Finite Group Databasebeta

← Group #11887824

Character table — Group #11887824

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order1222334466666636668812121212224444121212121212242424242424242424444466888812121212121212124488884461212121212242424244121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-11-1-11-1-111111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-11-111
χ5111111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-111-1-1-1-11-11111-1-1-1-1-1-11-11-11
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-11-1-11111-1-1-1-1-111-1-1111-1-1-1-111-11-1
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-11-111-1-1-1-1111111-1-1-11-1-1-1-111-1111-1
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11-1-111-1-11111-1-1-111111-1-111-1-1-1-11
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-11-11111-1-111-1-1111-111-1-1-1-11111-1-1111-11111-1-1-1-1-11-1
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111-11-1-111-1-11111111-1-1-1-1-111-1-1-111-11
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-111-1-1-1-1-11-1-1-1-111111111-1-11
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11-1-11111-1-1-1-11-1-111-1-1-111111-111-1
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-200002200002200000022000000-200-2000000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000002-20000220000-2-2000000-2-2000000200-200000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-220000-2-2000022000000-2-2000000-200200000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000220000-2-20000-2-2000000220000002002000000-20000
χ2122222-12222-1-1-12-1-1-1-122-12-12002222-1-122-1-122-1-1-1-1-1-1200022000022-1-12-1-1-1-1-100000002-1-1-100000-1-10-1000
χ2222222-12222-1-1-12-1-1-1-122-12-120022-2-211-2-2-1-122-1-1-1-1-1-12000-2-2000022-1-1-2111110000000-2-11100000-1-101000
χ2322222-12222-1-1-12-1-1-1-122-12-1200-2-222-1-122-1-122-1-1-1-1-1-1-2000-2-20000-2-2112-1-1-1-1-10000000-2111000001101000
χ2422222-12222-1-1-12-1-1-1-122-12-1200-2-2-2-211-2-2-1-122-1-1-1-1-1-1-2000220000-2-211-211111000000021-1-100000110-1000
χ2522222-12222-1-1-12-1-1-1-1-2-2-12-1200222-2-1-1-2-2-1-1-2-21111112000220000-2-2-1-121-1-1110000000-2-1-1-1000001101000
χ2622222-12222-1-1-12-1-1-1-1-2-2-12-120022-221122-1-1-2-21111112000-2-20000-2-2-1-1-2-111-1-100000002-11100000110-1000
χ2722222-12222-1-1-12-1-1-1-1-2-2-12-1200-2-22-2-1-1-2-2-1-1-2-2111111-2000-2-20000221121-1-1110000000211100000-1-10-1000
χ2822222-12222-1-1-12-1-1-1-1-2-2-12-1200-2-2-221122-1-1-2-2111111-20002200002211-2-111-1-10000000-21-1-100000-1-101000
χ292222-1222-1-1222-1-1-1-1-1222-12-122002222-1-1-1-1-1-122-1-1-1-1022200-1-1220000-12-1-1-1-100000020000-1-1-1-1-10000-100
χ302222-1222-1-1222-1-1-1-1-1222-12-12200-2-2-2-211-1-1-1-122-1-1-1-102-2-200-1-12200001-21111000000-20000-111-1-10000100
χ312222-1222-1-1222-1-1-1-1-1222-12-1-2-2002222-1-1-1-1-1-122-1-1-1-10-2-2-20011-2-20000-12-1-1-1-1000000-20000111110000100
χ322222-1222-1-1222-1-1-1-1-1222-12-1-2-200-2-2-2-211-1-1-1-122-1-1-1-10-2220011-2-200001-21111000000200001-1-1110000-100
χ332222-1222-1-1222-1-1-1-1-1-2-22-12-122002-22211-1-111-2-2111102-2-200-1-1-2-20000-1-2-1-11100000020000-111110000-100
χ342222-1222-1-1222-1-1-1-1-1-2-22-12-12200-22-2-2-1-1-1-111-2-21111022200-1-1-2-200001211-1-1000000-20000-1-1-1110000100
χ352222-1222-1-1222-1-1-1-1-1-2-22-12-1-2-2002-22211-1-111-2-211110-2220011220000-1-2-1-111000000-200001-1-1-1-10000100
χ362222-1222-1-1222-1-1-1-1-1-2-22-12-1-2-200-22-2-2-1-1-1-111-2-211110-2-2-200112200001211-1-100000020000111-1-10000-100
χ372-22-2222-2-2-2-22-222-2-220022-2-20000000000-2200000000002-22i−2i00000000000000002i2i−2i−2i0002i−2i02-2000000000
χ382-22-2222-2-2-2-22-222-2-220022-2-20000000000-2200000000002-2−2i2i0000000000000000−2i−2i2i2i000−2i2i02-2000000000
χ392-22-2222-2-2-2-22-222-2-220022-2-20000000000-220000000000-222i−2i0000000000000000−2i−2i2i2i0002i−2i0-22000000000
χ402-22-2222-2-2-2-22-222-2-220022-2-20000000000-220000000000-22−2i2i00000000000000002i2i−2i−2i000−2i2i0-22000000000
χ412-2-2222002-2-2-22-222-2-22−200002-22i−2i000000002−22−222−2−20000002-22−2−i2i22i−2i0000002i−2i−i2i2−i2i2000000002−2−i2i200000
χ422-2-2222002-2-2-22-222-2-22−200002-2−2i2i000000002−22−222−2−20000002-22−2i2−i2−2i2i000000−2i2ii2−i2i2−i2000000002−2i2−i200000
χ432-2-2222002-2-2-22-222-2-22−20000-222i−2i000000002−22−222−2−2000000-22−22−i2i22i−2i000000−2i2ii2−i2i2−i200000000−22−i2i200000
χ442-2-2222002-2-2-22-222-2-22−20000-22−2i2i000000002−22−222−2−2000000-22−22i2−i2−2i2i0000002i−2i−i2i2−i2i200000000−22i2−i200000
