Finite Group Databasebeta

← Group #11867880

Character table — Group #11867880

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222224444444444448888888888181824242424242424242424242436363611222222244444444444488888888881818242424242424242424242424363636
order1223344662346661212121212126666612121212128824668812122424242488822266446626466612121212121266666121212121288246688121224242424888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ31111111111111111111111111111111-1-11-1111-1-1-111-1-1-1-1-11111111111111111111111111111111-1-11-1111-1-1-111-1-1-1-1-1
χ41111111111111111111111111111111-1-1-11-1-1-1111-1-111-1-1-11111111111111111111111111111111-1-1-11-1-1-1111-1-111-1-1-1
χ5111111111-11-1111111111-1-11-1-1-1-11-1-1111111-1-111-1-1-1-11-1-1111111111-11-1111111111-1-11-1-1-1-11-1-1111111-1-111-1-1-1-11-1-1
χ6111111111-11-1111111111-1-11-1-1-1-11-1-111-1-1-1-111-1-111111-1-1111111111-11-1111111111-1-11-1-1-1-11-1-111-1-1-1-111-1-111111-1-1
χ7111111111-11-1111111111-1-11-1-1-1-11-1-1-1-11-111-11-1-1-1-111-111111111111-11-1111111111-1-11-1-1-1-11-1-1-1-11-111-11-1-1-1-111-111
χ8111111111-11-1111111111-1-11-1-1-1-11-1-1-1-1-11-1-11-11111-1-1-111111111111-11-1111111111-1-11-1-1-1-11-1-1-1-1-11-1-11-11111-1-1-111
χ922222-2-222020222-2-2-2-2-2-20020000-2000000000000000002i−2i22222-2-222020222-2-2-2-2-2-20020000-2000000000000000002i−2i
χ1022222-2-222020222-2-2-2-2-2-20020000-200000000000000000−2i2i22222-2-222020222-2-2-2-2-2-20020000-200000000000000000−2i2i
χ112222-122-122-122-1-1-12-1-1-122-1-1-1-1-12-1-1-10020-1-12000-1-1000002222-122-122-122-1-1-12-1-1-122-1-1-1-1-12-1-1-10020-1-12000-1-100000
χ122222-122-122-122-1-1-12-1-1-122-1-1-1-1-12-1-1-100-2011-200011000002222-122-122-122-1-1-12-1-1-122-1-1-1-1-12-1-1-100-2011-20001100000
χ132222-122-12-2-1-22-1-1-12-1-1-12-21-1111-2-1110020-1-1-200011000002222-122-12-2-1-22-1-1-12-1-1-12-21-1111-2-1110020-1-1-20001100000
χ142222-122-12-2-1-22-1-1-12-1-1-12-21-1111-2-11100-20112000-1-1000002222-122-12-2-1-22-1-1-12-1-1-12-21-1111-2-11100-20112000-1-100000
χ15222-12222-12-12-12-12-1-1-12-1-12-1-1-12-1-1-1-100020002-1-100-1-1000222-12222-12-12-12-12-1-1-12-1-12-1-1-12-1-1-1-100020002-1-100-1-1000
χ16222-12222-12-12-12-12-1-1-12-1-12-1-1-12-1-1-1-1000-2000-2110011000222-12222-12-12-12-12-1-1-12-1-12-1-1-12-1-1-1-1000-2000-2110011000
χ17222-12222-1-2-1-2-12-12-1-1-12-11-2-111-21-1110002000-2-1-10011000222-12222-1-2-1-2-12-12-1-1-12-11-2-111-21-1110002000-2-1-10011000
χ18222-12222-1-2-1-2-12-12-1-1-12-11-2-111-21-111000-200021100-1-1000222-12222-1-2-1-2-12-12-1-1-12-11-2-111-21-111000-200021100-1-1000
χ1922-2222-22222-2-2-22-2-2-2-22222-222-2-22-2-20000000000000000022-2222-22222-2-2-22-2-2-2-22222-222-2-22-2-200000000000000000
χ2022-2222-222-222-2-22-2-2-2-222-2-2-2-2-2222220000000000000000022-2222-222-222-2-22-2-2-2-222-2-2-2-2-22222200000000000000000
χ2122-222-2222020-2-222222-2-200-20000-20022000000000000-20022-222-2222020-2-222222-2-200-20000-20022000000000000-200
χ2222-222-2222020-2-222222-2-200-20000-200-2-200000000000020022-222-2222020-2-222222-2-200-20000-200-2-2000000000000200
