Finite Group Databasebeta

← Group #11868110

Character table — Group #11868110

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222224444444444666666888888888888812121212121212121212121616161616161616242424242424242424242424243636363648487272
order1223344662346661212121222441212466681212121212122424246688881224246121212122424242266688122424242424888862428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11-1-1111111111-11111-1111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1111-111-1-111-1-1111111111111-11-1-1-1-1-1-1-11-1-1-1-11-1-11111111-1-1-1-1
χ41111111111111111111111111-1111-111-1-111-1-11111-1-1-1-11-1-11-11-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-11111111111111-1-1-1-11111-11111111111-11-1-1-1-11-1-1-1111-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-11111-1111-11-1-1-1-1-11-1-1111-1-111111-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-11111-111-1-1-1111111-1-1
χ9111111111-11-111111111111111-1-11-1-1-11111-1-1-1-11111-1-1111-11-111-1-1-111-111-1-1-1-1-11-1-111-1-11-11-1
χ10111111111-11-111111111111111-1-11-1-1-11111-1-1-1-111-1-1111-1-1-11-111-1-1-11-1-111-11-1-1-1-111-1-111-11-11
χ11111111111-11-11111111111111-1-1-111-1-1-1-11111-1-11111-1-1111-1-1-1-1-1111-1-1-1-1-111-1111-1-111-1-1-11-11
χ12111111111-11-11111111111111-1-1-111-1-1-1-11111-1-111-1-1111-1-1-1-1-1-1-1111-11-1-1-11-1-111-111-1-1111-11-1
χ13111111111-11-11111111-1-1-1-1-1-11-1-11-1-1-11111-1-111-1-111-1-1-111-11-111-1-1-1-111-1-11-11111-1-1-1-1111-1-11
χ14111111111-11-11111111-1-1-1-1-1-11-1-11-1-1-11111-1-111-1-1-1-111-1-1-1-11-111-1-1-1-1-11-1-111111-11111-1-1-111-1
χ15111111111-11-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-111-1-1-1-1-11111-1111-111-1-11-1-1-1-111-111-1
χ16111111111-11-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-1-1-11111-1-11-1-11
χ1722222-2-222020222-2-2-2-222-2-2-2-2000200000-2-2000022002i−2i-20000000000000000000002i−2i002i−2i0000
χ1822222-2-222020222-2-2-2-222-2-2-2-2000200000-2-200002200−2i2i-2000000000000000000000−2i2i00−2i2i0000
χ1922222-2-222020222-2-2-2-2-2-22222000200000-2-20000-2-2002i−2i20000000000000000000002i−2i00−2i2i0000
χ2022222-2-222020222-2-2-2-2-2-22222000200000-2-20000-2-200−2i2i2000000000000000000000−2i2i002i−2i0000
χ212222-1222-12-122-1-1-12-122222-1-122-1-122-1-1-1-1-1-1-122-1-10000-100-12-1-1-12-1-120-1-1-120-1-1-100000000000
χ222222-1222-12-122-1-1-12-122222-1-1-22-1-1-22-111-1-11122-1-10000-100-1-2-111-211-20-111-20-11100000000000
χ232222-1222-12-122-1-1-12-12-2-2-2-21122-1-122-1-1-1-1-1-1-1-2-2110000100-12-1-1-12-1-1-20111-2011100000000000
χ242222-1222-12-122-1-1-12-12-2-2-2-211-22-1-1-22-111-1-111-2-2110000100-1-2-111-211201-1-1201-1-100000000000
χ252222-1222-1-2-1-22-1-1-12-122222-1-12-21-1-2-21-1-1-1-111-2-2-1-10000-100121-1-1-211201-1-1-2011100000000000
