Finite Group Databasebeta

← Group #11868108

Character table — Group #11868108

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222244444444444444444444444488888888888888888888881818181824242424242424243636363636364848484848484848
order122334466234666888812121212121224242424242424246666612121212122424242424242424242424242244222488882488886661224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-111-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-11-1-111
χ5111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-111-1-1-1-111-1-11-11-1
χ6111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1111-1-1-1-1-1-111-11-11
χ7111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-11111-11-111-1-11
χ8111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111-11-1-111-1
χ9111111111-11-111111-1-111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ10111111111-11-111111-1-111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111
χ11111111111-11-111111-1-111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-111-1-1-111
χ12111111111-11-111111-1-111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1111-1-1
χ13111111111-11-1111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111111111111-11-1-11-11-1-1-1-11111-1-1-11-11
χ14111111111-11-1111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1111111111111-11-111-11-1-1-1-1-111-1-1111-11-1
χ15111111111-11-1111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11-1-11-111-11111-1-1-11-11-111-1
χ16111111111-11-1111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-111-11-1-111111-1-11-11-11-1-11
χ1722222-2-222020222002i−2i-2-2-2-2-2-2000000000020000-20000002i2i2i2i−2i−2i−2i−2i22-2-20000000000002i−2i00000000
χ1822222-2-222020222002i−2i-2-2-2-2-2-2000000000020000-20000002i2i2i2i−2i−2i−2i−2i-2-222000000000000−2i2i00000000
χ1922222-2-22202022200−2i2i-2-2-2-2-2-2000000000020000-2000000−2i−2i−2i−2i2i2i2i2i22-2-2000000000000−2i2i00000000
χ2022222-2-22202022200−2i2i-2-2-2-2-2-2000000000020000-2000000−2i−2i−2i−2i2i2i2i2i-2-2220000000000002i−2i00000000
χ212222-122-122-122-1-12222-12-1-1-1222-1-1-1-1-1-12-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000220022000000000-1-10-1-100
χ222222-122-122-122-1-12222-12-1-1-1222-1-1-1-1-1-12-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000-2-200-2-20000000001101100
χ232222-122-122-122-1-1-2-2-2-2-12-1-1-12-2-21111112-1-1-1-1-12-1-1-1-2111-2111-211100002-2002-2000000000-110-1100
χ242222-122-122-122-1-1-2-2-2-2-12-1-1-12-2-21111112-1-1-1-1-12-1-1-1-2111-2111-21110000-2200-220000000001-101-100
χ252222-122-12-2-1-22-1-122-2-2-12-1-1-1222-1-1-1-1-1-1-21-1111-2-1112-1-1-1-2111-211100002200-2-2000000000-1-101100
χ262222-122-12-2-1-22-1-122-2-2-12-1-1-1222-1-1-1-1-1-1-21-1111-2-1112-1-1-1-2111-21110000-2-20022000000000110-1-100
χ272222-122-12-2-1-22-1-1-2-222-12-1-1-12-2-2111111-21-1111-2-111-21112-1-1-12-1-1-100002-200-22000000000-1101-100
χ282222-122-12-2-1-22-1-1-2-222-12-1-1-12-2-2111111-21-1111-2-111-21112-1-1-12-1-1-10000-22002-20000000001-10-1100
