Finite Group Databasebeta

← Group #11888613

Character table — Group #11888613

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order122233446666662223466666666612121212121212121212121244466666666612121212121212121212244448812121212444681212121212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111-111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-111-111-1-1-1-1-11-1-11-1-1-11111-1-11111-1-1-1-1-1
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
χ51111111111111111-11-1-1-111111111-1-111-1-1-1-1-1-1111-111-11111-1-1-1-1-1-111-1-1-1-11-111-111-1-1111-1-11-1-1-1-111-1-11111-1-111-11-1
χ61111111111111111-11-1-1-111111111-1-111-1-1-1-1-1-1111-111-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-111-1-11-11
χ71111111111111111-11-1-1-111111111-1-111-1-1-1-1-1-11-1-1-111-11111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-11-11
χ81111111111111111-11-1-1-111111111-1-111-1-1-1-1-1-11-1-1-111-11111-1-1-1-1-1-111-1-1-1-1-11-1-11-1-111-1-1-111-11111-1-111-1-1-1-11111-11-1
χ911111111111111-1-111111-1-1-1-111111111111111111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111111-1-11111-11-11-11-1-11111-1-1-1-1-1-1-1-111-1
χ1011111111111111-1-111111-1-1-1-111111111111111111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-11111111-1-1-1111-1-1-1-1-1-1-1-1111111-1-11
χ1111111111111111-1-111111-1-1-1-1111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-111111111-1-1-1-111-1-11
χ1211111111111111-1-111111-1-1-1-1111111111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11-11-11-111-1-1-1-1111111-1-111-1
χ1311111111111111-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111111-111-1-1-1-1-111-1-1111-11111-1-1-1-1-1-111-1-1-111
χ1411111111111111-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-111-1111-1-111-1-111-1-111-1-1111-1-1
χ1511111111111111-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11111111111-11111-1-111-1-11-1-1-111-1-111-1-111-1-111111-1-1
χ1611111111111111-1-1-11-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11111111111-11-1-111111-1-111-1-1-11-1-1-1-1111111-1-1-1-1-111
χ17222222-2-22222220022-2220000222-2-2-2-2-2-2-2-2-2-2-2-22200020000220000-2-20000-2200-200-2-222000-20200000000000000000
χ18222222-2-22222220022-2220000222-2-2-2-2-2-2-2-2-2-2-2-2-2-200020000220000-2-200002-20020022-2-200020-200000000000000000
χ19222222-2-222222200-222-2-20000222-222-2-2222222-222000-20000-2-20000-2-20000-2-2002002222000-20-200000000000000000
χ20222222-2-222222200-222-2-20000222-222-2-2222222-2-2-2000-20000-2-20000-2-200002200-200-2-2-2-200020200000000000000000
χ2122222-1222-12-12-1222-1222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200200-1-1-1-1202-10-1-1-10000-1-1000000000
χ2222222-1222-12-12-1222-1222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2001111-20-210111000011000000000
χ2322222-1222-12-12-122-2-1-2-2-2-1-1-1-1-1-1-12-2-2-1-1111111222-2221-1-1-1-111-2-211-1-111112-200-20011-1-120-2-101110000-1-1000000000
χ2422222-1222-12-12-122-2-1-2-2-2-1-1-1-1-1-1-12-2-2-1-11111112-2-2-2221-1-1-1-111-2-211-1-11111-2200200-1-111-20210-1-1-1000011000000000
χ2522222-1222-12-12-1-2-22-12221111-1-1-1222-1-1-1-1-1-1-1-1222-2-2-2-11111-1-1-2-211-1-111112200200-1-1-1-1-20-2-10-111000011000000000
