Finite Group Databasebeta

← Group #11882327

Character table — Group #11882327

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order12223344666666366688121212122424242422444422661212242424242424466888812121212242424246666666444444121212242448812121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111-11111-1-111-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111111111-11111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-1-11-1-111
χ51111111111111111111111111111-1-1-1-1111111111111111-1-1-1-111-1-111-1-1-1-11111111-1-11-1-1111111-1-1-11-1-1-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-11-111-1-111-11-11111-1-11-1-1-11-11-1
χ10111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-11-1-111111-11-11-1-1-1-11-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-11111-1-11-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-111-11111-1-11
χ12111111111111111111-1-11111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-111-1-1-1-111-11111-111-1-111-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-111-1-1-1-1111111-11-111-1-1-1-1-1-111111-1-1-111-1-11-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-1-11-1-111-1-1-1-11111111-11-1-111-1-111-1-11-1-1-1-1-11111-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-1-1111-11-1-1-1-1111-1-11-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11111-11-11-111111-1-1-11-1-11
χ17222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-2220000-2-22200000000000-2-20000-2000020000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002220000-2-2-2-20000000000022000020000-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-2-2-20000222200000000000220000-20000-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-20000002-2-2000022-2-200000000000-2-200002000020000000
χ2122222-122-12-122-1-1-1-1-122-12-12-1-1-1-12222002222-1-122-1-1-1-10-1-12200-1-100-1-1-1-12-1-1-1-1-1-1000220000000000-1-100
χ2222222-122-12-122-1-1-1-1-122-12-12-1-1-1-1222200-2-2-2-2-1-122-1-1-1-10-1-12200-1-100-1-1-1-1-2111111000-2-200000000001100
χ2322222-122-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2-2-2002222-1-122-1-1-1-1011-2-200110011112-1-1-1-1-1-1000-2-200000000001100
χ2422222-122-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2-2-200-2-2-2-2-1-122-1-1-1-1011-2-20011001111-2111111000220000000000-1-100
χ2522222-122-12-122-1-1-1-1-1-2-2-12-1211112222002-222-1-1-2-211110-1-1-2-200-1-1001111-2-11-1-1110002-20000000000-1100
χ2622222-122-12-122-1-1-1-1-1-2-2-12-121111222200-22-2-2-1-1-2-211110-1-1-2-200-1-100111121-111-1-1000-2200000000001-100
χ2722222-122-12-122-1-1-1-1-1-2-2-12-121111-2-2-2-2002-222-1-1-2-2111101122001100-1-1-1-1-2-11-1-111000-2200000000001-100
χ2822222-122-12-122-1-1-1-1-1-2-2-12-121111-2-2-2-200-22-2-2-1-1-2-2111101122001100-1-1-1-121-111-1-10002-20000000000-1100
χ292222-12222-12-1-12-1-1-1-1222-12-1222200002222-1-1-1-1-1-1-1-1-1-1200002200-1-10000-122-1-1-1-1002002-1-1-1-1-1000-10000
χ302222-12222-12-1-12-1-1-1-1222-12-12222000022-2-211-1-1-1-1-1-1-1-1200002200-1-100001-2-2111100-200-2-111-1-100010000
χ312222-12222-12-1-12-1-1-1-1222-12-122220000-2-222-1-1-1-1-1-1-1-1-1-1-20000-2-200110000-122-1-1-1-100-200-21111100010000
