Finite Group Databasebeta

← Group #11921655

Character table — Group #11921655

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222666666666688881212121212121212121212121212121212161616161616161616162424242424363636363636484848487272
order1222344666121212124444448888366644488121212122424242424242424366612121212121226612124488881212121224
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
χ511111-1-1111-1-1-1-111-1-11111111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111-1-111-1-1-11
χ611111-1-1111-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1-11-1-11111-1-11-1
χ711111-1-1111-1-1-1-1-1-1111111111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-111-1-1111-1
χ811111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-11-111-1-1-1-111-11
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
χ1122222-2-2222-2-2-2-222-2-2220000-1-1-1-1-20000-2-22200000000-1-1-1-111111100000-220000-1-11100
χ1222222-2-2222-2-2-2-2-2-222220000-1-1-1-1-20000-2-22200000000-1-1-1-1111111000002-2000011-1-100
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
χ1722-2-222i−2i2-2-22i2i−2i−2i2-22i−2i0022−2−2-11-11000−i2i2000022−2−2−i2−i2i2i2-11-11i−iii−i−i00000002−2−i2i21-1i−i00
χ1822-2-222i−2i2-2-22i2i−2i−2i2-22i−2i00−2−222-11-11000i2−i20000−2−222i2i2−i2−i2-11-11i−iii−i−i0000000−22i2−i21-1i−i00
χ1922-2-222i−2i2-2-22i2i−2i−2i-22−2i2i0022−2−2-11-11000−i2i2000022−2−2−i2−i2i2i2-11-11i−iii−i−i0000000−22i2−i2-11−ii00
χ2022-2-222i−2i2-2-22i2i−2i−2i-22−2i2i00−2−222-11-11000i2−i20000−2−222i2i2−i2−i2-11-11i−iii−i−i00000002−2−i2i2-11−ii00
χ2122-2-22−2i2i2-2-2−2i−2i2i2i2-2−2i2i0022−2−2-11-11000i2−i2000022−2−2i2i2−i2−i2-11-11−ii−i−iii00000002−2i2−i21-1−ii00
χ2222-2-22−2i2i2-2-2−2i−2i2i2i2-2−2i2i00−2−222-11-11000−i2i20000−2−222−i2−i2i2i2-11-11−ii−i−iii0000000−22−i2i21-1−ii00
χ2322-2-22−2i2i2-2-2−2i−2i2i2i-222i−2i0022−2−2-11-11000i2−i2000022−2−2i2i2−i2−i2-11-11−ii−i−iii0000000−22−i2i2-11i−i00
χ2422-2-22−2i2i2-2-2−2i−2i2i2i-222i−2i00−2−222-11-11000−i2i20000−2−222−i2−i2i2i2-11-11−ii−i−iii00000002−2i2−i2-11i−i00
χ252-2-22200-22-200000000-222i−2i2i−2i22-2-202i−2i00002-22i−2i2i−2i000022-2-20000000002i−2i000000000000
χ262-2-22200-22-200000000-22−2i2i−2i2i22-2-20−2i2i00002-2−2i2i−2i2i000022-2-2000000000−2i2i000000000000
χ272-2-22-1001-113−33−30000-222i−2i2i−2i22-2-202i−2i003−3-11−ii−ii−i3i3−i3i3-1-111003−33−30−i3i3−ii000000000000
χ282-2-22-1001-113−33−30000-22−2i2i−2i2i22-2-20−2i2i003−3-11i−ii−ii3−i3i3−i3-1-111003−33−30i3−i3i−i000000000000
χ292-2-22-1001-11−33−330000-222i−2i2i−2i22-2-202i−2i00−33-11−ii−iii3−i3i3−i3-1-11100−33−330i3−i3−ii000000000000
χ302-2-22-1001-11−33−330000-22−2i2i−2i2i22-2-20−2i2i00−33-11i−ii−i−i3i3−i3i3-1-11100−33−330−i3i3i−i000000000000
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
χ3533333-3-3333-3-3-3-333-3-3-1-1111100001-1-1-1-111-1-11111-1-1-1-10000000000111-1-11-111-1-100001-1
χ3633333-3-3333-3-3-3-333-3-3-1-1-1-1-1-100001111111-1-1-1-1-1-111110000000000-1-1-1111-1-1-1110000-11
χ3733333-3-3333-3-3-3-3-3-333-1-1111100001-1-1-1-111-1-11111-1-1-1-10000000000111-1-1-11-1-1110000-11
χ3833333-3-3333-3-3-3-3-3-333-1-1-1-1-1-100001111111-1-1-1-1-1-111110000000000-1-1-111-1111-1-100001-1
