Finite Group Databasebeta

← Group #11922509

Character table — Group #11922509

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222233336666666666888812121212121212121212121212121212121212121212121212121616161616161616161636364848484872727272
order12222236666666222222666666663666444444444412121212121212121212121212121212366666666644121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ311111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ51111-1-1111-1-1-1-111111-1-1111-1-1-1-1111111-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11-111-1-11-11-1
χ61111-1-1111-1-1-1-111111-1-1111-1-1-1-1111111-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11-111-1-1-11-11
χ71111-1-1111-1-1-1-111111-1-1111-1-1-1-111111-1111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-11-1-111-11-11
χ81111-1-1111-1-1-1-111111-1-1111-1-1-1-111111-11-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1-11-1-1111-11-1
χ92222222222222222222222222222-1-1-1-122000000000000000000000000-1-1-1-1-1-1-1-1-1-122-1-1-1-10000
χ102222222222222222222222222222-1-1-1-1-2-2000000000000000000000000-1-1-1-1-1-1-1-1-1-1-2-211110000
χ11222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-10000000000
χ12222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222200-2-2-2-2-2-2-2-21111111111111111-122-1-1-1-1-1-1-10000000000
χ132222-2-2222-2-2-2-222222-2-2222-2-2-2-22-1-1-1-12-2000000000000000000000000-111-1-1-111112-2-1-1110000
χ142222-2-2222-2-2-2-222222-2-2222-2-2-2-22-1-1-1-1-22000000000000000000000000-111-1-1-11111-2211-1-10000
χ152222-2-2-1-1-11111-12222-2-2-1-1-11111-122220022-2-222-2-2-1-1-1-11111-1-1-1-11111-1-2-2-1-1-111110000000000
χ162222-2-2-1-1-11111-12222-2-2-1-1-11111-1222200-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-2-2-1-1-111110000000000
χ1722-2-20022-20000-22-22-20022-20000-22-22-200002i−2i002i−2i00002i2i−2i−2i00002i2i−2i−2i2002-2-200000000000000
χ1822-2-20022-20000-22-22-20022-20000-22-22-20000−2i2i00−2i2i0000−2i−2i2i2i0000−2i−2i2i2i2002-2-200000000000000
χ1922-2-200-1-11−i3−i3i3i312-22-200-1-11−i3−i3i3i312-22-200002i−2i002i−2i33−3−3−i−iii33−3−3−i−iii-100-111−i3−i3i3i30000000000
χ2022-2-200-1-11−i3−i3i3i312-22-200-1-11−i3−i3i3i312-22-20000−2i2i00−2i2i−3−333ii−i−i−3−333ii−i−i-100-111−i3−i3i3i30000000000
χ2122-2-200-1-11i3i3−i3−i312-22-200-1-11i3i3−i3−i312-22-200002i−2i002i−2i−3−333−i−iii−3−333−i−iii-100-111i3i3−i3−i30000000000
χ2222-2-200-1-11i3i3−i3−i312-22-200-1-11i3i3−i3−i312-22-20000−2i2i00−2i2i33−3−3ii−i−i33−3−3ii−i−i-100-111i3i3−i3−i30000000000
χ232-22-2002-220000-2-222-2002-220000-22-2-22002i−2i002i−2i002i−2i2i−2i00002i−2i2i−2i0000200-22-200000000000000
χ242-22-2002-220000-2-222-2002-220000-22-2-2200−2i2i00−2i2i00−2i2i−2i2i0000−2i2i−2i2i0000200-22-200000000000000
χ252-22-200-11-1−i3i3−i3i31-222-200-11-1−i3i3−i3i312-2-22002i−2i002i−2i00−ii−ii3−33−3−ii−ii3−33−3-1001-11−i3i3−i3i30000000000
χ262-22-200-11-1−i3i3−i3i31-222-200-11-1−i3i3−i3i312-2-2200−2i2i00−2i2i00i−ii−i−33−33i−ii−i−33−33-1001-11−i3i3−i3i30000000000