χ322222-12222-12-1-12-1-1-1-1222-12-122220000-2-2-2-211-1-1-1-1-1-1-1-1-20000-2-2001100001-2-211110020021-1-111000-10000
χ332222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-20000222-2-1-1-1-111111120000-2-200-1-1000012-2-1-11100-2002-1-1-11100010000
χ342222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2000022-2211-1-111111120000-2-200-1-10000-1-2211-1-100200-2-11111000-10000
χ352222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-20000-2-22-2-1-1-1-1111111-20000220011000012-2-1-11100200-2111-1-1000-10000
χ362222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-20000-2-2-2211-1-1111111-200002200110000-1-2211-1-100-20021-1-1-1-100010000
χ372-22-2220022-2-2-2-222-2-22−2000022−2−2002i−2i2i−2i0000002−222−2−2000−i2i2−i2i22i−2i2i−2i−i2−i2i2i200000002-20000000−i2i202−200000
χ382-22-2220022-2-2-2-222-2-22−2000022−2−2002i−2i−2i2i0000002−222−2−2000−i2i2i2−i22i−2i−2i2i−i2−i2i2i20000000-220000000i2−i20−2200000
χ392-22-2220022-2-2-2-222-2-22−2000022−2−200−2i2i2i−2i0000002−222−2−2000i2−i2−i2i2−2i2i2i−2ii2i2−i2−i20000000-220000000−i2i20−2200000
χ402-22-2220022-2-2-2-222-2-22−2000022−2−200−2i2i−2i2i0000002−222−2−2000i2−i2i2−i2−2i2i−2i2ii2i2−i2−i200000002-20000000i2−i202−200000
χ412-22-2220022-2-2-2-222-2-2−220000−2−222002i−2i2i−2i000000−22−2−222000i2−i2i2−i22i−2i2i−2ii2i2−i2−i200000002-20000000i2−i20−2200000
χ422-22-2220022-2-2-2-222-2-2−220000−2−222002i−2i−2i2i000000−22−2−222000i2−i2−i2i22i−2i−2i2ii2i2−i2−i20000000-220000000−i2i202−200000
χ432-22-2220022-2-2-2-222-2-2−220000−2−22200−2i2i2i−2i000000−22−2−222000−i2i2i2−i2−2i2i2i−2i−i2−i2i2i20000000-220000000i2−i202−200000
χ442-22-2220022-2-2-2-222-2-2−220000−2−22200−2i2i−2i2i000000−22−2−222000−i2i2−i2i2−2i2i−2i2i−i2−i2i2i200000002-20000000−i2i20−2200000
χ4544444-2-4-4-24-244-2-2-2-2-2002-42-4000044-4-4000000220000000-2-200002200000000000000000000000000000000
χ4644444-2-4-4-24-244-2-2-2-2-2002-42-40000-4-444000000220000000220000-2-200000000000000000000000000000000
χ474444-24-4-44-24-2-24-2-2-2-200-42-420000000044000022000000-400000000-2-2000000000000000002000000000000
χ484444-24-4-44-24-2-24-2-2-2-200-42-4200000000-4-40000220000004000000002200000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-2-2-211110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-21111000000000000000222-1-1-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-21122-1-1-1-10000000000000002-2211-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44221122-1-1-1-1000000000000000-22-2-1-1110000000000000000000
χ5344-4-4444-4-4-444-4-44-4-440044-4-4000000000000004-400000000000000000000000000000000000000000000000
χ5444-4-444-44-4-444-4-44-4-4400-4-44400000000000000-4400000000000000000000000000000000000000000000000
χ5544-4-44-24-42-4-24-42-222-200-242-400000000000000-220000000000000000023−2323−2300000000000000000000000000
χ5644-4-44-24-42-4-24-42-222-200-242-400000000000000-2200000000000000000−2323−232300000000000000000000000000
χ5744-4-44-2-442-4-24-42-222-2002-4-24−2i32i3−2i32i300000000002-200−2i32i3−2i32i300000000000000000000000000000000000000000
χ5844-4-44-2-442-4-24-42-222-2002-4-242i3−2i32i3−2i300000000002-2002i3−2i32i3−2i300000000000000000000000000000000000000000
χ5944-4-4-244-4-424-22-4-222-2004-2-4200000000000000-220000000000000000000000000000000000023−230000000000