χ2322-22-12-2-122-1-2-21-11-211-122-11-1-11-2-1110000−i3i30000−i3i30000022-22-12-2-122-1-2-21-11-211-122-11-1-11-2-1110000−i3i30000−i3i300000
χ2422-22-12-2-122-1-2-21-11-211-122-11-1-11-2-1110000i3−i30000i3−i30000022-22-12-2-122-1-2-21-11-211-122-11-1-11-2-1110000i3−i30000i3−i300000
χ2522-22-12-2-12-2-12-21-11-211-12-21111-12-1-1-10000−i3i30000i3−i30000022-22-12-2-12-2-12-21-11-211-12-21111-12-1-1-10000−i3i30000i3−i300000
χ2622-22-12-2-12-2-12-21-11-211-12-21111-12-1-1-10000i3−i30000−i3i30000022-22-12-2-12-2-12-21-11-211-12-21111-12-1-1-10000i3−i30000−i3i300000
χ2722-2-122-22-12-1-21-2-1-21112-1-121-1-1-21-11100000000−i3i300−i3i300022-2-122-22-12-1-21-2-1-21112-1-121-1-1-21-11100000000−i3i300−i3i3000
χ2822-2-122-22-12-1-21-2-1-21112-1-121-1-1-21-11100000000i3−i300i3−i300022-2-122-22-12-1-21-2-1-21112-1-121-1-1-21-11100000000i3−i300i3−i3000
χ2922-2-122-22-1-2-121-2-1-21112-11-21112-1-1-1-100000000−i3i300i3−i300022-2-122-22-1-2-121-2-1-21112-11-21112-1-1-1-100000000−i3i300i3−i3000
χ3022-2-122-22-1-2-121-2-1-21112-11-21112-1-1-1-100000000i3−i300−i3i300022-2-122-22-1-2-121-2-1-21112-11-21112-1-1-1-100000000i3−i300−i3i3000
χ314444-2-4-4-240-204-2-22-4222-400-20000200000000000000000004444-2-4-4-240-204-2-22-4222-400-2000020000000000000000000
χ32444-24-4-44-20-20-24-2-4222-4200-2000020000000000000000000444-24-4-44-20-20-24-2-4222-4200-2000020000000000000000000
χ33444-2-244-2-2414-2-21-2-211-2-2-2-2111-2-211100000000000000000444-2-244-2-2414-2-21-2-211-2-2-2-2111-2-211100000000000000000
χ34444-2-244-2-2-41-4-2-21-2-211-2-2221-1-1221-1-100000000000000000444-2-244-2-2-41-4-2-21-2-211-2-2221-1-1221-1-100000000000000000
χ35444-2-2-4-4-2-2010-2-2122-1-1220013-300-13-300000000000000000444-2-2-4-4-2-2010-2-2122-1-1220013-300-13-300000000000000000
χ36444-2-2-4-4-2-2010-2-2122-1-122001-3300-1-3300000000000000000444-2-2-4-4-2-2010-2-2122-1-122001-3300-1-3300000000000000000
χ3744-44-2-44-240-20-42-2-24-2-22-400200002000000000000000000044-44-2-44-240-20-42-2-24-2-22-4002000020000000000000000000
χ3844-4-24-444-20-202-4-24-2-2-2-4200200002000000000000000000044-4-24-444-20-202-4-24-2-2-2-42002000020000000000000000000
χ3944-4-2-24-4-2-241-422122-1-1-2-2-2-2-111221-1-10000000000000000044-4-2-24-4-2-241-422122-1-1-2-2-2-2-111221-1-100000000000000000
χ4044-4-2-24-4-2-2-41422122-1-1-2-222-1-1-1-2-21110000000000000000044-4-2-24-4-2-2-41422122-1-1-2-222-1-1-1-2-211100000000000000000
χ4144-4-2-2-44-2-2010221-2-2112200-13-300-1-330000000000000000044-4-2-2-44-2-2010221-2-2112200-13-300-1-3300000000000000000
χ4244-4-2-2-44-2-2010221-2-2112200-1-3300-13-30000000000000000044-4-2-2-44-2-2010221-2-2112200-1-3300-13-300000000000000000
χ434-404400-4-404000-40000000000000000−2i22i20000000000000004-404400-4-404000-40000000000000000−2i22i2000000000000000
χ444-404400-4-404000-400000000000000002i2−2i20000000000000004-404400-4-404000-400000000000000002i2−2i2000000000000000
χ458-808-4004-80-400040000000000000000000000000000000008-808-4004-80-40004000000000000000000000000000000000
χ468-80-4800-840-400040000000000000000000000000000000008-80-4800-840-40004000000000000000000000000000000000
χ478-80-4-4004402000-2006i−6i000000000000000000000000000008-80-4-4004402000-2006i−6i00000000000000000000000000000
