Finite Group Databasebeta

← Group #11887674

Character table — Group #11887674

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order122233444466666634666121212121212121222224412121212121212121212121244444466668888121212121212121212128888441212121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-11111-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111
χ9111111-1-1111111111-1111-1-1-1-1111111-1-11-1-1-111-1-1-1-1-1-1111-1111111-1-111-1-111111-111-1-11111-1-1-1-111-1-11-111-1-1-1-11-1
χ10111111-1-1111111111-1111-1-1-1-1111111-1-11-1-1-111-1-1-1-1-1-1111-111-1-111-1-1-1-11111111-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-11111-11
χ11111111-1-1111111111-1111-1-1-1-1111111-1-1-11-1-1-1-111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-111111-1-11-1-1-111111-1
χ12111111-1-1111111111-1111-1-1-1-1111111-1-1-11-1-1-1-111-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-1-11-1-11111111111-1-1111-111-1-1-1-1-11
χ13111111-1-1111111111-1111-1-1-1-11111-1-1111-1-1-111-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-111111-1-1-1111-1-111-11
χ14111111-1-1111111111-1111-1-1-1-11111-1-1111-1-1-111-1-1-1-1-1-111-11-1-1-1-1-1-111-1-111-1-1-1-11-111-1-111111111-1-111-11-1-111-1-11-1
χ15111111-1-1111111111-1111-1-1-1-11111-1-111-11-1-1-1-111-1-1-1-111-111111-1-111-1-1111111-11-1-1111111-1-1-1-111-1-1-11-1-111-1-1-11
χ16111111-1-1111111111-1111-1-1-1-11111-1-111-11-1-1-1-111-1-1-1-111-1111-1-1-1-11111-1-11111-11-1-111-1-1-1-11-1-1-1-1-111-1111-1-1111-1
χ1722222222-2-22222222-22222222-2-2-2-2222200-2-2000022-2-2-2-2-2-20000222200000000000000000000000000-2-200000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-200-2-2000022-2-2-2-2220000-2-2-2-2000000000000000000000000002200000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200220000-2-222-2-2-22000022-2-200000000000000000000000000-2200000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200220000-2-222-2-22-20000-2-222000000000000000000000000002-200000000
χ2122222-122222-12-12-1-12-1-1-122-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-10000-1-1-1-122-1-1-1-1000002-1-10000-1-100000000
χ2222222-122222-12-12-1-12-1-1-122-1-12-1-122222-2-22-11111-1-1-1-1-1-122-2-200-1-1-1-100001111-2-2111100000-2110000-1-100000000
χ2322222-122222-12-12-1-12-1-1-122-1-12-1-12-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20011110000111122-1-1-1-100000-21100001100000000
χ2422222-122222-12-12-1-12-1-1-122-1-12-1-12-2-2-2-2-2-22-11111-1-1-1-1-1-1-2-2220011110000-1-1-1-1-2-21111000002-1-100001100000000
χ2522222-122-2-22-12-12-1-1-2-1-1-122-1-1-211-2222200-21−i3i3−i3i3-1-11111-2-20000-1-1-1-10000−i3−i3i3i300−i3i3−i3i3000000−i3i300001100000000
χ2622222-122-2-22-12-12-1-1-2-1-1-122-1-1-211-2222200-21i3−i3i3−i3-1-11111-2-20000-1-1-1-10000i3i3−i3−i300i3−i3i3−i3000000i3−i300001100000000
χ2722222-122-2-22-12-12-1-1-2-1-1-122-1-1-211-2-2-2-2-200-21−i3i3−i3i3-1-1111122000011110000i3i3−i3−i300−i3i3−i3i3000000i3−i30000-1-100000000
χ2822222-122-2-22-12-12-1-1-2-1-1-122-1-1-211-2-2-2-2-200-21i3−i3i3−i3-1-1111122000011110000−i3−i3i3i300i3−i3i3−i3000000−i3i30000-1-100000000
χ2922222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-1-1222-2-22-2-21-1-1111111-1-12-22200-1-1110000-1-1-1-12-2-1-11100000-2110000-1100000000
χ3022222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-1-1222-2-2-22-2111-1-11111-1-12-2-2-200-1-11100001111-2211-1-1000002-1-10000-1100000000
χ3122222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-1-12-2-2222-2-21-1-1111111-1-1-22-2-20011-1-1000011112-2-1-111000002-1-100001-100000000
