Finite Group Databasebeta

← Group #11885738

Character table — Group #11885738

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666223666881212121224242424224466668888266666612122424242424242244881212121224242424666662222466661212122424488624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111111111111111111111111-11-1-111-1-1111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-11-111-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1111-1111-1-1111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-111-111-1-1-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-1111-1-1-1-1-1111111-111-1-1-1-1-1-11-1-111111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-111-11-1-1-111-1-1-1111-1-111-1
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1
χ1011111111111111-1-11111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1111
χ1111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-11-1-1-1111-1-1-1-11-1-11-11
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-111111-1-1-1-1-1-11-1-111-1-1-1-11-1-111-11111-111-11-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111111-1-111-1-111-111-1-11-1-1-1-1-11111-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111-1111-1-1-111111-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200002222222200000000000-2-200000000-2-200-2-222000000000220000000-20000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2222200000000000-2-2000000002-200-2-2-2-2000000000-2-2000000020000200000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-200000000000-2-200000000-22002222000000000-2-20000000-20000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-200000000220022-2-200000000022000000020000-200000
χ2122222-122-1-122-1222-1-1-1-1222-12-1-1-1-1-12200-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1220200-1-100-1-1-1-12-1-1-1-100200-1-1-1-100000000000
χ2222222-122-1-122-1222-1-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-2-2222-1-1-1-1-1-122-1-1-1-1-2-20-200110011112-1-1-1-100-200111100000000000
χ2322222-122-1-122-1222-1-1-1-1-2-22-12-111112200-1-1-1-1-2-2-2-2-222-1-111-1-1-2-21111-2-20200-1-1001111-2-1-11100200-1-11100000000000
χ2422222-122-1-122-1222-1-1-1-1-2-22-12-11111-2-20011112222-222-1-111-1-1-2-21111220-2001100-1-1-1-1-2-1-11100-20011-1-100000000000
χ2522222-122-1-122-12-2-2-1-1-1-1222-12-1-1-1-1-12200-1-1-1-12222-2-2-21111-1-122-1-1-1-1-2-20200-1-100-1-1-1-1-2111100-200111100000000000
χ2622222-122-1-122-12-2-2-1-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-2-2-2-2-21111-1-122-1-1-1-1220-20011001111-2111100200-1-1-1-100000000000
χ2722222-122-1-122-12-2-2-1-1-1-1-2-22-12-111112200-1-1-1-1-2-2-2-22-2-211-1-1-1-1-2-21111220200-1-1001111211-1-100-20011-1-100000000000
χ2822222-122-1-122-12-2-2-1-1-1-1-2-22-12-11111-2-200111122222-2-211-1-1-1-1-2-21111-2-20-2001100-1-1-1-1211-1-100200-1-11100000000000
χ292222-122222-1-12-122-1-1-1-122-12-1222220022000000002-1-12222-1-1-1-1-1-1-1-100202200-1-10000-1-1-1-1-1000220000-1-1-1-1-1000-100
χ302222-122222-1-12-122-1-1-1-122-12-12222200-2-2000000002-1-12222-1-1-1-1-1-1-1-100-20-2-200110000-1-1-1-1-1000-2-2000011111000100
χ312222-122222-1-12-122-1-1-1-1-2-2-12-12-2-2-2-2002200000000-2-1-122-2-2-1-11111110020-2-200-1-100001-1-111000-220000-1-1-111000100
χ322222-122222-1-12-122-1-1-1-1-2-2-12-12-2-2-2-200-2-200000000-2-1-122-2-2-1-111111100-2022001100001-1-1110002-20000111-1-1000-100
χ332222-122222-1-12-1-2-2-1-1-1-122-12-122222002200000000-211-2-2-2-2-1-1-1-1-1-1-1-100202200-1-1000011111000-2-20000-111-1-1000100
χ342222-122222-1-12-1-2-2-1-1-1-122-12-12222200-2-200000000-211-2-2-2-2-1-1-1-1-1-1-1-100-20-2-200110000111110002200001-1-111000-100
