Finite Group Databasebeta

← Group #11884098

Character table — Group #11884098

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order1222334466666623444666666666661212121212121212121222412121212121212121212121212121212121212224446688121244466812121212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111111-1-1111-11-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-111-1-1-11-1111-1-1-111-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-11111111111111111-1-1-1-1111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-111-11-111-11-1-1111-1-1-1-1-1-1-1-111-1
χ611111111111111111-1-11111111111111111-1-1-1-1111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-1-1-11-1-1111111-1-11
χ711111111111111111-1-11111111111111111-1-1-1-11-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-11111-111-1-1-1-111-1-11
χ811111111111111111-1-11111111111111111-1-1-1-11-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-11-111-1-1-1111111-1-111-1
χ911111111111111-11-111-1-1-1-111-1-1-1-111-1-1111111111-111-1-1-1-1-111-1-11111-1-1-1-111-11-11111-1-11-1-111-1-1-1-1-1-111111-1-1111-1-1
χ1011111111111111-11-111-1-1-1-111-1-1-1-111-1-1111111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-111-1-1-1-111-1-1-11-1-1-111111-1-111-1-1-111
χ1111111111111111-11-111-1-1-1-111-1-1-1-111-1-11111111-1-1-111-1-1-1-1-111-1-11111-1-1-1-1111-11-1-11111-1-1111-1111-1-1-1-1-111-1-1-1-1-111
χ1211111111111111-11-111-1-1-1-111-1-1-1-111-1-11111111-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-1-1-111-111-1-1111111-1-1-1-1-111111-1-1
χ1311111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-11111-1-1-1-1-1-1111111-11-111-1-1-1-1-1-11111-111-1-11-1-1-1-111-1-11-11
χ1411111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-11111-1-1-1-1-1-11111-1-1-11-11111-1-1-111-1-1-1-111111-1-111-1-111-11-1
χ1511111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-11-1-111-11111-1-1-1-1-1-11111111-11-1-1-1-1111-1-11111-1-1-1-1-111-1-11111-11-1
χ1611111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-11-1-111-11111-1-1-1-1-1-11111-1-11-11-1-1111111-1-1-1-11-1-111-11111-1-1-1-11-11
χ17222222-2-222222222-20022222222222-2-2-2-2-20000-22200000-200-2-2-2-200000000002-2-2220022000000-20000-200000000000
χ18222222-2-222222222-20022222222222-2-2-2-2-20000-2-2-200000-200-2-2-2-20000000000-222-2-200-2-200000020000200000000000
χ19222222-2-2222222-22200-2-2-2-222-2-2-2-22-222-2-20000-22200000200-2-2220000000000-2-222200-2-200000020000-200000000000
χ20222222-2-2222222-22200-2-2-2-222-2-2-2-22-222-2-20000-2-2-200000200-2-222000000000022-2-2-20022000000-20000200000000000
χ2122222-122-1-122-122-122222-1-1-1-1-1-1-1-1-1-1-1-1222222-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122000002200020-1-12000-1-1000-1-1-1-100000
χ2222222-122-1-122-122-122222-1-1-1-1-1-1-1-1-1-1-1-1222222-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-200000-2-2000-2011-200011000111100000
χ2322222-122-1-122-122-12-2-222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-100-211112-2-2-1-1-1-1111111112200000-2-200020-1-1-2000-1-1000111100000
χ2422222-122-1-122-122-12-2-222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-100-211112-2-2-1-1-1-111111111-2-20000022000-2011200011000-1-1-1-100000
