Finite Group Databasebeta

← Group #11921954

Character table — Group #11921954

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222223333446666666666888888881212161616161616161618181818242424242424242424242424242424242424242472727272
order122234466622221212224444666636661212121212123666121212122244444466661212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111-1-111-1-11111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11-11-1111111-1-111-1-1-1-1-1-1-111-1
χ611111-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-11-111111-1-111-1-111-1-1-1-11-1-11
χ711111-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-1-111-1-111-1-111111-1-11
χ811111-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-1-1-1-111-1-1111111-111-1
χ922222222222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000-1-1-1-100000000-1-1-1-10000
χ102222222222222222-2-222-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000011110000000011110000
χ1122222-2-22222222-2-222-2-2-2-22222-1-1-1-11111-2-2-1-1-1-1111122-2-20000-1-1-1-10000000011110000
χ1222222-2-22222222-2-2-2-2-2-2222222-1-1-1-11111-2-2-1-1-1-11111-2-2220000111100000000-1-1-1-10000
χ132222-122-1-1-12222-1-1002200-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000
χ142222-122-1-1-12222-1-1002200-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-2-2-2-200001111111100000000
χ152222-1-2-2-1-1-122221100-2-200-1-1-1-12222-2-2-2-211-1-1-1-1111100002-22-20000-1-111-1-11100000000
χ162222-1-2-2-1-1-122221100-2-200-1-1-1-12222-2-2-2-211-1-1-1-111110000-22-22000011-1-111-1-100000000
χ1722-2-22002-2-222-2-2002-2000022-2-222-2-200000022-2-200002-200000022-2-20000000000000000
χ1822-2-22002-2-222-2-2002-2000022-2-2-1-11133−3−300-1-11133−3−32-2000000-1-1110000000033−3−30000
χ1922-2-22002-2-222-2-2002-2000022-2-2-1-111−3−33300-1-111−3−3332-2000000-1-11100000000−3−3330000
χ2022-2-22002-2-222-2-200-22000022-2-222-2-200000022-2-20000-22000000-2-2220000000000000000
χ2122-2-22002-2-222-2-200-22000022-2-2-1-11133−3−300-1-11133−3−3-2200000011-1-100000000−3−3330000
χ2222-2-22002-2-222-2-200-22000022-2-2-1-111−3−33300-1-111−3−333-2200000011-1-10000000033−3−30000
χ232-22-222i−2i-22-22-22-22i−2i002i−2i002-22-22-22-22i−2i2i−2i2i−2i2-22-22i−2i2i−2i0000000000000000000000000000
χ242-22-222i−2i-22-22-22-22i−2i002i−2i002-22-2-11-11−ii−ii2i−2i-11-11−ii−ii00000000−i3i3−i3i3000000003−33−30000
χ252-22-222i−2i-22-22-22-22i−2i002i−2i002-22-2-11-11−ii−ii2i−2i-11-11−ii−ii00000000i3−i3i3−i300000000−33−330000
χ262-22-22−2i2i-22-22-22-2−2i2i00−2i2i002-22-22-22-2−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i0000000000000000000000000000
χ272-22-22−2i2i-22-22-22-2−2i2i00−2i2i002-22-2-11-11i−ii−i−2i2i-11-11i−ii−i00000000−i3i3−i3i300000000−33−330000
χ282-22-22−2i2i-22-22-22-2−2i2i00−2i2i002-22-2-11-11i−ii−i−2i2i-11-11i−ii−i00000000i3−i3i3−i3000000003−33−30000
χ292-22-2-12i−2i1-112-22-2−ii002i−2i00-11-112-22-22i−2i2i−2i−ii-11-11−ii−ii000000000000−i3i33−3−i3i33−300000000
χ302-22-2-12i−2i1-112-22-2−ii002i−2i00-11-112-22-22i−2i2i−2i−ii-11-11−ii−ii000000000000i3−i3−33i3−i3−3300000000
χ312-22-2-1−2i2i1-112-22-2i−i00−2i2i00-11-112-22-2−2i2i−2i2ii−i-11-11i−ii−i000000000000−i3i3−33−i3i3−3300000000
χ322-22-2-1−2i2i1-112-22-2i−i00−2i2i00-11-112-22-2−2i2i−2i2ii−i-11-11i−ii−i000000000000i3−i33−3i3−i33−300000000
χ332-2-22200-2-222-2-220000002-22-2-222-2-220000002-2-220000002-200000000000000002-2-220000
χ342-2-22200-2-222-2-220000002-22-2-22-111-1−i3i3i3−i300-111-1−i3i3i3−i3002-20000−i3i3i3−i300000000-111-10000
χ352-2-22200-2-222-2-220000002-22-2-22-111-1i3−i3−i3i300-111-1i3−i3−i3i3002-20000i3−i3−i3i300000000-111-10000
