Finite Group Databasebeta

← Group #11883980

Character table — Group #11883980

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order122233446666662236668812121212242424242266664666612121212242424242424444448812121212242424246612121222466812121212122424246248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1111-111-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-11-1-111-1-1-1-1-1-111111-111-1-11111-1-111-1-11-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-111-1-11-1-11111-1-1-1-111-1-1-11-1111-1111-1-1-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-111-1-1-111-1111-1-1-1-1-111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11111111-1-1111111-1-1-1-1-11-1-1-111111-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1-1-11-1-1-11-1-1-111111111-1-1
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111-11-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-111-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1111-1-11
χ1311111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1111-11-1-1-1-11-1-111-1-1111-11-1
χ1411111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-11-1111111-1-1-11-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-1-111111-1-11111-1-111111-111-11-1-1-1-1-1-1-1-111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-11111-111-1-11111-1-11-1
χ17222222-2-222222200222200-2-2-2-200002222220000000-2-20000002-200-200-2-2-2-20000000000000002000000-220000
χ18222222-2-222222200222200-2-2-2-200002222220000000-2-2000000-2-20020022-2-2000000000000000-20000002-20000
χ19222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002200-200-2-22200000000000000020000002-20000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000-22002002222000000000000000-2000000-220000
χ2122222-122-1-1222-122-1-1-1-1222-12-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-122-1-1-1-1022202200-1-1-1-1-1-1-1-12-1-1200-1-10000-1-100000000
χ2222222-122-1-1222-122-1-1-1-1222-12-1-1-1-1-1-2-21111222-1-1-1-1-1-122-1-1-1-10-2-2-20-2-200111111-1-12-1-1-2001100001100000000
χ2322222-122-1-1222-122-1-1-1-1-2-22-12-1111122-1-1-1-1-222-1-111-1-1-2-2111102-2-20-2-200-1-11111-1-1-211200-1-100001100000000
χ2422222-122-1-1222-122-1-1-1-1-2-22-12-11111-2-21111-222-1-111-1-1-2-211110-2220220011-1-1-1-1-1-1-211-200110000-1-100000000
χ2522222-122-1-1222-1-2-2-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-2-2-21111-1-122-1-1-1-102-2-202200-1-1-1-1-1-111-211-2001100001100000000
χ2622222-122-1-1222-1-2-2-1-1-1-1222-12-1-1-1-1-1-2-21111-2-2-21111-1-122-1-1-1-10-2220-2-20011111111-211200-1-10000-1-100000000
χ2722222-122-1-1222-1-2-2-1-1-1-1-2-22-12-1111122-1-1-1-12-2-211-1-1-1-1-2-2111102220-2-200-1-11111112-1-1-200110000-1-100000000
χ2822222-122-1-1222-1-2-2-1-1-1-1-2-22-12-11111-2-211112-2-211-1-1-1-1-2-211110-2-2-20220011-1-1-1-1112-1-1200-1-100001100000000
χ292222-122222-1-1-1222-1-1-1-122-12-1222220000002-1-12222-1-1-1-1-1-1-1-12000200-1-1000000-1-1-1-1-1022002-1-1-100-1-100-1000
χ302222-122222-1-1-1222-1-1-1-122-12-1222220000002-1-12222-1-1-1-1-1-1-1-1-2000-20011000000-1-1-1-1-10-2-200-21110011001000
χ312222-122222-1-1-1222-1-1-1-1-2-2-12-12-2-2-2-2000000-2-1-122-2-2-1-11111112000200-1-1000000-1-11110-2200-2-1-1-10011001000
χ322222-122222-1-1-1222-1-1-1-1-2-2-12-12-2-2-2-2000000-2-1-122-2-2-1-1111111-2000-20011000000-1-111102-200211100-1-100-1000
