Finite Group Databasebeta

← Group #11921906

Character table — Group #11921906

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222223333446666666666888888881212161616161616161618181818242424242424242424242424242424242424242472727272
order1222344666222212124444446666366612121212121236661212121244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111-1-111-1-11111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ511111-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11-11-1-1-11111-1-11111-1-1-1-11-11-1
χ611111-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-11-1111-1-1-1-1111111-1-1-1-1-11-11
χ711111-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1-1-11111-11-11
χ811111-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111-11-1111-1-1-1-111-1-1-1-111111-11-1
χ922222222222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000000000000-1-1-1-1-1-1-1-10000
χ102222222222222222-2-222-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000111111110000
χ1122222-2-22222222-2-222-2-2-2-22222-1-1-1-11111-2-2-1-1-1-1111122-2-2000000000000-1-1-1-111110000
χ1222222-2-22222222-2-2-2-2-2-2222222-1-1-1-11111-2-2-1-1-1-11111-2-2220000000000001111-1-1-1-10000
χ132222-122-1-1-12222-1-1002200-1-1-1-122222222-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1000000000000
χ142222-122-1-1-12222-1-1002200-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-2-2-2-211111111000000000000
χ152222-1-2-2-1-1-122221100-2-200-1-1-1-12222-2-2-2-211-1-1-1-1111100002-22-211-1-1-1-111000000000000
χ162222-1-2-2-1-1-122221100-2-200-1-1-1-12222-2-2-2-211-1-1-1-111110000-22-22-1-11111-1-1000000000000
χ1722-2-22002-2-222-2-2002-2000022-2-22-22-200000022-2-200002-20000000000000022-2-200000000
χ1822-2-22002-2-222-2-2002-2000022-2-2-11-1133−3−300-1-11133−3−32-200000000000000-1-11133−3−30000
χ1922-2-22002-2-222-2-2002-2000022-2-2-11-11−3−33300-1-111−3−3332-200000000000000-1-111−3−3330000
χ2022-2-22002-2-222-2-200-22000022-2-22-22-200000022-2-20000-2200000000000000-2-22200000000
χ2122-2-22002-2-222-2-200-22000022-2-2-11-1133−3−300-1-11133−3−3-220000000000000011-1-1−3−3330000
χ2222-2-22002-2-222-2-200-22000022-2-2-11-11−3−33300-1-111−3−333-220000000000000011-1-133−3−30000
χ232-22-2200-2-222-22-20000002i−2i2-22-222-2-20000002-2-220000002i−2i00000000000000002i−2i2i−2i0000
χ242-22-2200-2-222-22-20000002i−2i2-22-2-1-111−i3i3−i3i300-111-1−i3i3−i3i3002i−2i0000000000003−33−3−ii−ii0000
χ252-22-2200-2-222-22-20000002i−2i2-22-2-1-111i3−i3i3−i300-111-1i3−i3i3−i3002i−2i000000000000−33−33−ii−ii0000
χ262-22-2200-2-222-22-2000000−2i2i2-22-222-2-20000002-2-22000000−2i2i0000000000000000−2i2i−2i2i0000
χ272-22-2200-2-222-22-2000000−2i2i2-22-2-1-111−i3i3−i3i300-111-1−i3i3−i3i300−2i2i000000000000−33−33i−ii−i0000
χ282-22-2200-2-222-22-2000000−2i2i2-22-2-1-111i3−i3i3−i300-111-1i3−i3i3−i300−2i2i0000000000003−33−3i−ii−i0000
χ292-2-2222i−2i-22-22-2-222i−2i002i−2i002-2-222-2-222i−2i−2i2i2i−2i2-22-22i−2i−2i2i0000000000000000000000000000
χ302-2-2222i−2i-22-22-2-222i−2i002i−2i002-2-22-111-1−iii−i2i−2i-11-11−iii−i00000000000000003−3−33i3−i3−i3i30000
χ312-2-2222i−2i-22-22-2-222i−2i002i−2i002-2-22-111-1−iii−i2i−2i-11-11−iii−i0000000000000000−333−3−i3i3i3−i30000
χ322-2-222−2i2i-22-22-2-22−2i2i00−2i2i002-2-222-2-22−2i2i2i−2i−2i2i2-22-2−2i2i2i−2i0000000000000000000000000000
χ332-2-222−2i2i-22-22-2-22−2i2i00−2i2i002-2-22-111-1i−i−ii−2i2i-11-11i−i−ii00000000000000003−3−33−i3i3i3−i30000
χ342-2-222−2i2i-22-22-2-22−2i2i00−2i2i002-2-22-111-1i−i−ii−2i2i-11-11i−i−ii0000000000000000−333−3i3−i3−i3i30000
χ352-2-22-12i−2i1-112-2-22−ii002i−2i00-111-12-2-222i−2i−2i2i−ii-11-11−iii−i00000000−i3i33−33−3−i3i3000000000000