χ3222222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-1-12-2-222-22-2111-1-11111-1-1-22220011-1-10000-1-1-1-1-2211-1-100000-21100001-100000000
χ3322222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-222-2-2002-1−i3i3i3−i311-1-111-220000-1-1110000−i3−i3i3i300−i3i3i3−i3000000i3−i300001-100000000
χ3422222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-222-2-2002-1i3−i3−i3i311-1-111-220000-1-1110000i3i3−i3−i300i3−i3−i3i3000000−i3i300001-100000000
χ3522222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-2-2-222002-1−i3i3i3−i311-1-1112-2000011-1-10000i3i3−i3−i300−i3i3i3−i3000000−i3i30000-1100000000
χ3622222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-2-2-222002-1i3−i3−i3i311-1-1112-2000011-1-10000−i3−i3i3i300i3−i3−i3i3000000i3−i30000-1100000000
χ372222-122222-12-12-12-12-1-1-1-1-122-122-1000022-122222-1-1-1-1-1-1000022000022220000-1-1-1-1-1-100002000-1-1-1-100-1-1-1-10000
χ382222-122222-12-12-12-12-1-1-1-1-122-122-1000022-122222-1-1-1-1-1-10000-2-20000-2-2-2-20000-1-1-1-1-1-10000-200011110011110000
χ392222-122222-12-12-12-12-1-1-1-1-122-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-10000220000-2-2-2-2000011111100002000-1-1-1-10011110000
χ402222-122222-12-12-12-12-1-1-1-1-122-122-10000-2-2-12-2-2-2-2-1-1-1-1-1-10000-2-20000222200001111110000-2000111100-1-1-1-10000
χ412222-12-2-222-12-12-12-1-2-1-1-111-2-2-122-100002-21-222-2-21111-1-1000022000022-2-20000-11-1-1110000-2000-1-11100-1-1110000
χ422222-12-2-222-12-12-12-1-2-1-1-111-2-2-122-100002-21-222-2-21111-1-10000-2-20000-2-2220000-11-1-1110000200011-1-10011-1-10000
χ432222-12-2-222-12-12-12-1-2-1-1-111-2-2-122-10000-221-2-2-2221111-1-10000220000-2-22200001-111-1-10000-2000-1-1110011-1-10000
χ442222-12-2-222-12-12-12-1-2-1-1-111-2-2-122-10000-221-2-2-2221111-1-10000-2-2000022-2-200001-111-1-10000200011-1-100-1-1110000
χ4522-2-2222-20022-2-2-2-2202-2-22-22-200002-22-2000000002-200000000002-22-22−22−2000000000022−2−200000000002−22−22−200
χ4622-2-2222-20022-2-2-2-2202-2-22-22-200002-22-2000000002-200000000002-22-2−22−220000000000−2−2220000000000−22−22−2200
χ4722-2-2222-20022-2-2-2-2202-2-22-22-20000-22-22000000002-20000000000-22-222−22−20000000000−2−22200000000002−22−2−2200
χ4822-2-2222-20022-2-2-2-2202-2-22-22-20000-22-22000000002-20000000000-22-22−22−22000000000022−2−20000000000−22−222−200
χ4922-2-222-220022-2-2-2-2202-2-2-22-2200002-2-2200000000-2200000000002-2-222−2−22000000000022−2−200000000002−2−22−2200
χ5022-2-222-220022-2-2-2-2202-2-2-22-2200002-2-2200000000-2200000000002-2-22−222−20000000000−2−2220000000000−222−22−200
χ5122-2-222-220022-2-2-2-2202-2-2-22-220000-222-200000000-220000000000-222-22−2−220000000000−2−22200000000002−2−222−200
χ5222-2-222-220022-2-2-2-2202-2-2-22-220000-222-200000000-220000000000-222-2−222−2000000000022−2−20000000000−222−2−2200
χ532-22-222002-2-2-2-2-22220-2-22000022-2-200000000000000002-2002-22i−2i000000002-22-20000002i−2i2i−2i00002i−2i000000000000
χ542-22-222002-2-2-2-2-22220-2-22000022-2-200000000000000002-2002-2−2i2i000000002-22-2000000−2i2i−2i2i0000−2i2i000000000000
χ552-22-222002-2-2-2-2-22220-2-22000022-2-200000000000000002-200-222i−2i00000000-22-22000000−2i2i−2i2i00002i−2i000000000000
χ562-22-222002-2-2-2-2-22220-2-22000022-2-200000000000000002-200-22−2i2i00000000-22-220000002i−2i2i−2i0000−2i2i000000000000
