Finite Group Databasebeta

← Group #11867788

Character table — Group #11867788

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order1222334466666623466612121212224424666666121212121212121224668888121266612121288884444612121212122424242488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-11-1-11-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1-1-1-1-11111
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
χ7111111111111111111111111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1111111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-11111-1-1
χ911111111111111-11-1111111111111-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-11111-111-1-1-1-1-11111-1-1-1-11-11-1
χ1011111111111111-11-1111111111111-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-11-11
χ1111111111111111-11-111111111111-11-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-111111111-1-11-111-1-1-111-1-1-1-1-11-11
χ1211111111111111-11-111111111111-11-1-1-1-1-1-1-111-111-1-1-1-111-1-11111-1-1-1111-1-1-1-111-1-1-111-1-1-1-1-111111-11-1
χ1311111111111111-11-11111111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-111-1-1111-1-11
χ1411111111111111-11-11111111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-1111-1-1-111111-1-111111-1-1-1-111-1-1-111-1
χ1511111111111111-11-11111111-1-1-1-1-11-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-111111-1-111-111-1
χ1611111111111111-11-11111111-1-1-1-1-11-1-1-1-1-1-1-111-111-1-111-1-1-1-111-1-1-1-1-11111111-111-11-1-1111-1-111-1-11-1-11
χ17222222-2-222222222-2222-2-2-2-222-2-200220022-200-2-2-2-2-2-22220000-2-200000000000000-2002000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-22200220022-200-2-2-2-2-22-2-2-200002200000000000000200-2000000000000
χ19222222-2-2222222-222222-2-2-2-222-2-200-2-200-2-22002-2-2222-2220000-2-200000000000000200-2000000000000
χ20222222-2-2222222-222222-2-2-2-2-2-22200-2-200-2-22002-2-222-22-2-200002200000000000000-2002000000000000
χ2122222-1222-122-1-12-12-1-1-12-1-122222222-1-1-1-1-12-1-1-1-1-1-1-122-1-10000-1-12-1-12-1-100002020-1-1-1-1-1-10000000000
χ2222222-1222-122-1-12-12-1-1-12-1-122222-2-22-111-1-1211-1-1-1-1-122-1-10000-1-1-211-2110000-20-20-111-1110000000000
χ2322222-1222-122-1-12-12-1-1-12-1-12-2-2-2-2222-1-1-1-1-12-1-1-1-1-1-1-1-2-2110000112-1-12-1-10000-20-201111110000000000
χ2422222-1222-122-1-12-12-1-1-12-1-12-2-2-2-2-2-22-111-1-1211-1-1-1-1-1-2-211000011-211-211000020201-1-11-1-10000000000
χ2522222-1222-122-1-1-2-1-2-1-1-12-1-1222222-2-21-1-111-2111-1-111-2-2-1-10000-1-12-1-1-2110000-20201111-1-10000000000
χ2622222-1222-122-1-1-2-1-2-1-1-12-1-122222-22-211111-2-1-11-1-111-2-2-1-10000-1-1-2112-1-1000020-201-1-11110000000000
χ2722222-1222-122-1-1-2-1-2-1-1-12-1-12-2-2-2-22-2-21-1-111-2111-1-11122110000112-1-1-211000020-20-1-1-1-1110000000000
χ2822222-1222-122-1-1-2-1-2-1-1-12-1-12-2-2-2-2-22-211111-2-1-11-1-1112211000011-2112-1-10000-2020-111-1-1-10000000000
χ2922222-1-2-22-122-1-12-1-2-1-1-1-211-222-2-2002-1−i3i3-1-1-2−i3i311111-22-1-10000110−i3i30−i3i3000000001−i3i3-1−i3i30000000000
χ3022222-1-2-22-122-1-12-1-2-1-1-1-211-222-2-2002-1i3−i3-1-1-2i3−i311111-22-1-10000110i3−i30i3−i3000000001i3−i3-1i3−i30000000000
χ3122222-1-2-22-122-1-12-1-2-1-1-1-211-2-2-222002-1−i3i3-1-1-2−i3i3111112-2110000-1-10−i3i30−i3i300000000-1i3−i31i3−i30000000000
χ3222222-1-2-22-122-1-12-1-2-1-1-1-211-2-2-222002-1i3−i3-1-1-2i3−i3111112-2110000-1-10i3−i30i3−i300000000-1−i3i31−i3i30000000000
χ3322222-1-2-22-122-1-1-2-12-1-1-1-211-222-2-200-21−i3i3112i3−i3-111-1-12-2-1-10000110−i3i30i3−i300000000-1i3−i31−i3i30000000000
χ3422222-1-2-22-122-1-1-2-12-1-1-1-211-222-2-200-21i3−i3112−i3i3-111-1-12-2-1-10000110i3−i30−i3i300000000-1−i3i31i3−i30000000000
χ3522222-1-2-22-122-1-1-2-12-1-1-1-211-2-2-22200-21−i3i3112i3−i3-111-1-1-22110000-1-10−i3i30i3−i3000000001−i3i3-1i3−i30000000000
χ3622222-1-2-22-122-1-1-2-12-1-1-1-211-2-2-22200-21i3−i3112−i3i3-111-1-1-22110000-1-10i3−i30−i3i3000000001i3−i3-1−i3i30000000000
χ372222-1222-12-1-1222-12-1-1-1-122-1000022-1222-1-1-1222-1-1-1-10000222200-1-1-1-1-1-100000202000000-1-1-1-100-1-100
χ382222-1222-12-1-1222-12-1-1-1-122-1000022-1222-1-1-1222-1-1-1-10000-2-2-2-200-1-1-1-1-1-100000-20-20000001111001100
χ392222-1222-12-1-1222-12-1-1-1-122-10000-2-2-12-2-2-1-1-1-2-22-1-1-1-1000022220011111100000-20-2000000-1-1-1-1001100
χ402222-1222-12-1-1222-12-1-1-1-122-10000-2-2-12-2-2-1-1-1-2-22-1-1-1-10000-2-2-2-20011111100000202000000111100-1-100
χ412222-1222-12-1-122-2-1-2-1-1-1-122-100002-21-222111-2-2-2-1-111000022-2-200-1-1-11110000020-2000000-1-11100-1100