χ452-2-2222002-2-2-22-222-2-2−2200002-22i−2i00000000−22−22−2−2220000002-2−22i2−i22i−2i0000002i−2ii2−i2i2−i200000000−22i2−i200000
χ462-2-2222002-2-2-22-222-2-2−2200002-2−2i2i00000000−22−22−2−2220000002-2−22−i2i2−2i2i000000−2i2i−i2i2−i2i200000000−22−i2i200000
χ472-2-2222002-2-2-22-222-2-2−220000-222i−2i00000000−22−22−2−222000000-222−2i2−i22i−2i000000−2i2i−i2i2−i2i2000000002−2i2−i200000
χ482-2-2222002-2-2-22-222-2-2−220000-22−2i2i00000000−22−22−2−222000000-222−2−i2i2−2i2i0000002i−2ii2−i2i2−i2000000002−2−i2i200000
χ4944444-2-4-444-2-2-24-2-2-2-2002-42-400440000002200000000-400000000000-2-200000000000000200000000000000
χ5044444-2-4-444-2-2-24-2-2-2-2002-42-400-4-400000022000000004000000000002200000000000000-200000000000000
χ514444-24-4-4-2-2444-2-2-2-2-200-42-42440000000022000000000-40000-2-200000000000000000000000200000000000
χ524444-24-4-4-2-2444-2-2-2-2-200-42-42-4-40000000022000000000400002200000000000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-211110000000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-100000000000000-2211-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-1000000000000002-2-1-11100000000000000000000000
χ5744-4-44400-444-4-4-44-44-400000000000000000000000000000000000000000000000022−22−222200000000000000000
χ5844-4-44400-444-4-4-44-44-4000000000000000000000000000000000000000000000000−222222−2200000000000000000
χ594-44-444-44-4-4-44-444-4-4400-4-44400000000004-4000000000000000000000000000000000000000000000000000
χ604-44-44-24-4-4-42-224-222-200-242-400000000002-20000000000004i−4i00000000000000000000000−2i2i000000000000
χ614-44-44-24-4-4-42-224-222-200-242-400000000002-2000000000000−4i4i000000000000000000000002i−2i000000000000
χ624-44-44-2-44-4-42-224-222-2002-4-2400000023−2300-2200000000000000000000000023−230000000000000000000000000
χ634-44-44-2-44-4-42-224-222-2002-4-24000000−232300-22000000000000000000000000−23230000000000000000000000000
χ644-44-4-244-422-44-4-2-222-2004-2-4200000000002-200000000004-40000000000000000000000000000-22000000000
χ654-44-4-244-422-44-4-2-222-2004-2-4200000000002-20000000000-4400000000000000000000000000002-2000000000
χ664-44-4-24-4422-44-4-2-222-200-424-200000000−2i32i3-2200000000000000000000000000−2i32i300000000000000000000000
χ674-44-4-24-4422-44-4-2-222-200-424-2000000002i3−2i3-22000000000000000000000000002i3−2i300000000000000000000000
χ684-44-4-2-2-44222-22-21-1-110022-2-200000023−23−2i32i31-100003i−3i3i−3i0000000000000000−33i3−i300000000000000000000000
χ694-44-4-2-2-44222-22-21-1-110022-2-200000023−232i3−2i31-10000−3i3i−3i3i0000000000000000−33−i3i300000000000000000000000
χ704-44-4-2-2-44222-22-21-1-110022-2-2000000−2323−2i32i31-10000−3i3i−3i3i00000000000000003−3i3−i300000000000000000000000
χ714-44-4-2-2-44222-22-21-1-110022-2-2000000−23232i3−2i31-100003i−3i3i−3i00000000000000003−3−i3i300000000000000000000000
χ724-4-444-2004-422-2-4-2-22222−220000004i−4i0000000022−22−22−2−2220000000000−2i22i2−2i2i0000000000000000000000i2−i200000
χ734-4-444-2004-422-2-4-2-22222−22000000−4i4i0000000022−22−22−2−22200000000002i2−2i22i−2i0000000000000000000000−i2i200000
χ744-4-444-2004-422-2-4-2-222−22220000004i−4i00000000−22222−222−2−200000000002i2−2i2−2i2i0000000000000000000000−i2i200000
χ754-4-444-2004-422-2-4-2-222−2222000000−4i4i00000000−22222−222−2−20000000000−2i22i22i−2i0000000000000000000000i2−i200000
χ764-4-44-2400-22-4-442-2-22222−2200004-40000000000−2222−22−2−222000000-2222−22000000000000000000000000−220000000
χ774-4-44-2400-22-4-442-2-22222−220000-440000000000−2222−22−2−2220000002-2−22220000000000000000000000002−20000000
χ784-4-44-2400-22-4-442-2-222−222200004-400000000002−2−222222−2−2000000-22−22220000000000000000000000002−20000000
χ794-4-44-2400-22-4-442-2-222−22220000-4400000000002−2−222222−2−20000002-222−22000000000000000000000000−220000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-88-400-88-444-8-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-48004-48-8-84-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-4004-4-44442-22-20000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ8488-8-8-4-4004-4-44442-22-200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000
χ858-88-8-4-48-8444-44-42-2-2200-4-4440000000000-22000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-4444-4422-2-242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ878-8-88-4-400-4444-4422-2-2−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000000

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