Finite Group Databasebeta

← Group #11921673

Character table — Group #11921673

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222666666666688881212121212121212121212121212121212161616161616161616162424242424363636363636484848487272
order122234466612121212222244888836664448812121212242424242424242436661212121212122661212448888666644
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11111-1-1
χ311111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-111
χ511111-1-1111-1-1-1-111-1-11111111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-111-1-111-1-11-1
χ611111-1-1111-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-11-1-1-11111-1-1-11
χ711111-1-1111-1-1-1-1-1-1111111111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-111-1-111-11
χ811111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1111-1-1-1-1111-1
χ9222222222222222222220000-1-1-1-120000222200000000-1-1-1-1-1-1-1-1-1-100000220000-1-1-1-100
χ1022222222222222-2-2-2-2220000-1-1-1-120000222200000000-1-1-1-1-1-1-1-1-1-100000-2-20000111100
χ1122222-2-2222-2-2-2-222-2-2220000-1-1-1-1-20000-2-22200000000-1-1-1-1111111000002-20000-1-11100
χ1222222-2-2222-2-2-2-2-2-222220000-1-1-1-1-20000-2-22200000000-1-1-1-111111100000-22000011-1-100
χ132222-122-1-1-1-1-1-1-10000222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-1000000000000
χ142222-122-1-1-1-1-1-1-1000022-2-2-2-222222-2-2-2-2-1-1-1-111111111-1-1-1-122-1-1-1-1-21111000000000000
χ152222-1-2-2-1-1-1111100002222222222-222-2-211-1-1-1-1-1-11111-1-1-1-1-2-21111-211-1-1000000000000
χ162222-1-2-2-1-1-11111000022-2-2-2-22222-2-2-22211-1-11111-1-1-1-1-1-1-1-1-2-211112-1-111000000000000
χ172-22-22002-2-2000000002-22i2i−2i−2i22-2-202i−2i00002-22i2i−2i−2i000022-2-20000000002i−2i000000000000
χ182-22-22002-2-2000000002-2−2i−2i2i2i22-2-20−2i2i00002-2−2i−2i2i2i000022-2-2000000000−2i2i000000000000
χ192-22-2-100-11133−3−300002-22i2i−2i−2i22-2-202i−2i003−3-11−i−iii−i3−i3i3i3-1-1110033−3−30−i3i3−ii000000000000
χ202-22-2-100-11133−3−300002-2−2i−2i2i2i22-2-20−2i2i003−3-11ii−i−ii3i3−i3−i3-1-1110033−3−30i3−i3i−i000000000000
χ212-22-2-100-111−3−33300002-22i2i−2i−2i22-2-202i−2i00−33-11−i−iiii3i3−i3−i3-1-11100−3−3330i3−i3−ii000000000000
χ222-22-2-100-111−3−33300002-2−2i−2i2i2i22-2-20−2i2i00−33-11ii−i−i−i3−i3i3i3-1-11100−3−3330−i3i3i−i000000000000
χ232-2-2222-2-2-222-22-22-22-200−i2i2−i2i2-111-1000−i2i20000−i2i2−i2i2−i2i2−i2i2-111-11-11-11-10000000−i2i2−i2i21-11-100
χ242-2-2222-2-2-222-22-22-22-200i2−i2i2−i2-111-1000i2−i20000i2−i2i2−i2i2−i2i2−i2-111-11-11-11-10000000i2−i2i2−i21-11-100
χ252-2-2222-2-2-222-22-2-22-2200−i2i2−i2i2-111-1000−i2i20000−i2i2−i2i2−i2i2−i2i2-111-11-11-11-10000000i2−i2i2−i2-11-1100
χ262-2-2222-2-2-222-22-2-22-2200i2−i2i2−i2-111-1000i2−i20000i2−i2i2−i2i2−i2i2−i2-111-11-11-11-10000000−i2i2−i2i2-11-1100
χ272-2-222-22-2-22-22-222-2-2200−i2i2−i2i2-111-1000i2−i20000−i2i2−i2i2i2−i2i2−i2-111-1-11-11-110000000−i2i2i2−i21-1-1100
χ282-2-222-22-2-22-22-222-2-2200i2−i2i2−i2-111-1000−i2i20000i2−i2i2−i2−i2i2−i2i2-111-1-11-11-110000000i2−i2−i2i21-1-1100
χ292-2-222-22-2-22-22-22-222-200−i2i2−i2i2-111-1000i2−i20000−i2i2−i2i2i2−i2i2−i2-111-1-11-11-110000000i2−i2−i2i2-111-100
χ302-2-222-22-2-22-22-22-222-200i2−i2i2−i2-111-1000−i2i20000i2−i2i2−i2−i2i2−i2i2-111-1-11-11-110000000−i2i2i2−i2-111-100
χ31333333333333333333-1-111110000-1-1-111-1-1-1-1111111110000000000-1-1-1-1-1-1-111110000-1-1
χ32333333333333333333-1-1-1-1-1-10000-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111-1-1-1-1-1-1000011
χ3333333333333333-3-3-3-3-1-111110000-1-1-111-1-1-1-1111111110000000000-1-1-1-1-111-1-1-1-1000011
χ3433333333333333-3-3-3-3-1-1-1-1-1-10000-111-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111111110000-1-1
χ3533333-3-3333-3-3-3-333-3-3-1-1111100001-1-1-1-111-1-11111-1-1-1-10000000000111-1-1-1111-1-10000-11
