Finite Group Databasebeta

← Group #11884432

Character table — Group #11884432

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order12223344666666222346666666666666661212121212124426666666666666612121212122444488121212122446668121212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111-1111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-111-111-1-1-1-11-1-1-1111-111-1-1-1-11111-1-1-1-1-1
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
χ51111111111111111-11-11111-1-1-1-111-1-1-1-111-1-111111-1-1-111-1-11111-1-1-1-1-111-1-11-111-111-1-111-11-11-1-1-1-111-1-11111-1-1111-1-1
χ61111111111111111-11-11111-1-1-1-111-1-1-1-111-1-111111-1-1-111-1-11111-1-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-11111-1-1-1-1-111-1-111-1-1-111
χ71111111111111111-11-11111-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-111111111-1-1-1-11-1-1-1-111111-1-111-1-1-1-1-111
χ81111111111111111-11-11111-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-11-1-11-1-111-1-11-11-11111-1-111-1-1-1-111111-1-1
χ911111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111-1-1111-1111-1-1-1-1-1-1-1-1-1-111-1
χ1011111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-11-1-111-1-1-1-1-1-1111111-1-11
χ1111111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1111-111-1-1111111-1-1-1-111-1-11
χ1211111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-1-111-1-1-11-1-1-111111111-1-111-1
χ1311111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-1-1-11111-111-1-11-111-1-1-1-1-111-1-111-1-11-11111-1-1-1-111-1-11-11
χ1411111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-1-1-11111-111-1-11-1-1-1-111-1-1111-11111-1-1-1-111-1-111-1-111-11-1
χ1511111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-111-1-1-1-11111-111-1-1-11111-1-111-1-1-11-1-1-1-11111-1-111-1-11111-11-1
χ1611111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-111-1-1-1-11111-111-1-1-11-1-111111-1-111-1-111-11-1-1-1-11111-1-1-1-11-11
χ17222222-2-22222220022-2000022222222222-2-2-2-2-2-222000000000000000-2-2-2-2-2-2-2002002222000-2000-2000000000000000
χ18222222-2-22222220022-2000022222222222-2-2-2-2-2-2-2-2000000000000000-2-2-2-2-22200-200-2-2-2-200020002000000000000000
χ19222222-2-222222200-2220000-2-2-2-222-2-2-2-22-222-2-2-2220000000000000002-2-222-2200-200-2-222000-20002000000000000000
χ20222222-2-222222200-2220000-2-2-2-222-2-2-2-22-222-2-2-2-2-20000000000000002-2-2222-20020022-2-20002000-2000000000000000
χ2122222-122-1-12-122222-12222222-1-1-1-1-1-1-1-1-1-1-1-122-100222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1002202200002000-1-120-1-10000-1-1-1-100000
χ2222222-122-1-12-122222-12222222-1-1-1-1-1-1-1-1-1-1-1-122-100222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-100-2-20-2-20000-200011-20110000111100000
χ2322222-122-1-12-12222-2-1-22222-2-211-1-11111-1-11122-100-2-2-2-1-111-1-1-1-11111-2-1-11100220220000-200011-20-1-10000-1-11100000
χ2422222-122-1-12-12222-2-1-22222-2-211-1-11111-1-11122-100-2-2-2-1-111-1-1-1-11111-2-1-11100-2-20-2-200002000-1-12011000011-1-100000
χ2522222-122-1-12-122-2-22-12-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122-100-2-2-21111111111112-1-1-1-100220-2-200002000-1-1-20-1-10000111100000
