Finite Group Databasebeta

← Group #11884137

Character table — Group #11884137

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order122233446666662236668812121212242424242266664666612121212242424242424244448812121212242424246612121224466681212121224244412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1111-11111-1-11111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-11-1-1-1-111-1-1-1-111111-1111-1-11-1-11111-1-11-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-111-1-11-1-11111-1-1-1-111-1-1-11-11111-1-1-111-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-1111-1-1-1-111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-111111-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1-1-11-1-1-1-1111-1-1111111-1-1
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-11
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111-11-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-111-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-11111-1-1111-1-11
χ1311111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1111-11-11-1-1-111-1-1-1-1111-11-1
χ1411111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-11111111-1-1-11-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-1-1111-1-1111111-1-111111-1111-1-1-1-1-1-1-1-1-111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-11-1111-1-1111111-1-11-1
χ17222222-2-222222200222200-2-2-2-200002222220000000-2-20000002-200-200-2-2-2-200000000000020000000002-20000
χ18222222-2-222222200222200-2-2-2-200002222220000000-2-2000000-2-200200-2-222000000000000-2000000000-220000
χ19222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002200-20022-2-20000000000002000000000-220000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000-22002002222000000000000-20000000002-20000
χ2122222-1222-1-122-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-122-1-1-1-10222022-1-100-1-1-1-1-1-12-1-12000-1-10-1-10000000000
χ2222222-1222-1-122-122-1-1-1-122-122-1-1-1-1-1-2-21111222-1-1-1-1-1-122-1-1-1-10-2-2-20-2-211001111-1-12-1-1-2000110110000000000
χ2322222-1222-1-122-122-1-1-1-1-2-2-122-1111122-1-1-1-1-222-1-111-1-1-2-2111102-2-20-2-2-1-1001111-1-1-2112000-1-10110000000000
χ2422222-1222-1-122-122-1-1-1-1-2-2-122-11111-2-21111-222-1-111-1-1-2-211110-2220221100-1-1-1-1-1-1-211-2000110-1-10000000000
χ2522222-1222-1-122-1-2-2-1-1-1-122-122-1-1-1-1-122-1-1-1-1-2-2-21111-1-122-1-1-1-102-2-2022-1-100-1-1-1-111-211-2000110110000000000
χ2622222-1222-1-122-1-2-2-1-1-1-122-122-1-1-1-1-1-2-21111-2-2-21111-1-122-1-1-1-10-2220-2-21100111111-2112000-1-10-1-10000000000
χ2722222-1222-1-122-1-2-2-1-1-1-1-2-2-122-1111122-1-1-1-12-2-211-1-1-1-1-2-2111102220-2-2-1-1001111112-1-1-2000110-1-10000000000
χ2822222-1222-1-122-1-2-2-1-1-1-1-2-2-122-11111-2-211112-2-211-1-1-1-1-2-211110-2-2-20221100-1-1-1-1112-1-12000-1-10110000000000
χ292222-1222-122-1-1222-1-1-1-1222-1-1222220000002-1-12222-1-1-1-1-1-1-1-1200020000-1-10000-1-1-1-1-1022-100200-1-1-1-100-1000
χ302222-1222-122-1-1222-1-1-1-1222-1-1222220000002-1-12222-1-1-1-1-1-1-1-1-2000-20000110000-1-1-1-1-10-2-2100-2001111001000
χ312222-1222-122-1-1222-1-1-1-1-2-22-1-12-2-2-2-2000000-2-1-122-2-2-1-1111111200020000-1-10000-1-11110-22-100-200-1-111001000
χ322222-1222-122-1-1222-1-1-1-1-2-22-1-12-2-2-2-2000000-2-1-122-2-2-1-1111111-2000-20000110000-1-111102-210020011-1-100-1000
