Finite Group Databasebeta

← Group #11887819

Character table — Group #11887819

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12223344446666663466612121212121212122244246612121212121212121212244444668888121212121212666121212888844612121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-11111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1111111-1-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-11111-1-111
χ9111111-1-1111111111-1111-1-1-1-1111111-1-11-111-1-1-1-1-1-1-1-111-11-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-11111-1-1111-1-111-11
χ10111111-1-1111111111-1111-1-1-1-1111111-1-11-111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1111111-111-1-1111-1-111-1-11-1
χ11111111-1-1111111111-1111-1-1-1-1111111-1-1-11-1-1-1-111-1-1-1-111-11111111-1-111-1-11111-1-1-11111111-1-1-1-1-111-1-11-1-111-1-1-11
χ12111111-1-1111111111-1111-1-1-1-1111111-1-1-11-1-1-1-111-1-1-1-111-1111-1-11111-1-1-1-11111-1-1-1111-1-1-1-11-1-1-1-1-1-111111-1-1111-1
χ13111111-1-1111111111-1111-1-1-1-11111-1-1111-111-1-1-1-1-1-1-1-1111-11111-1-111-1-1111111111-1-1-11111-1-11-1-111-1-1-111-1-1-1-11-1
χ14111111-1-1111111111-1111-1-1-1-11111-1-1111-111-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-11-11-1-1-1-111-1-1-11111-11
χ15111111-1-1111111111-1111-1-1-1-11111-1-111-11-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-111111-1
χ16111111-1-1111111111-1111-1-1-1-11111-1-111-11-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111111111111-1-111-111-1-1-1-1-11
χ1722222222-2-22222222-22222222-2-2-2-222220000-2-20022-2-2-2-2-2-20000220000220000000000000000-2000000-200000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-20000-2-20022-2-2-2-2220000-2-20000-2-200000000000000002000000200000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200002200-2-222-2-22-20000220000-2-200000000000000002000000-200000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200002200-2-222-2-2-220000-2-20000220000000000000000-2000000200000000
χ2122222-122222-12-12-1-12-1-1-122-1-12-1-12222222-1-12-1-1-1-1-1-1-1-1-1222200-1-10000-1-1-1-1-1-12-1-12-1-1000002-1-1-10000-100000000
χ2222222-122222-12-12-1-12-1-1-122-1-12-1-122222-2-2112-111-1-1-1-1-1-122-2-200-1-10000-1-11111-211-21100000-2-1110000-100000000
χ2322222-122222-12-12-1-12-1-1-122-1-12-1-12-2-2-2-222-1-12-1-1-1-1-1-1-1-1-1-2-2-2-2001100001111112-1-12-1-100000-21110000100000000
χ2422222-122222-12-12-1-12-1-1-122-1-12-1-12-2-2-2-2-2-2112-111-1-1-1-1-1-1-2-2220011000011-1-1-1-1-211-2110000021-1-10000100000000
χ2522222-122-2-22-12-12-1-1-2-1-1-122-1-1-211-2222200−i3i3-21−i3i3-1-11111-2-20000-1-10000-1-1−i3−i3i3i30−i3i30−i3i30000001−i3i30000100000000
χ2622222-122-2-22-12-12-1-1-2-1-1-122-1-1-211-2222200i3−i3-21i3−i3-1-11111-2-20000-1-10000-1-1i3i3−i3−i30i3−i30i3−i30000001i3−i30000100000000
χ2722222-122-2-22-12-12-1-1-2-1-1-122-1-1-211-2-2-2-2-200−i3i3-21−i3i3-1-1111122000011000011i3i3−i3−i30−i3i30−i3i3000000-1i3−i30000-100000000
χ2822222-122-2-22-12-12-1-1-2-1-1-122-1-1-211-2-2-2-2-200i3−i3-21i3−i3-1-1111122000011000011−i3−i3i3i30i3−i30i3−i3000000-1−i3i30000-100000000
χ2922222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-1-1222-2-22-2-1-1-21111111-1-1-22-2-200-1-100001111112-1-1-2110000021-1-10000-100000000
χ3022222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-1-1222-2-2-2211-21-1-11111-1-1-222200-1-1000011-1-1-1-1-2112-1-100000-21110000-100000000
χ3122222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-1-12-2-2222-2-1-1-21111111-1-12-22200110000-1-1-1-1-1-12-1-1-21100000-2-1110000100000000
χ3222222-1-2-2222-12-12-1-1-2-1-1-1-2-2112-1-12-2-222-2211-21-1-11111-1-12-2-2-200110000-1-11111-2112-1-1000002-1-1-10000100000000