χ29222-12222-12-12-12-122222-1-1-12-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-12-1-1000000220022000000-100-100-1-1
χ30222-12222-12-12-12-122222-1-1-12-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-12-1-1000000-2-200-2-200000010010011
χ31222-12222-12-12-12-1-2-2-2-22-1-1-12-111-2-21111-12-1-1-12-1-1-1-11-2111-2111-2110000002-2002-2000000-100100-11
χ32222-12222-12-12-12-1-2-2-2-22-1-1-12-111-2-21111-12-1-1-12-1-1-1-11-2111-2111-211000000-2200-22000000100-1001-1
χ33222-12222-1-2-1-2-12-122-2-22-1-1-12-1-1-122-1-1-1-11-2-111-21-111-12-1-11-2111-2110000002200-2-2000000-100-10011
χ34222-12222-1-2-1-2-12-122-2-22-1-1-12-1-1-122-1-1-1-11-2-111-21-111-12-1-11-2111-211000000-2-20022000000100100-1-1
χ35222-12222-1-2-1-2-12-1-2-2222-1-1-12-111-2-211111-2-111-21-1111-211-12-1-1-12-1-10000002-200-22000000-1001001-1
χ36222-12222-1-2-1-2-12-1-2-2222-1-1-12-111-2-211111-2-111-21-1111-211-12-1-1-12-1-1000000-22002-2000000100-100-11
χ3722-2222-22222-2-2-220000-2-2-2-2220000000022-222-2-22-2-20000000000002-22-2000000002-2000000000000
χ3822-2222-22222-2-2-220000-2-2-2-2220000000022-222-2-22-2-2000000000000-22-2200000000-22000000000000
χ3922-2222-222-222-2-220000-2-2-2-22200000000-2-2-2-2-2222220000000000002-22-200000000-22000000000000
χ4022-2222-222-222-2-220000-2-2-2-22200000000-2-2-2-2-222222000000000000-22-22000000002-2000000000000
χ4122-222-2222020-2-222-2002222-2-22222222200-20000-200-2-2-2-2000000002-2-2200000000002-20000000000
χ4222-222-2222020-2-222-2002222-2-22222222200-20000-200-2-2-2-200000000-222-20000000000-220000000000
χ4322-222-2222020-2-22-22002222-2-2-2-2-2-2-2-2-2-200-20000-2002222000000002-2-220000000000-220000000000
χ4422-222-2222020-2-22-22002222-2-2-2-2-2-2-2-2-2-200-20000-200222200000000-222-200000000002-20000000000
χ454444-2-4-4-240-204-2-2004i−4i2-4222-40000000000-2000020000004i−2i−2i−2i−4i2i2i2i00000000000000000000000000
χ464444-2-4-4-240-204-2-200−4i4i2-4222-40000000000-200002000000−4i2i2i2i4i−2i−2i−2i00000000000000000000000000
χ47444-24-4-44-20-20-24-2004i−4i-4222-420000000000-200002000000−2i4i−2i−2i2i−4i2i2i00000000000000000000000000
χ48444-24-4-44-20-20-24-200−4i4i-4222-420000000000-2000020000002i−4i2i2i−2i4i−2i−2i00000000000000000000000000
χ49444-2-244-2-2414-2-214444-2-211-2-2-2-2-2-21111-2-2111-2-2111-2-211-2-211-2-21100000000000000000000000000
χ50444-2-244-2-2414-2-21-4-4-4-4-2-211-2-22222-1-1-1-1-2-2111-2-211122-1-122-1-122-1-100000000000000000000000000
χ51444-2-244-2-2-41-4-2-2144-4-4-2-211-2-2-2-2-2-21111221-1-1221-1-1-2-21122-1-122-1-100000000000000000000000000
χ52444-2-244-2-2-41-4-2-21-4-444-2-211-2-22222-1-1-1-1221-1-1221-1-122-1-1-2-211-2-21100000000000000000000000000
χ53444-2-2-4-4-2-2010-2-21004i−4i22-1-12200003i3i−3i−3i0013-300-13-3003i−3i−2i−2iii2i2i−i−i00000000000000000000000000
χ54444-2-2-4-4-2-2010-2-21004i−4i22-1-1220000−3i−3i3i3i001-3300-1-3300−3i3i−2i−2iii2i2i−i−i00000000000000000000000000
