Finite Group Databasebeta

← Group #11921680

Character table — Group #11921680

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222666666666688881212121212121212121212121212121212161616161616161616162424242424363636363636484848487272
order1222344666121212122244448888366644488121212122424242424242424366612121212121241212121224888866121244
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
χ511111-1-1111-1-1-1-111-1-11111111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-11
χ611111-1-1111-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11-1-111-11-1-11111-1-11-1
χ711111-1-1111-1-1-1-1-1-1111111111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-1-111-1-1111-1
χ811111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1111-111-1-1-1-111-11
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
χ152222-1-2-2-1-1-1111100002222222222-222-2-211-1-1-1-1-1-11111-1-1-1-1-2-21111-2-1-111000000000000
χ162222-1-2-2-1-1-11111000022-2-2-2-22222-2-2-22211-1-11111-1-1-1-1-1-1-1-1-2-21111211-1-1000000000000
χ172-22-2200-22-2000000002-22i2i−2i−2i2-2-2202i−2i00002-22i2i−2i−2i000022-2-200000002i−2i00000000000000
χ182-22-2200-22-2000000002-2−2i−2i2i2i2-2-220−2i2i00002-2−2i−2i2i2i000022-2-20000000−2i2i00000000000000
χ192-22-2-1001-1133−3−300002-22i2i−2i−2i2-2-2202i−2i003−3-11−i−iii−i3−i3i3i3-1-1110033−3−30−ii−i3i3000000000000
χ202-22-2-1001-1133−3−300002-2−2i−2i2i2i2-2-220−2i2i003−3-11ii−i−ii3i3−i3−i3-1-1110033−3−30i−ii3−i3000000000000
χ212-22-2-1001-11−3−33300002-22i2i−2i−2i2-2-2202i−2i00−33-11−i−iiii3i3−i3−i3-1-11100−3−3330−iii3−i3000000000000
χ222-22-2-1001-11−3−33300002-2−2i−2i2i2i2-2-220−2i2i00−33-11ii−i−i−i3−i3i3i3-1-11100−3−3330i−i−i3i3000000000000
χ232-2-2222i−2i-2-222i−2i2i−2i2-22i−2i00−i2i2−i2i2-1-1110002−20000−i2i2−i2i22−22−2-11-11i−ii−ii−i0000000−i2i22−21-1i−i00
χ242-2-2222i−2i-2-222i−2i2i−2i2-22i−2i00i2−i2i2−i2-1-111000−220000i2−i2i2−i2−22−22-11-11i−ii−ii−i0000000i2−i2−221-1i−i00
χ252-2-2222i−2i-2-222i−2i2i−2i-22−2i2i00−i2i2−i2i2-1-1110002−20000−i2i2−i2i22−22−2-11-11i−ii−ii−i0000000i2−i2−22-11−ii00
χ262-2-2222i−2i-2-222i−2i2i−2i-22−2i2i00i2−i2i2−i2-1-111000−220000i2−i2i2−i2−22−22-11-11i−ii−ii−i0000000−i2i22−2-11−ii00
χ272-2-222−2i2i-2-22−2i2i−2i2i2-2−2i2i00−i2i2−i2i2-1-111000−220000−i2i2−i2i2−22−22-11-11−ii−ii−ii0000000−i2i2−221-1−ii00
χ282-2-222−2i2i-2-22−2i2i−2i2i2-2−2i2i00i2−i2i2−i2-1-1110002−20000i2−i2i2−i22−22−2-11-11−ii−ii−ii0000000i2−i22−21-1−ii00
χ292-2-222−2i2i-2-22−2i2i−2i2i-222i−2i00−i2i2−i2i2-1-111000−220000−i2i2−i2i2−22−22-11-11−ii−ii−ii0000000i2−i22−2-11i−i00
χ302-2-222−2i2i-2-22−2i2i−2i2i-222i−2i00i2−i2i2−i2-1-1110002−20000i2−i2i2−i22−22−2-11-11−ii−ii−ii0000000−i2i2−22-11i−i00
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
χ3533333-3-3333-3-3-3-333-3-3-1-1111100001-1-1-1-111-1-11111-1-1-1-100000000001-1-1111-111-1-100001-1
χ3633333-3-3333-3-3-3-333-3-3-1-1-1-1-1-100001111111-1-1-1-1-1-111110000000000-111-1-11-1-1-1110000-11
χ3733333-3-3333-3-3-3-3-3-333-1-1111100001-1-1-1-111-1-11111-1-1-1-100000000001-1-111-11-1-1110000-11
χ3833333-3-3333-3-3-3-3-3-333-1-1-1-1-1-100001111111-1-1-1-1-1-111110000000000-111-1-1-1111-1-100001-1
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
