Finite Group Databasebeta

← Group #11895873

Character table — Group #11895873

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order122233444466666634666121212121212121244121212121212121212121212224444441212121212121212121212121212246666881212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-11111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-11-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-11-1-1-1-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1
χ711111111111111111111111111111-1-11-1-1-1-11111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ811111111111111111111111111111-1-11-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-111
χ9111111-1-1111111111-1111111-1-1-1-111-1-111-1-1-1-1-1-1-111111-11-11111-1-111111-111-1-1-1-111-1-11-1-1-11-111-1-111-1-11-1
χ10111111-1-1111111111-1111111-1-1-1-111-1-111-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-1-1-11-111-1-11-111111-1-1-1-1111-1-1-1-111-11
χ11111111-1-1111111111-1111111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-11-11-11111-1-111111-111-1-1-11-1-1-1-1-11111-1-1-111-1-111-11
χ12111111-1-1111111111-1111111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-11-11-1-1-1-111-1-1-1-11-111-1-111-1-111-1111-11-1-11111-1-11-1
χ13111111-1-1111111111-1111111-1-1-1-11-11-1-1-111-1-1-1-1-111111-11-1-1-111-1-1-1-1-1-1-11-1-1111-11111-11-1-11-1-1-111-1-1111-1
χ14111111-1-1111111111-1111111-1-1-1-11-11-1-1-111-1-1-1-1-11111-11-1111-1-1111111-11-1-111-1-111-1-1-11-1-1-11-1-11111-1-1-11
χ15111111-1-1111111111-1111111-1-1-1-11-11-1-1-111-1-1-1-1-111-1-11-11-1-1-111-1-1-1-1-1-1-11-1-11111-1-1111-1111-111-1-111-1-1-11
χ16111111-1-1111111111-1111111-1-1-1-11-11-1-1-111-1-1-1-1-111-1-1-11-1111-1-1111111-11-1-111-11-1-1-1-11-111-1111-1-1-1-1111-1
χ1722222222-2-22222222-2222-2-2-22222-200-20000-222-2-2-2-20022-2-200222200000000000000000000-2-20000000000
χ1822222222-2-22222222-2222-2-2-22222-200-20000-222-2-2-2-200-2-22200-2-2-2-200000000000000000000220000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-200200002-2-222-2-2002-2-220022-2-200000000000000000000-220000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-200200002-2-222-2-200-222-200-2-222000000000000000000002-20000000000
χ2122222-1222222-12-1-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-122-1-1-1-12000-1-10000-1-10000000000
χ2222222-1222222-12-1-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-21111111122-1-1-1-1-2000110000110000000000
χ2322222-1222222-12-1-1-12-1-1-12-1-122-1-12-2-221111-1-1-1-1-1-1-1002222-2-2-1-1-1-11111-2-21111-2000110000-1-10000000000
χ2422222-1222222-12-1-1-12-1-1-12-1-122-1-12-2-221111-1-1-1-1-1-1-100-2-2-2-2221111-1-1-1-1-2-211112000-1-10000110000000000
χ2522222-122-2-222-12-1-1-1-2-1-1-1-21122-1-1-200-2−i3i3−i3i31-1-111110022-2-200-1-1-1-1−i3−i3i3i300−i3i3−i3i30000−i3i30000110000000000
χ2622222-122-2-222-12-1-1-1-2-1-1-1-21122-1-1-200-2−i3i3−i3i31-1-1111100-2-222001111i3i3−i3−i300−i3i3−i3i30000i3−i30000-1-10000000000
χ2722222-122-2-222-12-1-1-1-2-1-1-1-21122-1-1-200-2i3−i3i3−i31-1-111110022-2-200-1-1-1-1i3i3−i3−i300i3−i3i3−i30000i3−i30000110000000000
χ2822222-122-2-222-12-1-1-1-2-1-1-1-21122-1-1-200-2i3−i3i3−i31-1-1111100-2-222001111−i3−i3i3i300i3−i3i3−i30000−i3i30000-1-10000000000
χ2922222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-21122-2-2-1-11111111-1-1002-22-222-1-111-1-1-1-12-2-1-111-2000110000-110000000000
