Finite Group Databasebeta

← Group #11921896

Character table — Group #11921896

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222333344466666688881212121212121212161616161616161616161818242424242424242424243636363636484848487272
order1222366622224121244666636664444441212366612121212121244441212121212121212444441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1
χ3111111111111111-1-111111111111-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111-1-1-11111111111-111-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-1
χ6111111111111-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1-111111111-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111
χ8111111111111-1-1-1-1-111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-111-1-1
χ9222222222222222222222-1-1-1-120020022-1-1-1-1-1-1-1-1-1-122000000000020000-1-1-1-100
χ10222222222222222-2-22222-1-1-1-1200-20022-1-1-1-1-1-1-1-1-1-1-2-20000000000-20000111100
χ11222222222222-2-2-2222222-1-1-1-1-200-200-2-2-1-1-1-1111111220000000000-20000-1-11100
χ12222222222222-2-2-2-2-22222-1-1-1-1-200200-2-2-1-1-1-1111111-2-200000000002000011-1-100
χ132222-1-1-1-122222-1-100-1-1-1-12222222022-1-1-1-1-1-122-1-1-1-10022-1-1-1-1-1-1-1-100000000000
χ142222-1-1-1-122222-1-100-1-1-1-122222-2-20-2-2-1-1-1-1-1-122-1-1-1-100-2-21111111100000000000
χ152222-1-1-1-12222-21100-1-1-1-12222-22202211-1-1-1-1-2-2111100-2-211-1-1-1-11100000000000
χ162222-1-1-1-12222-21100-1-1-1-12222-2-2-20-2-211-1-1-1-1-2-211110022-1-11111-1-100000000000
χ1722-2-22-2-22-222-20002i−2i2-22-22-22-2000000002-2-220000002i−2i0000000000000002i−2i0000
χ1822-2-22-2-22-222-20002i−2i2-22-2-11-1100000000-111-1−i3i3−i3−i3i3i32i−2i000000000000000−ii3−300
χ1922-2-22-2-22-222-20002i−2i2-22-2-11-1100000000-111-1i3−i3i3i3−i3−i32i−2i000000000000000−ii−3300
χ2022-2-22-2-22-222-2000−2i2i2-22-22-22-2000000002-2-22000000−2i2i000000000000000−2i2i0000
χ2122-2-22-2-22-222-2000−2i2i2-22-2-11-1100000000-111-1−i3i3−i3−i3i3i3−2i2i000000000000000i−i−3300
χ2222-2-22-2-22-222-2000−2i2i2-22-2-11-1100000000-111-1i3−i3i3i3−i3−i3−2i2i000000000000000i−i3−300
χ232-22-222-2-22-22-20000022-2-22-2-220000000022-2-200000000000000000002i−2i2i−2i000000
χ242-22-222-2-22-22-20000022-2-22-2-220000000022-2-20000000000000000000−2i2i−2i2i000000
χ252-2-222-22-2-2-222000002-2-2222-2-202i−2i02i−2i002-22-20000000000002i−2i2i−2i0000000000000
χ262-2-222-22-2-2-222000002-2-2222-2-20−2i2i0−2i2i002-22-2000000000000−2i2i−2i2i0000000000000
χ272-2-22-11-11-2-22203−300-111-122-2-202i−2i02i−2i3−3-11-11003−33−30000−i3i3−ii−ii−i3i300000000000
χ282-2-22-11-11-2-22203−300-111-122-2-20−2i2i0−2i2i3−3-11-11003−33−30000i3−i3i−ii−ii3−i300000000000
χ292-2-22-11-11-2-2220−3300-111-122-2-202i−2i02i−2i−33-11-1100−33−330000i3−i3−ii−iii3−i300000000000
χ302-2-22-11-11-2-2220−3300-111-122-2-20−2i2i0−2i2i−33-11-1100−33−330000−i3i3i−ii−i−i3i300000000000
χ3133333333-1-1-1-133333-1-1-1-10000-1113-1-1-1-10000000000-1-11-11111-1-1-1-1-111-1-100001-1
χ3233333333-1-1-1-133333-1-1-1-10000-1-1-1311-1-10000000000-1-1-11-1-1-1-11111-1-1-1110000-11