χ422222-1222-12-1-122-2-1-2-1-1-1-122-100002-21-222111-2-2-2-1-1110000-2-22200-1-1-111100000-20200000011-1-1001-100
χ432222-1222-12-1-122-2-1-2-1-1-1-122-10000-221-2-2-211122-2-1-111000022-2-200111-1-1-100000-202000000-1-111001-100
χ442222-1222-12-1-122-2-1-2-1-1-1-122-10000-221-2-2-211122-2-1-1110000-2-22200111-1-1-10000020-200000011-1-100-1100
χ452-2-22222-2-2-22-2-22020-22-222-2-22-22-20000000000002-200002-22i−2i002-20000002i2i−2i−2i00000000002i−2i00000000
χ462-2-22222-2-2-22-2-22020-22-222-2-22-22-20000000000002-200002-2−2i2i002-2000000−2i−2i2i2i0000000000−2i2i00000000
χ472-2-22222-2-2-22-2-22020-22-222-2-2-22-220000000000002-20000-222i−2i00-22000000−2i−2i2i2i00000000002i−2i00000000
χ482-2-22222-2-2-22-2-22020-22-222-2-2-22-220000000000002-20000-22−2i2i00-220000002i2i−2i−2i0000000000−2i2i00000000
χ492-2-2222-22-2-22-2-22020-22-2-2-2222-2-22000000000000-2200002-2002-2-2200000000000000000000002-22-20000
χ502-2-2222-22-2-22-2-22020-22-2-2-2222-2-22000000000000-2200002-200-22-220000000000000000000000-22-220000
χ512-2-2222-22-2-22-2-22020-22-2-2-222-222-2000000000000-220000-22002-22-200000000000000000000002-2-220000
χ522-2-2222-22-2-22-2-22020-22-2-2-222-222-2000000000000-220000-2200-222-20000000000000000000000-222-20000
χ534444-24-4-4-24-2-2444-2-4-2-2-22-4-42000000-2400-2-2200-422220000000000000000000000000000000000000000
χ544444-24-4-4-24-2-244-4-24-2-2-22-4-420000002-40022-200422-2-20000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414111-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-211-211000000000000000000000000
χ564444-2-244-2-2-2-2-2-2414111-2-2-2-20000-4-4-2-22211-222-2111100000000002-1-12-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-4111-2-2-2-200004-422-2-2-1-1222211-1-10000000000-2112-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-4111-2-2-2-20000-442222-1-12-2-2211-1-100000000002-1-1-211000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-41112222000000-2-2−2i32i3112−2i32i32-1-1-1-100000000000i3−i30i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-41112222000000-2-22i3−2i31122i3−2i32-1-1-1-100000000000−i3i30−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-414111222200000022−2i32i3-1-1-22i3−2i3-2-1-11100000000000i3−i30−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-4141112222000000222i3−2i3-1-1-2−2i32i3-2-1-11100000000000−i3i30i3−i3000000000000000000000000
χ6344-4-44400-4-4-444-4040-4-440000000000000000000000000000000000000000−2i22i2−2i22i200000000000000000000
χ6444-4-44400-4-4-444-4040-4-4400000000000000000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ654-44-4440044-4-4-4-40404-4-4000000000000000000000000000000000000000022−22−222200000000000000000000
χ664-44-4440044-4-4-4-40404-4-40000000000000000000000000000000000000000−222222−2200000000000000000000
χ674-4-444-24-4-424-42-20-202-224-22-44-44-4000000000000-220000-220000-22000000000000000000000000000000
χ684-4-444-24-4-424-42-20-202-224-22-4-44-44000000000000-2200002-200002-2000000000000000000000000000000
χ694-4-444-2-44-424-42-20-202-22-42-244-4-440000000000002-20000-2200002-2000000000000000000000000000000
χ704-4-444-2-44-424-42-20-202-22-42-24-444-40000000000002-200002-20000-22000000000000000000000000000000
χ714-4-44-244-42-4-22-440-202-22-24-420000000000000000-220000004i−4i000000000000000000000000−2i2i00000000
χ724-4-44-244-42-4-22-440-202-22-24-420000000000000000-22000000−4i4i0000000000000000000000002i−2i00000000
χ734-4-44-24-442-4-22-440-202-222-44-200000000000000002-2000000004-4000000000000000000000000-22000000
χ744-4-44-24-442-4-22-440-202-222-44-200000000000000002-200000000-440000000000000000000000002-2000000
χ7588-8-88-400-84-88-440-4044-40000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-48004-84-48-80-4044-40000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400444-4-44020-2-22000000000000006-6000000000000000000000000000000000000000000000000
χ7888-8-8-4-400444-4-44020-2-2200000000000000-66000000000000000000000000000000000000000000000000
χ798-88-88-4008-4-8-8440-40-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4800-4844-8-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400-4-444440202-2-200000000000000000000006i−6i0000000000000000000000000000000000000000
χ828-88-8-4-400-4-444440202-2-20000000000000000000000−6i6i0000000000000000000000000000000000000000
χ838-8-88-4-48-844-444-4020-22-2-4-44400000000000000002-2000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-444-4020-22-244-4-40000000000000000-22000000000000000000000000000000000000000000

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