Finite Group Databasebeta

← Group #11888612

Character table — Group #11888612

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order122233446666662236668812121212242424244412121212466661212121224242424242422444668812122424242466121212244681212121212122424446448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111-1-1111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-111-1-1-1-1-1-111-1-1-1-1111111-1111-1-1-1-11111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-1111-1-111-1-111-1-1-1-111-1-1-1-1111-1-1-11111-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-11-1-111-1-111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-111-111-1-111-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-11-1-1-1111-1-1-1-1111111-1-1
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-11111-1-11111-1-1-1-1-11-11-1-1-1-1-1-111-1-1-1-1111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-111-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1111-1-11
χ1311111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-11-111-1-1-1-1-1-1111-11-1
χ1411111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11-1111-1-11111-1-1-11-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-111111111-1-111111-11-1-1-111-1-1-1-1-1-111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-111-11-1-111111111-1-11-1
χ17222222-2-222222200222200-2-2-2-200002222220000000-2-2000000-22-200-2-200-2-20000000000002000000000-220000
χ18222222-2-222222200222200-2-2-2-200002222220000000-2-2000000-2-2200-2-20022000000000000-20000000002-20000
χ19222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-200000022-2002200-2-200000000000020000000002-20000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002-2200220022000000000000-2000000000-220000
χ2122222-122-12-122-122-1-1-1-1222-1-122222000000222-1-122-1-1-1-1-1-1-1-1022000000-1-10000-1-1-1-1-1202-120000-1-1-1-100-1000
χ2222222-122-12-122-122-1-1-1-1222-1-122222000000222-1-122-1-1-1-1-1-1-1-10-2-2000000110000-1-1-1-1-1-20-21-200001111001000
χ2322222-122-12-122-122-1-1-1-1-2-22-1-12-2-2-2-2000000-222-1-1-2-2-1-1111111022000000-1-10000-1-1111-202-1-20000-1-111001000
χ2422222-122-12-122-122-1-1-1-1-2-22-1-12-2-2-2-2000000-222-1-1-2-2-1-11111110-2-2000000110000-1-111120-212000011-1-100-1000
χ2522222-122-12-122-1-2-2-1-1-1-1222-1-122222000000-2-2-211-2-2-1-1-1-1-1-1-1-1022000000-1-1000011111-20-2-12000011-1-1001000
χ2622222-122-12-122-1-2-2-1-1-1-1222-1-122222000000-2-2-211-2-2-1-1-1-1-1-1-1-10-2-2000000110000111112021-20000-1-11100-1000
χ2722222-122-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-20000002-2-21122-1-1111111022000000-1-1000011-1-1-120-2-1-20000111100-1000
χ2822222-122-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-20000002-2-21122-1-11111110-2-200000011000011-1-1-1-202120000-1-1-1-1001000
χ292222-12222-12-1-1222-1-1-1-122-122-1-1-1-1-122-1-1-1-12-1-122-1-1-1-122-1-1-1-120022-1-12200-1-1-1-1-1-12-1-102000-1-1-1-10000000000
χ302222-12222-12-1-1222-1-1-1-122-122-1-1-1-1-1-2-211112-1-122-1-1-1-122-1-1-1-1-200-2-211-2-2001111-1-12-1-10-200011110000000000
χ312222-12222-12-1-1222-1-1-1-1-2-2-122-1111122-1-1-1-1-2-1-12211-1-1-2-21111200-2-2-1-1-2-2001111-1-1-2110200011-1-10000000000
χ322222-12222-12-1-1222-1-1-1-1-2-2-122-11111-2-21111-2-1-12211-1-1-2-21111-20022112200-1-1-1-1-1-1-2110-2000-1-1110000000000
χ332222-12222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-122-1-1-1-1-211-2-211-1-122-1-1-1-1200-2-2-1-12200-1-1-1-111-2110-200011110000000000
