Finite Group Databasebeta

← Group #11884325

Character table — Group #11884325

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order12223344666666223666881212121224242424441212121246666121212122424242424242224466881212242424246612121224466812121212122424246448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-1111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-111-1-1-1-11111111-1-1-11111-1-111-1-11-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-111111-1-111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11-1-11-1-1-11111-1-111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11-111-1111-1-1-1-1-1-1-11-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-11-1-1111-1-1-1-1-111111-11-1
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1111-1-11
χ1311111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-111-11-1-1-1-1-1-11111-1-1
χ1411111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-11-1111-111-1-111-1-1-1-111
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111111-1-11111-11-1-1-11-1-111-1-1-1-11-111
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-111-1-11-111111111-11-1-1
χ17222222-2-222222200222200-2-2-2-200002222220000000-2-2000000-2002-2-2-20022000000000000000-2000000-220000
χ18222222-2-222222200222200-2-2-2-200002222220000000-2-2000000-200-22-2-200-2-200000000000000020000002-20000
χ19222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002002-2220022000000000000000-20000002-20000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000200-222200-2-20000000000000002000000-220000
χ2122222-122-1-1222-122-1-1-1-1222-12-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-122-1-1-1-122200-1-12200-1-1-1-1-1-12-1-1002-1-10000-1-100000000
χ2222222-122-1-1222-122-1-1-1-1222-12-1-1-1-1-1-2-21111222-1-1-1-1-1-122-1-1-1-1-2-2-20011-2-2001111-1-12-1-100-21100001100000000
χ2322222-122-1-1222-122-1-1-1-1-2-22-12-1111122-1-1-1-1-222-1-111-1-1-2-211112-2-200-1-1-2-2001111-1-1-211002110000-1-100000000
χ2422222-122-1-1222-122-1-1-1-1-2-22-12-11111-2-21111-222-1-111-1-1-2-21111-22200112200-1-1-1-1-1-1-21100-2-1-100001100000000
χ2522222-122-1-1222-1-2-2-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-2-2-21111-1-122-1-1-1-12-2-200-1-12200-1-1-1-111-21100-21100001100000000
χ2622222-122-1-1222-1-2-2-1-1-1-1222-12-1-1-1-1-1-2-21111-2-2-21111-1-122-1-1-1-1-2220011-2-200111111-211002-1-10000-1-100000000
χ2722222-122-1-1222-1-2-2-1-1-1-1-2-22-12-1111122-1-1-1-12-2-211-1-1-1-1-2-2111122200-1-1-2-2001111112-1-100-2-1-100001100000000
χ2822222-122-1-1222-1-2-2-1-1-1-1-2-22-12-11111-2-211112-2-211-1-1-1-1-2-21111-2-2-200112200-1-1-1-1112-1-1002110000-1-100000000
χ292222-122222-1-1-1222-1-1-1-122-12-1222220000002-1-12222-1-1-1-1-1-1-1-1000220000-1-10000-1-1-1-1-1220002-1-1-100-1-100-1000
χ302222-122222-1-1-1222-1-1-1-122-12-1222220000002-1-12222-1-1-1-1-1-1-1-1000-2-20000110000-1-1-1-1-1-2-2000-21110011001000
χ312222-122222-1-1-1222-1-1-1-1-2-2-12-12-2-2-2-2000000-2-1-122-2-2-1-1111111000220000-1-10000-1-1111-22000-2-1-1-10011001000
χ322222-122222-1-1-1222-1-1-1-1-2-2-12-12-2-2-2-2000000-2-1-122-2-2-1-1111111000-2-20000110000-1-11112-2000211100-1-100-1000
χ332222-122222-1-1-12-2-2-1-1-1-122-12-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-1000220000-1-1000011111-2-20002-11100-1-1001000
