Finite Group Databasebeta

← Group #11885740

Character table — Group #11885740

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666223666881212121224242424222266668888266666612122424242424242244668812122424242466666442246666661224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-11111-11111-1-11-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-111-1-1-1-11-11-1-111-1-1-111-11111-1
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1111-1-1-1-11111-111-1-1-1-1-11-111-1-1111-1-1-111-11-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-111-1-111-1-11-1-1-1-111-1111-1-11-11
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1
χ1011111111111111-1-11111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111
χ1111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11111-1-11-1-1-1-1111-1-11-1-111-1
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-11-1-111-1-1-11-111-1-111-111-111-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-11-11-1-111-1-11-1-1-1111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111111-11111-1-1-1111-1-1-11-1
χ17222222-2-222222200222200-2-2-2-200002222222200000000000-2-200000000-2-22200-2-200000000022000000000-200-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2222200000000000-2-200000000-22-2-200-2-2000000000-2-2000000000200200000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-200000000000-2-2000000002-2220022000000000-2-2000000000-200200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-20000000022-2-2002200000000022000000000200-200000
χ2122222-1222-1-12-1222-1-1-1-122-122-1-1-1-1-12200-1-1-1-12222222-1-1-1-1-1-122-1-1-1-122200000-1-1-1-1-1-12-1-1-1-10020000-1-1-1-1000000000
χ2222222-1222-1-12-1222-1-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-2222-1-1-1-1-1-122-1-1-1-1-2-2-2000001111112-1-1-1-100-200001111000000000
χ2322222-1222-1-12-1222-1-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-2-222-1-111-1-1-2-21111-2-2200000-1-11111-2-1-1110020000-1-111000000000
χ2422222-1222-1-12-1222-1-1-1-1-2-2-122-11111-2-20011112222-222-1-111-1-1-2-2111122-20000011-1-1-1-1-2-1-11100-2000011-1-1000000000
χ2522222-1222-1-12-12-2-2-1-1-1-122-122-1-1-1-1-12200-1-1-1-12222-2-2-21111-1-122-1-1-1-1-2-2200000-1-1-1-1-1-1-2111100-200001111000000000
χ2622222-1222-1-12-12-2-2-1-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-2-2-2-21111-1-122-1-1-1-122-200000111111-211110020000-1-1-1-1000000000
χ2722222-1222-1-12-12-2-2-1-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-22-2-211-1-1-1-1-2-2111122200000-1-11111211-1-100-2000011-1-1000000000
χ2822222-1222-1-12-12-2-2-1-1-1-1-2-2-122-11111-2-200111122222-2-211-1-1-1-1-2-21111-2-2-20000011-1-1-1-1211-1-10020000-1-111000000000
χ292222-1222-122-12-122-1-1-1-1222-1-1222220022000000002-1-12222-1-1-1-1-1-1-1-10002-1-122000000-1-1-1-1-100022-1-10000-1-1-1000-100
χ302222-1222-122-12-122-1-1-1-1222-1-12222200-2-2000000002-1-12222-1-1-1-1-1-1-1-1000-211-2-2000000-1-1-1-1-1000-2-2110000111000100
χ312222-1222-122-12-122-1-1-1-1-2-22-1-12-2-2-2-2002200000000-2-1-122-2-2-1-11111110002-1-1-2-20000001-1-1110002-2-1-10000-111000100
χ322222-1222-122-12-122-1-1-1-1-2-22-1-12-2-2-2-200-2-200000000-2-1-122-2-2-1-1111111000-211220000001-1-111000-221100001-1-1000-100
χ332222-1222-122-12-1-2-2-1-1-1-1222-1-122222002200000000-211-2-2-2-2-1-1-1-1-1-1-1-10002-1-12200000011111000-2-2110000-1-1-1000100
χ342222-1222-122-12-1-2-2-1-1-1-1222-1-12222200-2-200000000-211-2-2-2-2-1-1-1-1-1-1-1-1000-211-2-20000001111100022-1-10000111000-100
χ352222-1222-122-12-1-2-2-1-1-1-1-2-22-1-12-2-2-2-2002200000000211-2-222-1-11111110002-1-1-2-2000000-111-1-1000-22110000-111000-100