χ3022222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-21122-2-2-1-11111111-1-100-22-22-2-211-1-111112-2-1-1112000-1-100001-10000000000
χ3122222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-2112-22-211-1-111111-1-1002-22-2-2-2-1-1111111-2211-1-12000-1-10000-110000000000
χ3222222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-2112-22-211-1-111111-1-100-22-222211-1-1-1-1-1-1-2211-1-1-20001100001-10000000000
χ3322222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-2002−i3i3i3−i3-111-1-111002-2-2200-1-111−i3−i3i3i300−i3i3i3−i30000i3−i300001-10000000000
χ3422222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-2002−i3i3i3−i3-111-1-11100-222-20011-1-1i3i3−i3−i300−i3i3i3−i30000−i3i30000-110000000000
χ3522222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-2002i3−i3−i3i3-111-1-111002-2-2200-1-111i3i3−i3−i300i3−i3−i3i30000−i3i300001-10000000000
χ3622222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-2002i3−i3−i3i3-111-1-11100-222-20011-1-1−i3−i3i3i300i3−i3−i3i30000i3−i30000-110000000000
χ372222-122222-1-12-122-12-1-1-1-122-1-122-122-122222-1-1-1-1-1-12200000000000000-1-1-1-1-1-102-1-10022-1-100-1-1-1-1000000
χ382222-122222-1-12-122-12-1-1-1-122-1-122-122-122222-1-1-1-1-1-1-2-200000000000000-1-1-1-1-1-10-21100-2-211001111000000
χ392222-122222-1-12-122-12-1-1-1-122-1-122-1-2-2-1-2-2-2-22-1-1-1-1-1-1220000000000000011111102-1-100-2-2-1-1001111000000
χ402222-122222-1-12-122-12-1-1-1-122-1-122-1-2-2-1-2-2-2-22-1-1-1-1-1-1-2-2000000000000001111110-21100221100-1-1-1-1000000
χ412222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-12-2122-2-2-21111-1-12200000000000000-11-1-1110-2-1-1002-21100-1-111000000
χ422222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-12-2122-2-2-21111-1-1-2-200000000000000-11-1-111021100-22-1-10011-1-1000000
χ432222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-1-221-2-222-21111-1-122000000000000001-111-1-10-2-1-100-22110011-1-1000000
χ442222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-1-221-2-222-21111-1-1-2-2000000000000001-111-1-10211002-2-1-100-1-111000000
χ4522-2-22200-22-222-2-2-220-2-22-22-2000020000000000002-22-200002i−2i00002i−2i2i−2i000000002-20000000000002i−2i0000
χ4622-2-22200-22-222-2-2-220-2-22-22-2000020000000000002-22-20000−2i2i0000−2i2i−2i2i000000002-2000000000000−2i2i0000
χ4722-2-22200-22-222-2-2-220-2-22-22-2000020000000000002-2-2200002i−2i00002i−2i2i−2i00000000-22000000000000−2i2i0000
χ4822-2-22200-22-222-2-2-220-2-22-22-2000020000000000002-2-220000−2i2i0000−2i2i−2i2i00000000-220000000000002i−2i0000
χ494444-2444-4-4-2-24-244-2-4-2-2-22-4-4-2-24420020000-4-2-2222200000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-24-244-24-2-2-22-4-422-4-4200-20000422-2-22200000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-2-2-2-2-21111110000000000000000-2-211110000000000000000000000
χ524444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-22222-2111111000000000000000022-1-1-1-10000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-22002−2i32i3−2i32i3211-1-1-1-1000000000000000000i3−i3i3−i30000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-220022i3−2i32i3−2i3211-1-1-1-1000000000000000000−i3i3−i3i30000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-24-42-2-2222-1-1-1-1110000000000000000-2211-1-10000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-2-44222-2-22-1-1-1-11100000000000000002-2-1-1110000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2−2i32i32i3−2i3-2-1-111-1-1000000000000000000i3−i3−i3i30000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-22i3−2i3−2i32i3-2-1-111-1-1000000000000000000−i3i3i3−i30000000000000000000000