χ342222-122222-1-1-12-2-2-1-1-1-122-12-122222000000-211-2-2-2-2-1-1-1-1-1-1-1-1000-2-200001100001111122000-21-1-1001100-1000
χ352222-122222-1-1-12-2-2-1-1-1-1-2-2-12-12-2-2-2-2000000211-2-222-1-1111111000220000-1-1000011-1-1-12-2000-2-111001100-1000
χ362222-122222-1-1-12-2-2-1-1-1-1-2-2-12-12-2-2-2-2000000211-2-222-1-1111111000-2-2000011000011-1-1-1-2200021-1-100-1-1001000
χ372-2-22222-2-2-22-2-222-22-2-2200-2-222000000000002-22-200-2200000002-200002-20022-2-22-20000002-200000000000000
χ382-2-22222-2-2-22-2-222-22-2-2200-2-222000000000002-22-200-220000000-220000-2200-2-2222-2000000-2200000000000000
χ392-2-22222-2-2-22-2-22-222-2-2200-2-22200000000000-22-2200-2200000002-20000-2200-2-222-220000002-200000000000000
χ402-2-22222-2-2-22-2-22-222-2-2200-2-22200000000000-22-2200-220000000-2200002-20022-2-2-22000000-2200000000000000
χ412-2-222-12-2112-2-2-12-2-111-100-212-1−i3−i3i3i300−i3−i3i3i302-2-11−i3i31-100−i3−i3i3i302-200−i3i32-200-1-111-110−i3i3000-110000−i3i300000000
χ422-2-222-12-2112-2-2-12-2-111-100-212-1−i3−i3i3i300i3i3−i3−i302-2-11−i3i31-100−i3−i3i3i30-2200i3−i3-220011-1-1-110−i3i30001-10000i3−i300000000
χ432-2-222-12-2112-2-2-12-2-111-100-212-1i3i3−i3−i300−i3−i3i3i302-2-11i3−i31-100i3i3−i3−i30-2200−i3i3-220011-1-1-110i3−i30001-10000−i3i300000000
χ442-2-222-12-2112-2-2-12-2-111-100-212-1i3i3−i3−i300i3i3−i3−i302-2-11i3−i31-100i3i3−i3−i302-200i3−i32-200-1-111-110i3−i3000-110000i3−i300000000
χ452-2-222-12-2112-2-2-1-22-111-100-212-1−i3−i3i3i300−i3−i3i3i30-221-1i3−i31-100−i3−i3i3i30-2200−i3i32-200-1-1111-10i3−i30001-10000i3−i300000000
χ462-2-222-12-2112-2-2-1-22-111-100-212-1−i3−i3i3i300i3i3−i3−i30-221-1i3−i31-100−i3−i3i3i302-200i3−i3-220011-1-11-10i3−i3000-110000−i3i300000000
χ472-2-222-12-2112-2-2-1-22-111-100-212-1i3i3−i3−i300−i3−i3i3i30-221-1−i3i31-100i3i3−i3−i302-200−i3i3-220011-1-11-10−i3i3000-110000i3−i300000000
χ482-2-222-12-2112-2-2-1-22-111-100-212-1i3i3−i3−i300i3i3−i3−i30-221-1−i3i31-100i3i3−i3−i30-2200i3−i32-200-1-1111-10−i3i30001-10000−i3i300000000
χ4944444-2-4-4-2-2444-200-2-2-2-200-42-42000044-2-2-2-2000000022000000-400002200000000000000000000000000000000
χ5044444-2-4-4-2-2444-200-2-2-2-200-42-420000-4-4222200000002200000040000-2-200000000000000000000000000000000
χ514444-24-4-444-2-2-2400-2-2-2-2002-42-400000000000000000220000000004-40000-2-20000000000000002000000000000
χ524444-24-4-444-2-2-2400-2-2-2-2002-42-40000000000000000022000000000-44000022000000000000000-2000000000000
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
χ5744-4-444004-4-4-44-40044-4-400000000004i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000
χ5844-4-444004-4-4-44-40044-4-40000000000−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000
χ5944-4-44-200-22-4-44200-2-2220000006−66−64i−4i−2i2i−2i2i000000000006−66−600000000000i6−i6i6−i6000000000000000000000000
χ6044-4-44-200-22-4-44200-2-2220000006−66−6−4i4i2i−2i2i−2i000000000006−66−600000000000−i6i6−i6i6000000000000000000000000
χ6144-4-44-200-22-4-44200-2-222000000−66−664i−4i−2i2i−2i2i00000000000−66−6600000000000−i6i6−i6i6000000000000000000000000
χ6244-4-44-200-22-4-44200-2-222000000−66−66−4i4i2i−2i2i−2i00000000000−66−6600000000000i6−i6i6−i6000000000000000000000000