χ2622222-122-1-12-122-2-22-12-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122-100-2-2-21111111111112-1-1-1-100-2-20220000-20001120110000-1-1-1-100000
χ2722222-122-1-12-122-2-2-2-1-2-2-2-2-2-2-211-1-11111-1-11122-10022211-1-11111-1-1-1-1-2-1-11100220-2-20000-20001120-1-1000011-1-100000
χ2822222-122-1-12-122-2-2-2-1-2-2-2-2-2-2-211-1-11111-1-11122-10022211-1-11111-1-1-1-1-2-1-11100-2-202200002000-1-1-20110000-1-11100000
χ292222-122222-12-1-1222-12-1-1-1-1-1-122-1-1-1-1-1-1-1222-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12200200-1-1-1-1022-1000-100-1-1-1-1000000000
χ302222-122222-12-1-1222-12-1-1-1-1-1-122-1-1-1-1-1-1-1222-1-12-2-22-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-20011110-2-210001001111000000000
χ312222-122222-12-1-122-2-1-2-1-1-1-111-2-2-1-11111-12-2-2-1-1222-21122-2-2-1-1-1-111111-1-1112-200-20011-1-102-2-100010011-1-1000000000
χ322222-122222-12-1-122-2-1-2-1-1-1-111-2-2-1-11111-12-2-2-1-12-2-2-21122-2-2-1-1-1-111111-1-111-2200200-1-1110-221000-100-1-111000000000
χ332222-122222-12-1-1-2-22-121111-1-122-1-1-1-1-1-1-1222-1-1222-211-2-2-2-211111111-1-1-1-1-12200200-1-1-1-10-2-2-1000-1001111000000000
χ342222-122222-12-1-1-2-22-121111-1-122-1-1-1-1-1-1-1222-1-12-2-2-211-2-2-2-211111111-1-1-1-1-1-2-200-20011110221000100-1-1-1-1000000000
χ352222-122222-12-1-1-2-2-2-1-2111111-2-2-1-11111-12-2-2-1-12222-1-1-2-2221111-1-1-1-11-1-1112-200-20011-1-10-22-1000100-1-111000000000
χ362222-122222-12-1-1-2-2-2-1-2111111-2-2-1-11111-12-2-2-1-12-2-22-1-1-2-2221111-1-1-1-11-1-111-2200200-1-11102-21000-10011-1-1000000000
χ372222-12-2-222-12-1-1002-1-2−i3−i3i3i3-1-122-1-1-1-1-1-1-1-2-2-211-2220−i3i30000−i3−i3i3i3−i3−i3i3i311111-2-200200-1-1-1-10001000100−i3i3−i3i3000000000
χ382222-12-2-222-12-1-1002-1-2−i3−i3i3i3-1-122-1-1-1-1-1-1-1-2-2-211-2-2-20−i3i30000−i3−i3i3i3−i3−i3i3i3111112200-2001111000-1000-100i3−i3i3−i3000000000
χ392222-12-2-222-12-1-1002-1-2i3i3−i3−i3-1-122-1-1-1-1-1-1-1-2-2-211-2220i3−i30000i3i3−i3−i3i3i3−i3−i311111-2-200200-1-1-1-10001000100i3−i3i3−i3000000000
χ402222-12-2-222-12-1-1002-1-2i3i3−i3−i3-1-122-1-1-1-1-1-1-1-2-2-211-2-2-20i3−i30000i3i3−i3−i3i3i3−i3−i3111112200-2001111000-1000-100−i3i3−i3i3000000000
χ412222-12-2-222-12-1-100-2-12−i3−i3i3i311-2-2-1-11111-1-22211-2220i3−i30000−i3−i3i3i3i3i3−i3−i3-111-1-1-2200-20011-1-10001000-100i3−i3−i3i3000000000
χ422222-12-2-222-12-1-100-2-12−i3−i3i3i311-2-2-1-11111-1-22211-2-2-20i3−i30000−i3−i3i3i3i3i3−i3−i3-111-1-12-200200-1-111000-1000100−i3i3i3−i3000000000
χ432222-12-2-222-12-1-100-2-12i3i3−i3−i311-2-2-1-11111-1-22211-2220−i3i30000i3i3−i3−i3−i3−i3i3i3-111-1-1-2200-20011-1-10001000-100−i3i3i3−i3000000000
χ442222-12-2-222-12-1-100-2-12i3i3−i3−i311-2-2-1-11111-1-22211-2-2-20−i3i30000i3i3−i3−i3−i3−i3i3i3-111-1-12-200200-1-111000-1000100i3−i3−i3i3000000000
χ452-22-222-22-2-2-22-222-20202-22-20000-2-200002-2002-22000002-2002-22-2000002-200002-202-20000000000002-200002-20000000
χ462-22-222-22-2-2-22-222-20202-22-20000-2-200002-2002-22000002-2002-22-2000002-20000-220-22000000000000-220000-220000000
χ472-22-222-22-2-2-22-22-22020-22-220000-2-200002-2002-2200000-2200-22-22000002-200002-20-220000000000002-20000-220000000