χ362222-1222-122-12-1-2-2-1-1-1-1-2-22-1-12-2-2-2-200-2-200000000211-2-222-1-1111111000-21122000000-111-1-10002-2-1-100001-1-1000100
χ3722-2-222-22-2-2-222-22-22-2-2200-22-2200000000000022-2-202-22-200-220000002-20000000022-2-202-2000000000002-2000000000
χ3822-2-222-22-2-2-222-22-22-2-2200-22-22000000000000-2-22202-22-200-22000000-2200000000-2-22202-200000000000-22000000000
χ3922-2-222-22-2-2-222-2-222-2-2200-22-2200000000000022-2-20-22-2200-22000000-220000000022-2-20-2200000000000-22000000000
χ4022-2-222-22-2-2-222-2-222-2-2200-22-22000000000000-2-2220-22-2200-220000002-200000000-2-2220-22000000000002-2000000000
χ4122-2-22-1-22-2112-1-22-2-111-10012-2-1−i3−i3i3i30000−i3−i3i3i322-2-202-2-11−i3i31-100−i3−i3i3i32-2000000−i3i3-1-1110-11−i3i30000000−i3i3-11000000000
χ4222-2-22-1-22-2112-1-22-2-111-10012-2-1−i3−i3i3i30000i3i3−i3−i3-2-22202-2-11−i3i31-100−i3−i3i3i3-22000000i3−i311-1-10-11−i3i30000000i3−i31-1000000000
χ4322-2-22-1-22-2112-1-22-2-111-10012-2-1i3i3−i3−i30000−i3−i3i3i3-2-22202-2-11i3−i31-100i3i3−i3−i3-22000000−i3i311-1-10-11i3−i30000000−i3i31-1000000000
χ4422-2-22-1-22-2112-1-22-2-111-10012-2-1i3i3−i3−i30000i3i3−i3−i322-2-202-2-11i3−i31-100i3i3−i3−i32-2000000i3−i3-1-1110-11i3−i30000000i3−i3-11000000000
χ4522-2-22-1-22-2112-1-2-22-111-10012-2-1−i3−i3i3i30000−i3−i3i3i322-2-20-221-1i3−i31-100−i3−i3i3i3-22000000−i3i3-1-11101-1i3−i30000000i3−i31-1000000000
χ4622-2-22-1-22-2112-1-2-22-111-10012-2-1−i3−i3i3i30000i3i3−i3−i3-2-2220-221-1i3−i31-100−i3−i3i3i32-2000000i3−i311-1-101-1i3−i30000000−i3i3-11000000000
χ4722-2-22-1-22-2112-1-2-22-111-10012-2-1i3i3−i3−i30000−i3−i3i3i3-2-2220-221-1−i3i31-100i3i3−i3−i32-2000000−i3i311-1-101-1−i3i30000000i3−i3-11000000000
χ4822-2-22-1-22-2112-1-2-22-111-10012-2-1i3i3−i3−i30000i3i3−i3−i322-2-20-221-1−i3i31-100i3i3−i3−i3-22000000i3−i3-1-11101-1−i3i30000000−i3i31-1000000000
χ492-2-222200-22-2-2-220022-2-22−200002−22−22-22-22-22-22−22−20000000002−22−22−200002-22−2002−22−2000002-200000000002−202−2000
χ502-2-222200-22-2-2-220022-2-22−200002−22−22-2-222-22-22−22−20000000002−22−22−20000-22−22002−22−200000-220000000000−220−22000
χ512-2-222200-22-2-2-220022-2-22−200002−22−2-222-2-22-22−22−220000000002−22−22−200002-22−200−22−2200000-2200000000002−20−22000
χ522-2-222200-22-2-2-220022-2-22−200002−22−2-22-22-22-22−22−220000000002−22−22−20000-22−2200−22−22000002-20000000000−2202−2000
χ532-2-222200-22-2-2-220022-2-2−220000−22−222-22-22-22-2−22−22000000000−22−22−2200002-2−2200−22−22000002-20000000000−220−22000
χ542-2-222200-22-2-2-220022-2-2−220000−22−222-2-222-22-2−22−22000000000−22−22−220000-222−200−22−2200000-2200000000002−202−2000
χ552-2-222200-22-2-2-220022-2-2−220000−22−22-222-2-22-222−22−2000000000−22−22−2200002-2−22002−22−200000-220000000000−2202−2000
χ562-2-222200-22-2-2-220022-2-2−220000−22−22-22-22-22-222−22−2000000000−22−22−220000-222−2002−22−2000002-200000000002−20−22000
χ5744444-2-4-44-2-24-2400-2-2-2-2002-4-4200004400-2-2-2-2000000000002200000000-4000002200000000000000000000000000000
χ5844444-2-4-44-2-24-2400-2-2-2-2002-4-420000-4-4002222000000000002200000000400000-2-200000000000000000000000000000
χ594444-24-4-4-244-24-200-2-2-2-200-422-40000004400000000000000022000000000-4-2-2000000000000000000000000200000000
χ604444-24-4-4-244-24-200-2-2-2-200-422-4000000-4-400000000000000022000000000422000000000000000000000000-200000000
χ614444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000000000-4-2-2-2-2221122-1-1-1-100000000000000211-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2222200000000000042222-2-21122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-4444-4-4-4-444-4004-4-44004-44-4000000000000000000000004-4000000000000000000000000000000000000000000000
χ6644-4-44-24-4-4224-2-400-222-200-2-44200000000−2i3−2i32i32i300000000000-22000000000000002i3−2i300000000000000000000000000000