χ2622222-1222-12-12-1-2-22-12221111-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2-2-11111-1-1-2-211-1-11111-2-200-2001111202101-1-10000-1-1000000000
χ2722222-1222-12-12-1-2-2-2-1-2-2-21111-1-1-12-2-2-1-11111112222-2-2111111122-1-1-1-1-1-1-1-12-200-20011-1-1-202-101-1-1000011000000000
χ2822222-1222-12-12-1-2-2-2-1-2-2-21111-1-1-12-2-2-1-11111112-2-22-2-2111111122-1-1-1-1-1-1-1-1-2200200-1-11120-210-1110000-1-1000000000
χ2922222-1-2-22-12-12-1002-1-222−i3−i3i3i3-1-1-1-2-2-211111111-222000-1−i3−i3i3i3-1-100−i3i311−i3−i3i3i3-2200-20011-1-100010-1−i3i30000−i3i3000000000
χ3022222-1-2-22-12-12-1002-1-222−i3−i3i3i3-1-1-1-2-2-211111111-2-2-2000-1−i3−i3i3i3-1-100−i3i311−i3−i3i3i32-200200-1-111000-101i3−i30000i3−i3000000000
χ3122222-1-2-22-12-12-1002-1-222i3i3−i3−i3-1-1-1-2-2-211111111-222000-1i3i3−i3−i3-1-100i3−i311i3i3−i3−i3-2200-20011-1-100010-1i3−i30000i3−i3000000000
χ3222222-1-2-22-12-12-1002-1-222i3i3−i3−i3-1-1-1-2-2-211111111-2-2-2000-1i3i3−i3−i3-1-100i3−i311i3i3−i3−i32-200200-1-111000-101−i3i30000−i3i3000000000
χ3322222-1-2-22-12-12-100-2-12-2-2−i3−i3i3i3-1-1-1-22211-1-1-1-1-1-1-2220001−i3−i3i3i31100i3−i311i3i3−i3−i3-2-200200-1-1-1-1000101i3−i30000−i3i3000000000
χ3422222-1-2-22-12-12-100-2-12-2-2−i3−i3i3i3-1-1-1-22211-1-1-1-1-1-1-2-2-20001−i3−i3i3i31100i3−i311i3i3−i3−i32200-2001111000-10-1−i3i30000i3−i3000000000
χ3522222-1-2-22-12-12-100-2-12-2-2i3i3−i3−i3-1-1-1-22211-1-1-1-1-1-1-2220001i3i3−i3−i31100−i3i311−i3−i3i3i3-2-200200-1-1-1-1000101−i3i30000i3−i3000000000
χ3622222-1-2-22-12-12-100-2-12-2-2i3i3−i3−i3-1-1-1-22211-1-1-1-1-1-1-2-2-20001i3i3−i3−i31100−i3i311−i3−i3i3i32200-2001111000-10-1i3−i30000−i3i3000000000
χ372222-1222-12-12-12222-12-1-12222-1-1-1-1-1-12222-1-1-1-1-1002-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-10022022000002002000-1-1-1-100-1-1-1-100000
χ382222-1222-12-12-12222-12-1-12222-1-1-1-1-1-12222-1-1-1-1-1002-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-20-2-200000-200-2000111100111100000
χ392222-1222-12-12-1222-2-1-2112222-1-1-1-11122-2-21111-100-2-1-1-2-1-1-1-11111-2-2-1-11111002202200000-200-2000-1-11100-1-11100000
χ402222-1222-12-12-1222-2-1-2112222-1-1-1-11122-2-21111-100-2-1-1-2-1-1-1-11111-2-2-1-1111100-2-20-2-200000200200011-1-10011-1-100000
χ412222-1222-12-12-12-2-22-12-1-1-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-100-21121111-1-111-2-2-1-1111100220-2-200000200-2000-1-1-1-100111100000
χ422222-1222-12-12-12-2-22-12-1-1-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-100-21121111-1-111-2-2-1-1111100-2-202200000-2002000111100-1-1-1-100000
χ432222-1222-12-12-12-2-2-2-1-211-2-2-2-2-1-1-1-11122-2-21111-100211-2111111-1-122-1-1-1-1-1-100220-2-200000-2002000-1-1110011-1-100000
χ442222-1222-12-12-12-2-2-2-1-211-2-2-2-2-1-1-1-11122-2-21111-100211-2111111-1-122-1-1-1-1-1-100-2-202200000200-200011-1-100-1-11100000
χ4522-2-2222-2-2-22-2-222-2020002-22-2-2-222002-2000000-20002-202-22-20000002-20000002i−2i02i−2i0000000000002i−2i00002i−2i0000000
χ4622-2-2222-2-2-22-2-222-2020002-22-2-2-222002-2000000-20002-202-22-20000002-2000000−2i2i0−2i2i000000000000−2i2i0000−2i2i0000000