χ2522222-122-1-122-12-2-1-222-2-211-1-11111-1-111222222-100-2-1-111-2-2-2-1-111-1-1-1-11111220000022000-20-1-1-200011000-1-11100000
χ2622222-122-1-122-12-2-1-222-2-211-1-11111-1-111222222-100-2-1-111-2-2-2-1-111-1-1-1-11111-2-200000-2-200020112000-1-100011-1-100000
χ2722222-122-1-122-12-2-1-2-2-2-2-211-1-11111-1-11122-2-2-2-2-100211-1-1-222-1-1111111-1-1-1-12200000-2-2000-20-1-120001100011-1-100000
χ2822222-122-1-122-12-2-1-2-2-2-2-211-1-11111-1-11122-2-2-2-2-100211-1-1-222-1-1111111-1-1-1-1-2-200000220002011-2000-1-1000-1-11100000
χ292222-122222-1-12-12-1222-1-122-1-1-1-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222-1-100-1-1202000-1-1-100-1-1-1000000000
χ302222-122222-1-12-12-1222-1-122-1-1-1-1-1-1-1222-1-1-1-1-1-12-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2110011-20-200011100111000000000
χ312222-122222-1-12-12-12-2-2-1-122-1-1-1-1-1-1-1222-1-11111222-2-2-2-2-2-111-1-1-1-11111111100222-1-100-1-1-20-2000-11100-111000000000
χ322222-122222-1-12-12-12-2-2-1-122-1-1-1-1-1-1-1222-1-111112-2-2-2-2-2-2-2-111-1-1-1-11111111100-2-2-21100112020001-1-1001-1-1000000000
χ332222-122222-1-12-1-2-1-22211-2-2-1-11111-12-2-2-1-1-1-1-1-1222-222-2-2111-1-111-1-1-1-1111100-22-2-1-1001120-200011100-1-1-1000000000
χ342222-122222-1-12-1-2-1-22211-2-2-1-11111-12-2-2-1-1-1-1-1-12-2-2-222-2-2111-1-111-1-1-1-11111002-221100-1-1-202000-1-1-100111000000000
χ352222-122222-1-12-1-2-1-2-2-211-2-2-1-11111-12-2-2-1-111112222-2-2221-1-1-1-1111111-1-1-1-100-22-2-1-10011-2020001-1-100-111000000000
χ362222-122222-1-12-1-2-1-2-2-211-2-2-1-11111-12-2-2-1-111112-2-22-2-2221-1-1-1-1111111-1-1-1-1002-221100-1-120-2000-111001-1-1000000000
χ372222-12-2-222-1-12-12-1-200-1-122-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-222000001−i3i31111−i3−i3i3i3−i3−i3i3i3002-2-2-1-100-1-10000001−i3i3001−i3i3000000000
χ382222-12-2-222-1-12-12-1-200-1-122-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-2-2-2000001−i3i31111−i3−i3i3i3−i3−i3i3i300-222110011000000-1i3−i300-1i3−i3000000000
χ392222-12-2-222-1-12-12-1-200-1-122-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-222000001i3−i31111i3i3−i3−i3i3i3−i3−i3002-2-2-1-100-1-10000001i3−i3001i3−i3000000000
χ402222-12-2-222-1-12-12-1-200-1-122-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-2-2-2000001i3−i31111i3i3−i3−i3i3i3−i3−i300-222110011000000-1−i3i300-1−i3i3000000000
χ412222-12-2-222-1-12-1-2-120011-2-2-1-11111-1-22211−i3−i3i3i3-22200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i300-2-22-1-10011000000-1i3−i3001−i3i3000000000
χ422222-12-2-222-1-12-1-2-120011-2-2-1-11111-1-22211−i3−i3i3i3-2-2-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i30022-21100-1-10000001−i3i300-1i3−i3000000000
χ432222-12-2-222-1-12-1-2-120011-2-2-1-11111-1-22211i3i3−i3−i3-22200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i300-2-22-1-10011000000-1−i3i3001i3−i3000000000
χ442222-12-2-222-1-12-1-2-120011-2-2-1-11111-1-22211i3i3−i3−i3-2-2-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i30022-21100-1-10000001i3−i300-1−i3i3000000000
χ452-22-222-22-2-2-2-2220202-20000-2-200002-2002-22-22-220002-2000002-2002-22-200002-2000002-2000002-20000000002-20000000
