Finite Group Databasebeta

← Group #11889431

Character table — Group #11889431

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666634466612121212121222441212121212121212121212121224444668812121212121212121212121244468121212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111111111111-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11-1-11111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ41111111111111111111111111111-1-111-1-11-1-11111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1111-11-1-1-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-11-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-111-1-11-1-1111111-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11-111111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-111-1-11-1-1111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11111-11
χ9111111111111111-1-1111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1111-111111111-1-11-111-1-1-11-1-1-11-1-111-1-111111-1-1-1
χ10111111111111111-1-1111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1111-111-1-11111-1-11-111-1-1-1-11-111-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-1111-1-1111111-11-1-111-1-1-111-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-11-1-1111-11-1-111111-1-1-1-111-111-1
χ12111111111111111-1-1111-1-1111111-11-1-111-1-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-11111-1-11-1-11
χ13111111111111111-1-1111-1-11111-1-11-1-1-1-1-1-11111-1-1-1-11-1-1-11-1-111-1-1-1-1111-111-1-111-11-1-11111-1-1-1-1-1-11-111
χ14111111111111111-1-1111-1-11111-1-11-1-1-1-1-1-11111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1111-111-1-11-1111-111-1-1111111-11-1-1
χ15111111111111111-1-1111-1-11111-1-1-11-1-111-1-1-111-1-1-1-1111-11-1-111111111-11-1-111-1-111-1-1-1-111-1-111-1-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-11-1-111-1-1-111-1-1-1-1111-11-1-1-1-1111111-11-1-111-11-111-1-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-2222-2-2-2-2-2-222002-200200-2-222-2-2200-2-222000000-2-200000000020-200000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-2002-200200-2-222-2-2-20022-2-200000022000000000-20200000000000000
χ19222222-2-22222222-2222222-2-2-2-22200-2200-200-2-2-2-222-200-222200000022000000000-20-200000000000000
χ20222222-2-22222222-2222222-2-2-2-2-2-200-2200-200-2-2-2-2222002-2-2-2000000-2-200000000020200000000000000
χ2122222-12222-1-12-1-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-122222-1-100-1-1-1-1-1-122-1-1-1-1200-10-1-1-1000000000000
χ2222222-12222-1-12-1-122-1-1-1-1-1-1-12222-2-22211-111-1-1-1-1-1-12-2-222-1-1001111-1-1-2-21111-200-10-111000000000000
χ2322222-12222-1-12-1-122-1-1-1-1-1-1-122-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2110011111122-1-1-1-1-20010111000000000000
χ2422222-12222-1-12-1-122-1-1-1-1-1-1-122-2-2-2-22211-111-1-1-1-1-1-1-222-2-21100-1-1-1-111-2-21111200101-1-1000000000000
χ2522222-12222-1-12-1-1-2-2-1-1-111-1-122222-2-2-2111-1-1-1-11111-2222-2-1-100-1-1-1-1112-2-1-111-20010-111000000000000
χ2622222-12222-1-12-1-1-2-2-1-1-111-1-12222-22-2-2-1-1111-1-11111-2-2-22-2-1-100111111-2211-1-120010-1-1-1000000000000
χ2722222-12222-1-12-1-1-2-2-1-1-111-1-122-2-22-2-2-2111-1-1-1-111112-2-2-2211001111-1-12-2-1-111200-101-1-1000000000000
χ2822222-12222-1-12-1-1-2-2-1-1-111-1-122-2-2-22-2-2-1-1111-1-11111222-221100-1-1-1-1-1-1-2211-1-1-200-10111000000000000
χ2922222-1-2-222-1-12-1-12-2-1-1-11111-2-222002-2−i3i3-1−i3i311-1-111200-2-2-1-100−i3−i3i3i31100−i3i3−i3i3000-101−i3i3000000000000
χ3022222-1-2-222-1-12-1-12-2-1-1-11111-2-222002-2i3−i3-1i3−i311-1-111200-2-2-1-100i3i3−i3−i31100i3−i3i3−i3000-101i3−i3000000000000
χ3122222-1-2-222-1-12-1-12-2-1-1-11111-2-2-2-2002-2−i3i3-1−i3i311-1-111-200221100i3i3−i3−i3-1-100−i3i3−i3i300010-1i3−i3000000000000
χ3222222-1-2-222-1-12-1-12-2-1-1-11111-2-2-2-2002-2i3−i3-1i3−i311-1-111-200221100−i3−i3i3i3-1-100i3−i3i3−i300010-1−i3i3000000000000
χ3322222-1-2-222-1-12-1-1-22-1-1-1-1-111-2-22200-22−i3i31i3−i31111-1-1-200-22-1-100i3i3−i3−i3-1-100i3−i3−i3i3000101−i3i3000000000000
χ3422222-1-2-222-1-12-1-1-22-1-1-1-1-111-2-22200-22i3−i31−i3i31111-1-1-200-22-1-100−i3−i3i3i3-1-100−i3i3i3−i3000101i3−i3000000000000
χ3522222-1-2-222-1-12-1-1-22-1-1-1-1-111-2-2-2-200-22−i3i31i3−i31111-1-12002-21100−i3−i3i3i31100i3−i3−i3i3000-10-1i3−i3000000000000
χ3622222-1-2-222-1-12-1-1-22-1-1-1-1-111-2-2-2-200-22i3−i31−i3i31111-1-12002-21100i3i3−i3−i31100−i3i3i3−i3000-10-1−i3i3000000000000
χ372222-1222-1-122-12-122-1-1-12222-1-10022-1-122222-1-1-1-1-1-1000000022000000-1-1-1-1-1-102202000-1-1-1-10000-1-100
χ382222-1222-1-122-12-122-1-1-12222-1-10022-1-122222-1-1-1-1-1-10000000-2-2000000-1-1-1-1-1-10-2-20-2000111100001100