χ262222-1222-1-2-1-22-1-1-12-122222-1-1-2-21-12-2111-1-1-1-1-2-2-1-10000-1001-21112-1-1-20111201-1-100000000000
χ272222-1222-1-2-1-22-1-1-12-12-2-2-2-2112-21-1-2-21-1-1-1-11122110000100121-1-1-211-20-11120-1-1-100000000000
χ282222-1222-1-2-1-22-1-1-12-12-2-2-2-211-2-21-12-2111-1-1-1-1221100001001-21112-1-120-1-1-1-20-11100000000000
χ29222-1222-122-12-12-12-12-10000002-12-12-1222-1-122000022220-1-1-1-1-1-1-1-1-1-10200002000-1-1-10000-1-100
χ30222-1222-122-12-12-12-12-10000002-12-12-1222-1-1220000-2-2-2-2011-1-1-1-1-1-1-1-10-20000-200011100001100
χ31222-1222-122-12-12-12-12-1000000-2-12-1-2-12-2-2-1-1-2-2000022220-1-1-11-1111110-20000-2000-1-1-100001100
χ32222-1222-122-12-12-12-12-1000000-2-12-1-2-12-2-2-1-1-2-20000-2-2-2-2011-11-11111102000020001110000-1-100
χ33222-1222-12-2-1-2-12-12-12-100000021-2-1-21-222-1-1-2-2000022-2-20-1-11-11-1-1111020000-2000-1110000-1100
χ34222-1222-12-2-1-2-12-12-12-100000021-2-1-21-222-1-1-2-20000-2-2220111-11-1-11110-2000020001-1-100001-100
χ35222-1222-12-2-1-2-12-12-12-1000000-21-2-121-2-2-2-1-122000022-2-20-1-111111-1-1-10-200002000-11100001-100
χ36222-1222-12-2-1-2-12-12-12-1000000-21-2-121-2-2-2-1-1220000-2-22201111111-1-1-1020000-20001-1-10000-1100
χ3722-2222-22222-2-2-22-222-22-22-222022-20-2-200-2200-222-20000-20020-20000000-2000020000000000000
χ3822-2222-22222-2-2-22-222-2-22-22-2-2022-20-2-200-22002-2-22000020020-2000000020000-20000000000000
χ3922-2222-222-222-2-22-222-22-22-2220-2-2-202200-22002-22-20000-200-202000000020000-20000000000000
χ4022-2222-222-222-2-22-222-2-22-22-2-20-2-2-202200-2200-22-220000200-2020000000-2000020000000000000
χ4122-222-2222020-2-222-2-222-2-22-2-2000-2000002-200002-22-200222000000000000000000-2002-2000000
χ4222-222-2222020-2-222-2-222-2-22-2-2000-2000002-200002-2-22002-2-2000000000000000000200-22000000
χ4322-222-2222020-2-222-2-22-222-222000-2000002-20000-222-200-222000000000000000000-200-22000000
χ4422-222-2222020-2-222-2-22-222-222000-2000002-20000-22-2200-2-2-20000000000000000002002-2000000
χ4522-22-12-22-12-1-2-21-112-1-22-22-2-1-102-110-21−i3i31-1−i3i3-22-110000100-101−i3i30−i3i3001−i3i300-1−i3i300000000000
χ4622-22-12-22-12-1-2-21-112-1-22-22-2-1-102-110-21i3−i31-1i3−i3-22-110000100-101i3−i30i3−i3001i3−i300-1i3−i300000000000
χ4722-22-12-22-12-1-2-21-112-1-2-22-221102-110-21−i3i31-1−i3i32-21-10000-100-101−i3i30−i3i300-1i3−i3001i3−i300000000000
χ4822-22-12-22-12-1-2-21-112-1-2-22-221102-110-21i3−i31-1i3−i32-21-10000-100-101i3−i30i3−i300-1−i3i3001−i3i300000000000
χ4922-22-12-22-1-2-12-21-112-1-22-22-2-1-10-21102-1−i3i31-1i3−i32-2-11000010010-1−i3i30i3−i300-1−i3i3001i3−i300000000000
χ5022-22-12-22-1-2-12-21-112-1-22-22-2-1-10-21102-1i3−i31-1−i3i32-2-11000010010-1i3−i30−i3i300-1i3−i3001−i3i300000000000