χ342222-12222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-1-2-21111-211-2-211-1-122-1-1-1-1-2002211-2-200111111-21102000-1-1-1-10000000000
χ352222-12222-12-1-12-2-2-1-1-1-1-2-2-122-1111122-1-1-1-1211-2-2-1-1-1-1-2-2111120022-1-1-2-2001111112-1-10-2000-1-1110000000000
χ362222-12222-12-1-12-2-2-1-1-1-1-2-2-122-11111-2-21111211-2-2-1-1-1-1-2-21111-200-2-2112200-1-1-1-1112-1-10200011-1-10000000000
χ3722-2-2222-2-2-2-2-2222-22-22-2002-22-2000000000002-22-2002-20000000002i−2i002i−2i002i2i−2i−2i2-2000000002i−2i000000000000
χ3822-2-2222-2-2-2-2-2222-22-22-2002-22-2000000000002-22-2002-2000000000−2i2i00−2i2i00−2i−2i2i2i2-200000000−2i2i000000000000
χ3922-2-2222-2-2-2-2-222-222-22-2002-22-200000000000-22-22002-20000000002i−2i00−2i2i00−2i−2i2i2i-22000000002i−2i000000000000
χ4022-2-2222-2-2-2-2-222-222-22-2002-22-200000000000-22-22002-2000000000−2i2i002i−2i002i2i−2i−2i-2200000000−2i2i000000000000
χ4122-2-2-122-2-21-21-122-2-11-1100-1-22133−3−300−i3−i3i3i30-112-23−3-110033−3−30002i−2i−i3i32i−2i00−i−iii-1103−300000−ii−i3i30000000000
χ4222-2-2-122-2-21-21-122-2-11-1100-1-22133−3−300i3i3−i3−i30-112-23−3-110033−3−3000−2i2ii3−i3−2i2i00ii−i−i-1103−300000i−ii3−i30000000000
χ4322-2-2-122-2-21-21-122-2-11-1100-1-221−3−33300−i3−i3i3i30-112-2−33-1100−3−333000−2i2i−i3i3−2i2i00ii−i−i-110−3300000i−i−i3i30000000000
χ4422-2-2-122-2-21-21-122-2-11-1100-1-221−3−33300i3i3−i3−i30-112-2−33-1100−3−3330002i−2ii3−i32i−2i00−i−iii-110−3300000−iii3−i30000000000
χ4522-2-2-122-2-21-21-12-22-11-1100-1-22133−3−300−i3−i3i3i301-1-22−33-110033−3−3000−2i2i−i3i32i−2i00−i−iii1-10−3300000i−ii3−i30000000000
χ4622-2-2-122-2-21-21-12-22-11-1100-1-22133−3−300i3i3−i3−i301-1-22−33-110033−3−30002i−2ii3−i3−2i2i00ii−i−i1-10−3300000−ii−i3i30000000000
χ4722-2-2-122-2-21-21-12-22-11-1100-1-221−3−33300−i3−i3i3i301-1-223−3-1100−3−3330002i−2i−i3i3−2i2i00ii−i−i1-103−300000−iii3−i30000000000
χ4822-2-2-122-2-21-21-12-22-11-1100-1-221−3−33300i3i3−i3−i301-1-223−3-1100−3−333000−2i2ii3−i32i−2i00−i−iii1-103−300000i−i−i3i30000000000
χ4944444-2-4-4-24-244-200-2-2-2-200-422-4000000000000000002200000004-400000022000000000000-2000000000000000
χ5044444-2-4-4-24-244-200-2-2-2-200-422-400000000000000000220000000-44000000-2-20000000000002000000000000000
χ514444-24-4-44-24-2-2400-2-2-2-2002-4-42000044-2-2-2-2000000022000000-400002200000000000000000000000000000000
χ524444-24-4-44-24-2-2400-2-2-2-2002-4-420000-4-4222200000002200000040000-2-200000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-2111100000000000000011-2110000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000-4-2-2-2-2221122-1-1-1-1000000000000000112-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000-422222211-2-21111000000000000000-1-12-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2222200000042222-2-21122-1-1-1-1000000000000000-1-1-2110000000000000000000
χ5744-4-444-44-4-4-4-444004-44-400-44-4400000000000000000-44000000000000000000000000000000000000000000000
χ5844-4-44-24-42-42-44-24-4-22-220042-2-4000000000004-4-2200-22000000000000000000000-220000000000000000000000
χ5944-4-44-24-42-42-44-2-44-22-220042-2-400000000000-442-200-220000000000000000000002-20000000000000000000000
χ6044-4-44-2-442-42-44-200-22-2200-4-224000000000000000002-200000000000000000000000000000000000−2i32i300000000
χ6144-4-44-2-442-42-44-200-22-2200-4-224000000000000000002-2000000000000000000000000000000000002i3−2i300000000