χ332222-122222-1-1-12-2-2-1-1-1-122-12-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-12000200-1-1000000111110-2-2002-11100-1-1001000
χ342222-122222-1-1-12-2-2-1-1-1-122-12-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2000-200110000001111102200-21-1-1001100-1000
χ352222-122222-1-1-12-2-2-1-1-1-1-2-2-12-12-2-2-2-2000000211-2-222-1-11111112000200-1-100000011-1-1-102-200-2-111001100-1000
χ362222-122222-1-1-12-2-2-1-1-1-1-2-2-12-12-2-2-2-2000000211-2-222-1-1111111-2000-2001100000011-1-1-10-220021-1-100-1-1001000
χ372-22-2222-2-2-22-2-222-22-2-2200-2-222000000000002-22-200-22000000002-202-2000022-2-22-20000000000002-200000000
χ382-22-2222-2-2-22-2-222-22-2-2200-2-222000000000002-22-200-2200000000-220-220000-2-2222-2000000000000-2200000000
χ392-22-2222-2-2-22-2-22-222-2-2200-2-22200000000000-22-2200-22000000002-20-220000-2-222-220000000000002-200000000
χ402-22-2222-2-2-22-2-22-222-2-2200-2-22200000000000-22-2200-2200000000-2202-2000022-2-2-22000000000000-2200000000
χ412-22-22-12-2112-2-2-12-2-111-100-212-1−i3−i3i3i300−i3−i3i3i302-2-11−i3i31-100−i3−i3i3i3002-202-200−i3i3-1-111-110−i3i3000−i3i30000-1100000000
χ422-22-22-12-2112-2-2-12-2-111-100-212-1−i3−i3i3i300i3i3−i3−i302-2-11−i3i31-100−i3−i3i3i300-220-2200i3−i311-1-1-110−i3i3000i3−i300001-100000000
χ432-22-22-12-2112-2-2-12-2-111-100-212-1i3i3−i3−i300−i3−i3i3i302-2-11i3−i31-100i3i3−i3−i300-220-2200−i3i311-1-1-110i3−i3000−i3i300001-100000000
χ442-22-22-12-2112-2-2-12-2-111-100-212-1i3i3−i3−i300i3i3−i3−i302-2-11i3−i31-100i3i3−i3−i3002-202-200i3−i3-1-111-110i3−i3000i3−i30000-1100000000
χ452-22-22-12-2112-2-2-1-22-111-100-212-1−i3−i3i3i300−i3−i3i3i30-221-1i3−i31-100−i3−i3i3i300-2202-200−i3i3-1-1111-10i3−i3000i3−i300001-100000000
χ462-22-22-12-2112-2-2-1-22-111-100-212-1−i3−i3i3i300i3i3−i3−i30-221-1i3−i31-100−i3−i3i3i3002-20-2200i3−i311-1-11-10i3−i3000−i3i30000-1100000000
χ472-22-22-12-2112-2-2-1-22-111-100-212-1i3i3−i3−i300−i3−i3i3i30-221-1−i3i31-100i3i3−i3−i3002-20-2200−i3i311-1-11-10−i3i3000i3−i30000-1100000000
χ482-22-22-12-2112-2-2-1-22-111-100-212-1i3i3−i3−i300i3i3−i3−i30-221-1−i3i31-100i3i3−i3−i300-2202-200i3−i3-1-1111-10−i3i3000−i3i300001-100000000
χ4944444-2-4-4-2-2444-200-2-2-2-200-42-42000044-2-2-2-20000000220000000-40000000220000000000000000000000000000
χ5044444-2-4-4-2-2444-200-2-2-2-200-42-420000-4-42222000000022000000040000000-2-20000000000000000000000000000
χ514444-24-4-444-2-2-2400-2-2-2-2002-42-400000000000000000220000004000-4002200000000000000000-2000000000000
χ524444-24-4-444-2-2-2400-2-2-2-2002-42-40000000000000000022000000-4000400-2-2000000000000000002000000000000
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
χ5744-4-444004-4-44-4-40044-4-4−2i22i20000−2i22i2−2i22i2000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000
χ5844-4-444004-4-44-4-40044-4-42i2−2i200002i2−2i22i2−2i20000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000
χ5944-4-44-200-22-44-4200-2-222−2i22i20000i2−i2i2−i200−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i2000000000006−66−6000000000000000000000000
χ6044-4-44-200-22-44-4200-2-222−2i22i20000i2−i2i2−i2002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i200000000000−66−66000000000000000000000000
χ6144-4-44-200-22-44-4200-2-2222i2−2i20000−i2i2−i2i200−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i200000000000−66−66000000000000000000000000
