Finite Group Databasebeta

← Group #11889229

Character table — Group #11889229

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order1222334466666622234666666666666666121212121212442666666666666661212121212244448812121212444681212121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111-111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-111-111-1-1-1-1-11-1-11-11111-1-1-1-11111-1-1-1-1-1
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
χ51111111111111111-11-1-1-11111-1-111-1-1-1-111-1-111111-111-1-1-1-11111-1-1-1-1-111-1-11-111-111-1-111-1-111-1-111-1-1-1-11111-1-1111-1-1
χ61111111111111111-11-1-1-11111-1-111-1-1-1-111-1-111111-111-1-1-1-11111-1-1-1-1-111-1-11-1-1-1-1-1-1-1-111-11111-1-1-111-1-111-1-111-1-1-111
χ71111111111111111-11-1-1-11111-1-111-1-1-1-111-1-1111-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-111111111-1-11-1-1-1-1111-1-111-1-111-1-1-1-1-111
χ81111111111111111-11-1-1-11111-1-111-1-1-1-111-1-1111-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-11-1-11-1-111-1-111-1-111-1-11111-1-1-1-111111-1-1
χ911111111111111-1-111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-11-11-111111-1-1-1-1-1-1-1-1-1-111-1
χ1011111111111111-1-111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1111-1-1-1-1-1-1-1-1111111-1-11
χ1111111111111111-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1111-1-1-111111111-1-1-1-111-1-11
χ1211111111111111-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-11-11-11-1-1-1-1-111111111-1-111-1
χ1311111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-11111-1-1-1-11111-111-1-11-111-1-1-1-1-1111-1-111-111-1-111-1-1-1-111-1-11-11
χ1411111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-11111-1-1-1-11111-111-1-11-1-1-1-111-1-11111-11-1-1-1-11111-1-111-1-111-11-1
χ1511111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-11-1-11111-1-1-1-11111-111-1-1-11111-1-111-1-1-1-11-11111-1-1-1-111-1-11111-11-1
χ1611111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-11-1-11111-1-1-1-11111-111-1-1-11-1-111111-1-1-111-1-11-1-111-1-11111-1-1-1-11-11
χ17222222-2-22222220022-2220000222222222-2-2-2-2-2-222000000000000000-2-2-2-2-2-2200-2002222000-20-200000000000000000
χ18222222-2-22222220022-2220000222222222-2-2-2-2-2-2-2-2000000000000000-2-2-2-2-22-200200-2-2-2-200020200000000000000000
χ19222222-2-222222200-222-2-20000-2-222-2-2-2-22-222-2-2-2220000000000000002-2-222-2-200200-2-222000-20200000000000000000
χ20222222-2-222222200-222-2-20000-2-222-2-2-2-22-222-2-2-2-2-20000000000000002-2-2222200-20022-2-200020-200000000000000000
χ2122222-1222-122-1-1222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200200-1-1-1-1202-10-10000-1-1-1-1000000000
χ2222222-1222-122-1-1222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-12-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2001111-20-210100001111000000000
χ2322222-1222-122-1-122-2-1-2-2-2-1-1-1-111-1-11111-12-2-2-1-1222-222-2-211-1-1-1-111111-1-1112-200-20011-1-1-202-101000011-1-1000000000
χ2422222-1222-122-1-122-2-1-2-2-2-1-1-1-111-1-11111-12-2-2-1-12-2-2-222-2-211-1-1-1-111111-1-111-2200200-1-11120-210-10000-1-111000000000
χ2522222-1222-122-1-1-2-22-12221111-1-1-1-1-1-1-1-1-1222-1-1222-2-2-2-2-21111111111-1-1-1-1-12200200-1-1-1-1-20-2-10-100001111000000000