χ3333333333-1-1-1-1333-3-3-1-1-1-10000-111-3-1-1-1-10000000000111-11111-1-1-1-11-1-1110000-11
χ3433333333-1-1-1-1333-3-3-1-1-1-10000-1-1-1-311-1-1000000000011-11-1-1-1-11111111-1-100001-1
χ3533333333-1-1-1-1-3-3-333-1-1-1-10000111-3-1-1110000000000-1-1-11-1-111-1-111111-1-10000-11
χ3633333333-1-1-1-1-3-3-333-1-1-1-100001-1-1-311110000000000-1-11-111-1-111-1-11-1-11100001-1
χ3733333333-1-1-1-1-3-3-3-3-3-1-1-1-100001113-1-111000000000011-11-1-111-1-111-1-1-11100001-1
χ3833333333-1-1-1-1-3-3-3-3-3-1-1-1-100001-1-1311110000000000111-111-1-111-1-1-111-1-10000-11
χ394444-2-2-2-244444-2-200-2-2-2-2-2-2-2-2400000-2-21111-2-2111100000000000000000000000
χ404444-2-2-2-24444-42200-2-2-2-2-2-2-2-2-40000022111122-1-1-1-100000000000000000000000
χ4144-4-4-222-2-444-400000-22-224-44-400000000-222-200000000000000000000000000000
χ4244-4-4-222-2-444-400000-22-22-22-22000000001-1-11−2i32i3i3i3−i3−i300000000000000000000000
χ4344-4-4-222-2-444-400000-22-22-22-22000000001-1-112i3−2i3−i3−i3i3i300000000000000000000000
χ444-44-444-4-44-44-40000044-4-4-222-200000000-2-22200000000000000000000000000000
χ454-44-4-2-2224-44-400000-2-2224-4-4400000000-2-22200000000000000000000000000000
χ464-44-4-2-2224-44-400000-2-222-222-20000000011-1-1003i−3i−3i3i00000000000000000000000
χ474-44-4-2-2224-44-400000-2-222-222-20000000011-1-100−3i3i3i−3i00000000000000000000000
χ484-4-444-44-4-4-444000004-4-44-2-22200000000-22-2200000000000000000000000000000
χ494-4-44-22-22-4-444023−2300-222-2-2-22200000023−231-11-100−33−3300000000000000000000000
χ504-4-44-22-22-4-4440−232300-222-2-2-222000000−23231-11-1003−33−300000000000000000000000
χ516666-3-3-3-3-2-2-2-26-3-30011110000-2220-2-2110000000000002-2-1-1-1-1111100000000000
χ526666-3-3-3-3-2-2-2-26-3-30011110000-2-2-202211000000000000-221111-1-1-1-100000000000
χ536666-3-3-3-3-2-2-2-2-63300111100002220-2-2-1-1000000000000-2211-1-111-1-100000000000
χ546666-3-3-3-3-2-2-2-2-63300111100002-2-2022-1-10000000000002-2-1-111-1-11100000000000
χ5566-6-66-6-662-2-220006i−6i-22-220000000000000000000000−2i2i000000000000000000000
χ5666-6-66-6-662-2-22000−6i6i-22-2200000000000000000000002i−2i000000000000000000000
χ576-66-666-6-6-22-2200000-2-222000000000000000000000000000000000002i−2i−2i2i000000
χ586-66-666-6-6-22-2200000-2-22200000000000000000000000000000000000−2i2i2i−2i000000
χ596-6-666-66-622-2-200000-222-2000002i−2i0−2i2i0000000000000000002i−2i−2i2i0000000000000
χ606-6-666-66-622-2-200000-222-200000−2i2i02i−2i000000000000000000−2i2i2i−2i0000000000000
χ616-6-66-33-3322-2-2033−33001-1-11000002i−2i0−2i2i−3300000000000000−i3i3−iii−ii3−i300000000000
χ626-6-66-33-3322-2-2033−33001-1-1100000−2i2i02i−2i−3300000000000000i3−i3i−i−ii−i3i300000000000
χ636-6-66-33-3322-2-20−3333001-1-11000002i−2i0−2i2i3−300000000000000i3−i3−iii−i−i3i300000000000
χ646-6-66-33-3322-2-20−3333001-1-1100000−2i2i02i−2i3−300000000000000−i3i3i−i−iii3−i300000000000
χ651212-12-12-666-64-4-44000002-22-2000000000000000000000000000000000000000000000
χ6612-1212-12-6-666-44-440000022-2-2000000000000000000000000000000000000000000000

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