χ6244-4-44-200-22-44-4200-2-2222i2−2i20000−i2i2−i2i2002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i2000000000006−66−6000000000000000000000000
χ6344-4-4-24004-42-22-400-2-222−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i2000000023−230000000000000000000000i6−i6000000
χ6444-4-4-24004-42-22-400-2-222−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i20000000−23230000000000000000000000−i6i6000000
χ6544-4-4-24004-42-22-400-2-2222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i2000000023−230000000000000000000000−i6i6000000
χ6644-4-4-24004-42-22-400-2-2222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i20000000−23230000000000000000000000i6−i6000000
χ674-44-444-44-4-44-4-44004-4-440044-4-4000000000000000004-4000000000000000000000000000000000000000000000
χ684-44-44-2-44224-4-4-200-222-2004-2-42000000−2i3−2i32i32i30000000-220000000000000002i3−2i30000000000000000000000000000
χ694-44-44-2-44224-4-4-200-222-2004-2-420000002i32i3−2i3−2i30000000-22000000000000000−2i32i30000000000000000000000000000
χ704-44-4-244-4-4-4-22244-4-222-2002-4-2400000000000-224-4002-2000000000000000000000-220000000000000000000000
χ714-44-4-244-4-4-4-2224-44-222-2002-4-24000000000002-2-44002-20000000000000000000002-20000000000000000000000
χ724-44-4-24-44-4-4-222400-222-200-242-400000000000000000-2200000000000000000000000000000000023−230000000000
χ734-44-4-24-44-4-4-222400-222-200-242-400000000000000000-22000000000000000000000000000000000−23230000000000
χ744-44-4-2-24-422-222-24-41-1-110022-2-2−2i3−2i32i32i30000000-22-22−2i32i3-1100i3i3−i3−i30000000000000001-10i3−i30000000000000000000
χ754-44-4-2-24-422-222-24-41-1-110022-2-22i32i3−2i3−2i30000000-22-222i3−2i3-1100−i3−i3i3i30000000000000001-10−i3i30000000000000000000
χ764-44-4-2-24-422-222-2-441-1-110022-2-2−2i3−2i32i32i300000002-22-22i3−2i3-1100i3i3−i3−i3000000000000000-110−i3i30000000000000000000
χ774-44-4-2-24-422-222-2-441-1-110022-2-22i32i3−2i3−2i300000002-22-2−2i32i3-1100−i3−i3i3i3000000000000000-110i3−i30000000000000000000
χ784-4-444400-44-4-44-4004-44-400000000004-44-4-44000000000000000000000000000000000000000000000000000000
χ794-4-444400-44-4-44-4004-44-40000000000-44-444-4000000000000000000000000000000000000000000000000000000
χ804-4-444-2002-2-4-44200-22-220000006−6−664-4-222-2000000000006−6−6600000000000−666−6000000000000000000000000
χ814-4-444-2002-2-4-44200-22-220000006−6−66-442-2-22000000000006−6−66000000000006−6−66000000000000000000000000
χ824-4-444-2002-2-4-44200-22-22000000−666−64-4-222-200000000000−666−6000000000006−6−66000000000000000000000000
χ834-4-444-2002-2-4-44200-22-22000000−666−6-442-2-2200000000000−666−600000000000−666−6000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-444-4440022-2-2−4i24i200002i2−2i22i2−2i20000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ8688-8-8-4-400-444-4440022-2-24i2−4i20000−2i22i2−2i22i2000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ878-88-8-4-4-8844-444-4002-2-2200-4-444000000000000000002-2000000000000000000000000000000000000000000000
χ888-8-88-4800-8844-4-800-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004-444-44002-22-200000026−26−262600000000000000000−666−6000000000000000000000000000000000000000
χ908-8-88-4-4004-444-44002-22-2000000−262626−26000000000000000006−6−66000000000000000000000000000000000000000

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