χ574444-2444-4-4-24-24-24-2-4-2-2-2-2-2442-4-420000002-40000-2-222220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-24-24-24-2-2-222-4-42-4-42000000-24000022-2-2220000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-2-211110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-4-2-2222211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-2222200000022−2i32i3−2i32i311-1-1-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222000000222i3−2i32i3−2i311-1-1-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-200004-422-2-222-1-1-1-111000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-20000-442222-2-2-1-1-1-1110000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-2−2i32i32i3−2i3-1-111-1-100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-22i3−2i3−2i32i3-1-111-1-100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-44-24-4004-2-42-42-20-2224-4-2200004-44-400000000-220000000000-22-22000000000000000000000000000000000000
χ6844-4-44-24-4004-2-42-42-20-2224-4-220000-44-4400000000-2200000000002-22-2000000000000000000000000000000000000
χ6944-4-44-2-44004-2-42-42-20-222-442-200004-4-44000000002-20000000000-222-2000000000000000000000000000000000000
χ7044-4-44-2-44004-2-42-42-20-222-442-20000-444-4000000002-200000000002-2-22000000000000000000000000000000000000
χ7144-4-4-244-400-242-42-4-20-222-224-40000000000000000-220000000000000022−2222−22000000000000000000000000−22−220000
χ7244-4-4-244-400-242-42-4-20-222-224-40000000000000000-2200000000000000−2222−22220000000000000000000000002−22−20000
χ7344-4-4-24-4400-242-42-4-20-2222-2-4400000000000000002-20000000000000022−22−2222000000000000000000000000−222−20000
χ7444-4-4-24-4400-242-42-4-20-2222-2-4400000000000000002-200000000000000−222222−220000000000000000000000002−2−220000
χ754-44-44400-44-4-4-4-44440-4-440000-4-4440000000000000000-440000000000000000000000000000000000000000000000
χ764-44-44-2004-4-42-424-2-2022-200004-22-40000000000000000-22004-40000000000-22-220000000000000000000000000000
χ774-44-44-2004-4-42-424-2-2022-200004-22-40000000000000000-2200-4400000000002-22-20000000000000000000000000000
χ784-44-44-200-44-42-424-2-2022-20000-42-2400000000000000002-200000000000000−2i32i32i3−2i30000000000000000000000000000
χ794-44-44-200-44-42-424-2-2022-20000-42-2400000000000000002-2000000000000002i3−2i3−2i32i30000000000000000000000000000
χ804-44-4-24004-42-42-4-24-2022-20000-24-420000000000000000-2200004i−4i00000000000000000000000000−2i2i000000000000
χ814-44-4-24004-42-42-4-24-2022-20000-24-420000000000000000-220000−4i4i000000000000000000000000002i−2i000000000000
χ824-44-4-2400-442-42-4-24-2022-200002-44-200000000000000002-20000000000000000000000000000000000−2i32i30000000000
χ834-44-4-2400-442-42-4-24-2022-200002-44-200000000000000002-200000000000000000000000000000000002i3−2i30000000000
χ844-4-44440000-4-444-4-440-44-400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ854-4-44440000-4-444-4-440-44-4000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ8688-8-8-4-48-800-4-44444202-2-2-44-4400000000000000002-200000000000000000000000000000000000000000000000000
χ8788-8-8-4-4-8800-4-44444202-2-24-44-40000000000000000-2200000000000000000000000000000000000000000000000000
χ888-88-8-4-4008-84444-4-420-2-220000-4-44400000000000000002-20000000000000000000000000000000000000000000000
χ898-88-8-4-400-884444-4-420-2-22000044-4-40000000000000000-220000000000000000000000000000000000000000000000
χ908-8-888-40000-848-4-84-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-4800004-8-484-8-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4000044-4-44420-22-200000000000000000000006-6000000000000000000000000000000000000000000000000
χ938-8-88-4-4000044-4-44420-22-20000000000000000000000-66000000000000000000000000000000000000000000000000

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