χ462-22-222-22-2-2-2-2220202-20000-2-200002-2002-22-22-220002-2000002-2002-22-20000-2200000-2200000-22000000000-220000000
χ472-22-222-22-2-2-2-222020-220000-2-200002-2002-2-22-222000-22000002-200-22-2200002-200000-22000002-2000000000-220000000
χ482-22-222-22-2-2-2-222020-220000-2-200002-2002-2-22-222000-22000002-200-22-220000-22000002-200000-220000000002-20000000
χ492-22-22-1-2211-2-2-120-102-200−i3i311−i3−i3i3i3-11−i3i32-22-22-2-1000-11−i3i3000-11−i3i3-11-11−i3i3−i3i32-2000002-200000-110000−i3i3000-11−i3i300000
χ502-22-22-1-2211-2-2-120-102-200−i3i311−i3−i3i3i3-11−i3i32-22-22-2-1000-11−i3i3000-11−i3i3-11-11−i3i3−i3i3-2200000-22000001-10000i3−i30001-1i3−i300000
χ512-22-22-1-2211-2-2-120-102-200i3−i311i3i3−i3−i3-11i3−i32-22-22-2-1000-11i3−i3000-11i3−i3-11-11i3−i3i3−i32-2000002-200000-110000i3−i3000-11i3−i300000
χ522-22-22-1-2211-2-2-120-102-200i3−i311i3i3−i3−i3-11i3−i32-22-22-2-1000-11i3−i3000-11i3−i3-11-11i3−i3i3−i3-2200000-22000001-10000−i3i30001-1−i3i300000
χ532-22-22-1-2211-2-2-120-10-2200−i3i311−i3−i3i3i3-11−i3i32-2-22-22-10001-1i3−i3000-11−i3i31-11-1i3−i3i3−i32-200000-2200000-110000−i3i30001-1i3−i300000
χ542-22-22-1-2211-2-2-120-10-2200−i3i311−i3−i3i3i3-11−i3i32-2-22-22-10001-1i3−i3000-11−i3i31-11-1i3−i3i3−i3-22000002-2000001-10000i3−i3000-11−i3i300000
χ552-22-22-1-2211-2-2-120-10-2200i3−i311i3i3−i3−i3-11i3−i32-2-22-22-10001-1−i3i3000-11i3−i31-11-1−i3i3−i3i32-200000-2200000-110000i3−i30001-1−i3i300000
χ562-22-22-1-2211-2-2-120-10-2200i3−i311i3i3−i3−i3-11i3−i32-2-22-22-10001-1−i3i3000-11i3−i31-11-1−i3i3−i3i3-22000002-2000001-10000−i3i3000-11i3−i300000
χ5744444-2-4-4-2-244-244-2-40044-2-2-2-2-2-2-2-2-2222-4-4000020000000-4002222000000000000000000000000000000000000000000
χ5844444-2-4-4-2-244-24-4-2400-4-422-2-22222-22-2-2-4-400002000000040022-2-2000000000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-241444-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2004-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-2414-4-4-2-2-2-21111111-2-2-2-2-22222-200-42222-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-41-444222211-1-1-1-11-222-2-2-2-2-2-2-200-4-2-22222211-1-11111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-41-4-4-4222211-1-1-1-11-222-2-22222-200422-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-241-400-2-2-2-2111111122222−2i3−2i32i32i3200000002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-241-400-2-2-2-21111111222222i32i3−2i3−2i32000000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2-41400222211-1-1-1-112-2-222−2i3−2i32i32i320000000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2-41400222211-1-1-1-112-2-2222i32i3−2i3−2i320000000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-444004-44-4-4-40400000004-40000-400000000004-400000000000000000000000004-4000000000000000000000000000
χ6844-4-444004-44-4-4-40400000004-40000-40000000000-440000000000000000000000000-44000000000000000000000000000
χ6944-4-4-24004-4-22-420-2000−2i32i300-22−2i32i3−2i32i3200000000004-40000000000000000000000000-2200−2i32i300000000000000000000000
χ7044-4-4-24004-4-22-420-2000−2i32i300-22−2i32i3−2i32i320000000000-4400000000000000000000000002-2002i3−2i300000000000000000000000