χ352222-122222-1-12-1-2-2-1-1-1-1-2-2-12-12-2-2-2-2002200000000211-2-222-1-11111110020-2-200-1-10000-111-1-10002-20000-11111000-100
χ362222-122222-1-12-1-2-2-1-1-1-1-2-2-12-12-2-2-2-200-2-200000000211-2-222-1-111111100-202200110000-111-1-1000-2200001-1-1-1-1000100
χ372-22-2222-2-2-22-22-22-22-2-2200-2-22200000000000022-2-202-22-200-220000002-20000000022-2-202-20000000002-200000000000
χ382-22-2222-2-2-22-22-22-22-2-2200-2-222000000000000-2-22202-22-200-22000000-2200000000-2-22202-2000000000-2200000000000
χ392-22-2222-2-2-22-22-2-222-2-2200-2-22200000000000022-2-20-22-2200-22000000-220000000022-2-20-22000000000-2200000000000
χ402-22-2222-2-2-22-22-2-222-2-2200-2-222000000000000-2-2220-22-2200-220000002-200000000-2-2220-220000000002-200000000000
χ412-22-22-12-2112-2-1-22-2-111-100-212-1−i3−i3i3i30000−i3−i3i3i322-2-202-2-11−i3i31-100−i3−i3i3i32-20000−i3i300-1-1110-11−i3i300000−i3i3-1100000000000
χ422-22-22-12-2112-2-1-22-2-111-100-212-1−i3−i3i3i30000i3i3−i3−i3-2-22202-2-11−i3i31-100−i3−i3i3i3-220000i3−i30011-1-10-11−i3i300000i3−i31-100000000000
χ432-22-22-12-2112-2-1-22-2-111-100-212-1i3i3−i3−i30000−i3−i3i3i3-2-22202-2-11i3−i31-100i3i3−i3−i3-220000−i3i30011-1-10-11i3−i300000−i3i31-100000000000
χ442-22-22-12-2112-2-1-22-2-111-100-212-1i3i3−i3−i30000i3i3−i3−i322-2-202-2-11i3−i31-100i3i3−i3−i32-20000i3−i300-1-1110-11i3−i300000i3−i3-1100000000000
χ452-22-22-12-2112-2-1-2-22-111-100-212-1−i3−i3i3i30000−i3−i3i3i322-2-20-221-1i3−i31-100−i3−i3i3i3-220000−i3i300-1-11101-1i3−i300000i3−i31-100000000000
χ462-22-22-12-2112-2-1-2-22-111-100-212-1−i3−i3i3i30000i3i3−i3−i3-2-2220-221-1i3−i31-100−i3−i3i3i32-20000i3−i30011-1-101-1i3−i300000−i3i3-1100000000000
χ472-22-22-12-2112-2-1-2-22-111-100-212-1i3i3−i3−i30000−i3−i3i3i3-2-2220-221-1−i3i31-100i3i3−i3−i32-20000−i3i30011-1-101-1−i3i300000i3−i3-1100000000000
χ482-22-22-12-2112-2-1-2-22-111-100-212-1i3i3−i3−i30000i3i3−i3−i322-2-20-221-1−i3i31-100i3i3−i3−i3-220000i3−i300-1-11101-1−i3i300000−i3i31-100000000000
χ492-2-2222002-2-2-2-220022-2-22−200002−22−22-22-22-22-22−22−20000000002−22−22−200002−2002-22−22−2000002-200000000002−202−2000
χ502-2-2222002-2-2-2-220022-2-22−200002−22−22-2-222-22-22−22−20000000002−22−22−20000−2200-222−22−200000-220000000000−220−22000
χ512-2-2222002-2-2-2-220022-2-22−200002−22−2-222-2-22-22−22−220000000002−22−22−200002−2002-2−22−2200000-2200000000002−20−22000
χ522-2-2222002-2-2-2-220022-2-22−200002−22−2-22-22-22-22−22−220000000002−22−22−20000−2200-22−22−22000002-20000000000−2202−2000
χ532-2-2222002-2-2-2-220022-2-2−220000−22−222-22-22-22-2−22−22000000000−22−22−220000−22002-2−22−22000002-20000000000−220−22000
χ542-2-2222002-2-2-2-220022-2-2−220000−22−222-2-222-22-2−22−22000000000−22−22−2200002−200-22−22−2200000-2200000000002−202−2000
χ552-2-2222002-2-2-2-220022-2-2−220000−22−22-222-2-22-222−22−2000000000−22−22−220000−22002-22−22−200000-220000000000−2202−2000
χ562-2-2222002-2-2-2-220022-2-2−220000−22−22-22-22-22-222−22−2000000000−22−22−2200002−200-222−22−2000002-200000000002−20−22000
χ5744444-2-4-4-2-244-2400-2-2-2-200-42-4200004400-2-2-2-20000000000022000000000-400220000000000000000000000000000000
χ5844444-2-4-4-2-244-2400-2-2-2-200-42-420000-4-40022220000000000022000000000400-2-20000000000000000000000000000000
χ594444-24-4-444-2-24-200-2-2-2-2002-42-4000000440000000000000002200000000-400000-2-200000000000000000020000000000
χ604444-24-4-444-2-24-200-2-2-2-2002-42-4000000-4-4000000000000000220000000040000022000000000000000000-20000000000
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
χ6544-4-44400-44-44-4-4004-44-400000000000000000022−22−2222000000000000000000000000022−22−22220000000000000000000000000
χ6644-4-44400-44-44-4-4004-44-4000000000000000000−222222−220000000000000000000000000−222222−220000000000000000000000000
