Finite Group Databasebeta

← Group #11872691

Character table — Group #11872691

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244233466666666121212121212444444441212121261244442444661212121212121212448888121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ5111111-111-1111111-1-111-1-11111-1-111-1-11111-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ6111111-111-1111111-1-111-1-11111-1-111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111-111-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-111
χ8111111-111-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-1111-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1111-11-1111111-1-1-1-1-1111-1-1-111-1
χ101111-1-1111-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-11-11-1-11111-1-111-11-1-1111-1-11
χ111111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1111-11-111-1-1-1-111-1-1-11-1-111-11-11
χ121111-1-1111-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-11-11-1-1-1-1-1-11111-1111-1-11-11-1
χ131111-1-1-1111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-11-1-1111-1-111111-1-111-1-11-111-1-11-1-11
χ141111-1-1-1111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-11-1-111-111-1-1-111-1-111111-1-1-111-111-1
χ151111-1-1-1111111111-1-1-1-111-1-1-1-11111-1-11111-11-1-1111-1-1111-1-111-1-1-1-11-1-1-1111-11-1
χ161111-1-1-1111111111-1-1-1-111-1-1-1-11111-1-11111-11-1-111-111-1-1-1-1-111-1-1111-111-1-1-11-11
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ18222222-222-2222222-2-222-2-222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-2222-222222222-2-2-2-2-2-20000000000002-222-2-2000000000000002-200000000
χ202222-2-2-2222222222-2-2-2-222-2-2000000000000-2222-2-200000000000000-2200000000
χ212-2-222i−2i0220-22-2-22-2002i−2i002i−2i002i−2i002-20000002i−2i2-2000000002i−2i2-2000000000000
χ222-2-222i−2i0220-22-2-22-2002i−2i002i−2i00−2i2i00-220000002i−2i2-200000000−2i2i-22000000000000
χ232-2-222i−2i0220-22-2-22-2002i−2i002i−2i2i−2i002-20022-2-200−2i2i-220000002i−2i0000000000000000
χ242-2-222i−2i0220-22-2-22-2002i−2i002i−2i−2i2i00-2200-2-22200−2i2i-22000000−2i2i0000000000000000
χ252-2-22−2i2i0220-22-2-22-200−2i2i00−2i2i002i−2i00-22000000−2i2i2-2000000002i−2i-22000000000000
χ262-2-22−2i2i0220-22-2-22-200−2i2i00−2i2i00−2i2i002-2000000−2i2i2-200000000−2i2i2-2000000000000
χ272-2-22−2i2i0220-22-2-22-200−2i2i00−2i2i2i−2i00-2200-2-222002i−2i-220000002i−2i0000000000000000
χ282-2-22−2i2i0220-22-2-22-200−2i2i00−2i2i−2i2i002-20022-2-2002i−2i-22000000−2i2i0000000000000000
χ2944444441-24-2-2111-2111111-2-222222222-1-1-1-1-2-20000000000-1-1-1-1-1-1000000000000
χ3044444441-24-2-2111-2111111-2-2-2-2-2-2-2-2-2-21111-2-20000000000111111000000000000
χ314444444-21411-2-2-21-2-2-2-2-2-2110000000000001100002222-1-1000000-1-1000000-1-100
χ324444444-21411-2-2-21-2-2-2-2-2-211000000000000110000-2-2-2-211000000110000001100
χ33444444-41-2-4-2-2111-2-1-111-1-1-2-222-2-222-2-2-1-1-1-1220000000000-1-11111000000000000
