Finite Group Databasebeta

← Group #11922007

Character table — Group #11922007

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222333344466666688881212121212121212161616161616161616161818242424242424242424243636363636484848487272
order122236662222412122266663666244444121236661212121212122244121212121212121224444666644
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1
χ3111111111111111-1-111111111-111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111-1-111111111-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-1
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
χ7111111111111-1-1-1-1-1111111111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111
χ8111111111111-1-1-1-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-111-1-1
χ9222222222222222222222-1-1-1-122000022-1-1-1-1-1-1-1-1-1-122000000000020000-1-1-1-100
χ10222222222222222-2-22222-1-1-1-1-22000022-1-1-1-1-1-1-1-1-1-1-2-20000000000-20000111100
χ11222222222222-2-2-2222222-1-1-1-1-2-20000-2-2-1-1-1-1111111220000000000-20000-1-11100
χ12222222222222-2-2-2-2-22222-1-1-1-12-20000-2-2-1-1-1-1111111-2-200000000002000011-1-100
χ132222-1-1-1-122222-1-100-1-1-1-12222022222-1-1-1-1-1-122-1-1-1-10022-1-1-1-1-1-1-1-100000000000
χ142222-1-1-1-122222-1-100-1-1-1-1222202-2-2-2-2-1-1-1-1-1-122-1-1-1-100-2-21111111100000000000
χ152222-1-1-1-12222-21100-1-1-1-122220-2222211-1-1-1-1-2-2111100-2-211-1-1-1-11100000000000
χ162222-1-1-1-12222-21100-1-1-1-122220-2-2-2-2-211-1-1-1-1-2-211110022-1-11111-1-100000000000
χ1722-2-22-22-222-2-2000002-22-222-2-2002i−2i2i−2i0022-2-20000000000002i−2i2i−2i0000000000000
χ1822-2-22-22-222-2-2000002-22-222-2-200−2i2i−2i2i0022-2-2000000000000−2i2i−2i2i0000000000000
χ1922-2-2-11-1122-2-203−300-11-1122-2-2002i−2i2i−2i3−3-1-1110033−3−30000−i3i3−ii−ii−i3i300000000000
χ2022-2-2-11-1122-2-203−300-11-1122-2-200−2i2i−2i2i3−3-1-1110033−3−30000i3−i3i−ii−ii3−i300000000000
χ2122-2-2-11-1122-2-20−3300-11-1122-2-2002i−2i2i−2i−33-1-11100−3−3330000i3−i3−ii−iii3−i300000000000
χ2222-2-2-11-1122-2-20−3300-11-1122-2-200−2i2i−2i2i−33-1-11100−3−3330000−i3i3i−ii−i−i3i300000000000
χ232-22-222-2-22-22-20000022-2-22-22-2000000002-22-200000000000000000002i−2i2i−2i000000
χ242-22-222-2-22-22-20000022-2-22-22-2000000002-22-20000000000000000000−2i2i−2i2i000000
χ252-2-222-2-222-2-220002-22-2-222-2-22000000002-2-220000002-20000000000000002-20000
χ262-2-222-2-222-2-220002-22-2-22-111-100000000-111-1−i3i3−i3i3−i3i32-2000000000000000-11−i3i300
χ272-2-222-2-222-2-220002-22-2-22-111-100000000-111-1i3−i3i3−i3i3−i32-2000000000000000-11i3−i300
χ282-2-222-2-222-2-22000-222-2-222-2-22000000002-2-22000000-22000000000000000-220000
χ292-2-222-2-222-2-22000-222-2-22-111-100000000-111-1−i3i3−i3i3−i3i3-220000000000000001-1i3−i300
χ302-2-222-2-222-2-22000-222-2-22-111-100000000-111-1i3−i3i3−i3i3−i3-220000000000000001-1−i3i300
χ3133333333-1-1-1-133333-1-1-1-100003-111-1-1-1-10000000000-1-11-11111-1-1-1-1-111-1-100001-1
χ3233333333-1-1-1-133333-1-1-1-100003-1-1-111-1-10000000000-1-1-11-1-1-1-11111-1-1-1110000-11