χ5122-22-12-22-1-2-12-21-112-1-2-22-22110-21102-1−i3i31-1i3−i3-221-10000-10010-1−i3i30i3−i3001i3−i300-1−i3i300000000000
χ5222-22-12-22-1-2-12-21-112-1-2-22-22110-21102-1i3−i31-1−i3i3-221-10000-10010-1i3−i30−i3i3001−i3i300-1i3−i300000000000
χ534444-2-4-44-20-204-2-22-42-444-4-422000-200000220000-2-2000020000000000000000000000000000000
χ544444-2-4-44-20-204-2-22-42-4-4-444-2-2000-200000220000220000-20000000000000000000000000000000
χ55444-24-4-4-240-20-24-2-42-42000000000-20000022000000004i−4i0000000000000000000000−2i2i00000000
χ56444-24-4-4-240-20-24-2-42-42000000000-2000002200000000−4i4i00000000000000000000002i−2i00000000
χ57444-2-244-2-2414-2-21-2-2-2-20000004-2-214-2-2-2-211-2-2000000000001-2111-211000000000000000000000
χ58444-2-244-2-2414-2-21-2-2-2-2000000-4-2-21-4-2-222112200000000000121-1-12-1-1000000000000000000000
χ59444-2-244-2-2-41-4-2-21-2-2-2-20000004221-422-2-2112200000000000-1-2-1112-1-1000000000000000000000
χ60444-2-244-2-2-41-4-2-21-2-2-2-2000000-42214222211-2-200000000000-12-1-1-1-211000000000000000000000
χ6144-44-2-444-20-20-42-2-2-4244-4-4422000200000-220000-220000-20000000000000000000000000000000
χ6244-44-2-444-20-20-42-2-2-424-444-4-2-2000200000-2200002-2000020000000000000000000000000000000
χ6344-4-244-4-244-2-42-4-2-4-2420000000-24202-4002-20000000000000-20200000000000000000000000000
χ6444-4-244-4-24-4-242-4-2-4-24200000002-420-24002-2000000000000020-200000000000000000000000000
χ6544-4-24-44-240-202-4-242-4-2000000000200000-220000004-4000-2-200000000000000000020000000000
χ6644-4-24-44-240-202-4-242-4-2000000000200000-22000000-4400022000000000000000000-20000000000
χ6744-4-2-24-4-2-241-42212-2-220000000-2-2-1022−2i32i3-11−2i32i30000000000010-1i3−i30i3−i3000000000000000000000
χ6844-4-2-24-4-2-241-42212-2-220000000-2-2-10222i3−2i3-112i3−2i30000000000010-1−i3i30−i3i3000000000000000000000
χ6944-4-2-24-4-2-2-4142212-2-22000000022-10-2-2−2i32i3-112i3−2i300000000000-101i3−i30−i3i3000000000000000000000
χ7044-4-2-24-4-2-2-4142212-2-22000000022-10-2-22i3−2i3-11−2i32i300000000000-101−i3i30i3−i3000000000000000000000
χ71888-4-4-8-8-4-4020-4-424444000000000200000-2-2000000000000000000000000000000000000000000
χ7288-8-4-4-88-4-4020442-444-4000000000-2000002-2000000000000000000000000000000000000000000
χ738-808800-8-808000-8000000000000000000000000000000000000000000000000000000000000000
χ748-808-400-840-400040000000043−4300000000000000000000000000000000000000000000000000000
χ758-808-400-840-4000400000000−434300000000000000000000000000000000000000000000000000000
χ768-80-48004-80-400040000000000000000000000000000000026−2600000000000000000000000000000
χ778-80-48004-80-4000400000000000000000000000000000000−262600000000000000000000000000000
χ7816-160-8-8008804000-4000000000000000000000000000000000000000000000000000000000000000

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