χ3322222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-222-2-200−i3i32-1i3−i311-1-1112-20000-1-1000011i3i3−i3−i30−i3i30i3−i3000000-1−i3i30000100000000
χ3422222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-222-2-200i3−i32-1−i3i311-1-1112-20000-1-1000011−i3−i3i3i30i3−i30−i3i3000000-1i3−i30000100000000
χ3522222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-2-2-22200−i3i32-1i3−i311-1-111-220000110000-1-1−i3−i3i3i30−i3i30i3−i30000001i3−i30000-100000000
χ3622222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-2-2-22200i3−i32-1−i3i311-1-111-220000110000-1-1i3i3−i3−i30i3−i30−i3i30000001−i3i30000-100000000
χ372222-122222-12-12-12-12-1-1-1-1-122-122-100002222-1222-1-1-1-1-1-1000022002222000000-1-1-1-1-1-1000020000-1-1-1-10-1-1-1-10000
χ382222-122222-12-12-12-12-1-1-1-1-122-122-100002222-1222-1-1-1-1-1-10000-2-200-2-2-2-2000000-1-1-1-1-1-10000-200001111011110000
χ392222-122222-12-12-12-12-1-1-1-1-122-122-10000-2-2-2-2-12-2-2-1-1-1-1-1-100002200-2-2-2-2000000111111000020000-1-1-1-1011110000
χ402222-122222-12-12-12-12-1-1-1-1-122-122-10000-2-2-2-2-12-2-2-1-1-1-1-1-10000-2-20022220000001111110000-2000011110-1-1-1-10000
χ412222-12-2-222-12-12-12-1-2-1-1-111-2-2-122-100002-2221-2-2-21111-1-10000220022-2-2000000-1-1-11110000-20000-1-1110-1-1110000
χ422222-12-2-222-12-12-12-1-2-1-1-111-2-2-122-100002-2221-2-2-21111-1-10000-2-200-2-222000000-1-1-111100002000011-1-1011-1-10000
χ432222-12-2-222-12-12-12-1-2-1-1-111-2-2-122-10000-22-2-21-2221111-1-100002200-2-222000000111-1-1-10000-20000-1-111011-1-10000
χ442222-12-2-222-12-12-12-1-2-1-1-111-2-2-122-10000-22-2-21-2221111-1-10000-2-20022-2-2000000111-1-1-100002000011-1-10-1-1110000
χ452-22-222002-2-2-2-2-22220-2-22000022-2-200000000000000002-2002-22i−2i000000002-22-20000002i2i−2i−2i000002i−2i00000000000
χ462-22-222002-2-2-2-2-22220-2-22000022-2-200000000000000002-2002-2−2i2i000000002-22-2000000−2i−2i2i2i00000−2i2i00000000000
χ472-22-222002-2-2-2-2-22220-2-22000022-2-200000000000000002-200-222i−2i00000000-22-22000000−2i−2i2i2i000002i−2i00000000000
χ482-22-222002-2-2-2-2-22220-2-22000022-2-200000000000000002-200-22−2i2i00000000-22-220000002i2i−2i−2i00000−2i2i00000000000
χ492-2-22222i−2i00-2-222-2-2202-2-22i−2i2i−2i00002-22i−2i000000002i−2i00000000002-22−2−i2i22i−2i0000000000−i2i2−i2i200000000002−2−i2i22−200
χ502-2-22222i−2i00-2-222-2-2202-2-22i−2i2i−2i00002-22i−2i000000002i−2i00000000002-2−22i2−i22i−2i0000000000i2−i2i2−i20000000000−22i2−i2−2200
χ512-2-22222i−2i00-2-222-2-2202-2-22i−2i2i−2i0000-22−2i2i000000002i−2i0000000000-222−2−i2i2−2i2i0000000000i2−i2i2−i200000000002−2−i2i2−2200
χ522-2-22222i−2i00-2-222-2-2202-2-22i−2i2i−2i0000-22−2i2i000000002i−2i0000000000-22−22i2−i2−2i2i0000000000−i2i2−i2i20000000000−22i2−i22−200
χ532-2-2222−2i2i00-2-222-2-2202-2-2−2i2i−2i2i00002-2−2i2i00000000−2i2i00000000002-22−2i2−i2−2i2i0000000000i2−i2i2−i200000000002−2i2−i22−200
χ542-2-2222−2i2i00-2-222-2-2202-2-2−2i2i−2i2i00002-2−2i2i00000000−2i2i00000000002-2−22−i2i2−2i2i0000000000−i2i2−i2i20000000000−22−i2i2−2200
χ552-2-2222−2i2i00-2-222-2-2202-2-2−2i2i−2i2i0000-222i−2i00000000−2i2i0000000000-222−2i2−i22i−2i0000000000−i2i2−i2i200000000002−2i2−i2−2200
χ562-2-2222−2i2i00-2-222-2-2202-2-2−2i2i−2i2i0000-222i−2i00000000−2i2i0000000000-22−22−i2i22i−2i0000000000i2−i2i2−i20000000000−22−i2i22−200