χ5944-4-444004-4-444-4-4-440-4-444-440000-4000000000000-4400000000000000000000000000000000000000000000
χ6044-4-44-2004-4-44-2-422-2022-242-20000-40000000000002-200000000000023−23−23230000000000000000000000000000
χ6144-4-44-2004-4-44-2-422-2022-242-20000-40000000000002-2000000000000−232323−230000000000000000000000000000
χ6244-4-44-200-44-44-2-422-2022-2-4-2200004000000000000-220000004i−4i0000−2i2i−2i2i0000000000000000000000000000
χ6344-4-44-200-44-44-2-422-2022-2-4-2200004000000000000-22000000−4i4i00002i−2i2i−2i0000000000000000000000000000
χ6444-4-4-24004-42-242-4-4-2022-2-2-44000020000000000002-200000000000000000000000000000023−23000000000000
χ6544-4-4-24004-42-242-4-4-2022-2-2-44000020000000000002-2000000000000000000000000000000−2323000000000000
χ6644-4-4-2400-442-242-4-4-2022-224-40000-2000000000000-224-40000000000000000000000-22000000000000000000
χ6744-4-4-2400-442-242-4-4-2022-224-40000-2000000000000-22-4400000000000000000000002-2000000000000000000
χ684-44-44400004-4-4-44-4404-4-40000000000000000000000000000000000000000000000000000000000000022−2200
χ694-44-44400004-4-4-44-4404-4-400000000000000000000000000000000000000000000000000000000000000−222200
χ704-4-44444-400-4-4-44-4440-44-40004-44-40000000004-4000000000000000000000000000000000000000000000000
χ714-4-4444-4400-4-4-44-4440-44-4000-44-44000000000-44000000000000000000000000000000000000000000000000
χ724-4-444-24-400-4-4242-2-202-220004-4-22000000000-2200000000000023−2323−2300000000000000000000000000000000
χ734-4-444-24-400-4-4242-2-202-220004-4-22000000000-22000000000000−2323−232300000000000000000000000000000000
χ744-4-444-2-4400-4-4242-2-202-22000-442-20000000002-200000000000023−23−232300000000000000000000000000000000
χ754-4-444-2-4400-4-4242-2-202-22000-442-20000000002-2000000000000−232323−2300000000000000000000000000000000
χ764-4-44-244-40022-4-2-44-202-22000-224-4000000000-22000000000000000000000000000000000000006−66−6000000
χ774-4-44-244-40022-4-2-44-202-22000-224-4000000000-2200000000000000000000000000000000000000−66−66000000
χ784-4-44-24-440022-4-2-44-202-220002-2-440000000002-2000000000000000000000000000000000000006−6−66000000
χ794-4-44-24-440022-4-2-44-202-220002-2-440000000002-200000000000000000000000000000000000000−666−6000000
χ8088-8-8-4-4008-84-4-444420-2-22-44-400004000000000000-2200000000000000000000000000000000000000000000
χ8188-8-8-4-400-884-4-444420-2-224-440000-40000000000002-200000000000000000000000000000000000000000000
χ828-88-88-400008-84-8-44-40-444000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-480000-44-848-8-40-444000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-40000-4444-44202-2-20000000000000000006-60000000000000000000000000000000000000000000000
χ858-88-8-4-40000-4444-44202-2-2000000000000000000-660000000000000000000000000000000000000000000000
χ868-8-88-4-48-800444-44-420-22-2000-44-440000000002-2000000000000000000000000000000000000000000000000
χ878-8-88-4-4-8800444-44-420-22-20004-44-4000000000-22000000000000000000000000000000000000000000000000

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