χ6744-4-44-2002-2-442-400-22-22000000i6−i6−i6i60000−2i32i32i3−2i3−222222−2200000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ6844-4-44-2002-2-442-400-22-22000000i6−i6−i6i600002i3−2i3−2i32i322−22−222200000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ6944-4-44-2002-2-442-400-22-22000000−i6i6i6−i60000−2i32i32i3−2i322−22−222200000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ7044-4-44-2002-2-442-400-22-22000000−i6i6i6−i600002i3−2i3−2i32i3−222222−2200000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ714-44-444-44-4-44-44-4004-4-440044-4-4000000000000000000000004-4000000000000000000000000000000000000000000000
χ724-44-44-2-44224-4-2-400-222-2004-2-4200000000−2i3−2i32i32i300000000000-220000000000002i3−2i30000000000000000000000000000000
χ734-44-44-2-44224-4-2-400-222-2004-2-42000000002i32i3−2i3−2i300000000000-22000000000000−2i32i30000000000000000000000000000000
χ744-44-4-244-4-4-4-22424-4-222-2002-4-2400000000000000000-224-4002-2000000000000000000000-220000000000000000000000
χ754-44-4-244-4-4-4-2242-44-222-2002-4-24000000000000000002-2-44002-20000000000000000000002-20000000000000000000000
χ764-44-4-24-44-4-4-224200-222-200-242-400000000000000000000000-220000000000000000000000000000000000023−2300000000
χ774-44-4-24-44-4-4-224200-222-200-242-400000000000000000000000-2200000000000000000000000000000000000−232300000000
χ784-44-4-2-24-422-22-224-41-1-110022-2-2−2i3−2i32i32i30000000000000-22-22−2i32i3-1100i3i3−i3−i30000000000000001-1i3−i300000000000000000000
χ794-44-4-2-24-422-22-224-41-1-110022-2-22i32i3−2i3−2i30000000000000-22-222i3−2i3-1100−i3−i3i3i30000000000000001-1−i3i300000000000000000000
χ804-44-4-2-24-422-22-22-441-1-110022-2-2−2i3−2i32i32i300000000000002-22-22i3−2i3-1100i3i3−i3−i3000000000000000-11−i3i300000000000000000000
χ814-44-4-2-24-422-22-22-441-1-110022-2-22i32i3−2i3−2i300000000000002-22-2−2i32i3-1100−i3−i3i3i3000000000000000-11i3−i300000000000000000000
χ824-4-444-200-22-4-42400-2-22222−220000−22−224-400-22-2222−2222−2200000000022−22−22−220000000000−22−220000000000000000000000000
χ834-4-444-200-22-4-42400-2-22222−220000−22−22-44002-22-2−2222−222200000000022−22−22−2200000000002−22−20000000000000000000000000
χ844-4-444-200-22-4-42400-2-222−222200002−22−24-400-22-22−2222−2222000000000−22222−22−200000000002−22−20000000000000000000000000
χ854-4-444-200-22-4-42400-2-222−222200002−22−2-44002-22-222−2222−22000000000−22222−22−20000000000−22−220000000000000000000000000
χ864-4-44-24004-422-4-200-2-22222−22000022−2222−22004-400000000000000000−22−22−22000022−2200-22000000000000000000000−22000000
χ874-4-44-24004-422-4-200-2-22222−22000022−2222−2200-4400000000000000000−22−22−220000−2222002-20000000000000000000002−2000000
χ884-4-44-24004-422-4-200-2-222−22220000−2222−2222004-4000000000000000002−22−22−20000−222200-220000000000000000000002−2000000
χ894-4-44-24004-422-4-200-2-222−22220000−2222−222200-44000000000000000002−22−22−2000022−22002-2000000000000000000000−22000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4800-884-4-8400-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4004-44-444002-22-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ9388-8-8-4-4004-44-444002-22-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ948-88-8-4-4-8844-44-44002-2-2200-4-444000000000000000000000002-2000000000000000000000000000000000000000000000
χ958-8-88-4-400-44444-40022-2-242−420000−2222−2222000000000000000000000−22222−22−2000000000000000000000000000000000000000
χ968-8-88-4-400-44444-40022-2-2−4242000022−2222−2200000000000000000000022−22−22−22000000000000000000000000000000000000000

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