χ4722-2-2222-2-2-22-2-22-2202000-22-22-2-222002-2000000-2000-220-22-220000002-20000002i−2i0−2i2i0000000000002i−2i0000−2i2i0000000
χ4822-2-2222-2-2-22-2-22-2202000-22-22-2-222002-2000000-2000-220-22-220000002-2000000−2i2i02i−2i000000000000−2i2i00002i−2i0000000
χ4922-2-2-122-21-2-1-2122-20-10−i3i32-22-211-1-1−i3i32-200−i3−i3i3i31000-110-11-11−i3i3−i3i300-11−i3i3−i3i3002i−2i02i−2i000000000000−ii3−300−ii3−300000
χ5022-2-2-122-21-2-1-2122-20-10−i3i32-22-211-1-1−i3i32-200−i3−i3i3i31000-110-11-11−i3i3−i3i300-11−i3i3−i3i300−2i2i0−2i2i000000000000i−i−3300i−i−3300000
χ5122-2-2-122-21-2-1-2122-20-10i3−i32-22-211-1-1i3−i32-200i3i3−i3−i31000-110-11-11i3−i3i3−i300-11i3−i3i3−i3002i−2i02i−2i000000000000−ii−3300−ii−3300000
χ5222-2-2-122-21-2-1-2122-20-10i3−i32-22-211-1-1i3−i32-200i3i3−i3−i31000-110-11-11i3−i3i3−i300-11i3−i3i3−i300−2i2i0−2i2i000000000000i−i3−300i−i3−300000
χ5322-2-2-122-21-2-1-212-220-10−i3i3-22-2211-1-1−i3i32-200−i3−i3i3i310001-101-11-1−i3i3i3−i300-11i3−i3i3−i3002i−2i0−2i2i000000000000−ii3−300i−i−3300000
χ5422-2-2-122-21-2-1-212-220-10−i3i3-22-2211-1-1−i3i32-200−i3−i3i3i310001-101-11-1−i3i3i3−i300-11i3−i3i3−i300−2i2i02i−2i000000000000i−i−3300−ii3−300000
χ5522-2-2-122-21-2-1-212-220-10i3−i3-22-2211-1-1i3−i32-200i3i3−i3−i310001-101-11-1i3−i3−i3i300-11−i3i3−i3i3002i−2i0−2i2i000000000000−ii−3300i−i3−300000
χ5622-2-2-122-21-2-1-212-220-10i3−i3-22-2211-1-1i3−i32-200i3i3−i3−i310001-101-11-1i3−i3−i3i300-11−i3i3−i3i300−2i2i02i−2i000000000000i−i3−300−ii−3300000
χ574444-24-4-4-24-24-24004-2-4-2-20000-2-2-2222-4-4-4-4222220000040000-2-200002200000000000000000000000000000000000000
χ584444-24-4-4-24-24-2400-4-24220000-2-2-22-2-2-4-444-2-2-2-2200000-400002200002200000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-244414-2-2-2-2-2-2111-2-2-2-2-2-2-21111-2004-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-244-41-422-2-2-2-2111-222-2-222-1-1-1-1-200-4-2-221111-1-1222211-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4-4414-2-22222111-2-2-2-2-2-2-21111-200-422-2-1-1-1-111222211-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-4-4-41-4222222111-222-2-222-1-1-1-1-2004222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20041-4-2-2−2i3−2i32i32i31112222222-1-1-1-1200000-2i3i3−i3−i31100−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20041-4-2-22i32i3−2i3−2i31112222222-1-1-1-1200000-2−i3−i3i3i311002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-200-41422−2i3−2i32i32i31112-2-222-2-211112000002i3i3−i3−i3-1-1002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-200-414222i32i3−2i3−2i31112-2-222-2-211112000002−i3−i3i3i3-1-100−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ6744-4-444-44-4-44-4-4400040000000-4-44-400-4400000040000000000000000-4400000000000000000000000000000000000000
χ6844-4-44-24-4-4242-4-24-40-2000-22-2222-2400-22000000-40004-40-22-22000000-2200000000000000000000000000000000000000
χ6944-4-44-24-4-4242-4-2-440-20002-22-222-2400-22000000-4000-4402-22-2000000-2200000000000000000000000000000000000000
χ7044-4-44-2-44-4242-4-2000-2000−2i32i32i3−2i322-2-4002-20000004000000−2i32i32i3−2i30000002-200000000000000000000000000000000000000
