Finite Group Databasebeta

← Group #11889413

Character table — Group #11889413

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order12222233446666663466666661212121212124466121212121212121212244444668888121212121212242424242424242412121212121244412121212441212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111-11-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111-1-111-1-11-1-11111111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ61111111111111111111111111111111-1-111-1-11-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111111-1-1
χ71111111111111111111111111111111-1-111-1-11-1-11111-1-1-111-1-1-11111-1-1111111111111-1-1-1-1-1-1-11-1-1-11111-1-11-1-1
χ81111111111111111111111111111111-1-111-1-11-1-11111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-111
χ91111-1-111111111111-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-11-11-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1111111-1-11-1
χ101111-1-111111111111-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-11-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-1-111-1111-1-1-111-11
χ111111-1-111111111111-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-1-11-1111-1-111-1-11111111111-1-1-1-11-111-1-11-1-11-1-1-1-1-11-11-11
χ121111-1-111111111111-1-1-1-1-11111-1-11111-1-1-111-1-1-111-1-1-11-1111-1-1-1-111111111-1-1-1-111111-111-1-1-1-111-1-1-111-11-11-1
χ131111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-11-1111-11111-1-1-1-111111111-1-1-1-1-11-1-111-1-11-11-1-1-1-1-1111-1
χ141111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-11-1111-111-1-111-1-11111-1-1-1-11111-11-1-1111-1-1-11-1-1111-1-1-11
χ151111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1-11-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1111-11111-11-1-11
χ161111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1-11-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-11-111-1-11-111-1
χ1722222222-2-22222222-22222222-2-2-2-2-2-2002200-200-2-2-2-22-2-200222000022000000000000000000000-2-2000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2002200-200-2-2-2-2-22200-2-2-20000-2-200000000000000000000022000000000
χ192222222-1222-1-122-1-1222-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1222222-1-10000-1-1-1-1-1-10000000022-1-1-1-1020-1-1-1-10000000
χ202222222-1222-1-122-1-1222-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21100001111110000000022-1-1-1-10-2011110000000
χ212222222-1222-1-122-1-1222-1-1-1-1-1222-1-12-2-2-1-111-111-1-1-1-1222-2-22-1-10000-1-1111100000000-2-211110-20-1-1110000000
χ222222222-1222-1-122-1-1222-1-1-1-1-1222-1-12-2-2-1-111-111-1-1-1-1-2-2-222-211000011-1-1-1-100000000-2-2111102011-1-10000000
χ232222222-1-2-22-1-122-1-1-222-1-1-1-1-1-2-2-211-200-1-1−i3i31−i3i311112-2-2002-1-10000-1-1−i3−i3i3i30000000000−i3i3−i3i300011−i3i30000000
χ242222222-1-2-22-1-122-1-1-222-1-1-1-1-1-2-2-211-200-1-1−i3i31−i3i31111-22200-211000011i3i3−i3−i30000000000−i3i3−i3i3000-1-1i3−i30000000
χ252222222-1-2-22-1-122-1-1-222-1-1-1-1-1-2-2-211-200-1-1i3−i31i3−i311112-2-2002-1-10000-1-1i3i3−i3−i30000000000i3−i3i3−i300011i3−i30000000
χ262222222-1-2-22-1-122-1-1-222-1-1-1-1-1-2-2-211-200-1-1i3−i31i3−i31111-22200-211000011−i3−i3i3i30000000000i3−i3i3−i3000-1-1−i3i30000000
χ27222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-122-1-122222-1-1-1-1000000002222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1202000000-1-1000
χ28222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-122-1-122222-1-1-1-100000000-2-2-2-200000011111111-1-1-1-1-1-1-20-200000011000
χ29222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-1-2-2-1-1-2-22-2-2-1-1-1-1000000002222000000-1-1-1-1-1-1-1-1111111-20-200000011000