χ7144-4-4-24004-4-22-420-20002i3−2i300-222i3−2i32i3−2i3200000000004-40000000000000000000000000-22002i3−2i300000000000000000000000
χ7244-4-4-24004-4-22-420-20002i3−2i300-222i3−2i32i3−2i320000000000-4400000000000000000000000002-200−2i32i300000000000000000000000
χ734-44-4444-4-4-4-4-444040000000-4-400004400-440000-40000000000-4400000000000000000000000000000000000000000000
χ744-44-44-24-422-4-4-240-200000−2i32i322−2i3−2i32i32i3-2-22i3−2i3-440000200000000002-22i3−2i3000000000000000000000000000000000000000000
χ754-44-44-24-422-4-4-240-2000002i3−2i3222i32i3−2i3−2i3-2-2−2i32i3-440000200000000002-2−2i32i3000000000000000000000000000000000000000000
χ764-44-4-244-4-4-4224-20-20000000220000-24002-2−2i32i32i3−2i3-400000000002-200−2i32i32i3−2i300000000000000000000000000000000000000
χ774-44-4-244-4-4-4224-20-20000000220000-24002-22i3−2i3−2i32i3-400000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000
χ784-44-4-24-44-4-4224-20-204-40000220000-2-400-22-22-2240004-400000-2200-22-2200000000000000000000000000000000000000
χ794-44-4-24-44-4-4224-20-20-440000220000-2-400-222-22-24000-4400000-22002-22-200000000000000000000000000000000000000
χ804-44-4-2-24-42222-2-20100000−2i32i3-1-1i3i3−i3−i31-22i3−2i32-2−2i32i32i3−2i320000000000-11−i3i3i3−i3−i3i3-333-30000000000000000000000000000000000
χ814-44-4-2-24-42222-2-20100000−2i32i3-1-1i3i3−i3−i31-22i3−2i32-22i3−2i3−2i32i320000000000-11−i3i3−i3i3i3−i33-3-330000000000000000000000000000000000
χ824-44-4-2-24-42222-2-201000002i3−2i3-1-1−i3−i3i3i31-2−2i32i32-2−2i32i32i3−2i320000000000-11i3−i3i3−i3−i3i33-3-330000000000000000000000000000000000
χ834-44-4-2-24-42222-2-201000002i3−2i3-1-1−i3−i3i3i31-2−2i32i32-22i3−2i3−2i32i320000000000-11i3−i3−i3i3i3−i3-333-30000000000000000000000000000000000
χ844-44-4-2-2-442222-2-20104-400−2i32i3-1-1i3i3−i3−i312−2i32i3-22-22-22-2000-22−2i32i30001-1i3−i31-11-1i3−i3i3−i30000000000000000000000000000000000
χ854-44-4-2-2-442222-2-20104-4002i3−2i3-1-1−i3−i3i3i3122i3−2i3-22-22-22-2000-222i3−2i30001-1−i3i31-11-1−i3i3−i3i30000000000000000000000000000000000
χ864-44-4-2-2-442222-2-2010-4400−2i32i3-1-1i3i3−i3−i312−2i32i3-222-22-2-20002-22i3−2i30001-1i3−i3-11-11−i3i3−i3i30000000000000000000000000000000000
χ874-44-4-2-2-442222-2-2010-44002i3−2i3-1-1−i3−i3i3i3122i3−2i3-222-22-2-20002-2−2i32i30001-1−i3i3-11-11i3−i3i3−i30000000000000000000000000000000000
χ884-4-444400-44-44-4-4040000000-440000-40000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ894-4-444400-44-44-4-4040000000-440000-400000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ9088-8-88-400-448-84-80-40000000-4400004000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-44-444402000−4i34i3002-22i3−2i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-4444020004i3−4i3002-2−2i32i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ938-8-888-4004-4-884-80-400000004-400004000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800-884-4-840-400000004-400004000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4004-44-444020000000-226-6-66-2000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4004-44-444020000000-22-666-6-2000000000000000000000000000000000000000000000000000000000000000000

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