χ55444-2-2-4-4-2-2010-2-2100−4i4i22-1-12200003i3i−3i−3i001-3300-1-33003i−3i2i2i−i−i−2i−2iii00000000000000000000000000
χ56444-2-2-4-4-2-2010-2-2100−4i4i22-1-1220000−3i−3i3i3i0013-300-13-300−3i3i2i2i−i−i−2i−2iii00000000000000000000000000
χ5744-44-24-4-244-2-4-42-200002-422-24000000004-22-2-22-4-22200000000000000000000000000000000000000
χ5844-44-24-4-24-4-24-42-200002-422-2400000000-42222-24-2-2-200000000000000000000000000000000000000
χ5944-44-2-44-240-20-42-24-400-24-2-22-444-2-2-2-2-2-20020000200-42220000000000000000000000000000000000
χ6044-44-2-44-240-20-42-2-4400-24-2-22-4-4-422222200200002004-2-2-20000000000000000000000000000000000
χ6144-4-244-44-24-2-42-4-20000-42224-200000000-242-2-2-42-22200000000000000000000000000000000000000
χ6244-4-244-44-2-4-242-4-20000-42224-2000000002-42224-2-2-2-200000000000000000000000000000000000000
χ6344-4-24-444-20-202-4-24-4004-2-2-2-42-2-244-2-2-2-200200002002-4220000000000000000000000000000000000
χ6444-4-24-444-20-202-4-2-44004-2-2-2-4222-4-422220020000200-24-2-20000000000000000000000000000000000
χ6544-4-2-24-4-2-241-4221000022-1-1-2-200003i3i−3i−3i-2-2-111221-1-100−3i3i003i−3i003i−3i00000000000000000000000000
χ6644-4-2-24-4-2-241-4221000022-1-1-2-20000−3i−3i3i3i-2-2-111221-1-1003i−3i00−3i3i00−3i3i00000000000000000000000000
χ6744-4-2-24-4-2-2-414221000022-1-1-2-200003i3i−3i−3i22-1-1-1-2-211100−3i3i00−3i3i00−3i3i00000000000000000000000000
χ6844-4-2-24-4-2-2-414221000022-1-1-2-20000−3i−3i3i3i22-1-1-1-2-2111003i−3i003i−3i003i−3i00000000000000000000000000
χ6944-4-2-2-44-2-20102214-400-2-21122-2-2-2-2111100-13-300-1-3322-1-1003-300-3300000000000000000000000000
χ7044-4-2-2-44-2-20102214-400-2-21122-2-2-2-2111100-1-3300-13-322-1-100-33003-300000000000000000000000000
χ7144-4-2-2-44-2-2010221-4400-2-211222222-1-1-1-100-13-300-1-33-2-21100-33003-300000000000000000000000000
χ7244-4-2-2-44-2-2010221-4400-2-211222222-1-1-1-100-1-3300-13-3-2-211003-300-3300000000000000000000000000
χ738-808800-8-808000-8000000000000000000000000000000000000000000000000000000000000000000
χ748-808-4004-80-400040000000000002i6−2i62i6−2i62i6−2i6000000000000000000000000000000000000000000000000
χ758-808-4004-80-40004000000000000−2i62i6−2i62i6−2i62i6000000000000000000000000000000000000000000000000
χ768-80-4800-840-40004000000000026−260026−26−2626000000000000000000000000000000000000000000000000
χ778-80-4800-840-400040000000000−262600−262626−26000000000000000000000000000000000000000000000000
χ788-80-4-4004402000-20000006i−6i0026−262i6−2i6−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ23000000000000000000000000000000000000000000000000
χ798-80-4-4004402000-20000006i−6i00−2626−2i62i62ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ23000000000000000000000000000000000000000000000000
χ808-80-4-4004402000-2000000−6i6i0026−26−2i62i62ζ7−2ζ23−2ζ7+2ζ232ζ5−2ζ13−2ζ5+2ζ13000000000000000000000000000000000000000000000000
χ818-80-4-4004402000-2000000−6i6i00−26262i6−2i6−2ζ7+2ζ232ζ7−2ζ23−2ζ5+2ζ132ζ5−2ζ13000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.