χ30222222-1222-122-1-12-12-1-122-1-1-1-1-1-122-1-2-2-1-1-2-22-2-2-1-1-1-100000000-2-2-2-200000011111111111111202000000-1-1000
χ312222-2-222-2-222222222-2-2-2-2222-222-2-2-200-2-200200-2-22222-200-2220000-2-20000000000000000000002-2000000000
χ322222-2-222-2-222222222-2-2-2-2222-222-2-2-200-2-200200-2-222-2-22002-2-2000022000000000000000000000-22000000000
χ332222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-122-211-1-1111-1-1112-22-2-2-2-1-10000111111000000002-2-1-1110201-1-1-10000000
χ342222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-122-211-1-1111-1-111-22-2222110000-1-1-1-1-1-1000000002-2-1-1110-20-11110000000
χ352222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-12-2211111-1-1-1-1112-2222-2-1-1000011-1-1-1-100000000-2211-1-10-201-1110000000
χ362222-2-22-1222-1-122-1-1-2-2-211-1-1-12-2-2-1-12-2211111-1-1-1-111-22-2-2-22110000-1-1111100000000-2211-1-1020-11-1-10000000
χ372222-2-22-1-2-22-1-122-1-12-2-211-1-1-1-22211-20011−i3i3-1i3−i311-1-122-200-2-1-1000011i3i3−i3−i30000000000−i3i3i3−i3000-11−i3i30000000
χ382222-2-22-1-2-22-1-122-1-12-2-211-1-1-1-22211-20011−i3i3-1i3−i311-1-1-2-22002110000-1-1−i3−i3i3i30000000000−i3i3i3−i30001-1i3−i30000000
χ392222-2-22-1-2-22-1-122-1-12-2-211-1-1-1-22211-20011i3−i3-1−i3i311-1-122-200-2-1-1000011−i3−i3i3i30000000000i3−i3−i3i3000-11i3−i30000000
χ402222-2-22-1-2-22-1-122-1-12-2-211-1-1-1-22211-20011i3−i3-1−i3i311-1-1-2-22002110000-1-1i3i3−i3−i30000000000i3−i3−i3i30001-1−i3i30000000
χ412222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-12-21122-2-2-2-1-1110000000022-2-2000000-1-1-1-11111-11-1-11120-2000000-11000
χ422222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-12-21122-2-2-2-1-11100000000-2-2220000001111-1-1-1-1-11-1-111-2020000001-1000
χ432222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-1-2211-2-2-222-1-1110000000022-2-2000000-1-1-1-111111-111-1-1-2020000001-1000
χ442222-2-2-1222-122-1-12-1-211-2-2-1-1-1-11122-1-2211-2-2-222-1-11100000000-2-2220000001111-1-1-1-11-111-1-120-2000000-11000
χ452-22-200222-2-2-2-2-222200000-2-222002-2-20000000002-2000002-2000002i−2i002-22-200002i2i−2i−2i00000000000002i−2i00000
χ462-22-200222-2-2-2-2-222200000-2-222002-2-20000000002-2000002-200000−2i2i002-22-20000−2i−2i2i2i0000000000000−2i2i00000
χ472-22-200222-2-2-2-2-222200000-2-222002-2-20000000002-200000-22000002i−2i00-22-2200002i2i−2i−2i0000000000000−2i2i00000
χ482-22-200222-2-2-2-2-222200000-2-222002-2-20000000002-200000-2200000−2i2i00-22-220000−2i−2i2i2i00000000000002i−2i00000
χ49444444-24-4-4-244-2-24-2-4-2-244-2-2-2222-4-4200-2-200-40022220000000000000000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-24411-2-2-2-2-2111100000000000000000000000000-2-2111100000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-2-4-41122-22211110000000000000000000000000022-1-1-1-100000000000000
χ52444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222220011−2i32i32−2i32i3-1-1-1-10000000000000000000000000000i3−i3i3−i300000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122222200112i3−2i322i3−2i3-1-1-1-10000000000000000000000000000−i3i3−i3i300000000000000
χ544444-4-4-24-4-4-244-2-24-2422-4-4-2-2-22-2-2-4-4200220040022-2-20000000000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-24-4-1-1-2-222211-1-100000000000000000000000000-2211-1-100000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-2-44-1-1222-2-211-1-1000000000000000000000000002-2-1-11100000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-222200-1-1−2i32i3-22i3−2i3-1-1110000000000000000000000000000i3−i3−i3i300000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-222200-1-12i3−2i3-2−2i32i3-1-1110000000000000000000000000000−i3i3i3−i300000000000000