χ2622222-1222-122-1-1-2-22-12221111-1-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-2-21111111111-1-1-1-1-1-2-200-20011112021010000-1-1-1-1000000000
χ2722222-1222-122-1-1-2-2-2-1-2-2-2111111-1-11111-12-2-2-1-12222-2-222-1-11111-1-1-1-11-1-1112-200-20011-1-120-2-1010000-1-111000000000
χ2822222-1222-122-1-1-2-2-2-1-2-2-2111111-1-11111-12-2-2-1-12-2-22-2-222-1-11111-1-1-1-11-1-111-2200200-1-111-20210-1000011-1-1000000000
χ2922222-1-2-22-122-1-1002-1-222−i3−i3i3i3-1-1-1-1-1-1-1-1-1-2-2-211-22200000−i3i3−i3−i3i3i3−i3−i3i3i311111-2200-200-1-1-1-10001010000−i3i3−i3i3000000000
χ3022222-1-2-22-122-1-1002-1-222−i3−i3i3i3-1-1-1-1-1-1-1-1-1-2-2-211-2-2-200000−i3i3−i3−i3i3i3−i3−i3i3i3111112-2002001111000-10-10000i3−i3i3−i3000000000
χ3122222-1-2-22-122-1-1002-1-222i3i3−i3−i3-1-1-1-1-1-1-1-1-1-2-2-211-22200000i3−i3i3i3−i3−i3i3i3−i3−i311111-2200-200-1-1-1-10001010000i3−i3i3−i3000000000
χ3222222-1-2-22-122-1-1002-1-222i3i3−i3−i3-1-1-1-1-1-1-1-1-1-2-2-211-2-2-200000i3−i3i3i3−i3−i3i3i3−i3−i3111112-2002001111000-10-10000−i3i3−i3i3000000000
χ3322222-1-2-22-122-1-100-2-12-2-2−i3−i3i3i311-1-11111-1-22211-22200000i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-1-2-20020011-1-100010-10000i3−i3−i3i3000000000
χ3422222-1-2-22-122-1-100-2-12-2-2−i3−i3i3i311-1-11111-1-22211-2-2-200000i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-12200-200-1-111000-1010000−i3i3i3−i3000000000
χ3522222-1-2-22-122-1-100-2-12-2-2i3i3−i3−i311-1-11111-1-22211-22200000−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-1-2-20020011-1-100010-10000−i3i3i3−i3000000000
χ3622222-1-2-22-122-1-100-2-12-2-2i3i3−i3−i311-1-11111-1-22211-2-2-200000−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-12200-200-1-111000-1010000i3−i3−i3i3000000000
χ372222-1222-12-1-122222-12-1-1222222-1-1-1-1-1-1-1-1-1-122-1002-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-100220220000020020-1-1-1-10000-1-1-1-100000
χ382222-1222-12-1-122222-12-1-1222222-1-1-1-1-1-1-1-1-1-122-1002-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-100-2-20-2-200000-200-2011110000111100000
χ392222-1222-12-1-12222-2-1-2112222-2-2-1-11111-1-11122-100-2-1-111-2-2-1-1-1-11111-2-1-111002202200000-200-20-1-1110000-1-11100000
χ402222-1222-12-1-12222-2-1-2112222-2-2-1-11111-1-11122-100-2-1-111-2-2-1-1-1-11111-2-1-11100-2-20-2-2000002002011-1-1000011-1-100000
χ412222-1222-12-1-122-2-22-12-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-100-21111-2-2111111112-1-1-1-100220-2-200000200-20-1-1-1-10000111100000
χ422222-1222-12-1-122-2-22-12-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-100-21111-2-2111111112-1-1-1-100-2-202200000-2002011110000-1-1-1-100000
χ432222-1222-12-1-122-2-2-2-1-211-2-2-2-2-2-2-1-11111-1-11122-100211-1-1221111-1-1-1-1-2-1-11100220-2-200000-20020-1-111000011-1-100000
χ442222-1222-12-1-122-2-2-2-1-211-2-2-2-2-2-2-1-11111-1-11122-100211-1-1221111-1-1-1-1-2-1-11100-2-202200000200-2011-1-10000-1-11100000
χ452-2-22222-22-2-2-2-222-2020002-22-200-2-2000022002-2-20002-200002-22-2000002-200002i−2i02i−2i00000000002i−2i0000002i−2i0000000
χ462-2-22222-22-2-2-2-222-2020002-22-200-2-2000022002-2-20002-200002-22-2000002-20000−2i2i0−2i2i0000000000−2i2i000000−2i2i0000000