χ34444444-41-2-4-2-2111-2-1-111-1-1-2-2-2-222-2-222111122000000000011-1-1-1-1000000000000
χ35444444-4-21-411-2-2-2122-2-22211000000000000-1-1000022-2-2-1-1000000-1-10000001100
χ36444444-4-21-411-2-2-2122-2-22211000000000000-1-10000-2-2221100000011000000-1-100
χ374444-4-441-2-4-2-2111-211-1-1-1-1222222-2-2-2-21111-220000000000-1-1-1-111000000000000
χ384444-4-441-2-4-2-2111-211-1-1-1-122-2-2-2-22222-1-1-1-1-2200000000001111-1-1000000000000
χ394444-4-44-21-411-2-2-21-2-22222-1-10000000000001-100002-22-2-1-1000000110000001-100
χ404444-4-44-21-411-2-2-21-2-22222-1-10000000000001-10000-22-2211000000-1-1000000-1100
χ414444-4-4-41-24-2-2111-2-1-1-1-1112222-2-2-2-22211112-20000000000-1-111-1-1000000000000
χ424444-4-4-41-24-2-2111-2-1-1-1-11122-2-22222-2-2-1-1-1-12-2000000000011-1-111000000000000
χ434444-4-4-4-21411-2-2-212222-2-2-1-1000000000000-1100002-2-22-1-100000011000000-1100
χ444444-4-4-4-21411-2-2-212222-2-2-1-1000000000000-110000-222-211000000-1-10000001-100
χ4544-4-40004404-44-4-4-400000000000000000000000000000000000000000022−22000000
χ4644-4-40004404-44-4-4-4000000000000000000000000000000000000000000−2222000000
χ474-44-4000440-4-4-44-4400000000000000000000000000000000000000000000−2i22i20000
χ484-44-4000440-4-4-44-44000000000000000000000000000000000000000000002i2−2i20000
χ494-4-444i−4i01-202-2-1-1123-3i−i3i−3i−2i2i2i−2i2i−2i2-22-2-1-111000000000000−ii−ii-11000000000000
χ504-4-444i−4i01-202-2-1-1123-3i−i3i−3i−2i2i−2i2i−2i2i-22-2211-1-1000000000000i−ii−i1-1000000000000
χ514-4-444i−4i01-202-2-1-112-33i−i−3i3i−2i2i2i−2i−2i2i2-2-22-1-111000000000000−iii−i1-1000000000000
χ524-4-444i−4i01-202-2-1-112-33i−i−3i3i−2i2i−2i2i2i−2i-222-211-1-1000000000000i−i−ii-11000000000000
χ534-4-44−4i4i01-202-2-1-1123-3−ii−3i3i2i−2i2i−2i2i−2i-22-2211-1-1000000000000−ii−ii1-1000000000000
χ544-4-44−4i4i01-202-2-1-1123-3−ii−3i3i2i−2i−2i2i−2i2i2-22-2-1-111000000000000i−ii−i-11000000000000
χ554-4-44−4i4i01-202-2-1-112-33−ii3i−3i2i−2i2i−2i−2i2i-222-211-1-1000000000000−iii−i-11000000000000
χ564-4-44−4i4i01-202-2-1-112-33−ii3i−3i2i−2i−2i2i2i−2i2-2-22-1-111000000000000i−i−ii1-1000000000000
χ5788-8-80002-40-442-2-24000000000000000023−2323−23000000000000000000000000000000
χ5888-8-80002-40-442-2-240000000000000000−2323−2323000000000000000000000000000000
χ5988-8-8000-4202-2-444-20000000000000000000000000000000000000023−230000000000
χ6088-8-8000-4202-2-444-200000000000000000000000000000000000000−23230000000000
χ618-88-80002-4044-22-2-4000000000000000023−23−2323000000000000000000000000000000
χ628-88-80002-4044-22-2-40000000000000000−232323−23000000000000000000000000000000
χ638-88-8000-420-2-24-442000000000000000000000000000000−2i32i3000000000000000000
χ648-88-8000-420-2-24-4420000000000000000000000000000002i3−2i3000000000000000000
χ658-8-888i−8i0-420-2244-4-200−4i4i002i−2i000000000000000000000000000000000000000000
χ668-8-88−8i8i0-420-2244-4-2004i−4i00−2i2i000000000000000000000000000000000000000000

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