χ7144-4-44-2-44-4242-4-2000-20002i3−2i3−2i32i322-2-4002-200000040000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000
χ7244-4-4-24-442-4-2-424000-20−2i32i3000022-222i3−2i3-44002i32i3−2i3−2i3-20000000000−2i32i300002-200000000000000000000000000000000000000
χ7344-4-4-24-442-4-2-424000-202i3−2i3000022-22−2i32i3-4400−2i3−2i32i32i3-200000000002i3−2i300002-200000000000000000000000000000000000000
χ7444-4-4-2-24-422-222-24-4010−2i32i3-22-22-1-11-2−2i32i3-2200i3i3−i3−i32000-2201-11-1i3−i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000
χ7544-4-4-2-24-422-222-24-40102i3−2i3-22-22-1-11-22i3−2i3-2200−i3−i3i3i32000-2201-11-1−i3i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000000000
χ7644-4-4-2-24-422-222-2-44010−2i32i32-22-2-1-11-2−2i32i3-2200i3i3−i3−i320002-20-11-11i3−i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000000000
χ7744-4-4-2-24-422-222-2-440102i3−2i32-22-2-1-11-22i3−2i3-2200−i3−i3i3i320002-20-11-11−i3i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000
χ7844-4-4-2-2-4422-222-200010−2i32i3−2i32i32i3−2i3-1-1122i3−2i32-200−i3−i3i3i3-2000000i3−i3−i3i3i3−i30000-11-333-30000000000000000000000000000000000
χ7944-4-4-2-2-4422-222-200010−2i32i32i3−2i3−2i32i3-1-1122i3−2i32-200−i3−i3i3i3-2000000−i3i3i3−i3i3−i30000-113-3-330000000000000000000000000000000000
χ8044-4-4-2-2-4422-222-2000102i3−2i3−2i32i32i3−2i3-1-112−2i32i32-200i3i3−i3−i3-2000000i3−i3−i3i3−i3i30000-113-3-330000000000000000000000000000000000
χ8144-4-4-2-2-4422-222-2000102i3−2i32i3−2i3−2i32i3-1-112−2i32i32-200i3i3−i3−i3-2000000−i3i3i3−i3−i3i30000-11-333-30000000000000000000000000000000000
χ824-44-44400-44-4-44-4000400000004-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ834-44-44400-44-4-44-4000400000004-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ844-4-4444004-4-44-4-400040000000-44-40000000000004i−4i000000000000000000000000000004i−4i00000000000000000000000
χ854-4-4444004-4-44-4-400040000000-44-4000000000000−4i4i00000000000000000000000000000−4i4i00000000000000000000000
χ864-4-444-20042-4-2-42000-200000002-220000023−2323−2323−2304i−4i000000000000000000000000000−2i32i3−2i2i00000000000000000000000
χ874-4-444-20042-4-2-42000-200000002-220000023−2323−2323−230−4i4i0000000000000000000000000002i3−2i32i−2i00000000000000000000000
χ884-4-444-20042-4-2-42000-200000002-2200000−2323−2323−232304i−4i0000000000000000000000000002i3−2i3−2i2i00000000000000000000000
χ894-4-444-20042-4-2-42000-200000002-2200000−2323−2323−23230−4i4i000000000000000000000000000−2i32i32i−2i00000000000000000000000
χ908-88-88-400-8-4-8484000-40000000-44400000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4800484-8-4-8000-40000000-44400000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4004-444-44000200000002-2-200000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4004-444-44000200000002-2-20000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000
χ948-8-88-4800-4-8484-8000-400000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400-444-44400020000000-22-20000043−43−2323−2323000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400-444-44400020000000-22-200000−434323−2323−23000000000000000000000000000000000000000000000000000000000

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