χ472-2-22222-22-2-2-2-22-2202000-22-2200-2-2000022002-2-2000-220000-22-22000002-200002i−2i0−2i2i00000000002i−2i000000−2i2i0000000
χ482-2-22222-22-2-2-2-22-2202000-22-2200-2-2000022002-2-2000-220000-22-22000002-20000−2i2i02i−2i0000000000−2i2i0000002i−2i0000000
χ492-2-22-122-2-1-211-222-20-10−i3i32-22-20011−i3−i3i3i3-1-1−i3i32-21000-11−i3i300-11-11−i3i3−i3i30-11−i3i3002i−2i02i−2i0000000000−ii3−30000−ii3−300000
χ502-2-22-122-2-1-211-222-20-10−i3i32-22-20011−i3−i3i3i3-1-1−i3i32-21000-11−i3i300-11-11−i3i3−i3i30-11−i3i300−2i2i0−2i2i0000000000i−i−330000i−i−3300000
χ512-2-22-122-2-1-211-222-20-10i3−i32-22-20011i3i3−i3−i3-1-1i3−i32-21000-11i3−i300-11-11i3−i3i3−i30-11i3−i3002i−2i02i−2i0000000000−ii−330000−ii−3300000
χ522-2-22-122-2-1-211-222-20-10i3−i32-22-20011i3i3−i3−i3-1-1i3−i32-21000-11i3−i300-11-11i3−i3i3−i30-11i3−i300−2i2i0−2i2i0000000000i−i3−30000i−i3−300000
χ532-2-22-122-2-1-211-22-220-10−i3i3-22-220011−i3−i3i3i3-1-1−i3i32-210001-1i3−i3001-11-1i3−i3i3−i30-11−i3i3002i−2i0−2i2i0000000000−ii3−30000i−i−3300000
χ542-2-22-122-2-1-211-22-220-10−i3i3-22-220011−i3−i3i3i3-1-1−i3i32-210001-1i3−i3001-11-1i3−i3i3−i30-11−i3i300−2i2i02i−2i0000000000i−i−330000−ii3−300000
χ552-2-22-122-2-1-211-22-220-10i3−i3-22-220011i3i3−i3−i3-1-1i3−i32-210001-1−i3i3001-11-1−i3i3−i3i30-11i3−i3002i−2i0−2i2i0000000000−ii−330000i−i3−300000
χ562-2-22-122-2-1-211-22-220-10i3−i3-22-220011i3i3−i3−i3-1-1i3−i32-210001-1−i3i3001-11-1−i3i3−i3i30-11i3−i300−2i2i02i−2i0000000000i−i3−30000−ii−3300000
χ574444-24-4-4-24-2-244004-2-4-2-2000044-2-2-2-2-2-2-2222-4-4200000000000000000-422220000000000000000000000000000000000
χ584444-24-4-4-24-2-24400-4-24220000-4-4-2-22222-22-2-2-4-4200000000000000000422-2-20000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-244-41-422-2-2-2-22211-1-1-1-11-222-2-2-200-4-2-222221111-1-1-1-1211-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4-4414-2-22222-2-21111111-2-2-2-2-2-200-4222222-1-1-1-1-1-1-1-1-211110000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-4-4-41-42222222211-1-1-1-11-222-2-2-200422-2-2-2-2-1-1-1-11111211-1-10000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20041-4-2-2−2i3−2i32i32i3-2-211111112222220000000−2i32i3i3i3−i3−i3i3i3−i3−i32-1-1-1-10000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20041-4-2-22i32i3−2i3−2i3-2-2111111122222200000002i3−2i3−i3−i3i3i3−i3−i3i3i32-1-1-1-10000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-200-41422−2i3−2i32i32i32211-1-1-1-112-2-222200000002i3−2i3i3i3−i3−i3−i3−i3i3i3-2-1-1110000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-200-414222i32i3−2i3−2i32211-1-1-1-112-2-22220000000−2i32i3−i3−i3i3i3i3i3−i3−i3-2-1-1110000000000000000000000000000000000
χ6744-4-44400-4-44-44-400040000000004-40000-4000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6844-4-44400-4-44-44-400040000000004-40000-40000000000000000000000000000000000000000000000000000000002i2−2i2000
χ694-44-44400-44-44-4-40004000000000-440000-40000004i−4i000000000000000000000000000004i−4i00000000000000000000000
χ704-44-44400-44-44-4-40004000000000-440000-4000000−4i4i00000000000000000000000000000−4i4i00000000000000000000000
χ714-44-44-200-4-2-4422000-20000000−2i32i32-2−2i32i3−2i32i320000004i−4i00000000000000000000000000023−23−2i2i00000000000000000000000