χ6244-4-4-24-44-42-42-2400-22-220024-4-2000000−2i3−2i32i32i300000002-2000000000002i3−2i300000000000000000000000000000000
χ6344-4-4-24-44-42-42-2400-22-220024-4-20000002i32i3−2i3−2i300000002-200000000000−2i32i300000000000000000000000000000000
χ6444-4-4-2-24-42222-2-24-41-11-100-22-222323−23−230000000-22-2223−231-100−3−3330000000000000001-10−330000000000000000000
χ6544-4-4-2-24-42222-2-24-41-11-100-22-22−23−2323230000000-22-22−23231-10033−3−30000000000000001-103−30000000000000000000
χ6644-4-4-2-24-42222-2-2-441-11-100-22-222323−23−2300000002-22-2−23231-100−3−333000000000000000-1103−30000000000000000000
χ6744-4-4-2-24-42222-2-2-441-11-100-22-22−23−23232300000002-22-223−231-10033−3−3000000000000000-110−330000000000000000000
χ684-44-44400-444-4-4-4004-4-4400000000004i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000
χ694-44-44400-444-4-4-4004-4-440000000000−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000
χ704-44-4-2400-4-2422-400-222-2000000i6−i6i6−i64i−4i−2i2i−2i2i00000000000i6−i6i6−i6000000000006−66−6000000000000000000000000
χ714-44-4-2400-4-2422-400-222-2000000i6−i6i6−i6−4i4i2i−2i2i−2i00000000000i6−i6i6−i600000000000−66−66000000000000000000000000
χ724-44-4-2400-4-2422-400-222-2000000−i6i6−i6i64i−4i−2i2i−2i2i00000000000−i6i6−i6i600000000000−66−66000000000000000000000000
χ734-44-4-2400-4-2422-400-222-2000000−i6i6−i6i6−4i4i2i−2i2i−2i00000000000−i6i6−i6i6000000000006−66−6000000000000000000000000
χ744-4-4444004-4-44-4-40044-4-4−2i22i20000−2i22i22i2−2i2000000000000000−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ754-4-4444004-4-44-4-40044-4-42i2−2i200002i2−2i2−2i22i20000000000000002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ764-4-444-200-2-424-4200-2-222−2i22i20000−2i22i22i2−2i2000000000000000i2−i2i2−i2−i2i200000000023−2300000000000000000000i6−i6000000
χ774-4-444-200-2-424-4200-2-222−2i22i20000−2i22i22i2−2i2000000000000000i2−i2i2−i2−i2i2000000000−232300000000000000000000−i6i6000000
χ784-4-444-200-2-424-4200-2-2222i2−2i200002i2−2i2−2i22i2000000000000000−i2i2−i2i2i2−i200000000023−2300000000000000000000−i6i6000000
χ794-4-444-200-2-424-4200-2-2222i2−2i200002i2−2i2−2i22i2000000000000000−i2i2−i2i2i2−i2000000000−232300000000000000000000i6−i6000000
χ804-4-44-240042-4-22-400-2-222−2i22i20000i2−i2−i2i20023−23−2323000000000−2i22i2i2−i2−i2i200000000000i6−i6−i6i6000000000000000000000000
χ814-4-44-240042-4-22-400-2-222−2i22i20000i2−i2−i2i200−232323−23000000000−2i22i2i2−i2−i2i200000000000−i6i6i6−i6000000000000000000000000
χ824-4-44-240042-4-22-400-2-2222i2−2i20000−i2i2i2−i20023−23−23230000000002i2−2i2−i2i2i2−i200000000000−i6i6i6−i6000000000000000000000000
χ834-4-44-240042-4-22-400-2-2222i2−2i20000−i2i2i2−i200−232323−230000000002i2−2i2−i2i2i2−i200000000000i6−i6−i6i6000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-4-884444-4-4002-22-2004-44-400000000000000000-22000000000000000000000000000000000000000000000
χ868-88-88-40048-4-8-8400-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-4-4444002-2-220000002i6−2i62i6−2i600000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ888-88-8-4-4004-4-4444002-2-22000000−2i62i6−2i62i600000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ898-8-88-4-400-444-4440022-2-2−4i24i200002i2−2i2−2i22i20000000000000002i2−2i2−i2i2i2−i2000000000000000000000000000000000000000
χ908-8-88-4-400-444-4440022-2-24i2−4i20000−2i22i22i2−2i2000000000000000−2i22i2i2−i2−i2i2000000000000000000000000000000000000000

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