Finite Group Databasebeta

← Group #11922533

Character table — Group #11922533

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222333344466666688881212121212121212161616161616161616161818242424242424242424243636363636484848487272
order122236662222266446666366624444466366666666644441212121212121212224441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1
χ3111111111111111-1-1111111111-11111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ5111111111111-1-1-11111111111-1-11111-1-11-1-1111-1-1-1-111-1-111-1-111-1-111-11111-1-1-1-1
χ6111111111111-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-111-1-111-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1-111111111-111111-1-11-1-1111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-1-11111
χ8111111111111-1-1-1-1-111111111-11-1-1-1-1-1-11-1-1111-1-1-1-1-1-111-1-111-1-11111111-1-111-1-1
χ9222222222222222222222-1-1-1-122000022-1-1-1-1-1-1-1-1-1-122000000000000200-1-1-1-100
χ10222222222222222-2-22222-1-1-1-12-2000022-1-1-1-1-1-1-1-1-1-1-2-2000000000000-200111100
χ11222222222222-2-2-2222222-1-1-1-1-2-20000-2-2-111-1-1-1111122000000000000-200-1-11100
χ12222222222222-2-2-2-2-22222-1-1-1-1-220000-2-2-111-1-1-11111-2-200000000000020011-1-100
χ132222-1-1-1-122222-1-100-1-1-1-12222202222-1-1-122-1-1-1-1-1-1-10022-1-1-1-1-1-1-1-100000000000
χ142222-1-1-1-122222-1-100-1-1-1-1222220-2-2-2-2-1-1-122-1-1-1-1-1-1-100-2-21111111100000000000
χ152222-1-1-1-12222-21100-1-1-1-12222-20222211-1-2-2-1-1-1111100-2-2-1-111-1-11100000000000
χ162222-1-1-1-12222-21100-1-1-1-12222-20-2-2-2-211-1-2-2-1-1-11111002211-1-111-1-100000000000
χ1722-2-22-22-2-222-20002i−2i2-22-222-2-2000000002002-2-200002i−2i0000000000000002i−2i0000
χ1822-2-22-22-2-222-20002i−2i2-22-2-1-11100000000-1−i3i3-111−i3−i3i3i32i−2i000000000000000−ii3−300
χ1922-2-22-22-2-222-20002i−2i2-22-2-1-11100000000-1i3−i3-111i3i3−i3−i32i−2i000000000000000−ii−3300
χ2022-2-22-22-2-222-2000−2i2i2-22-222-2-2000000002002-2-20000−2i2i000000000000000−2i2i0000
χ2122-2-22-22-2-222-2000−2i2i2-22-2-1-11100000000-1−i3i3-111−i3−i3i3i3−2i2i000000000000000i−i−3300
χ2222-2-22-22-2-222-2000−2i2i2-22-2-1-11100000000-1i3−i3-111i3i3−i3−i3−2i2i000000000000000i−i3−300
χ232-22-222-2-22-22-20000022-2-22-22-2002i−2i2i−2i00200-22-2000000002i−2i002i−2i0000000000000
χ242-22-222-2-22-22-20000022-2-22-22-200−2i2i−2i2i00200-22-200000000−2i2i00−2i2i0000000000000
χ252-22-2-1-1112-22-20−i3i300-1-1112-22-2002i−2i2i−2i−i3i3-1001-11−i3i3−i3i30000−ii3−3−ii3−300000000000
χ262-22-2-1-1112-22-20−i3i300-1-1112-22-200−2i2i−2i2i−i3i3-1001-11−i3i3−i3i30000i−i−33i−i−3300000000000
χ272-22-2-1-1112-22-20i3−i300-1-1112-22-2002i−2i2i−2ii3−i3-1001-11i3−i3i3−i30000−ii−33−ii−3300000000000
χ282-22-2-1-1112-22-20i3−i300-1-1112-22-200−2i2i−2i2ii3−i3-1001-11i3−i3i3−i30000i−i3−3i−i3−300000000000
χ292-2-222-2-22-2-222000002-2-222-2-2200000000200-2-2200000000000000002-202-2000000
χ302-2-222-2-22-2-222000002-2-222-2-2200000000200-2-220000000000000000-220-22000000
χ3133333333-1-1-1-133333-1-1-1-10000-1311-1-1-1-10000000000-1-11-11111-1-1-1-111-1-1-100001-1
χ3233333333-1-1-1-133333-1-1-1-10000-13-1-111-1-10000000000-1-1-11-1-1-1-11111-1-1-1110000-11