χ488-80-4-4004402000-200−6i6i000000000000000000000000000008-80-4-4004402000-200−6i6i00000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1
χ511111111111111111111111111111111-1-11-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1111-1-111111
χ521111111111111111111111111111111-1-1-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-111-1-1111
χ53111111111-11-1111111111-1-11-1-1-1-11-1-1111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111-11111-111-1-1-1-1-1-111-1-11111-111
χ54111111111-11-1111111111-1-11-1-1-1-11-1-111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111-11111-111-1-11111-1-111-1-1-1-1-111
χ55111111111-11-1111111111-1-11-1-1-1-11-1-1-1-11-111-11-1-1-1-111-111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111-11111-11111-11-1-11-11111-1-11-1-1
χ56111111111-11-1111111111-1-11-1-1-1-11-1-1-1-1-11-1-11-11111-1-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-111-11111-111111-111-11-1-1-1-1111-1-1
χ5722222-2-222020222-2-2-2-2-2-20020000-2000000000000000002i−2i-2-2-2-2-222-2-20-20-2-2-222222200-20000200000000000000000−2i2i
χ5822222-2-222020222-2-2-2-2-2-20020000-200000000000000000−2i2i-2-2-2-2-222-2-20-20-2-2-222222200-200002000000000000000002i−2i
χ592222-122-122-122-1-1-12-1-1-122-1-1-1-1-12-1-1-10020-1-12000-1-100000-2-2-2-21-2-21-2-21-2-2111-2111-2-211111-211100-2011-20001100000
χ602222-122-122-122-1-1-12-1-1-122-1-1-1-1-12-1-1-100-2011-20001100000-2-2-2-21-2-21-2-21-2-2111-2111-2-211111-21110020-1-12000-1-100000
χ612222-122-12-2-1-22-1-1-12-1-1-12-21-1111-2-1110020-1-1-20001100000-2-2-2-21-2-21-2212-2111-2111-22-11-1-1-121-1-100-20112000-1-100000
χ622222-122-12-2-1-22-1-1-12-1-1-12-21-1111-2-11100-20112000-1-100000-2-2-2-21-2-21-2212-2111-2111-22-11-1-1-121-1-10020-1-1-20001100000
χ63222-12222-12-12-12-12-1-1-12-1-12-1-1-12-1-1-1-100020002-1-100-1-1000-2-2-21-2-2-2-21-21-21-21-2111-211-2111-21111000-2000-2110011000
χ64222-12222-12-12-12-12-1-1-12-1-12-1-1-12-1-1-1-1000-2000-2110011000-2-2-21-2-2-2-21-21-21-21-2111-211-2111-2111100020002-1-100-1-1000
χ65222-12222-1-2-1-2-12-12-1-1-12-11-2-111-21-1110002000-2-1-10011000-2-2-21-2-2-2-212121-21-2111-21-121-1-12-11-1-1000-200021100-1-1000
χ66222-12222-1-2-1-2-12-12-1-1-12-11-2-111-21-111000-200021100-1-1000-2-2-21-2-2-2-212121-21-2111-21-121-1-12-11-1-10002000-2-1-10011000
χ6722-2222-22222-2-2-22-2-2-2-22222-222-2-22-2-200000000000000000-2-22-2-2-22-2-2-2-2222-22222-2-2-2-22-2-222-22200000000000000000
χ6822-2222-222-222-2-22-2-2-2-222-2-2-2-2-22222200000000000000000-2-22-2-2-22-2-22-2-222-22222-2-222222-2-2-2-2-200000000000000000
χ6922-222-2222020-2-222222-2-200-20000-20022000000000000-200-2-22-2-22-2-2-20-2022-2-2-2-2-2220020000200-2-2000000000000200
χ7022-222-2222020-2-222222-2-200-20000-200-2-2000000000000200-2-22-2-22-2-2-20-2022-2-2-2-2-222002000020022000000000000-200
χ7122-22-12-2-122-1-2-21-11-211-122-11-1-11-2-1110000−i3i30000−i3i300000-2-22-21-221-2-2122-11-12-1-11-2-21-111-121-1-10000i3−i30000i3−i300000
χ7222-22-12-2-122-1-2-21-11-211-122-11-1-11-2-1110000i3−i30000i3−i300000-2-22-21-221-2-2122-11-12-1-11-2-21-111-121-1-10000−i3i30000−i3i300000