χ482-22-222-22-2-2-22-22-22020-22-220000-2-200002-2002-2200000-2200-22-22000002-20000-2202-2000000000000-2200002-20000000
χ492-22-22-1-2211-2-1-222-20-102-22-200−i3i311−i3−i3i3i3-11−i3i32-2-100000-11−i3i3-11-11−i3i3−i3i30-11−i3i3002-202-200000000−i3i300-110000-11−i3i300000
χ502-22-22-1-2211-2-1-222-20-102-22-200−i3i311−i3−i3i3i3-11−i3i32-2-100000-11−i3i3-11-11−i3i3−i3i30-11−i3i300-220-2200000000i3−i3001-100001-1i3−i300000
χ512-22-22-1-2211-2-1-222-20-102-22-200i3−i311i3i3−i3−i3-11i3−i32-2-100000-11i3−i3-11-11i3−i3i3−i30-11i3−i3002-202-200000000i3−i300-110000-11i3−i300000
χ522-22-22-1-2211-2-1-222-20-102-22-200i3−i311i3i3−i3−i3-11i3−i32-2-100000-11i3−i3-11-11i3−i3i3−i30-11i3−i300-220-2200000000−i3i3001-100001-1−i3i300000
χ532-22-22-1-2211-2-1-22-220-10-22-2200−i3i311−i3−i3i3i3-11−i3i32-2-1000001-1i3−i31-11-1i3−i3i3−i30-11−i3i3002-20-2200000000−i3i300-1100001-1i3−i300000
χ542-22-22-1-2211-2-1-22-220-10-22-2200−i3i311−i3−i3i3i3-11−i3i32-2-1000001-1i3−i31-11-1i3−i3i3−i30-11−i3i300-2202-200000000i3−i3001-10000-11−i3i300000
χ552-22-22-1-2211-2-1-22-220-10-22-2200i3−i311i3i3−i3−i3-11i3−i32-2-1000001-1−i3i31-11-1−i3i3−i3i30-11i3−i3002-20-2200000000i3−i300-1100001-1−i3i300000
χ562-22-22-1-2211-2-1-22-220-10-22-2200i3−i311i3i3−i3−i3-11i3−i32-2-1000001-1−i3i31-11-1−i3i3−i3i30-11i3−i300-2202-200000000−i3i3001-10000-11i3−i300000
χ5744444-2-4-4-2-24-244004-2-4000044-2-2-2-2-2-2-2-2-2222-4-4200000000000000000-422220000000000000000000000000000000000
χ5844444-2-4-4-2-24-24400-4-240000-4-422-2-22222-22-2-2-4-4200000000000000000422-2-20000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-244414-2-2-2-2-2-2-2-21111111-2-2-2-2-2-2004-2-2-2-2-2-211111111-211110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-244-41-4-2-2-2-2222211-1-1-1-11-222-2-2-200-422-2-2221111-1-1-1-1211-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4-44142222-2-2-2-21111111-2-2-2-2-2-200-4222222-1-1-1-1-1-1-1-1-211110000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-4-4-41-42222222211-1-1-1-11-222-2-2-2004-2-222-2-2-1-1-1-11111211-1-10000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20041-4−2i3−2i32i32i3-2-2-2-21111111222222000−2i32i30000i3i3−i3−i3i3i3−i3−i32-1-1-1-10000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20041-42i32i3−2i3−2i3-2-2-2-211111112222220002i3−2i30000−i3−i3i3i3−i3−i3i3i32-1-1-1-10000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-200-414−2i3−2i32i32i3222211-1-1-1-112-2-22220002i3−2i30000i3i3−i3−i3−i3−i3i3i3-2-1-1110000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-200-4142i32i3−2i3−2i3222211-1-1-1-112-2-2222000−2i32i30000−i3−i3i3i3i3i3−i3−i3-2-1-1110000000000000000000000000000000000
χ6744-4-444004-44-4-4-400040000000004-40000-40000004i−4i000000000000000000000000000004i−4i00000000000000000000000
χ6844-4-444004-44-4-4-400040000000004-40000-4000000−4i4i00000000000000000000000000000−4i4i00000000000000000000000
χ6944-4-4-24004-4-2-422000-200000−2i32i300-22−2i32i3−2i32i320000004i−4i00000000000000000000000000023−23−2i2i00000000000000000000000
χ7044-4-4-24004-4-2-422000-200000−2i32i300-22−2i32i3−2i32i32000000−4i4i000000000000000000000000000−23232i−2i00000000000000000000000
χ7144-4-4-24004-4-2-422000-2000002i3−2i300-222i3−2i32i3−2i320000004i−4i000000000000000000000000000−2323−2i2i00000000000000000000000