χ574444-2444-4-4-24-24-24-2-4-2-2-2-2-2442-4-42000000002-400-2-222220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-24-24-24-2-2-222-4-42-4-4200000000-240022-2-2220000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-211-2110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-422-2-2221111110000000000000000002-1-12-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222000000−2i32i322−2i32i311-1-1-1-10000000000000000000i3−i30i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-222220000002i3−2i3222i3−2i311-1-1-1-10000000000000000000−i3i30−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-200004-4-2-22222-1-1-1-111000000000000000000-2112-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-20000-442222-2-2-1-1-1-1110000000000000000002-1-1-2110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000−2i32i3-2-22i3−2i3-1-111-1-10000000000000000000i3−i30−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111222222220000002i3−2i3-2-2−2i32i3-1-111-1-10000000000000000000−i3i30i3−i30000000000000000000000
χ6744-4-444000044-4-4-4-440-44-40000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ6844-4-444000044-4-4-4-440-44-400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ694-44-44400-44-4-4-4-44440-4-440000-4-4440000000000000000-440000000000000000000000000000000000000000000000
χ704-44-44-2004-4-42-424-2-2022-200004-22-40000000000000000-22004-40000000000-22-220000000000000000000000000000
χ714-44-44-2004-4-42-424-2-2022-200004-22-40000000000000000-2200-4400000000002-22-20000000000000000000000000000
χ724-44-44-200-44-42-424-2-2022-20000-42-2400000000000000002-200000000000000−2i32i32i3−2i30000000000000000000000000000
χ734-44-44-200-44-42-424-2-2022-20000-42-2400000000000000002-2000000000000002i3−2i3−2i32i30000000000000000000000000000
χ744-44-4-24004-42-42-4-24-2022-20000-24-420000000000000000-2200004i−4i000000000000000000000000000−2i2i00000000000
χ754-44-4-24004-42-42-4-24-2022-20000-24-420000000000000000-220000−4i4i0000000000000000000000000002i−2i00000000000
χ764-44-4-2400-442-42-4-24-2022-200002-44-200000000000000002-200000000000000000000000000000000000−2i32i3000000000
χ774-44-4-2400-442-42-4-24-2022-200002-44-200000000000000002-2000000000000000000000000000000000002i3−2i3000000000
χ784-4-444-24i−4i00-424-2-42-20-2224i−4i−2i2i00004-44i−4i00000000−2i2i0000000000-220000−2i2i00000000000000000000000000000000
χ794-4-444-24i−4i00-424-2-42-20-2224i−4i−2i2i0000-44−4i4i00000000−2i2i00000000002-200002i−2i00000000000000000000000000000000
χ804-4-444-2−4i4i00-424-2-42-20-222−4i4i2i−2i00004-4−4i4i000000002i−2i0000000000-2200002i−2i00000000000000000000000000000000
χ814-4-444-2−4i4i00-424-2-42-20-222−4i4i2i−2i0000-444i−4i000000002i−2i00000000002-20000−2i2i00000000000000000000000000000000
χ824-4-44-244i−4i002-4-242-4-20-222−2i2i4i−4i0000000000000000−2i2i00000000000022−22−2i22i200000000000000000000000000−22i2−i20000
χ834-4-44-244i−4i002-4-242-4-20-222−2i2i4i−4i0000000000000000−2i2i000000000000−22222i2−2i2000000000000000000000000002−2−i2i20000
χ844-4-44-24−4i4i002-4-242-4-20-2222i−2i−4i4i00000000000000002i−2i00000000000022−222i2−2i200000000000000000000000000−22−i2i20000
χ854-4-44-24−4i4i002-4-242-4-20-2222i−2i−4i4i00000000000000002i−2i000000000000−2222−2i22i2000000000000000000000000002−2i2−i20000
χ8688-8-88-400008-4-84-84-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-480000-484-84-8-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-4-4444420-22-200000000000000000000006i−6i000000000000000000000000000000000000000000000000
χ8988-8-8-4-40000-4-4444420-22-20000000000000000000000−6i6i000000000000000000000000000000000000000000000000
χ908-88-8-4-4008-84444-4-420-2-220000-4-44400000000000000002-20000000000000000000000000000000000000000000000
χ918-88-8-4-400-884444-4-420-2-22000044-4-40000000000000000-220000000000000000000000000000000000000000000000
χ928-8-88-4-48i−8i0044-4-444202-2-2−4i4i−4i4i00000000000000002i−2i00000000000000000000000000000000000000000000000000
χ938-8-88-4-4−8i8i0044-4-444202-2-24i−4i4i−4i0000000000000000−2i2i00000000000000000000000000000000000000000000000000

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