χ3333333333-1-1-1-1333-3-3-1-1-1-10000-3-111-1-1-1-10000000000111-11111-1-1-1-11-1-1110000-11
χ3433333333-1-1-1-1333-3-3-1-1-1-10000-3-1-1-111-1-1000000000011-11-1-1-1-11111111-1-100001-1
χ3533333333-1-1-1-1-3-3-333-1-1-1-10000-3111-1-1110000000000-1-1-11-1-111-1-111111-1-10000-11
χ3633333333-1-1-1-1-3-3-333-1-1-1-10000-31-1-111110000000000-1-11-111-1-111-1-11-1-11100001-1
χ3733333333-1-1-1-1-3-3-3-3-3-1-1-1-100003111-1-111000000000011-11-1-111-1-111-1-1-11100001-1
χ3833333333-1-1-1-1-3-3-3-3-3-1-1-1-1000031-1-111110000000000111-111-1-111-1-1-111-1-10000-11
χ394444-2-2-2-244444-2-200-2-2-2-2-2-2-2-2040000-2-21111-2-2111100000000000000000000000
χ404444-2-2-2-24444-42200-2-2-2-2-2-2-2-20-4000022111122-1-1-1-100000000000000000000000
χ4144-4-44-44-444-4-4000004-44-4-2-22200000000-2-22200000000000000000000000000000
χ4244-4-4-22-2244-4-4023−2300-22-22-2-22200000023−2311-1-100−3−33300000000000000000000000
χ4344-4-4-22-2244-4-40−232300-22-22-2-222000000−232311-1-10033−3−300000000000000000000000
χ444-44-444-4-44-44-40000044-4-4-22-2200000000-22-2200000000000000000000000000000
χ454-44-4-2-2224-44-400000-2-2224-44-400000000-22-2200000000000000000000000000000
χ464-44-4-2-2224-44-400000-2-222-22-22000000001-11-1003i−3i−3i3i00000000000000000000000
χ474-44-4-2-2224-44-400000-2-222-22-22000000001-11-100−3i3i3i−3i00000000000000000000000
χ484-4-44-222-24-4-4400000-222-24-4-4400000000-222-200000000000000000000000000000
χ494-4-44-222-24-4-4400000-222-2-222-2000000001-1-11−2i32i3i3−i3i3−i300000000000000000000000
χ504-4-44-222-24-4-4400000-222-2-222-2000000001-1-112i3−2i3−i3i3−i3i300000000000000000000000
χ516666-3-3-3-3-2-2-2-26-3-300111100000-222-2-2110000000000002-2-1-1-1-1111100000000000
χ526666-3-3-3-3-2-2-2-26-3-300111100000-2-2-22211000000000000-221111-1-1-1-100000000000
χ536666-3-3-3-3-2-2-2-2-63300111100000222-2-2-1-1000000000000-2211-1-111-1-100000000000
χ546666-3-3-3-3-2-2-2-2-633001111000002-2-222-1-10000000000002-2-1-111-1-11100000000000
χ5566-6-66-66-6-2-22200000-22-220000002i−2i−2i2i0000000000000000002i−2i−2i2i0000000000000
χ5666-6-66-66-6-2-22200000-22-22000000−2i2i2i−2i000000000000000000−2i2i2i−2i0000000000000
χ5766-6-6-33-33-2-222033−33001-11-10000002i−2i−2i2i−3300000000000000−i3i3−iii−ii3−i300000000000
χ5866-6-6-33-33-2-222033−33001-11-1000000−2i2i2i−2i−3300000000000000i3−i3i−i−ii−i3i300000000000
χ5966-6-6-33-33-2-2220−3333001-11-10000002i−2i−2i2i3−300000000000000i3−i3−iii−i−i3i300000000000
χ6066-6-6-33-33-2-2220−3333001-11-1000000−2i2i2i−2i3−300000000000000−i3i3i−i−iii3−i300000000000
χ616-66-666-6-6-22-2200000-2-222000000000000000000000000000000000002i−2i−2i2i000000
χ626-66-666-6-6-22-2200000-2-22200000000000000000000000000000000000−2i2i2i−2i000000
χ636-6-666-6-66-222-20006-6-222-20000000000000000000000-22000000000000000000000
χ646-6-666-6-66-222-2000-66-222-200000000000000000000002-2000000000000000000000
χ6512-1212-12-6-666-44-440000022-2-2000000000000000000000000000000000000000000000
χ6612-12-1212-666-6-444-4000002-2-22000000000000000000000000000000000000000000000

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