Finite Group Databasebeta

← Group #11864913

Character table — Group #11864913

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222222244444444444444888888888888888991212121212121212161616161616181818242424242424242424242424363636364848484872
order12233446623444666121212121212666812121212121212121212122222444444612242424242444466881212121212122444121224248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ311111111111111111111111111111111111111-1-11-1111-1-1-1111111-1-1-11-11-11-1111-1-1-1-1-1-1-11-11-1-1
χ411111111111111111111111111111111111111-1-1-11-1-1-1111111111-1-1-1-11-11-11-1-1-1111-1-1-1-1-11-11-1
χ5111111111111-1-1111111111111-111-1-1-1-11-1-1-1-1111111111111-1-1-1-1111-1-111-1-111111111-1-1-1-1-1-1-1
χ6111111111111-1-1111111111111-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-1-1-111-1-11111-1
χ7111111111111-1-1111111111111-111-1-1-1-11-1-1-1-1-1-11-1111-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-11-111
χ8111111111111-1-1111111111111-111-1-1-1-11-1-1-1-1-1-1-11-1-1-111111-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-1111-11-11
χ9111111111-11-111111111111-1-11-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1111-1-111111-1-11-1-1-1-111-1-111-1
χ10111111111-11-111111111111-1-11-1-1-111111111111-1-1-111-111-1-1-1-1-1-111111-1-1-1-1-111-111-1-11111-1-1-1
χ11111111111-11-111111111111-1-11-1-1-1111111111-1-11-11-1-1-111-1-1-1-1-1-1-1-1-1-111-11-11-1-1-11111-1-1-111-11
χ12111111111-11-111111111111-1-11-1-1-1111111111-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1111-1-111-1-11-1-111
χ13111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-111111-1-11-1-1-1-111111111111-1-11-1-11-1-1-1-1-1-111-1-11
χ14111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-111-111-1-11111111-1-1-1-111-111-111-1-1-1-1-1-1111
χ15111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-11-11-1-111-1-1-11111111-1-11-1
χ16111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-11-111-1-1111-1-11111-111-1-1
χ1722222-2-22202000222-2-2-2-2-2-20020000000-20000220002-202-20000002-2-200000002-202-2000000000
χ1822222-2-22202000222-2-2-2-2-2-20020000000-2000022000-220-220000002-2-20000000-220-22000000000
χ1922222-2-22202000222-2-2-2-2-2-20020000000-20000-2-20002-20-22000000-22200000002-20-22000000000
χ2022222-2-22202000222-2-2-2-2-2-20020000000-20000-2-2000-2202-2000000-2220000000-2202-2000000000
χ212222-1222-12-12222-1-12-1-1-12-12-1-122-122-1-1-1-1-1-1-10002000222-1-12-1-1-1000020-102000-1-1-100000-10-10
χ222222-1222-12-12222-1-12-1-1-12-12-1-122-122-1-1-1-1-1-1-1000-2000-2-2-2-1-12-1-1-10000-2010-2000111000001010
χ232222-1222-12-12-2-22-1-12-1-1-12-12-1-1-22-1-2-211-111110002000222-1-1-21110000-20-10-2000-1-1-1000001010
χ242222-1222-12-12-2-22-1-12-1-1-12-12-1-1-22-1-2-211-11111000-2000-2-2-2-1-1-211100002010200011100000-10-10
χ252222-1222-1-2-1-2222-1-12-1-1-12-1-21-1-2-2122-1-1-1-1-1-1-100020002-2-211-21110000-20-102000-1110000010-10
χ262222-1222-1-2-1-2222-1-12-1-1-12-1-21-1-2-2122-1-1-1-1-1-1-1000-2000-22211-211100002010-20001-1-100000-1010
χ272222-1222-1-2-1-2-2-22-1-12-1-1-12-1-21-12-21-2-211-1111100020002-2-2112-1-1-1000020-10-2000-11100000-1010
χ282222-1222-1-2-1-2-2-22-1-12-1-1-12-1-21-12-21-2-211-11111000-2000-222112-1-1-10000-201020001-1-10000010-10
χ29222-1222-122-1222-12-1-12-1-1-12-12-12-12-1-122-1-1-1-1-10020222000-1-1-12-1-100020-1020-1-1-10000000-10-100
χ30222-1222-122-1222-12-1-12-1-1-12-12-12-12-1-122-1-1-1-1-100-20-2-2-2000-1-1-12-1-1000-2010-20111000000010100
χ31222-1222-122-12-2-2-12-1-12-1-1-12-12-1-2-1211-2-2-111110020222000-1-11-211000-20-10-20-1-1-1000000010100
χ32222-1222-122-12-2-2-12-1-12-1-1-12-12-1-2-1211-2-2-1111100-20-2-2-2000-1-11-2110002010201110000000-10-100
χ33222-1222-12-2-1-222-12-1-12-1-1-121-2-1-21-2-1-122-1-1-1-1-100202-2-2000111-211000-20-1020-111000000010-100
χ34222-1222-12-2-1-222-12-1-12-1-1-121-2-1-21-2-1-122-1-1-1-1-100-20-222000111-2110002010-201-1-10000000-10100
χ35222-1222-12-2-1-2-2-2-12-1-12-1-1-121-2-121-211-2-2-1111100202-2-200011-12-1-100020-10-20-1110000000-10100
χ36222-1222-12-2-1-2-2-2-12-1-12-1-1-121-2-121-211-2-2-1111100-20-22200011-12-1-1000-2010201-1-1000000010-100