χ6044-4-4-244-4-424-22-4-222-2004-2-4200000000000000-2200000000000000000000000000000000000−23230000000000
χ6144-4-4-24-44-424-22-4-222-200-424-2000000000000−2i32i32-2000000000000000000000000−2i32i3000000000000000000000
χ6244-4-4-24-44-424-22-4-222-200-424-20000000000002i3−2i32-20000000000000000000000002i3−2i3000000000000000000000
χ6344-4-4-2-2-4422-2-2221-1-110022-2-2−2i32i3−2i32i300000000−2i32i3-1100i3−i3i3−i3000000000000000000i3−i33-30000000000000000000
χ6444-4-4-2-2-4422-2-2221-1-110022-2-2−2i32i3−2i32i3000000002i3−2i3-1100i3−i3i3−i3000000000000000000−i3i3-330000000000000000000
χ6544-4-4-2-2-4422-2-2221-1-110022-2-22i3−2i32i3−2i300000000−2i32i3-1100−i3i3−i3i3000000000000000000i3−i3-330000000000000000000
χ6644-4-4-2-2-4422-2-2221-1-110022-2-22i3−2i32i3−2i3000000002i3−2i3-1100−i3i3−i3i3000000000000000000−i3i33-30000000000000000000
χ674-44-44-200-242-4-42-2-22222−220000−2−222004i−4i0000000022−22−2−222000−2i22i200−2i2i00i2i2−i2−i200000000000000000000000000
χ684-44-44-200-242-4-42-2-22222−220000−2−22200−4i4i0000000022−22−2−2220002i2−2i2002i−2i00−i2−i2i2i200000000000000000000000000
χ694-44-44-200-242-4-42-2-222−2222000022−2−2004i−4i00000000−222222−2−20002i2−2i200−2i2i00−i2−i2i2i200000000000000000000000000
χ704-44-44-200-242-4-42-2-222−2222000022−2−200−4i4i00000000−222222−2−2000−2i22i2002i−2i00i2i2−i2−i200000000000000000000000000
χ714-44-4-24004-2-422-4-2-22222−2200002222−22−2200004i−4i000000−22−2−22200000−2i22i200−2i2i00000000000000000000i2−i200000000
χ724-44-4-24004-2-422-4-2-22222−2200002222−22−220000−4i4i000000−22−2−222000002i2−2i2002i−2i00000000000000000000−i2i200000000
χ734-44-4-24004-2-422-4-2-222−22220000−22−22222200004i−4i0000002−222−2−2000002i2−2i200−2i2i00000000000000000000−i2i200000000
χ744-44-4-24004-2-422-4-2-222−22220000−22−2222220000−4i4i0000002−222−2−200000−2i22i2002i−2i00000000000000000000i2−i200000000
χ754-4-444400-4-4-4-4444-44-400000000004-4000000000000000004-400000000000000000000000000000000000000
χ764-4-444400-4-4-4-4444-44-40000000000-4400000000000000000-4400000000000000000000000000000000000000
χ774-4-444-2002-42-44-2-22-22000000i6−i6−i6i64-4000000000000i6−i6−i6i60-2200000000i6−i6−i6i600000000000000000000000000
χ784-4-444-2002-42-44-2-22-22000000i6−i6−i6i6-44000000000000i6−i6−i6i602-200000000−i6i6i6−i600000000000000000000000000
χ794-4-444-2002-42-44-2-22-22000000−i6i6i6−i64-4000000000000−i6i6i6−i60-2200000000−i6i6i6−i600000000000000000000000000
χ804-4-444-2002-42-44-2-22-22000000−i6i6i6−i6-44000000000000−i6i6i6−i602-200000000i6−i6−i6i600000000000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-48-844-4-4442-2-2200-4-444000000000000002-200000000000000000000000000000000000000000000000
χ838-88-8-4-400-4-4444422-2-242−420000−22−222222000000000000−222222−2−200000000000000000000000000000000000000000
χ848-88-8-4-400-4-4444422-2-2−424200002222−22−2200000000000022−22−2−22200000000000000000000000000000000000000000
χ858-8-88-4800-84-84-48-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-42-22-20000002i6−2i6−2i62i600000000000000−i6i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-42-22-2000000−2i62i62i6−2i600000000000000i6−i6−i6i600000000000000000000000000000000000000000

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