χ3633333-3-3333-3-3-3-333-3-3-1-1-1-1-1-100001111111-1-1-1-1-1-111110000000000-1-1-111-11-1-11100001-1
χ3733333-3-3333-3-3-3-3-3-333-1-1111100001-1-1-1-111-1-11111-1-1-1-10000000000111-1-11-1-1-11100001-1
χ3833333-3-3333-3-3-3-3-3-333-1-1-1-1-1-100001111111-1-1-1-1-1-111110000000000-1-1-1111-111-1-10000-11
χ394444-244-2-2-2-2-2-2-20000440000-2-2-2-240000-2-2-2-2000000001111-2-2111100000000000000000
χ404444-2-4-4-2-2-222220000440000-2-2-2-2-4000022-2-200000000111122-1-1-1-100000000000000000
χ4144-4-4400-44-4000000000022−22−2222-22-2200000000022−22−22220000-22-2200000000000000000000000
χ4244-4-4400-44-40000000000−222222−22-22-22000000000−222222−220000-22-2200000000000000000000000
χ4344-4-4-2002-2223−23−232300000022−22−2222-22-22000000000−222−2−666−61-11-1003−3−3300000000000000000
χ4444-4-4-2002-2223−23−2323000000−222222−22-22-220000000002−2−226−6−661-11-1003−3−3300000000000000000
χ4544-4-4-2002-22−232323−2300000022−22−2222-22-22000000000−222−26−6−661-11-100−333−300000000000000000
χ4644-4-4-2002-22−232323−23000000−222222−22-22-220000000002−2−22−666−61-11-100−333−300000000000000000
χ474-44-44004-4-4000000004-40000-2-22200000004-400000000-2-22200000000000000000000000
χ484-44-4-200-2222323−23−2300004-40000-2-2220000023−23-220000000011-1-100−3−33300000000000000000
χ494-44-4-200-222−23−23232300004-40000-2-22200000−2323-220000000011-1-10033−3−300000000000000000
χ504-4-4444-4-4-444-44-44-44-40000001-1-11000000000000000001-1-11-11-11-1100000000000-11-1100
χ514-4-4444-4-4-444-44-4-44-440000001-1-11000000000000000001-1-11-11-11-11000000000001-11-100
χ524-4-444-44-4-44-44-444-4-440000001-1-11000000000000000001-1-111-11-11-100000000000-111-100
χ534-4-444-44-4-44-44-44-444-40000001-1-11000000000000000001-1-111-11-11-1000000000001-1-1100
χ544-4-44-24-422-2-22-22000000−2i22i2−2i22i2-222-2000−2i22i20000i2−i2i2−i2i2−i2i2−i21-1-112-2-11-1100000000000000000
χ554-4-44-24-422-2-22-220000002i2−2i22i2−2i2-222-20002i2−2i20000−i2i2−i2i2−i2i2−i2i21-1-112-2-11-1100000000000000000
χ564-4-44-2-4422-22-22-2000000−2i22i2−2i22i2-222-20002i2−2i20000i2−i2i2−i2−i2i2−i2i21-1-11-221-11-100000000000000000
χ574-4-44-2-4422-22-22-20000002i2−2i22i2−2i2-222-2000−2i22i20000−i2i2−i2i2i2−i2i2−i21-1-11-221-11-100000000000000000
χ586666-366-3-3-3-3-3-3-30000-2-222220000-2-2-2221111-1-1-1-1-1-1-1-10000000000-21111000000000000
χ596666-366-3-3-3-3-3-3-30000-2-2-2-2-2-20000-222-2-211111111111100000000002-1-1-1-1000000000000
χ606666-3-6-6-3-3-333330000-2-2222200002-2-2-2-2-1-111-1-1-1-1111100000000002-1-111000000000000
χ616666-3-6-6-3-3-333330000-2-2-2-2-2-2000022222-1-1111111-1-1-1-10000000000-211-1-1000000000000
χ626-66-66006-6-600000000-222i2i−2i−2i00000−2i2i0000-222i2i−2i−2i00000000000000000−2i2i000000000000
χ636-66-66006-6-600000000-22−2i−2i2i2i000002i−2i0000-22−2i−2i2i2i000000000000000002i−2i000000000000
χ646-66-6-300-3333333−33−330000-222i2i−2i−2i00000−2i2i00−331-1−i−iii−i3−i3i3i300000000000i3−i3i−i000000000000
χ656-66-6-300-3333333−33−330000-22−2i−2i2i2i000002i−2i00−331-1ii−i−ii3i3−i3−i300000000000−i3i3−ii000000000000
χ666-66-6-300-333−33−3333330000-222i2i−2i−2i00000−2i2i003−31-1−i−iiii3i3−i3−i300000000000−i3i3i−i000000000000
χ676-66-6-300-333−33−3333330000-22−2i−2i2i2i000002i−2i003−31-1ii−i−i−i3−i3i3i300000000000i3−i3−ii000000000000
χ6888-8-8800-88-8000000000000002-22-2000000000000000002-22-200000000000000000000000
χ6988-8-8-4004-4443−43−434300000000002-22-200000000000000000-11-1100−333−300000000000000000
χ7088-8-8-4004-44−434343−4300000000002-22-200000000000000000-11-11003−3−3300000000000000000
χ718-8-88-48-844-4-44-4400000000002-2-2200000000000000000-111-1-221-11-100000000000000000
χ728-8-88-4-8844-44-44-400000000002-2-2200000000000000000-111-12-2-11-1100000000000000000

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