χ3722-2222-22222-200-2-22-2-2-2-22222-20-2-200002000022000000002-20000-22-20000000000002-20000000
χ3822-2222-22222-200-2-22-2-2-2-22222-20-2-2000020000-2-2000000002-200002-22000000000000-220000000
χ3922-2222-222-22200-2-22-2-2-2-222-2-2-20220000200002200000000-220000-22-2000000000000-220000000
χ4022-2222-222-22200-2-22-2-2-2-222-2-2-2022000020000-2-200000000-2200002-220000000000002-20000000
χ4122-222-222202000-2-222222-2-200-20000000-200002222-200-200000000-2-22002200-200-200000000000
χ4222-222-222202000-2-222222-2-200-20000000-2000022-2-2200200000000-2-2200-2-200200200000000000
χ4322-222-222202000-2-222222-2-200-20000000-20000-2-22-2-20020000000022-2002-200-200200000000000
χ4422-222-222202000-2-222222-2-200-20000000-20000-2-2-22200-20000000022-200-2200200-200000000000
χ454444-2-4-44-20-20004-2-2-4222-4200-2000000020000000000004-40000000000000000000-22000000000
χ464444-2-4-44-20-20004-2-2-4222-4200-200000002000000000000-4400000000000000000002-2000000000
χ47444-24-4-4-240-2000-24-22-4222-400-2000000020000000004-40000000000000000000-22000000000000
χ48444-24-4-4-240-2000-24-22-4222-400-200000002000000000-4400000000000000000002-2000000000000
χ49444-2-244-2-241444-2-21-2-211-2-2-2-214-2-2-2-2-2-211111000000000011-2-211000000000000000000000000
χ50444-2-244-2-2414-4-4-2-21-2-211-2-2-2-21-4-2-222221-1-1-1-100000000001122-1-1000000000000000000000000
χ51444-2-244-2-2-41-444-2-21-2-211-2-2221-422-2-2-2-2111110000000000-1-122-1-1000000000000000000000000
χ52444-2-244-2-2-41-4-4-4-2-21-2-211-2-222142222221-1-1-1-10000000000-1-1-2-211000000000000000000000000
χ5344-44-24-44-24-2-400-42-2-42224-24-220-420000-200000000000000-220000000000000000000000000000
χ5444-44-24-44-2-4-2400-42-2-42224-2-42204-20000-2000000000000002-20000000000000000000000000000
χ5544-44-2-444-20-2000-42-24-2-2-2-420020000000200000004000-400000000000000-200000200000000000
χ5644-44-2-444-20-2000-42-24-2-2-2-42002000000020000000-4000400000000000000200000-200000000000
χ5744-4-244-4-244-2-4002-4-22-422-24-24202-40000-200000000000000-220000000000000000000000000000
χ5844-4-244-4-24-4-24002-4-22-422-242-420-240000-2000000000000002-20000000000000000000000000000
χ5944-4-24-44-240-20002-4-2-24-2-22-40020000000200000040-40000000000000000-2000200000000000000
χ6044-4-24-44-240-20002-4-2-24-2-22-400200000002000000-40400000000000000002000-200000000000000
χ6144-4-2-24-4-2-241-40022122-1-1-2-2-2-2-1022000013i3i−3i−3i00000000001-1003i−3i000000000000000000000000
χ6244-4-2-24-4-2-241-40022122-1-1-2-2-2-2-102200001−3i−3i3i3i00000000001-100−3i3i000000000000000000000000
χ6344-4-2-24-4-2-2-4140022122-1-1-2-222-10-2-2000013i3i−3i−3i0000000000-1100−3i3i000000000000000000000000
χ6444-4-2-24-4-2-2-4140022122-1-1-2-222-10-2-200001−3i−3i3i3i0000000000-11003i−3i000000000000000000000000
χ654-404400-4-40402-200-40000000000002-22-202-22-24-400000000000000000000000000000002-200000
χ664-404400-4-40402-200-40000000000002-22-202-22-2-440000000000000000000000000000000-2200000
χ674-404400-4-4040-2200-4000000000000-22-220-22-224-40000000000000000000000000000000-2200000
χ684-404400-4-4040-2200-4000000000000-22-220-22-22-4400000000000000000000000000000002-200000
χ69888-4-4-8-8-4-402000-4-4244-2-2440020000000-200000000000000000000000000000000000000000000
χ7088-8-4-4-88-4-402000442-4-4224400-20000000-200000000000000000000000000000000000000000000
χ718-808-400-840-404-40040000000000004-4-220-22-220000000000000000000000000000000000000000
χ728-808-400-840-40-44004000000000000-442-202-22-20000000000000000000000000000000000000000
χ738-80-48004-80-404-4004000000000000-224-40-22-220000000000000000000000000000000000000000
χ748-80-48004-80-40-440040000000000002-2-4402-22-20000000000000000000000000000000000000000
χ758-80-4-400440204-400-2006i−6i00000000-22-2201+3i−1−3i1−3i−1+3i0000000000000000000000000000000000000000
χ768-80-4-400440204-400-200−6i6i00000000-22-2201−3i−1+3i1+3i−1−3i0000000000000000000000000000000000000000
χ778-80-4-40044020-4400-2006i−6i000000002-22-20−1−3i1+3i−1+3i1−3i0000000000000000000000000000000000000000
χ788-80-4-40044020-4400-200−6i6i000000002-22-20−1+3i1−3i−1−3i1+3i0000000000000000000000000000000000000000

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