χ3333333333-1-1-1-1333-3-3-1-1-1-10000-1-311-1-1-1-10000000000111-11111-1-1-1-1-1-11110000-11
χ3433333333-1-1-1-1333-3-3-1-1-1-10000-1-3-1-111-1-1000000000011-11-1-1-1-11111111-1-100001-1
χ3533333333-1-1-1-1-3-3-333-1-1-1-100001-311-1-1110000000000-1-1-1111-1-1-1-111111-1-10000-11
χ3633333333-1-1-1-1-3-3-333-1-1-1-100001-3-1-111110000000000-1-11-1-1-11111-1-1-1-111100001-1
χ3733333333-1-1-1-1-3-3-3-3-3-1-1-1-100001311-1-111000000000011-1111-1-1-1-111-1-1-11100001-1
χ3833333333-1-1-1-1-3-3-3-3-3-1-1-1-1000013-1-111110000000000111-1-1-11111-1-111-1-1-10000-11
χ394444-2-2-2-244444-2-200-2-2-2-2-2-2-2-2400000-2-21-2-2111111100000000000000000000000
χ404444-2-2-2-24444-42200-2-2-2-2-2-2-2-2-40000022122111-1-1-1-100000000000000000000000
χ4144-4-4-22-22-444-400000-22-2244-4-400000000-200-222000000000000000000000000000
χ4244-4-4-22-22-444-400000-22-22-2-222000000001−2i32i31-1-1i3i3−i3−i300000000000000000000000
χ4344-4-4-22-22-444-400000-22-22-2-2220000000012i3−2i31-1-1−i3−i3i3i300000000000000000000000
χ444-44-444-4-44-44-40000044-4-4-22-2200000000-2002-22000000000000000000000000000
χ454-44-4-2-2224-44-40−2i32i300-2-222-22-22000000−2i32i3100-11-1i3−i3i3−i300000000000000000000000
χ464-44-4-2-2224-44-402i3−2i300-2-222-22-220000002i3−2i3100-11-1−i3i3−i3i300000000000000000000000
χ474-4-444-4-44-4-444000004-4-44-222-200000000-20022-2000000000000000000000000000
χ484-4-44-222-2-4-44400000-222-24-4-4400000000-20022-2000000000000000000000000000
χ494-4-44-222-2-4-44400000-222-2-222-200000000100-1-113-3-3300000000000000000000000
χ504-4-44-222-2-4-44400000-222-2-222-200000000100-1-11-333-300000000000000000000000
χ516666-3-3-3-3-2-2-2-26-3-30011110000-2022-2-2110000000000002-2-1-1-1-1111100000000000
χ526666-3-3-3-3-2-2-2-26-3-30011110000-20-2-22211000000000000-221111-1-1-1-100000000000
χ536666-3-3-3-3-2-2-2-2-63300111100002022-2-2-1-1000000000000-22-1-11111-1-100000000000
χ546666-3-3-3-3-2-2-2-2-633001111000020-2-222-1-10000000000002-211-1-1-1-11100000000000
χ5566-6-66-66-62-2-220006i−6i-22-220000000000000000000000−2i2i000000000000000000000
χ5666-6-66-66-62-2-22000−6i6i-22-2200000000000000000000002i−2i000000000000000000000
χ576-66-666-6-6-22-2200000-2-2220000002i−2i−2i2i00000000000000002i−2i00−2i2i0000000000000
χ586-66-666-6-6-22-2200000-2-222000000−2i2i2i−2i0000000000000000−2i2i002i−2i0000000000000
χ596-66-6-3-333-22-220−3i33i30011-1-10000002i−2i−2i2ii3−i300000000000000−ii3−3i−i−3300000000000
χ606-66-6-3-333-22-220−3i33i30011-1-1000000−2i2i2i−2ii3−i300000000000000i−i−33−ii3−300000000000
χ616-66-6-3-333-22-2203i3−3i30011-1-10000002i−2i−2i2i−i3i300000000000000−ii−33i−i3−300000000000
χ626-66-6-3-333-22-2203i3−3i30011-1-1000000−2i2i2i−2i−i3i300000000000000i−i3−3−ii−3300000000000
χ636-6-666-6-6622-2-200000-222-200000000000000000000000000000000002-20-22000000
χ646-6-666-6-6622-2-200000-222-20000000000000000000000000000000000-2202-2000000
χ651212-12-12-66-664-4-44000002-22-2000000000000000000000000000000000000000000000
χ6612-12-1212-666-644-4-4000002-2-22000000000000000000000000000000000000000000000

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