χ7322-22-12-2-12-2-12-21-11-211-12-21111-12-1-1-10000−i3i30000i3−i300000-2-22-21-221-221-22-11-12-1-11-22-1-1-1-11-21110000i3−i30000−i3i300000
χ7422-22-12-2-12-2-12-21-11-211-12-21111-12-1-1-10000i3−i30000−i3i300000-2-22-21-221-221-22-11-12-1-11-22-1-1-1-11-21110000−i3i30000i3−i300000
χ7522-2-122-22-12-1-21-2-1-21112-1-121-1-1-21-11100000000−i3i300−i3i3000-2-221-2-22-21-212-1212-1-1-1-211-2-1112-11-1-100000000i3−i300i3−i3000
χ7622-2-122-22-12-1-21-2-1-21112-1-121-1-1-21-11100000000i3−i300i3−i3000-2-221-2-22-21-212-1212-1-1-1-211-2-1112-11-1-100000000−i3i300−i3i3000
χ7722-2-122-22-1-2-121-2-1-21112-11-21112-1-1-1-100000000−i3i300i3−i3000-2-221-2-22-2121-2-1212-1-1-1-21-12-1-1-1-2111100000000i3−i300−i3i3000
χ7822-2-122-22-1-2-121-2-1-21112-11-21112-1-1-1-100000000i3−i300−i3i3000-2-221-2-22-2121-2-1212-1-1-1-21-12-1-1-1-2111100000000−i3i300i3−i3000
χ794444-2-4-4-240-204-2-22-4222-400-2000020000000000000000000-4-4-4-42442-4020-422-24-2-2-240020000-20000000000000000000
χ80444-24-4-44-20-20-24-2-4222-4200-2000020000000000000000000-4-4-42-444-420202-424-2-2-24-20020000-20000000000000000000
χ81444-2-244-2-2414-2-21-2-211-2-2-2-2111-2-211100000000000000000-4-4-422-4-422-4-1-422-122-1-12222-1-1-122-1-1-100000000000000000
χ82444-2-244-2-2-41-4-2-21-2-211-2-2221-1-1221-1-100000000000000000-4-4-422-4-4224-1422-122-1-122-2-2-111-2-2-11100000000000000000
χ83444-2-2-4-4-2-2010-2-2122-1-1220013-300-13-300000000000000000-4-4-42244220-1022-1-2-211-2-200-1-33001-3300000000000000000
χ84444-2-2-4-4-2-2010-2-2122-1-122001-3300-1-3300000000000000000-4-4-42244220-1022-1-2-211-2-200-13-30013-300000000000000000
χ8544-44-2-44-240-20-42-2-24-2-22-4002000020000000000000000000-4-44-424-42-40204-222-422-2400-20000-20000000000000000000
χ8644-4-24-444-20-202-4-24-2-2-2-42002000020000000000000000000-4-442-44-4-42020-242-42224-200-20000-20000000000000000000
χ8744-4-2-24-4-2-241-422122-1-1-2-2-2-2-111221-1-100000000000000000-4-4422-4422-4-14-2-2-1-2-21122221-1-1-2-2-11100000000000000000
χ8844-4-2-24-4-2-2-41422122-1-1-2-222-1-1-1-2-211100000000000000000-4-4422-44224-1-4-2-2-1-2-21122-2-211122-1-1-100000000000000000
χ8944-4-2-2-44-2-2010221-2-2112200-13-300-1-3300000000000000000-4-44224-4220-10-2-2-122-1-1-2-2001-330013-300000000000000000
χ9044-4-2-2-44-2-2010221-2-2112200-1-3300-13-300000000000000000-4-44224-4220-10-2-2-122-1-1-2-20013-3001-3300000000000000000
χ914-404400-4-404000-40000000000000000−2i22i2000000000000000-440-4-400440-4000400000000000000002i2−2i2000000000000000
χ924-404400-4-404000-400000000000000002i2−2i2000000000000000-440-4-400440-400040000000000000000−2i22i2000000000000000
χ938-808-4004-80-40004000000000000000000000000000000000-880-8400-4804000-4000000000000000000000000000000000
χ948-80-4800-840-40004000000000000000000000000000000000-8804-8008-404000-4000000000000000000000000000000000
χ958-80-4-4004402000-2006i−6i00000000000000000000000000000-8804400-4-40-2000200−6i6i00000000000000000000000000000
χ968-80-4-4004402000-200−6i6i00000000000000000000000000000-8804400-4-40-20002006i−6i00000000000000000000000000000

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