χ634-44-44400-44-44-4-4004-44-4−2i22i20000−2i22i22i2−2i2000000000000000−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ644-44-44400-44-44-4-4004-44-42i2−2i200002i2−2i2−2i22i20000000000000002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ654-44-44-2002-2-44-4200-22-22−2i22i20000i2−i2−i2i20023−23−2323000000000−2i22i2i2−i2−i2i200000000000−i6i6i6−i6000000000000000000000000
χ664-44-44-2002-2-44-4200-22-22−2i22i20000i2−i2−i2i200−232323−23000000000−2i22i2i2−i2−i2i200000000000i6−i6−i6i6000000000000000000000000
χ674-44-44-2002-2-44-4200-22-222i2−2i20000−i2i2i2−i20023−23−23230000000002i2−2i2−i2i2i2−i200000000000i6−i6−i6i6000000000000000000000000
χ684-44-44-2002-2-44-4200-22-222i2−2i20000−i2i2i2−i200−232323−230000000002i2−2i2−i2i2i2−i200000000000−i6i6i6−i6000000000000000000000000
χ694-44-4-2400-442-22-400-22-22−2i22i20000−2i22i22i2−2i2000000000000000i2−i2i2−i2−i2i200000000023−2300000000000000000000i6−i6000000
χ704-44-4-2400-442-22-400-22-22−2i22i20000−2i22i22i2−2i2000000000000000i2−i2i2−i2−i2i2000000000−232300000000000000000000−i6i6000000
χ714-44-4-2400-442-22-400-22-222i2−2i200002i2−2i2−2i22i2000000000000000−i2i2−i2i2i2−i200000000023−2300000000000000000000−i6i6000000
χ724-44-4-2400-442-22-400-22-222i2−2i200002i2−2i2−2i22i2000000000000000−i2i2−i2i2i2−i2000000000−232300000000000000000000i6−i6000000
χ734-4-4444-44-4-44-4-44004-4-440044-4-4000000000000000004-4000000000000000000000000000000000000000000000
χ744-4-444-2-44224-4-4-200-222-2004-2-42000000−2i3−2i32i32i30000000-22000000000002i3−2i300000000000000000000000000000000
χ754-4-444-2-44224-4-4-200-222-2004-2-420000002i32i3−2i3−2i30000000-2200000000000−2i32i300000000000000000000000000000000
χ764-4-44-244-4-4-4-22244-4-222-2002-4-2400000000000-224-4002-2000000000000000000000-220000000000000000000000
χ774-4-44-244-4-4-4-2224-44-222-2002-4-24000000000002-2-44002-20000000000000000000002-20000000000000000000000
χ784-4-44-24-44-4-4-222400-222-200-242-400000000000000000-2200000000000000000000000000000000023−230000000000
χ794-4-44-24-44-4-4-222400-222-200-242-400000000000000000-22000000000000000000000000000000000−23230000000000
χ804-4-44-2-24-422-222-24-41-1-110022-2-2−2i3−2i32i32i30000000-22-22−2i32i3-1100i3i3−i3−i30000000000000001-10i3−i30000000000000000000
χ814-4-44-2-24-422-222-24-41-1-110022-2-22i32i3−2i3−2i30000000-22-222i3−2i3-1100−i3−i3i3i30000000000000001-10−i3i30000000000000000000
χ824-4-44-2-24-422-222-2-441-1-110022-2-2−2i3−2i32i32i300000002-22-22i3−2i3-1100i3i3−i3−i3000000000000000-110−i3i30000000000000000000
χ834-4-44-2-24-422-222-2-441-1-110022-2-22i32i3−2i3−2i300000002-22-2−2i32i3-1100−i3−i3i3i3000000000000000-110i3−i30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-48008-844-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4444-440022-2-200000026−2626−2600000000000000000−66−66000000000000000000000000000000000000000
χ8788-8-8-4-400-4444-440022-2-2000000−2626−2626000000000000000006−66−6000000000000000000000000000000000000000
χ888-88-8-4-4004-44-444002-22-2−4i24i200002i2−2i2−2i22i20000000000000002i2−2i2−i2i2i2−i2000000000000000000000000000000000000000
χ898-88-8-4-4004-44-444002-22-24i2−4i20000−2i22i22i2−2i2000000000000000−2i22i2i2−i2−i2i2000000000000000000000000000000000000000
χ908-8-88-4-4-8844-444-4002-2-2200-4-444000000000000000002-2000000000000000000000000000000000000000000000

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