χ362-2-22200-2-222-2-22000000-222-2-222-2-220000002-2-22000000-220000000000000000-222-20000
χ372-2-22200-2-222-2-22000000-222-2-22-111-1−i3i3i3−i300-111-1−i3i3i3−i300-220000i3−i3−i3i3000000001-1-110000
χ382-2-22200-2-222-2-22000000-222-2-22-111-1i3−i3−i3i300-111-1i3−i3−i3i300-220000−i3i3i3−i3000000001-1-110000
χ393333333333-1-1-1-13333-1-133-1-1-1-100000000-1-100000000-1-1-1-111-1-100001111-1-1-1-1000011-1-1
χ403333333333-1-1-1-13333-1-133-1-1-1-100000000-1-100000000-1-1-1-1-1-1110000-1-1-1-111110000-1-111
χ413333333333-1-1-1-133-3-3-1-1-3-3-1-1-1-100000000-1-100000000111111-1-100001111-1-1-1-10000-1-111
χ423333333333-1-1-1-133-3-3-1-1-3-3-1-1-1-100000000-1-1000000001111-1-1110000-1-1-1-11111000011-1-1
χ4333333-3-3333-1-1-1-1-3-33311-3-3-1-1-1-1000000001100000000-1-1111-1-11000011-1-1-1-1110000-11-11
χ4433333-3-3333-1-1-1-1-3-33311-3-3-1-1-1-1000000001100000000-1-111-111-10000-1-11111-1-100001-11-1
χ4533333-3-3333-1-1-1-1-3-3-3-31133-1-1-1-100000000110000000011-1-11-1-11000011-1-1-1-11100001-11-1
χ4633333-3-3333-1-1-1-1-3-3-3-31133-1-1-1-100000000110000000011-1-1-111-10000-1-11111-1-10000-11-11
χ474444-244-2-2-24444-2-2004400-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ484444-2-4-4-2-2-244442200-4-400-2-2-2-2-2-2-2-22222221111-1-1-1-10000000000000000000000000000
χ4944-4-4-200-22244-4-400000000-2-22244-4-4000000-2-22200000000000000000000000000000000
χ5044-4-4-200-22244-4-400000000-2-222-2-2222323−23−230011-1-1−3−3330000000000000000000000000000
χ5144-4-4-200-22244-4-400000000-2-222-2-222−23−2323230011-1-133−3−30000000000000000000000000000
χ524-44-4-24i−4i2-224-44-4−2i2i004i−4i00-22-22-22-22−2i2i−2i2i−2i2i1-11-1i−ii−i0000000000000000000000000000
χ534-44-4-2−4i4i2-224-44-42i−2i00−4i4i00-22-22-22-222i−2i2i−2i2i−2i1-11-1−ii−ii0000000000000000000000000000
χ544-4-44-20022-24-4-4400000000-222-24-4-44000000-222-200000000000000000000000000000000
χ554-4-44-20022-24-4-4400000000-222-2-222-2−2i32i32i3−2i3001-1-11i3−i3−i3i30000000000000000000000000000
χ564-4-44-20022-24-4-4400000000-222-2-222-22i3−2i3−2i32i3001-1-11−i3i3i3−i30000000000000000000000000000
χ576666-366-3-3-3-2-2-2-2-3-300-2-2001111000000001100000000000022-2-20000-1-1-1-1111100000000
χ586666-366-3-3-3-2-2-2-2-3-300-2-20011110000000011000000000000-2-22200001111-1-1-1-100000000
χ596666-3-6-6-3-3-3-2-2-2-233002200111100000000-1-10000000000002-2-220000-1-11111-1-100000000
χ606666-3-6-6-3-3-3-2-2-2-233002200111100000000-1-1000000000000-222-2000011-1-1-1-11100000000
χ6166-6-66006-6-6-2-222006-60000-2-222000000000000000000-2200000000000000000000000000
χ6266-6-66006-6-6-2-22200-660000-2-2220000000000000000002-200000000000000000000000000
χ636-66-666i−6i-66-6-22-226i−6i00−2i2i00-22-2200000000−2i2i000000000000000000000000000000000000
χ646-66-66−6i6i-66-6-22-22−6i6i002i−2i00-22-22000000002i−2i000000000000000000000000000000000000
χ656-66-6-36i−6i3-33-22-22−3i3i00−2i2i001-11-100000000i−i00000000000000000000−i3i33−3i3−i3−3300000000
χ666-66-6-36i−6i3-33-22-22−3i3i00−2i2i001-11-100000000i−i00000000000000000000i3−i3−33−i3i33−300000000
χ676-66-6-3−6i6i3-33-22-223i−3i002i−2i001-11-100000000−ii00000000000000000000−i3i3−33i3−i33−300000000
χ686-66-6-3−6i6i3-33-22-223i−3i002i−2i001-11-100000000−ii00000000000000000000i3−i33−3−i3i3−3300000000
χ696-6-66600-6-66-222-20000006-6-222-200000000000000000000-22000000000000000000000000
χ706-6-66600-6-66-222-2000000-66-222-2000000000000000000002-2000000000000000000000000
χ711212-12-12-600-666-4-4440000000022-2-20000000000000000000000000000000000000000000000
χ7212-12-1212-60066-6-444-4000000002-2-220000000000000000000000000000000000000000000000

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