χ272-22-200-11-1i3−i3i3−i31-222-200-11-1i3−i3i3−i312-2-22002i−2i002i−2i00−ii−ii−33−33−ii−ii−33−33-1001-11i3−i3i3−i30000000000
χ282-22-200-11-1i3−i3i3−i31-222-200-11-1i3−i3i3−i312-2-2200−2i2i00−2i2i00i−ii−i3−33−3i−ii−i3−33−3-1001-11i3−i3i3−i30000000000
χ292-2-222-22-2-22-2-222-2-2222-22-2-22-2-22222-2-20000000000000000000000000022-2-2-222-2-220000000000
χ302-2-222-22-2-22-2-222-2-2222-22-2-22-2-222-1-11100000000000000000000000000-1-1111-1-111-1003−33−30000
χ312-2-222-22-2-22-2-222-2-2222-22-2-22-2-222-1-11100000000000000000000000000-1-1111-1-111-100−33−330000
χ322-2-222-2-111-111-1-1-2-2222-2-111-111-1-122-2-20000000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3-12-211-1-111-10000000000
χ332-2-222-2-111-111-1-1-2-2222-2-111-111-1-122-2-20000000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3-12-211-1-111-10000000000
χ342-2-22-222-2-2-222-22-2-222-222-2-2-222-2222-2-2000000000000000000000000002-22-2-22-222-20000000000
χ352-2-22-222-2-2-222-22-2-222-222-2-2-222-22-1-11100000000000000000000000000-11-111-11-1-11003−3−330000
χ362-2-22-222-2-2-222-22-2-222-222-2-2-222-22-1-11100000000000000000000000000-11-111-11-1-1100−333−30000
χ372-2-22-22-1111-1-11-1-2-222-22-1111-1-11-122-2-20000000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3-1-2211-11-1-110000000000
χ382-2-22-22-1111-1-11-1-2-222-22-1111-1-11-122-2-20000000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3-1-2211-11-1-110000000000
χ3933333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000331111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000-1-1000011-1-1
χ4033333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000033-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000-1-10000-1-111
χ4133333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-3-31111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000110000-1-111
χ4233333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-3-3-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000011000011-1-1
χ433333-3-3333-3-3-3-33-1-1-1-111-1-1-11111-100003-311-1-1-1-1111111-1-1-1-1-1-1-1-111110000000000-1100001-1-11
χ443333-3-3333-3-3-3-33-1-1-1-111-1-1-11111-100003-3-1-11111-1-1-1-1-1-111111111-1-1-1-10000000000-110000-111-1
χ453333-3-3333-3-3-3-33-1-1-1-111-1-1-11111-10000-3311-1-1-1-1111111-1-1-1-1-1-1-1-1111100000000001-10000-111-1
χ463333-3-3333-3-3-3-33-1-1-1-111-1-1-11111-10000-33-1-11111-1-1-1-1-1-111111111-1-1-1-100000000001-100001-1-11
χ47444444-2-2-2-2-2-2-2-2444444-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000001-2-211111110000000000
χ484444-4-4-2-2-22222-24444-4-4-2-2-22222-2-2-2-2-200000000000000000000000000122111-1-1-1-10000000000
χ4944-4-40044-40000-44-44-40044-40000-4-22-2200000000000000000000000000-200-22200000000000000
χ5044-4-400-2-22−2i3−2i32i32i324-44-400-2-22−2i3−2i32i32i32-22-22000000000000000000000000001001-1-1i3i3−i3−i30000000000
χ5144-4-400-2-222i32i3−2i3−2i324-44-400-2-222i32i3−2i3−2i32-22-22000000000000000000000000001001-1-1−i3−i3i3i30000000000
χ524-44-4004-440000-4-444-4004-440000-4-222-200000000000000000000000000-2002-2200000000000000