χ6744-4-44-24-4-4224-2-400-222-200-2-442000000002i32i3−2i3−2i300000000000-2200000000000000−2i32i300000000000000000000000000000
χ6844-4-4-244-42-4-4-24200-222-20042-2-400000000000000000000000-22000000000000000000000000000000−2i32i30000000000000
χ6944-4-4-244-42-4-4-24200-222-20042-2-400000000000000000000000-220000000000000000000000000000002i3−2i30000000000000
χ7044-4-4-24-442-4-4-2424-4-222-200-4-22400000000000000000-224-4002-2000000000000000000000-220000000000000000000000
χ7144-4-4-24-442-4-4-242-44-222-200-4-224000000000000000002-2-44002-20000000000000000000002-20000000000000000000000
χ7244-4-4-2-2-44222-2-224-41-1-11002-22-2−2i3−2i32i32i30000000000000-22-22−2i32i3-1100i3i3−i3−i30000000000000001-1i3−i300000000000000000000
χ7344-4-4-2-2-44222-2-224-41-1-11002-22-22i32i3−2i3−2i30000000000000-22-222i3−2i3-1100−i3−i3i3i30000000000000001-1−i3i300000000000000000000
χ7444-4-4-2-2-44222-2-22-441-1-11002-22-2−2i3−2i32i32i300000000000002-22-22i3−2i3-1100i3i3−i3−i3000000000000000-11−i3i300000000000000000000
χ7544-4-4-2-2-44222-2-22-441-1-11002-22-22i32i3−2i3−2i300000000000002-22-2−2i32i3-1100−i3−i3i3i3000000000000000-11i3−i300000000000000000000
χ764-44-444004-44-4-4-4004-44-400000000000000000022−22−2222000000000000000000000000022−22−22220000000000000000000000000
χ774-44-444004-44-4-4-4004-44-4000000000000000000−222222−220000000000000000000000000−222222−220000000000000000000000000
χ784-44-44-20042-2-42-400-22-22000000i6−i6−i6i60000−2i32i32i3−2i3−222222−2200000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ794-44-44-20042-2-42-400-22-22000000i6−i6−i6i600002i3−2i3−2i32i322−22−222200000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ804-44-44-20042-2-42-400-22-22000000−i6i6i6−i60000−2i32i32i3−2i322−22−222200000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ814-44-44-20042-2-42-400-22-22000000−i6i6i6−i600002i3−2i3−2i32i3−222222−2200000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ824-4-444-200-4-22-42400-2-22222−220000−22−224-400-22-2222−2222−2200000000022−22−22−220000000000−22−220000000000000000000000000
χ834-4-444-200-4-22-42400-2-22222−220000−22−22-44002-22-2−2222−222200000000022−22−22−2200000000002−22−20000000000000000000000000
χ844-4-444-200-4-22-42400-2-222−222200002−22−24-400-22-22−2222−2222000000000−22222−22−200000000002−22−20000000000000000000000000
χ854-4-444-200-4-22-42400-2-222−222200002−22−2-44002-22-222−2222−22000000000−22222−22−20000000000−22−220000000000000000000000000
χ864-4-44-240024-42-4-200-2-22222−22000022−2222−22004-400000000000000000−22−22−220000-2222−2200000000000000000000000−22000000
χ874-4-44-240024-42-4-200-2-22222−22000022−2222−2200-4400000000000000000−22−22−2200002-2−2222000000000000000000000002−2000000
χ884-4-44-240024-42-4-200-2-222−22220000−2222−2222004-4000000000000000002−22−22−20000-22−2222000000000000000000000002−2000000
χ894-4-44-240024-42-4-200-2-222−22220000−2222−222200-44000000000000000002−22−22−200002-222−2200000000000000000000000−22000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-48-8444-4-44002-2-2200-44-44000000000000000000000002-2000000000000000000000000000000000000000000000
χ928-88-8-4800-4-884-8400-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400-44-4444002-22-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ948-88-8-4-400-44-4444002-22-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ958-8-88-4-4004-4444-40022-2-242−420000−2222−2222000000000000000000000−22222−22−2000000000000000000000000000000000000000
χ968-8-88-4-4004-4444-40022-2-2−4242000022−2222−2200000000000000000000022−22−22−22000000000000000000000000000000000000000

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