Finite Group Databasebeta

← Group #11867797

Character table — Group #11867797

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order1222334466666623466612121212224444666612121212121212121212246688881212121212121212888824446661212122424242488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1111111-1-1-1-1-11-11-1-1-1-1-1-11111-1-111-1-1
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
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-11111-1-1
χ911111111111111-11-1111111111111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111-111-1-11111-1-111-1-1-111-111-1-1-1-1-11-11
χ1011111111111111-11-1111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111111-111-1-1-1-1-1-1-111-1-1-1-111-1-1-111111-11-1
χ1111111111111111-11-111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-111111111-1-1-111-1-1-111-1-1-1-11-11-1
χ1211111111111111-11-111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-11-1-111-1-1-1-11-1-11-111-1-1-1-1-11111-11-11
χ1311111111111111-11-11111111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11-111-1-1-1-1-1-11-1-11111-1-1111-1-111-111-1
χ1411111111111111-11-11111111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11-111-1-1111111-1-1111-1-11-1-111-1-11-1-11
χ1511111111111111-11-11111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-11-1-111-1-1-1-1-111-11-1-111111-1-1111-1-11
χ1611111111111111-11-11111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-11-1-1111111-1-1111-1-1111-1-111-1-1-111-1
χ17222222-2-222222222-2222-2-2-2-222-2-200222200-2-200-2-2-2-2-22220000-2-200000000000000-2000020000000000
χ18222222-2-222222222-2222-2-2-2-2-2-22200222200-2-200-2-2-2-22-2-2-20000220000000000000020000-20000000000
χ19222222-2-2222222-222222-2-2-2-222-2-200-2-2-2-2002200-2-2222-2220000-2-20000000000000020000-20000000000
χ20222222-2-2222222-222222-2-2-2-2-2-22200-2-2-2-2002200-2-222-22-2-200002200000000000000-2000020000000000
χ2122222-122-122-12-12-12-1-1-12-1-122222222-1-1-1-1-12-1-1-1-1-1-1-122-1-10000-1-122-1-1-1-100002020-1-1-1-1-1-10000000000
χ2222222-122-122-12-12-12-1-1-12-1-122222-2-22-1-1-1112-111-1-1-1-122-1-10000-1-1-2-211110000-20-20-11111-10000000000
χ2322222-122-122-12-12-12-1-1-12-1-12-2-2-2-2222-1-1-1-1-12-1-1-1-1-1-1-1-2-21100001122-1-1-1-10000-20-201111110000000000
χ2422222-122-122-12-12-12-1-1-12-1-12-2-2-2-2-2-22-1-1-1112-111-1-1-1-1-2-211000011-2-21111000020201-1-1-1-110000000000
χ2522222-122-122-12-1-2-1-2-1-1-12-1-1222222-2-2111-1-1-2111-1-111-2-2-1-10000-1-12-2-1-1110000-2020111-1-110000000000
χ2622222-122-122-12-1-2-1-2-1-1-12-1-122222-22-211111-21-1-1-1-111-2-2-1-10000-1-1-2211-1-1000020-201-1-11110000000000
χ2722222-122-122-12-1-2-1-2-1-1-12-1-12-2-2-2-22-2-2111-1-1-2111-1-11122110000112-2-1-111000020-20-1-1-111-10000000000
χ2822222-122-122-12-1-2-1-2-1-1-12-1-12-2-2-2-2-22-211111-21-1-1-1-1112211000011-2211-1-10000-2020-111-1-1-10000000000
χ2922222-1-2-2-122-12-12-1-2-1-1-1-211-222-2-2002-1-1-1−i3i3-21−i3i31111-22-1-100001100−i3i3−i3i3000000001−i3i3−i3i3-10000000000
χ3022222-1-2-2-122-12-12-1-2-1-1-1-211-222-2-2002-1-1-1i3−i3-21i3−i31111-22-1-100001100i3−i3i3−i3000000001i3−i3i3−i3-10000000000
χ3122222-1-2-2-122-12-12-1-2-1-1-1-211-2-2-222002-1-1-1−i3i3-21−i3i311112-2110000-1-100−i3i3−i3i300000000-1i3−i3i3−i310000000000
χ3222222-1-2-2-122-12-12-1-2-1-1-1-211-2-2-222002-1-1-1i3−i3-21i3−i311112-2110000-1-100i3−i3i3−i300000000-1−i3i3−i3i310000000000
χ3322222-1-2-2-122-12-1-2-12-1-1-1-211-222-2-200-2111−i3i32-1i3−i311-1-12-2-1-100001100−i3i3i3−i300000000-1i3−i3−i3i310000000000
χ3422222-1-2-2-122-12-1-2-12-1-1-1-211-222-2-200-2111i3−i32-1−i3i311-1-12-2-1-100001100i3−i3−i3i300000000-1−i3i3i3−i310000000000
χ3522222-1-2-2-122-12-1-2-12-1-1-1-211-2-2-22200-2111−i3i32-1i3−i311-1-1-22110000-1-100−i3i3i3−i3000000001−i3i3i3−i3-10000000000
χ3622222-1-2-2-122-12-1-2-12-1-1-1-211-2-2-22200-2111i3−i32-1−i3i311-1-1-22110000-1-100i3−i3−i3i3000000001i3−i3−i3i3-10000000000
χ372222-12222-1-12-122-12-1-1-1-122-1000022-12-1-122-1222-1-1-1-10000222200-1-1-1-1-1-100000202000000-1-1-1-100-1-100
χ382222-12222-1-12-122-12-1-1-1-122-1000022-12-1-122-1222-1-1-1-10000-2-2-2-200-1-1-1-1-1-100000-20-20000001111001100
χ392222-12222-1-12-122-12-1-1-1-122-10000-2-2-12-1-1-2-2-12-2-2-1-1-1-1000022220011111100000-20-2000000-1-1-1-1001100
χ402222-12222-1-12-122-12-1-1-1-122-10000-2-2-12-1-1-2-2-12-2-2-1-1-1-10000-2-2-2-20011111100000202000000111100-1-100