χ362-2-22-12i−2i1-112-2-22−ii002i−2i00-111-12-2-222i−2i−2i2i−ii-11-11−iii−i00000000i3−i3−33−33i3−i3000000000000
χ372-2-22-1−2i2i1-112-2-22i−i00−2i2i00-111-12-2-22−2i2i2i−2ii−i-11-11i−i−ii00000000−i3i3−33−33−i3i3000000000000
χ382-2-22-1−2i2i1-112-2-22i−i00−2i2i00-111-12-2-22−2i2i2i−2ii−i-11-11i−i−ii00000000i3−i33−33−3i3−i3000000000000
χ393333333333-1-1-1-13333-1-133-1-1-1-100000000-1-100000000-1-1-1-111-1-11111-1-1-1-10000000011-1-1
χ403333333333-1-1-1-13333-1-133-1-1-1-100000000-1-100000000-1-1-1-1-1-111-1-1-1-1111100000000-1-111
χ413333333333-1-1-1-133-3-3-1-1-3-3-1-1-1-100000000-1-100000000111111-1-11111-1-1-1-100000000-1-111
χ423333333333-1-1-1-133-3-3-1-1-3-3-1-1-1-100000000-1-1000000001111-1-111-1-1-1-111110000000011-1-1
χ4333333-3-3333-1-1-1-1-3-33311-3-3-1-1-1-1000000001100000000-1-1111-1-11-1-111-1-111000000001-1-11
χ4433333-3-3333-1-1-1-1-3-33311-3-3-1-1-1-1000000001100000000-1-111-111-111-1-111-1-100000000-111-1
χ4533333-3-3333-1-1-1-1-3-3-3-31133-1-1-1-100000000110000000011-1-11-1-11-1-111-1-11100000000-111-1
χ4633333-3-3333-1-1-1-1-3-3-3-31133-1-1-1-100000000110000000011-1-1-111-111-1-111-1-1000000001-1-11
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
χ4944-4-4-200-22244-4-400000000-2-2224-44-4000000-2-22200000000000000000000000000000000
χ5044-4-4-200-22244-4-400000000-2-222-22-222323−23−230011-1-1−3−3330000000000000000000000000000
χ5144-4-4-200-22244-4-400000000-2-222-22-22−23−2323230011-1-133−3−30000000000000000000000000000
χ524-44-4-20022-24-44-400000000-22-2244-4-4000000-222-200000000000000000000000000000000
χ534-44-4-20022-24-44-400000000-22-22-2-222−2i32i3−2i32i3001-1-11i3−i3i3−i30000000000000000000000000000
χ544-44-4-20022-24-44-400000000-22-22-2-2222i3−2i32i3−2i3001-1-11−i3i3−i3i30000000000000000000000000000
χ554-4-44-24i−4i2-224-4-44−2i2i004i−4i00-222-2-222-2−2i2i2i−2i−2i2i1-11-1i−i−ii0000000000000000000000000000
χ564-4-44-2−4i4i2-224-4-442i−2i00−4i4i00-222-2-222-22i−2i−2i2i2i−2i1-11-1−iii−i0000000000000000000000000000
χ576666-366-3-3-3-2-2-2-2-3-300-2-2001111000000001100000000000022-2-2-1-1-1-11111000000000000
χ586666-366-3-3-3-2-2-2-2-3-300-2-20011110000000011000000000000-2-2221111-1-1-1-1000000000000
χ596666-3-6-6-3-3-3-2-2-2-233002200111100000000-1-10000000000002-2-2211-1-111-1-1000000000000
χ606666-3-6-6-3-3-3-2-2-2-233002200111100000000-1-1000000000000-222-2-1-111-1-111000000000000
χ6166-6-66006-6-6-2-222006-60000-2-222000000000000000000-2200000000000000000000000000
χ6266-6-66006-6-6-2-22200-660000-2-2220000000000000000002-200000000000000000000000000
χ636-66-6600-6-66-22-220000006i−6i-22-2200000000000000000000−2i2i000000000000000000000000
χ646-66-6600-6-66-22-22000000−6i6i-22-22000000000000000000002i−2i000000000000000000000000
χ656-6-6666i−6i-66-6-222-26i−6i00−2i2i00-222-200000000−2i2i000000000000000000000000000000000000
χ666-6-666−6i6i-66-6-222-2−6i6i002i−2i00-222-2000000002i−2i000000000000000000000000000000000000
χ676-6-66-36i−6i3-33-222-2−3i3i00−2i2i001-1-1100000000i−i0000000000000000−i3i33−3−33i3−i3000000000000
χ686-6-66-36i−6i3-33-222-2−3i3i00−2i2i001-1-1100000000i−i0000000000000000i3−i3−333−3−i3i3000000000000
χ696-6-66-3−6i6i3-33-222-23i−3i002i−2i001-1-1100000000−ii0000000000000000−i3i3−333−3i3−i3000000000000
χ706-6-66-3−6i6i3-33-222-23i−3i002i−2i001-1-1100000000−ii0000000000000000i3−i33−3−33−i3i3000000000000
χ711212-12-12-600-666-4-4440000000022-2-20000000000000000000000000000000000000000000000
χ7212-1212-12-60066-6-44-44000000002-22-20000000000000000000000000000000000000000000000

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