χ7244-4-4-24004-4-2-422000-2000002i3−2i300-222i3−2i32i3−2i32000000−4i4i00000000000000000000000000023−232i−2i00000000000000000000000
χ734-44-4444-4-4-4-44-440004000000000-4-400004400-44-4000000000000000000-44000000000000000000000000000000000000
χ744-44-44-24-422-4-2-44000-20000000−2i32i322−2i3−2i32i32i3-2-22i3−2i3-4420000000000000000002-22i3−2i30000000000000000000000000000000000
χ754-44-44-24-422-4-2-44000-200000002i3−2i3222i32i3−2i3−2i3-2-2−2i32i3-4420000000000000000002-2−2i32i30000000000000000000000000000000000
χ764-44-4-244-4-4-4242-2000-20−2i32i32i3−2i30000220000-24002-2-4000000000−2i32i32i3−2i3000002-2000000000000000000000000000000000000
χ774-44-4-244-4-4-4242-2000-202i3−2i3−2i32i30000220000-24002-2-40000000002i3−2i3−2i32i3000002-2000000000000000000000000000000000000
χ784-44-4-24-44-4-4242-24-40-20-22-220000220000-2-400-224000004-400-22-2200000-22000000000000000000000000000000000000
χ794-44-4-24-44-4-4242-2-440-202-22-20000220000-2-400-22400000-44002-22-200000-22000000000000000000000000000000000000
χ804-44-4-2-24-4222-22-200010−2i32i32i3−2i300−2i32i3-1-1i3i3−i3−i31-22i3−2i32-22000000000i3−i3−i3i3-333-30-11−i3i30000000000000000000000000000000000
χ814-44-4-2-24-4222-22-200010−2i32i32i3−2i3002i3−2i3-1-1−i3−i3i3i31-2−2i32i32-22000000000i3−i3−i3i33-3-330-11i3−i30000000000000000000000000000000000
χ824-44-4-2-24-4222-22-2000102i3−2i3−2i32i300−2i32i3-1-1i3i3−i3−i31-22i3−2i32-22000000000−i3i3i3−i33-3-330-11−i3i30000000000000000000000000000000000
χ834-44-4-2-24-4222-22-2000102i3−2i3−2i32i3002i3−2i3-1-1−i3−i3i3i31-2−2i32i32-22000000000−i3i3i3−i3-333-30-11i3−i30000000000000000000000000000000000
χ844-44-4-2-2-44222-22-24-4010-22-2200−2i32i3-1-1i3i3−i3−i312−2i32i3-22-200000-22−2i32i31-11-1i3−i3i3−i301-1i3−i30000000000000000000000000000000000
χ854-44-4-2-2-44222-22-24-4010-22-22002i3−2i3-1-1−i3−i3i3i3122i3−2i3-22-200000-222i3−2i31-11-1−i3i3−i3i301-1−i3i30000000000000000000000000000000000
χ864-44-4-2-2-44222-22-2-440102-22-200−2i32i3-1-1i3i3−i3−i312−2i32i3-22-2000002-22i3−2i3-11-11−i3i3−i3i301-1i3−i30000000000000000000000000000000000
χ874-44-4-2-2-44222-22-2-440102-22-2002i3−2i3-1-1−i3−i3i3i3122i3−2i3-22-2000002-2−2i32i3-11-11i3−i3i3−i301-1−i3i30000000000000000000000000000000000
χ884-4-444400-44-4-44-40004000000000-440000-400000000000000000000000000000000000000000000000000000000022−22000
χ894-4-444400-44-4-44-40004000000000-440000-4000000000000000000000000000000000000000000000000000000000−2222000
χ9088-8-88-400-4484-8-8000-4000000000-440000400000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-44-4444000200000−4i34i3002-22i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-44440002000004i3−4i3002-2−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000
χ938-8-888-4004-4-848-8000-40000000004-40000400000000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800-884-8-44000-40000000004-40000400000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4004-444-440002000000000-226-6-66-200000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4004-444-440002000000000-22-666-6-200000000000000000000000000000000000000000000000000000000000000

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