χ412222-12222-1-12-12-2-1-2-1-1-1-122-100002-21-211221-2-2-2-1-111000022-2-200-11-1-11100000-202000000-1-111001-100
χ422222-12222-1-12-12-2-1-2-1-1-1-122-100002-21-211221-2-2-2-1-1110000-2-22200-11-1-1110000020-200000011-1-100-1100
χ432222-12222-1-12-12-2-1-2-1-1-1-122-10000-221-211-2-21-222-1-111000022-2-2001-111-1-10000020-2000000-1-11100-1100
χ442222-12222-1-12-12-2-1-2-1-1-1-122-10000-221-211-2-21-222-1-1110000-2-222001-111-1-100000-20200000011-1-1001-100
χ452-2-22222-2-2-2-2-222020-2-2222-2-22-22-20000000000002-200002-22i−2i002-20000002i2i−2i−2i00000000002i−2i00000000
χ462-2-22222-2-2-2-2-222020-2-2222-2-22-22-20000000000002-200002-2−2i2i002-2000000−2i−2i2i2i0000000000−2i2i00000000
χ472-2-22222-2-2-2-2-222020-2-2222-2-2-22-220000000000002-20000-222i−2i00-22000000−2i−2i2i2i00000000002i−2i00000000
χ482-2-22222-2-2-2-2-222020-2-2222-2-2-22-220000000000002-20000-22−2i2i00-220000002i2i−2i−2i0000000000−2i2i00000000
χ492-2-2222-22-2-2-2-222020-2-22-2-2222-2-22000000000000-2200002-2002-2-2200000000000000000000002-22-20000
χ502-2-2222-22-2-2-2-222020-2-22-2-2222-2-22000000000000-2200002-200-22-220000000000000000000000-22-220000
χ512-2-2222-22-2-2-2-222020-2-22-2-222-222-2000000000000-220000-22002-22-200000000000000000000002-2-220000
χ522-2-2222-22-2-2-2-222020-2-22-2-222-222-2000000000000-220000-2200-222-20000000000000000000000-222-20000
χ534444-24-4-44-2-24-244-2-4-2-2-22-4-42000000-24-2-2002-40022220000000000000000000000000000000000000000
χ544444-24-4-44-2-24-24-4-24-2-2-22-4-420000002-42200-240022-2-20000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414111-2-2-2-2000044-2-211-2-2-2-2-2-211110000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414111-2-2-2-20000-4-4-2-21122-2-2221111000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-4111-2-2-2-200004-422-1-1-2-2222211-1-10000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-4111-2-2-2-20000-4422-1-12222-2-211-1-100000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-41112222000000-2-211−2i32i322−2i32i3-1-1-1-1000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-41112222000000-2-2112i3−2i3222i3−2i3-1-1-1-1000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-414111222200000022-1-1−2i32i3-2-22i3−2i3-1-111000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-414111222200000022-1-12i3−2i3-2-2−2i32i3-1-111000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-444004-44-4-4-40404-4-4000000000000000000000000000000000000000022−2222−2200000000000000000000
χ6444-4-444004-44-4-4-40404-4-40000000000000000000000000000000000000000−2222−222200000000000000000000
χ654-44-44400-44-44-4-4040-44-40000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ664-44-44400-44-44-4-4040-44-400000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ674-4-444-24-42-4-424-20-2022-24-22-44-44-4000000000000-220000-220000-22000000000000000000000000000000
χ684-4-444-24-42-4-424-20-2022-24-22-4-44-44000000000000-2200002-200002-2000000000000000000000000000000
χ694-4-444-2-442-4-424-20-2022-2-42-244-4-440000000000002-20000-2200002-2000000000000000000000000000000
χ704-4-444-2-442-4-424-20-2022-2-42-24-444-40000000000002-200002-20000-22000000000000000000000000000000
χ714-4-44-244-4-422-4-240-2022-2-24-420000000000000000-220000004i−4i000000000000000000000000−2i2i00000000
χ724-4-44-244-4-422-4-240-2022-2-24-420000000000000000-22000000−4i4i0000000000000000000000002i−2i00000000
χ734-4-44-24-44-422-4-240-2022-22-44-200000000000000002-2000000004-4000000000000000000000000-22000000
χ744-4-44-24-44-422-4-240-2022-22-44-200000000000000002-200000000-440000000000000000000000002-2000000
χ7588-8-88-400-4-884-840-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-480084-4-84-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-44-44440202-2-20000000000006-600000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-44440202-2-2000000000000-6600000000000000000000000000000000000000000000000000
χ798-88-88-40048-8-4-840-404-440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4800-8-4484-80-404-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4004-44-444020-22-200000000000000000000006i−6i0000000000000000000000000000000000000000
χ828-88-8-4-4004-44-444020-22-20000000000000000000000−6i6i0000000000000000000000000000000000000000
χ838-8-88-4-48-84444-4-4020-2-22-4-44400000000000000002-2000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-4020-2-2244-4-40000000000000000-22000000000000000000000000000000000000000000

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