χ332222-1222-122-1-12-2-2-1-1-1-1222-1-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-1200020000-1-10000111110-2-2-10020011-1-1001000
χ342222-1222-122-1-12-2-2-1-1-1-1222-1-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2000-2000011000011111022100-200-1-11100-1000
χ352222-1222-122-1-12-2-2-1-1-1-1-2-22-1-12-2-2-2-2000000211-2-222-1-1111111200020000-1-1000011-1-1-102-2-100-200111100-1000
χ362222-1222-122-1-12-2-2-1-1-1-1-2-22-1-12-2-2-2-2000000211-2-222-1-1111111-2000-2000011000011-1-1-10-22100200-1-1-1-1001000
χ372-2-2222-22-2-2-2-2222-22-2-2200-22-22000000000002-22-200-22000000002-202-2000022-2-22-200000000002-20000000000
χ382-2-2222-22-2-2-2-2222-22-2-2200-22-22000000000002-22-200-2200000000-220-220000-2-2222-20000000000-220000000000
χ392-2-2222-22-2-2-2-222-222-2-2200-22-2200000000000-22-2200-22000000002-20-220000-2-222-2200000000002-20000000000
χ402-2-2222-22-2-2-2-222-222-2-2200-22-2200000000000-22-2200-2200000000-2202-2000022-2-2-220000000000-220000000000
χ412-2-222-1-22-211-22-12-2-111-10012-2-1−i3−i3i3i300−i3−i3i3i302-2-11−i3i31-100−i3−i3i3i3002-202-2−i3i300-1-111-110−i3i30000−i3i30-110000000000
χ422-2-222-1-22-211-22-12-2-111-10012-2-1−i3−i3i3i300i3i3−i3−i302-2-11−i3i31-100−i3−i3i3i300-220-22i3−i30011-1-1-110−i3i30000i3−i301-10000000000
χ432-2-222-1-22-211-22-12-2-111-10012-2-1i3i3−i3−i300−i3−i3i3i302-2-11i3−i31-100i3i3−i3−i300-220-22−i3i30011-1-1-110i3−i30000−i3i301-10000000000
χ442-2-222-1-22-211-22-12-2-111-10012-2-1i3i3−i3−i300i3i3−i3−i302-2-11i3−i31-100i3i3−i3−i3002-202-2i3−i300-1-111-110i3−i30000i3−i30-110000000000
χ452-2-222-1-22-211-22-1-22-111-10012-2-1−i3−i3i3i300−i3−i3i3i30-221-1i3−i31-100−i3−i3i3i300-2202-2−i3i300-1-1111-10i3−i30000i3−i301-10000000000
χ462-2-222-1-22-211-22-1-22-111-10012-2-1−i3−i3i3i300i3i3−i3−i30-221-1i3−i31-100−i3−i3i3i3002-20-22i3−i30011-1-11-10i3−i30000−i3i30-110000000000
χ472-2-222-1-22-211-22-1-22-111-10012-2-1i3i3−i3−i300−i3−i3i3i30-221-1−i3i31-100i3i3−i3−i3002-20-22−i3i30011-1-11-10−i3i30000i3−i30-110000000000
χ482-2-222-1-22-211-22-1-22-111-10012-2-1i3i3−i3−i300i3i3−i3−i30-221-1−i3i31-100i3i3−i3−i300-2202-2i3−i300-1-1111-10−i3i30000−i3i301-10000000000
χ4944444-2-4-44-2-244-200-2-2-2-2002-4-42000044-2-2-2-20000000220000000-40000022000000000000000000000000000000
χ5044444-2-4-44-2-244-200-2-2-2-2002-4-420000-4-422220000000220000000400000-2-2000000000000000000000000000000
χ514444-24-4-4-244-2-2400-2-2-2-200-422-400000000000000000220000004000-4000022000000000000-2000000000000000
χ524444-24-4-4-244-2-2400-2-2-2-200-422-40000000000000000022000000-400040000-2-20000000000002000000000000000
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
χ5744-4-4440044-4-4-4-40044-4-400000000004-44-44-4000000000000000000000000000000000000000000000000000000
χ5844-4-4440044-4-4-4-40044-4-40000000000-44-44-44000000000000000000000000000000000000000000000000000000
χ5944-4-44-2004-22-4-4200-2-2220000006−66−64-4-22-22000000000006−66−6000000000006−66−6000000000000000000000000
χ6044-4-44-2004-22-4-4200-2-2220000006−66−6-442-22-2000000000006−66−600000000000−66−66000000000000000000000000
χ6144-4-44-2004-22-4-4200-2-222000000−66−664-4-22-2200000000000−66−6600000000000−66−66000000000000000000000000
χ6244-4-44-2004-22-4-4200-2-222000000−66−66-442-22-200000000000−66−66000000000006−66−6000000000000000000000000
