−2i001-10−i3i30−33000000000i3−i33−30−ii00000000
χ522-22-22-12-2-21-11-22-11-11−2i2i-121-2-22-2200i3−i33−3-11−2i2ii−iii−i−i001-12i−2i001-10i3−i303−3000000000−i3i3−330−ii00000000
χ5344444-2-4-44-2-2-244-2-2-2-2002-42-444-4-4000000220000000000-2-2000022000000000000000000000000000000
χ5444444-2-4-44-2-2-244-2-2-2-2002-42-4-4-444000000220000000000220000-2-2000000000000000000000000000000
χ554444-24-4-4-2444-2-2-2-2-2-200-42-42000000000022000000004-40000000000000000000000-2000020000000000
χ564444-24-4-4-2444-2-2-2-2-2-200-42-4200000000002200000000-44000000000000000000000020000-20000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-211-211000000000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-2111100000000002-1-12-1-1000000000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-10000000000-2112-1-1000000000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000002-1-1-211000000000000000000000000
χ6144-4-444004-4-44-4-444-4-4000000000000000000000000000000000000000000004i−4i00000000000000000000
χ6244-4-444004-4-44-4-444-4-400000000000000000000000000000000000000000000−4i4i00000000000000000000
χ634-44-44-2-44-42-22-44-22-22002-4-244-4-440000002-20000000000-2200002-2000000000000000000000000000000
χ644-44-44-2-44-42-22-44-22-22002-4-24-444-40000002-200000000002-20000-22000000000000000000000000000000
χ654-44-4-244-42-44-42-2-22-224i−4i4-2-420000000000-22−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000
χ664-44-4-244-42-44-42-2-22-22−4i4i4-2-420000000000-222i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000
χ674-44-4-24-442-44-42-2-22-2200-424-200000000002-2000000000000004-4000000000000000000000000-22000000
χ684-44-4-24-442-44-42-2-22-2200-424-200000000002-200000000000000-440000000000000000000000002-2000000
χ694-44-4-2-24-422-222-21-11-14i−4i-2-222000000−2i32i323−231-1−2i2i−2i2iii−i−i00000000000i3−i30−33000000000000000000000000
χ704-44-4-2-24-422-222-21-11-14i−4i-2-2220000002i3−2i3−23231-1−2i2i−2i2iii−i−i00000000000−i3i303−3000000000000000000000000
χ714-44-4-2-24-422-222-21-11-1−4i4i-2-222000000−2i32i3−23231-12i−2i2i−2i−i−iii00000000000i3−i303−3000000000000000000000000
χ724-44-4-2-24-422-222-21-11-1−4i4i-2-2220000002i3−2i323−231-12i−2i2i−2i−i−iii00000000000−i3i30−33000000000000000000000000
χ734-4-444400-44-4-44-44-4-440000000000000000000000000000000000000000004-40000000000000000000000
χ744-4-444400-44-4-44-44-4-44000000000000000000000000000000000000000000-440000000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7688-8-88-400844-4-8-8-4-444000000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4800-4-8-8844-4-444000000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-444-44422-2-20000000000000000000000−3i23i2−3i23i20000000000000000000000000000000000000000
χ7988-8-8-4-400-444-44422-2-200000000000000000000003i2−3i23i2−3i20000000000000000000000000000000000000000
χ808-88-8-4-4-8844-444-42-22-20044-4-40000000000-22000000000000000000000000000000000000000000000000
χ818-8-888-400-8-4448-8-444-4000000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-480048-8-8-44-444-4000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-444-442-2-22000000000000000000000032−32−32320000000000000000000000000000000000000000
χ848-8-88-4-4004-444-442-2-220000000000000000000000−323232−320000000000000000000000000000000000000000

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