χ4144-4-44004-4-4000000000022−22−2222-22-2200000000022−22−22220000-222-200000000000000000000000
χ4244-4-44004-4-40000000000−222222−22-22-22000000000−222222−220000-222-200000000000000000000000
χ4344-4-4-200-222−2i32i32i3−2i300000022−22−2222-22-22000000000−222−2i6−i6−i6i61-1-1100−i3i3i3−i300000000000000000
χ4444-4-4-200-222−2i32i32i3−2i3000000−222222−22-22-220000000002−2−22−i6i6i6−i61-1-1100−i3i3i3−i300000000000000000
χ4544-4-4-200-2222i3−2i3−2i32i300000022−22−2222-22-22000000000−222−2−i6i6i6−i61-1-1100i3−i3−i3i300000000000000000
χ4644-4-4-200-2222i3−2i3−2i32i3000000−222222−22-22-220000000002−2−22i6−i6−i6i61-1-1100i3−i3−i3i300000000000000000
χ474-44-4400-44-4000000004-40000-222-200000004-400000000-2-22200000000000000000000000
χ484-44-4-2002-222323−23−2300004-40000-222-20000023−23-220000000011-1-100−3−33300000000000000000
χ494-44-4-2002-22−23−23232300004-40000-222-200000−2323-220000000011-1-10033−3−300000000000000000
χ504-4-4444i−4i-4-444i−4i4i−4i4-44i−4i00000011-1-1000000000000000001-11-1−ii−ii−ii00000000000-11−ii00
χ514-4-4444i−4i-4-444i−4i4i−4i-44−4i4i00000011-1-1000000000000000001-11-1−ii−ii−ii000000000001-1i−i00
χ524-4-444−4i4i-4-44−4i4i−4i4i4-4−4i4i00000011-1-1000000000000000001-11-1i−ii−ii−i00000000000-11i−i00
χ534-4-444−4i4i-4-44−4i4i−4i4i-444i−4i00000011-1-1000000000000000001-11-1i−ii−ii−i000000000001-1−ii00
χ544-4-44-24i−4i22-2−2i2i−2i2i000000−2i22i2−2i22i2-2-22200022−220000i2−i2i2−i2−22−221-11-12i−2i−ii−ii00000000000000000
χ554-4-44-24i−4i22-2−2i2i−2i2i0000002i2−2i22i2−2i2-2-222000−22220000−i2i2−i2i22−22−21-11-12i−2i−ii−ii00000000000000000
χ564-4-44-2−4i4i22-22i−2i2i−2i000000−2i22i2−2i22i2-2-222000−22220000i2−i2i2−i22−22−21-11-1−2i2ii−ii−i00000000000000000
χ574-4-44-2−4i4i22-22i−2i2i−2i0000002i2−2i22i2−2i2-2-22200022−220000−i2i2−i2i2−22−221-11-1−2i2ii−ii−i00000000000000000
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
χ606666-3-6-6-3-3-333330000-2-2222200002-2-2-2-2-1-111-1-1-1-111110000000000211-1-1000000000000
χ616666-3-6-6-3-3-333330000-2-2-2-2-2-2000022222-1-1111111-1-1-1-10000000000-2-1-111000000000000
χ626-66-6600-66-600000000-222i2i−2i−2i00000−2i2i0000-222i2i−2i−2i000000000000000−2i2i00000000000000
χ636-66-6600-66-600000000-22−2i−2i2i2i000002i−2i0000-22−2i−2i2i2i0000000000000002i−2i00000000000000
χ646-66-6-3003-333333−33−330000-222i2i−2i−2i00000−2i2i00−331-1−i−iii−i3−i3i3i300000000000i−ii3−i3000000000000
χ656-66-6-3003-333333−33−330000-22−2i−2i2i2i000002i−2i00−331-1ii−i−ii3i3−i3−i300000000000−ii−i3i3000000000000
χ666-66-6-3003-33−33−3333330000-222i2i−2i−2i00000−2i2i003−31-1−i−iiii3i3−i3−i300000000000i−i−i3i3000000000000
χ676-66-6-3003-33−33−3333330000-22−2i−2i2i2i000002i−2i003−31-1ii−i−i−i3−i3i3i300000000000−iii3−i3000000000000
χ6888-8-88008-8-8000000000000002-22-2000000000000000002-2-2200000000000000000000000
χ6988-8-8-400-444−4i34i34i3−4i300000000002-22-200000000000000000-111-100i3−i3−i3i300000000000000000
χ7088-8-8-400-4444i3−4i3−4i34i300000000002-22-200000000000000000-111-100−i3i3i3−i300000000000000000
χ718-8-88-48i−8i44-4−4i4i−4i4i000000000022-2-200000000000000000-11-11−2i2ii−ii−i00000000000000000
χ728-8-88-4−8i8i44-44i−4i4i−4i000000000022-2-200000000000000000-11-112i−2i−ii−ii00000000000000000

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