Finite Group Databasebeta

← Group #11921921

Character table — Group #11921921

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222223333446666666666888888881212161616161616161618181818242424242424242424242424242424242424242472727272
order1222344666222212124444446666366612121212121236661212121244444444121212121212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111-1-1-1-1111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11-11-111-1-111-1-11111-1-1-1-11-11-1
χ611111-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-1-111-1-1111111-1-1-1-1-11-11
χ711111-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-111-1-111-1-1-1-1-1-11111-11-11
χ811111-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-11-11-1-111-1-111-1-1-1-111111-11-1
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
χ102222222222222222-2-2-2-2222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000111111110000
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
χ1222222-2-22222222-2-2-2-222-2-22222-1-1-1-11111-2-2-1-1-1-11111-2-2220000000000001111-1-1-1-10000
χ132222-122-1-1-12222-1-1000022-1-1-1-122222222-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1000000000000
χ142222-122-1-1-12222-1-1000022-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-2-2-2-211111111000000000000
χ152222-1-2-2-1-1-12222110000-2-2-1-1-1-12222-2-2-2-211-1-1-1-1111100002-22-2-1-111-1-111000000000000
χ162222-1-2-2-1-1-12222110000-2-2-1-1-1-12222-2-2-2-211-1-1-1-111110000-22-2211-1-111-1-1000000000000
χ1722-2-22002-2-22-2-2200002i−2i0022-2-22-22-200000022-2-20000002i−2i00000000000000002i2i−2i−2i0000
χ1822-2-22002-2-22-2-2200002i−2i0022-2-2-11-1133−3−300-1-11133−3−3002i−2i000000000000−i3−i3i3i3−i−iii0000
χ1922-2-22002-2-22-2-2200002i−2i0022-2-2-11-11−3−33300-1-111−3−333002i−2i000000000000i3i3−i3−i3−i−iii0000
χ2022-2-22002-2-22-2-220000−2i2i0022-2-22-22-200000022-2-2000000−2i2i0000000000000000−2i−2i2i2i0000
χ2122-2-22002-2-22-2-220000−2i2i0022-2-2-11-1133−3−300-1-11133−3−300−2i2i000000000000i3i3−i3−i3ii−i−i0000
χ2222-2-22002-2-22-2-220000−2i2i0022-2-2-11-11−3−33300-1-111−3−33300−2i2i000000000000−i3−i3i3i3ii−i−i0000
χ232-22-2200-22-2-22-22002i−2i00002-22-22-2-220000002-22-200002i−2i000000000000002i−2i2i−2i00000000
χ242-22-2200-22-2-22-22002i−2i00002-22-2-111-13−33−300-11-113−33−32i−2i00000000000000−ii−ii−i3i3−i3i30000
χ252-22-2200-22-2-22-22002i−2i00002-22-2-111-1−33−3300-11-11−33−332i−2i00000000000000−ii−iii3−i3i3−i30000
χ262-22-2200-22-2-22-2200−2i2i00002-22-22-2-220000002-22-20000−2i2i00000000000000−2i2i−2i2i00000000
χ272-22-2200-22-2-22-2200−2i2i00002-22-2-111-13−33−300-11-113−33−3−2i2i00000000000000i−ii−ii3−i3i3−i30000
χ282-22-2200-22-2-22-2200−2i2i00002-22-2-111-1−33−3300-11-11−33−33−2i2i00000000000000i−ii−i−i3i3−i3i30000
χ292-2-2222-2-2-22-2-2222-200002-22-2-2222-2-22-2-222-22-2-222-2-220000000000000000000000000000
χ302-2-2222-2-2-22-2-2222-200002-22-2-22-1-111-111-12-2-111-1-111-100000000000000003−3−33−333−30000
χ312-2-2222-2-2-22-2-2222-200002-22-2-22-1-111-111-12-2-111-1-111-10000000000000000−333−33−3−330000
χ322-2-222-22-2-22-2-222-220000-222-2-2222-2-2-222-2-222-2-22-222-20000000000000000000000000000
χ332-2-222-22-2-22-2-222-220000-222-2-22-1-1111-1-11-22-111-11-1-1100000000000000003−3−333−3−330000
χ342-2-222-22-2-22-2-222-220000-222-2-22-1-1111-1-11-22-111-11-1-110000000000000000−333−3−333−30000
χ352-2-22-12-211-1-2-222-1100002-2-111-122-2-22-2-22-11-111-1-111-100000000−i3i3−i3i3−i3i3−i3i3000000000000
χ362-2-22-12-211-1-2-222-1100002-2-111-122-2-22-2-22-11-111-1-111-100000000i3−i3i3−i3i3−i3i3−i3000000000000