χ634-44-44400-4-444-4-4004-44-4−2i22i20000−2i22i22i2−2i2000000000000000−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ644-44-44400-4-444-4-4004-44-42i2−2i200002i2−2i2−2i22i20000000000000002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ654-44-44-200-42-24-4200-22-22−2i22i20000i2−i2−i2i200−2i32i32i3−2i3000000000−2i22i2i2−i2−i2i200000000000−666−6000000000000000000000000
χ664-44-44-200-42-24-4200-22-22−2i22i20000i2−i2−i2i2002i3−2i3−2i32i3000000000−2i22i2i2−i2−i2i2000000000006−6−66000000000000000000000000
χ674-44-44-200-42-24-4200-22-222i2−2i20000−i2i2i2−i200−2i32i32i3−2i30000000002i2−2i2−i2i2i2−i2000000000006−6−66000000000000000000000000
χ684-44-44-200-42-24-4200-22-222i2−2i20000−i2i2i2−i2002i3−2i3−2i32i30000000002i2−2i2−i2i2i2−i200000000000−666−6000000000000000000000000
χ694-44-4-24002-44-22-400-22-22−2i22i20000−2i22i22i2−2i2000000000000000i2−i2i2−i2−i2i200000000023−2300000000000000000000i6−i6000000
χ704-44-4-24002-44-22-400-22-22−2i22i20000−2i22i22i2−2i2000000000000000i2−i2i2−i2−i2i2000000000−232300000000000000000000−i6i6000000
χ714-44-4-24002-44-22-400-22-222i2−2i200002i2−2i2−2i22i2000000000000000−i2i2−i2i2i2−i200000000023−2300000000000000000000−i6i6000000
χ724-44-4-24002-44-22-400-22-222i2−2i200002i2−2i2−2i22i2000000000000000−i2i2−i2i2i2−i2000000000−232300000000000000000000i6−i6000000
χ734-4-44444-4-4-4-4-444004-4-44004-44-4000000000000000004-4000000000000000000000000000000000000000000000
χ744-4-444-24-4-422-44-200-222-200-2-442000000−2i3−2i32i32i30000000-2200000000000002i3−2i3000000000000000000000000000000
χ754-4-444-24-4-422-44-200-222-200-2-4420000002i32i3−2i3−2i30000000-220000000000000−2i32i3000000000000000000000000000000
χ764-4-44-244-42-4-42-2400-222-20042-2-400000000000000000-2200000000000000000000000000000000000−2i32i300000000
χ774-4-44-244-42-4-42-2400-222-20042-2-400000000000000000-22000000000000000000000000000000000002i3−2i300000000
χ784-4-44-24-442-4-42-244-4-222-200-4-22400000000000-224-4002-2000000000000000000000-220000000000000000000000
χ794-4-44-24-442-4-42-24-44-222-200-4-224000000000002-2-44002-20000000000000000000002-20000000000000000000000
χ804-4-44-2-2-442222-2-24-41-1-11002-22-2−2i3−2i32i32i30000000-22-22−2i32i3-1100i3i3−i3−i30000000000000001-10i3−i30000000000000000000
χ814-4-44-2-2-442222-2-24-41-1-11002-22-22i32i3−2i3−2i30000000-22-222i3−2i3-1100−i3−i3i3i30000000000000001-10−i3i30000000000000000000
χ824-4-44-2-2-442222-2-2-441-1-11002-22-2−2i3−2i32i32i300000002-22-22i3−2i3-1100i3i3−i3−i3000000000000000-110−i3i30000000000000000000
χ834-4-44-2-2-442222-2-2-441-1-11002-22-22i32i3−2i3−2i300000002-22-2−2i32i3-1100−i3−i3i3i3000000000000000-110i3−i30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4800-48-844-800-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4-444440022-2-200000026−2626−2600000000000000000−66−66000000000000000000000000000000000000000
χ8788-8-8-4-400-4-444440022-2-2000000−2626−2626000000000000000006−66−6000000000000000000000000000000000000000
χ888-88-8-4-40044-4-444002-22-2−4i24i200002i2−2i2−2i22i20000000000000002i2−2i2−i2i2i2−i2000000000000000000000000000000000000000
χ898-88-8-4-40044-4-444002-22-24i2−4i20000−2i22i22i2−2i2000000000000000−2i22i2i2−i2−i2i2000000000000000000000000000000000000000
χ908-8-88-4-48-84444-4-4002-2-2200-44-44000000000000000002-2000000000000000000000000000000000000000000000

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