χ534-44-400-22-2−2i32i3−2i32i32-444-400-22-2−2i32i3−2i32i32-222-200000000000000000000000000100-11-1i3−i3i3−i30000000000
χ544-44-400-22-22i3−2i32i3−2i32-444-400-22-22i3−2i32i3−2i32-222-200000000000000000000000000100-11-1−i3i3−i3i30000000000
χ554-4-444-4-222-222-2-2-4-4444-4-222-222-2-2-2-222000000000000000000000000001-22-1-111-1-110000000000
χ564-4-44-44-2222-2-22-2-4-444-44-2222-2-22-2-2-2220000000000000000000000000012-2-1-11-111-10000000000
χ57666666-3-3-3-3-3-3-3-3-2-2-2-2-2-2111111110000002222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ58666666-3-3-3-3-3-3-3-3-2-2-2-2-2-211111111000000-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ596666-6-6-3-3-33333-3-2-2-2-222111-1-1-1-1100000022-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ606666-6-6-3-3-33333-3-2-2-2-222111-1-1-1-11000000-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ6166-6-60066-60000-6-22-2200-2-2200002000000002i−2i00−2i2i00002i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ6266-6-60066-60000-6-22-2200-2-220000200000000−2i2i002i−2i0000−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ6366-6-600-3-33−3i3−3i33i33i33-22-220011-1i3i3−i3−i3-1000000002i−2i00−2i2i33−3−3−i−iii−3−333ii−i−i00000000000000000000
χ6466-6-600-3-33−3i3−3i33i33i33-22-220011-1i3i3−i3−i3-100000000−2i2i002i−2i−3−333ii−i−i33−3−3−i−iii00000000000000000000
χ6566-6-600-3-333i33i3−3i3−3i33-22-220011-1−i3−i3i3i3-1000000002i−2i00−2i2i−3−333−i−iii33−3−3ii−i−i00000000000000000000
χ6666-6-600-3-333i33i3−3i3−3i33-22-220011-1−i3−i3i3i3-100000000−2i2i002i−2i33−3−3ii−i−i−3−333−i−iii00000000000000000000
χ676-66-6006-660000-62-2-2200-22-2000020000002i−2i00−2i2i002i−2i2i−2i0000−2i2i−2i2i000000000000000000000000
χ686-66-6006-660000-62-2-2200-22-200002000000−2i2i002i−2i00−2i2i−2i2i00002i−2i2i−2i000000000000000000000000
χ696-66-600-33-3−3i33i3−3i33i332-2-22001-11i3−i3i3−i3-10000002i−2i00−2i2i00−ii−ii3−33−3i−ii−i−33−3300000000000000000000
χ706-66-600-33-3−3i33i3−3i33i332-2-22001-11i3−i3i3−i3-1000000−2i2i002i−2i00i−ii−i−33−33−ii−ii3−33−300000000000000000000
χ716-66-600-33-33i3−3i33i3−3i332-2-22001-11−i3i3−i3i3-10000002i−2i00−2i2i00−ii−ii−33−33i−ii−i3−33−300000000000000000000
χ726-66-600-33-33i3−3i33i3−3i332-2-22001-11−i3i3−i3i3-1000000−2i2i002i−2i00i−ii−i3−33−3−ii−ii−33−3300000000000000000000
χ736-6-666-66-6-66-6-66622-2-2-22-222-222-2-200000000000000000000000000000000000000000000000000
χ746-6-666-6-333-333-3-322-2-2-221-1-11-1-11100000000000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i300000000000000000000
χ756-6-666-6-333-333-3-322-2-2-221-1-11-1-11100000000000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i300000000000000000000
χ766-6-66-666-6-6-666-6622-2-22-2-2222-2-22-200000000000000000000000000000000000000000000000000
χ776-6-66-66-3333-3-33-322-2-22-21-1-1-111-1100000000000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i300000000000000000000
χ786-6-66-66-3333-3-33-322-2-22-21-1-1-111-1100000000000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i300000000000000000000

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