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
χ4144-4-444i−4i4-4-44i4i−4i−4i4-44i−4i0000001-11-1000000000000000001-11-1−ii−i−iii00000000000-11−ii00
χ4244-4-444i−4i4-4-44i4i−4i−4i-44−4i4i0000001-11-1000000000000000001-11-1−ii−i−iii000000000001-1i−i00
χ4344-4-44−4i4i4-4-4−4i−4i4i4i4-4−4i4i0000001-11-1000000000000000001-11-1i−iii−i−i00000000000-11i−i00
χ4444-4-44−4i4i4-4-4−4i−4i4i4i-444i−4i0000001-11-1000000000000000001-11-1i−iii−i−i000000000001-1−ii00
χ4544-4-4-24i−4i-222−2i−2i2i2i0000002222−22−22-22-22000−2i22i20000−2−222i2i2−i2−i21-11-12i−2i−i−iii00000000000000000
χ4644-4-4-24i−4i-222−2i−2i2i2i000000−22−222222-22-220002i2−2i2000022−2−2−i2−i2i2i21-11-12i−2i−i−iii00000000000000000
χ4744-4-4-2−4i4i-2222i2i−2i−2i0000002222−22−22-22-220002i2−2i20000−2−222−i2−i2i2i21-11-1−2i2iii−i−i00000000000000000
χ4844-4-4-2−4i4i-2222i2i−2i−2i000000−22−222222-22-22000−2i22i2000022−2−2i2i2−i2−i21-11-1−2i2iii−i−i00000000000000000
χ494-44-4400-4-440000000000−2i22i22i2−2i2-222-2000000000−2i22i22i2−2i20000-222-200000000000000000000000
χ504-44-4400-4-4400000000002i2−2i2−2i22i2-222-20000000002i2−2i2−2i22i20000-222-200000000000000000000000
χ514-44-4-20022-2−2i32i32i3−2i3000000−2i22i22i2−2i2-222-2000000000i2−i2−i2i2−666−61-1-1100−i3i3i3−i300000000000000000
χ524-44-4-20022-2−2i32i32i3−2i30000002i2−2i2−2i22i2-222-2000000000−i2i2i2−i26−6−661-1-1100−i3i3i3−i300000000000000000
χ534-44-4-20022-22i3−2i3−2i32i3000000−2i22i22i2−2i2-222-2000000000i2−i2−i2i26−6−661-1-1100i3−i3−i3i300000000000000000
χ544-44-4-20022-22i3−2i3−2i32i30000002i2−2i2−2i22i2-222-2000000000−i2i2i2−i2−666−61-1-1100i3−i3−i3i300000000000000000
χ554-4-44400-44-400000000-440000-2-22200000004-400000000-2-22200000000000000000000000
χ564-4-44-2002-2223−2323−230000-440000-2-2220000023−23-220000000011-1-100−33−3300000000000000000
χ574-4-44-2002-22−2323−23230000-440000-2-22200000−2323-220000000011-1-1003−33−300000000000000000
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
χ626-6-66600-66-6000000002-22i−2i2i−2i00000−2i2i0000-222i−2i2i−2i00000000000000000−2i2i000000000000
χ636-6-66600-66-6000000002-2−2i2i−2i2i000002i−2i0000-22−2i2i−2i2i000000000000000002i−2i000000000000
χ646-6-66-3003-3333−3333−3300002-22i−2i2i−2i00000−2i2i00−331-1−ii−ii−i3i3−i3i300000000000i3−i3i−i000000000000
χ656-6-66-3003-3333−3333−3300002-2−2i2i−2i2i000002i−2i00−331-1i−ii−ii3−i3i3−i300000000000−i3i3−ii000000000000
χ666-6-66-3003-33−3333−333300002-22i−2i2i−2i00000−2i2i003−31-1−ii−iii3−i3i3−i300000000000−i3i3i−i000000000000
χ676-6-66-3003-33−3333−333300002-2−2i2i−2i2i000002i−2i003−31-1i−ii−i−i3i3−i3i300000000000i3−i3−ii000000000000
χ6888-8-8-48i−8i-444−4i−4i4i4i00000000002-22-200000000000000000-11-11−2i2iii−i−i00000000000000000
χ6988-8-8-4−8i8i-4444i4i−4i−4i00000000002-22-200000000000000000-11-112i−2i−i−iii00000000000000000
χ708-88-8800-8-88000000000000002-2-22000000000000000002-2-2200000000000000000000000
χ718-88-8-40044-4−4i34i34i3−4i300000000002-2-2200000000000000000-111-100i3−i3−i3i300000000000000000
χ728-88-8-40044-44i3−4i3−4i34i300000000002-2-2200000000000000000-111-100−i3i3i3−i300000000000000000

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