χ392222-1222-1-122-12-122-1-1-12222-1-100-2-2-1-1-2-22-2-2-1-1-1-1-1-10000000220000001111110-2-202000-1-1-1-100001100
χ402222-1222-1-122-12-122-1-1-12222-1-100-2-2-1-1-2-22-2-2-1-1-1-1-1-10000000-2-20000001111110220-200011110000-1-100
χ412222-1222-1-122-12-1-2-2-1-1-1-2-222-1-1002-211-2-2-222-1-11111000000022000000-11-1-11102-20-2000-1-1110000-1100
χ422222-1222-1-122-12-1-2-2-1-1-1-2-222-1-1002-211-2-2-222-1-111110000000-2-2000000-11-1-1110-220200011-1-100001-100
χ432222-1222-1-122-12-1-2-2-1-1-1-2-222-1-100-221122-2-2-2-1-111110000000220000001-111-1-10-220-2000-1-11100001-100
χ442222-1222-1-122-12-1-2-2-1-1-1-2-222-1-100-221122-2-2-2-1-111110000000-2-20000001-111-1-102-20200011-1-10000-1100
χ452-2-22222-2-2-2-2-2222002-2-2002-22-2000000000002-2000002i−2i00002i−2i2i−2i2i−2i00000000000000002i−2i002-2000000
χ462-2-22222-2-2-2-2-2222002-2-2002-22-2000000000002-2000002i−2i0000−2i2i2i−2i2i−2i0000000000000000−2i2i00-22000000
χ472-2-22222-2-2-2-2-2222002-2-2002-22-2000000000002-200000−2i2i00002i−2i−2i2i−2i2i00000000000000002i−2i00-22000000
χ482-2-22222-2-2-2-2-2222002-2-2002-22-2000000000002-200000−2i2i0000−2i2i−2i2i−2i2i0000000000000000−2i2i002-2000000
χ494444-24-4-4-2-244-24-24-4-2-2-2-4-4-4-4220000-220040022-2-22200000000000000000000000000000000000000000
χ504444-24-4-4-2-244-24-2-44-2-2-244-4-42200002-200-4002222-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20044-2-2-2-2-2-2-2111111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-200-4-4-2-222-22211111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2004-422222-2-211-1-1-1-1000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200-4422-2-222211-1-1-1-10000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-214-41112222220000-22−2i32i3-2−2i32i3-1-111-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-214-41112222220000-222i3−2i3-22i3−2i3-1-111-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-44111-2-2222200002-2−2i32i322i3−2i3-1-1-1-11100000000000000000−i3i3i3−i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-44111-2-2222200002-22i3−2i32−2i32i3-1-1-1-11100000000000000000i3−i3−i3i300000000000000000000
χ5944-4-444004-4-44-4-4400-44-40000004-4000000000000000000004-40000000000000000000000000000000000
χ6044-4-444004-4-44-4-4400-44-4000000-4400000000000000000000-440000000000000000000000000000000000
χ6144-4-44-2004-42-2-42-2002-2223−2300004-4000000000000023−2300000-2200000023−2300000000000000000000000000
χ6244-4-44-2004-42-2-42-2002-2223−230000-44000000000000023−23000002-2000000−232300000000000000000000000000
χ6344-4-44-2004-42-2-42-2002-22−232300004-40000000000000−232300000-22000000−232300000000000000000000000000
χ6444-4-44-2004-42-2-42-2002-22−23230000-440000000000000−2323000002-200000023−2300000000000000000000000000
χ654-44-44400-444-4-4-4400-4-44000000000000000000000000000000000000000000000000000000000022−220000
χ664-44-44400-444-4-4-4400-4-440000000000000000000000000000000000000000000000000000000000−22220000
χ674-4-4444-44-4-4-4-4444004-4-400-44-4400000000000-44000000000000000000000000000000000000000000000
χ684-4-444-24-4-4-4224-2-200-22200-224-400000000000-22000004i−4i000000−2i2i−2i2i0000000000000000000000000000
χ694-4-444-24-4-4-4224-2-200-22200-224-400000000000-2200000−4i4i0000002i−2i2i−2i0000000000000000000000000000
χ704-4-444-2-44-4-4224-2-200-222002-2-44000000000002-2000000000000023−23−23230000000000000000000000000000
χ714-4-444-2-44-4-4224-2-200-222002-2-44000000000002-20000000000000−232323−230000000000000000000000000000
χ724-4-44-244-422-4-4-24-200-222004-4-2200000000000-22000000000004i−4i00000000000000000000−2i2i0000000000
χ734-4-44-244-422-4-4-24-200-222004-4-2200000000000-2200000000000−4i4i000000000000000000002i−2i0000000000
χ744-4-44-24-4422-4-4-24-200-22200-442-2000000000002-20000000000000000000000000000000000023−2300000000
χ754-4-44-24-4422-4-4-24-200-22200-442-2000000000002-200000000000000000000000000000000000−232300000000
χ7688-8-8-4800-44-884-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-444-444200-22-243−430000000000000000000−232300000000000000000000000000000000000000000
χ7888-8-8-4-400-444-444200-22-2−4343000000000000000000023−2300000000000000000000000000000000000000000
χ798-88-88-400-88-44-84-40044-40000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-48004-48-84-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4004-4-4444200-2-2200000000000000000006i−6i0000000000000000000000000000000000000000000
χ828-88-8-4-4004-4-4444200-2-220000000000000000000−6i6i0000000000000000000000000000000000000000000
χ838-8-88-4-48-84444-4-42002-2-200-44-44000000000002-2000000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-42002-2-2004-44-400000000000-22000000000000000000000000000000000000000000000

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