χ724-44-44-200-4-2-4422000-20000000−2i32i32-2−2i32i3−2i32i32000000−4i4i000000000000000000000000000−23232i−2i00000000000000000000000
χ734-44-44-200-4-2-4422000-200000002i3−2i32-22i3−2i32i3−2i320000004i−4i000000000000000000000000000−2323−2i2i00000000000000000000000
χ744-44-44-200-4-2-4422000-200000002i3−2i32-22i3−2i32i3−2i32000000−4i4i00000000000000000000000000023−232i−2i00000000000000000000000
χ754-4-4444-444-4-4-4-440004000000000-4-400004-400-444000000000000000000-44000000000000000000000000000000000000
χ764-4-444-24-442-4-42-24-40-2000-22-2200220000-2400-22-40004-40000-22-2200000-22000000000000000000000000000000000000
χ774-4-444-24-442-4-42-2-440-20002-22-200220000-2400-22-4000-4400002-22-200000-22000000000000000000000000000000000000
χ784-4-444-2-4442-4-42-2000-2000−2i32i32i3−2i300220000-2-4002-24000000000−2i32i32i3−2i3000002-2000000000000000000000000000000000000
χ794-4-444-2-4442-4-42-2000-20002i3−2i3−2i32i300220000-2-4002-240000000002i3−2i3−2i32i3000002-2000000000000000000000000000000000000
χ804-4-44-24-44-2-422-44000-20−2i32i300000022−2i3−2i32i32i3-222i3−2i3-44-20000000000000000002-22i3−2i30000000000000000000000000000000000
χ814-4-44-24-44-2-422-44000-202i3−2i3000000222i32i3−2i3−2i3-22−2i32i3-44-20000000000000000002-2−2i32i30000000000000000000000000000000000
χ824-4-44-2-24-4-22222-24-4010−2i32i3-22-2200-1-1i3i3−i3−i31-2−2i32i3-222000-22−2i32i3001-11-1i3−i3i3−i301-1i3−i30000000000000000000000000000000000
χ834-4-44-2-24-4-22222-24-40102i3−2i3-22-2200-1-1−i3−i3i3i31-22i3−2i3-222000-222i3−2i3001-11-1−i3i3−i3i301-1−i3i30000000000000000000000000000000000
χ844-4-44-2-24-4-22222-2-44010−2i32i32-22-200-1-1i3i3−i3−i31-2−2i32i3-2220002-22i3−2i300-11-11−i3i3−i3i301-1i3−i30000000000000000000000000000000000
χ854-4-44-2-24-4-22222-2-440102i3−2i32-22-200-1-1−i3−i3i3i31-22i3−2i3-2220002-2−2i32i300-11-11i3−i3i3−i301-1−i3i30000000000000000000000000000000000
χ864-4-44-2-2-44-22222-200010−2i32i3−2i32i32i3−2i300-1-1i3i3−i3−i3122i3−2i32-2-2000000000i3−i3−i3i3-333-30-11−i3i30000000000000000000000000000000000
χ874-4-44-2-2-44-22222-200010−2i32i32i3−2i3−2i32i300-1-1i3i3−i3−i3122i3−2i32-2-2000000000−i3i3i3−i33-3-330-11−i3i30000000000000000000000000000000000
χ884-4-44-2-2-44-22222-2000102i3−2i3−2i32i32i3−2i300-1-1−i3−i3i3i312−2i32i32-2-2000000000i3−i3−i3i33-3-330-11i3−i30000000000000000000000000000000000
χ894-4-44-2-2-44-22222-2000102i3−2i32i3−2i3−2i32i300-1-1−i3−i3i3i312−2i32i32-2-2000000000−i3i3i3−i3-333-30-11i3−i30000000000000000000000000000000000
χ9088-8-88-400-848-8-44000-4000000000-440000400000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-48004-8-448-8000-4000000000-440000400000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-40044-44-4400020000000002-26-6-66-200000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-40044-44-4400020000000002-2-666-6-200000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4800484-4-8-8000-40000000004-40000400000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-4004-44-44400020000000−4i34i3-222i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-44-444000200000004i3−4i3-22−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000

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