χ372-2-22-1-2211-1-2-2221-10000-22-111-122-2-2-222-21-1-111-11-1-1100000000−i3i3i3−i3−i3i3i3−i3000000000000
χ382-2-22-1-2211-1-2-2221-10000-22-111-122-2-2-222-21-1-111-11-1-1100000000i3−i3−i3i3i3−i3−i3i3000000000000
χ393333333333-1-1-1-1333333-1-1-1-1-1-100000000-1-100000000-1-1-1-111-1-11111-1-1-1-10000000011-1-1
χ403333333333-1-1-1-1333333-1-1-1-1-1-100000000-1-100000000-1-1-1-1-1-111-1-1-1-1111100000000-1-111
χ413333333333-1-1-1-133-3-3-3-3-1-1-1-1-1-100000000-1-100000000111111-1-11111-1-1-1-100000000-1-111
χ423333333333-1-1-1-133-3-3-3-3-1-1-1-1-1-100000000-1-1000000001111-1-111-1-1-1-111110000000011-1-1
χ4333333-3-3333-1-1-1-1-3-333-3-311-1-1-1-1000000001100000000-1-1111-1-1111-1-1-1-111000000001-1-11
χ4433333-3-3333-1-1-1-1-3-333-3-311-1-1-1-1000000001100000000-1-111-111-1-1-11111-1-100000000-111-1
χ4533333-3-3333-1-1-1-1-3-3-3-33311-1-1-1-100000000110000000011-1-11-1-1111-1-1-1-11100000000-111-1
χ4633333-3-3333-1-1-1-1-3-3-3-33311-1-1-1-100000000110000000011-1-1-111-1-1-11111-1-1000000001-1-11
χ474444-244-2-2-24444-2-2000044-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ484444-2-4-4-2-2-24444220000-4-4-2-2-2-2-2-2-2-22222221111-1-1-1-10000000000000000000000000000
χ4944-4-4-200-2224-4-4400000000-2-2224-44-4000000-2-22200000000000000000000000000000000
χ5044-4-4-200-2224-4-4400000000-2-222-22-222323−23−230011-1-1−3−3330000000000000000000000000000
χ5144-4-4-200-2224-4-4400000000-2-222-22-22−23−2323230011-1-133−3−30000000000000000000000000000
χ524-44-4-2002-22-44-4400000000-22-224-4-44000000-22-2200000000000000000000000000000000
χ534-44-4-2002-22-44-4400000000-22-22-222-223−2323−23001-11-1−33−330000000000000000000000000000
χ544-44-4-2002-22-44-4400000000-22-22-222-2−2323−2323001-11-13−33−30000000000000000000000000000
χ554-4-44-24-422-2-4-444-2200004-4-222-2-2-222-222-2-221-1-111-1-110000000000000000000000000000
χ564-4-44-2-4422-2-4-4442-20000-44-222-2-2-2222-2-222-21-1-11-111-10000000000000000000000000000
χ576666-366-3-3-3-2-2-2-2-3-30000-2-21111000000001100000000000022-2-2-1-1-1-11111000000000000
χ586666-366-3-3-3-2-2-2-2-3-30000-2-211110000000011000000000000-2-2221111-1-1-1-1000000000000
χ596666-3-6-6-3-3-3-2-2-2-233000022111100000000-1-10000000000002-2-22-1-11111-1-1000000000000
χ606666-3-6-6-3-3-3-2-2-2-233000022111100000000-1-1000000000000-222-211-1-1-1-111000000000000
χ6166-6-66006-6-6-222-200006i−6i00-2-22200000000000000000000−2i2i000000000000000000000000
χ6266-6-66006-6-6-222-20000−6i6i00-2-222000000000000000000002i−2i000000000000000000000000
χ636-66-6600-66-62-22-2006i−6i0000-22-22000000000000000000−2i2i00000000000000000000000000
χ646-66-6600-66-62-22-200−6i6i0000-22-220000000000000000002i−2i00000000000000000000000000
χ656-6-6666-6-6-6622-2-26-60000-22-222-200000000-22000000000000000000000000000000000000
χ666-6-666-66-6-6622-2-2-6600002-2-222-2000000002-2000000000000000000000000000000000000
χ676-6-66-36-633-322-2-2-330000-221-1-11000000001-10000000000000000−i3i3−i3i3i3−i3i3−i3000000000000
χ686-6-66-36-633-322-2-2-330000-221-1-11000000001-10000000000000000i3−i3i3−i3−i3i3−i3i3000000000000
χ696-6-66-3-6633-322-2-23-300002-21-1-1100000000-110000000000000000−i3i3i3−i3i3−i3−i3i3000000000000
χ706-6-66-3-6633-322-2-23-300002-21-1-1100000000-110000000000000000i3−i3−i3i3−i3i3i3−i3000000000000
χ711212-12-12-600-666-444-40000000022-2-20000000000000000000000000000000000000000000000
χ7212-1212-12-6006-664-44-4000000002-22-20000000000000000000000000000000000000000000000

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