χ5944-4-4004400-4-444-4-4400000-44-400000000000000000000000000022−22000000002222−22−22000000000000000000000000
χ6044-4-4004400-4-444-4-4400000-44-4000000000000000000000000000−222200000000−22−222222000000000000000000000000
χ6144-4-400-24002-44-22-4-2000002-22023−230000000000000023−230000000022−2200000000−2−2226−66−600000000000000000000
χ6244-4-400-24002-44-22-4-2000002-22023−230000000000000023−2300000000−22220000000022−2−2−66−6600000000000000000000
χ6344-4-400-24002-44-22-4-2000002-220−232300000000000000−23230000000022−2200000000−2−222−66−6600000000000000000000
χ6444-4-400-24002-44-22-4-2000002-220−232300000000000000−232300000000−22220000000022−2−26−66−600000000000000000000
χ654-44-40044-44-4-4-4-444400000-4-44-400-444000000000-44000000000000000000000000000000000000000000000000
χ664-44-4004-24-4-422-44-2-20000022-2400-22-4000000000-22000004-4000000000-22-220000000000000000000000000000
χ674-44-4004-24-4-422-44-2-20000022-2400-22-4000000000-2200000-440000000002-22-20000000000000000000000000000
χ684-44-4004-2-44-422-44-2-20000022-2-4002-240000000002-20000000000000000−2i32i32i3−2i30000000000000000000000000000
χ694-44-4004-2-44-422-44-2-20000022-2-4002-240000000002-200000000000000002i3−2i3−2i32i30000000000000000000000000000
χ704-44-400-244-42-4-42-24-20000022-2-2004-42000000000-220000000000004i−4i0000000000−2i−2i2i2i00000000000000000000
χ714-44-400-244-42-4-42-24-20000022-2-2004-42000000000-22000000000000−4i4i00000000002i2i−2i−2i00000000000000000000
χ724-44-400-24-442-4-42-24-20000022-2200-44-20000000002-200000000000000000000−2i32i3−2i32i3000000000000000000000000
χ734-44-400-24-442-4-42-24-20000022-2200-44-20000000002-2000000000000000000002i3−2i32i3−2i3000000000000000000000000
χ744-4-444-4440044-4-4-4-4404-44-44-4-4000000004-40000000000000000000000000000000000000000000000000000000
χ754-4-444-44-2004-22-4-42-204-4-22-22200000000-22000000000000000−2i32i30000−2i32i300000000000000000000000000000000
χ764-4-444-44-2004-22-4-42-204-4-22-22200000000-220000000000000002i3−2i300002i3−2i300000000000000000000000000000000
χ774-4-444-4-2400-24-422-4-20-224-4-22200000000-22000000000000000000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000
χ784-4-444-4-2400-24-422-4-20-224-4-22200000000-22000000000000000000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000
χ794-4-44-44440044-4-4-4-440-44-444-4-400000000-440000000000000000000000000000000000000000000000000000000
χ804-4-44-444-2004-22-4-42-20-442-2-222000000002-2000000000000000−2i32i300002i3−2i300000000000000000000000000000000
χ814-4-44-444-2004-22-4-42-20-442-2-222000000002-20000000000000002i3−2i30000−2i32i300000000000000000000000000000000
χ824-4-44-44-2400-24-422-4-202-2-44-222000000002-2000000000000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000
χ834-4-44-44-2400-24-422-4-202-2-44-222000000002-2000000000000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000
χ8488-8-8008-400-84-48-84-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40044-4-444200000-22-2043−4300000000000000−23230000000000000000000000000000000000000000000000
χ8688-8-800-4-40044-4-444200000-22-20−43430000000000000023−230000000000000000000000000000000000000000000000
χ878-88-800-4-48-84444-4-4200000-2-22-400-4440000000002-2000000000000000000000000000000000000000000000000
χ888-88-800-4-4-884444-4-4200000-2-224004-4-4000000000-22000000000000000000000000000000000000000000000000
χ898-8-888-8-4-400-4-4444420-44-442-2-2000000002-20000000000000000000000000000000000000000000000000000000
χ908-8-88-88-4-400-4-44444204-44-42-2-200000000-220000000000000000000000000000000000000000000000000000000

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