Finite Group Databasebeta

← Group #11722538

Character table — Group #11722538

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1122246666669912121212121818181818181818183636363611222466666699121212121218181818181818181836363636
order1223663366664436666224441212121266121222266666666644666662244412121212661212
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-11-1-11111-1-1-1-11111111111111111111-1-11-1-11111-1-1-1-1
χ3111111111111-1-1111111-1-11-1-1-1-1-11-11-1111111111111-1-1111111-1-11-1-1-1-1-11-11-1
χ4111111111111-1-111111-11-1-11-1-1-1-1-11-11111111111111-1-111111-11-1-11-1-1-1-1-11-11
χ511-111-111-1-111111-11-1-11-1-1-1111-1-11-1-1111-111-111-1-111111-11-1-11-1-1-1111-1-11-1-11
χ611-111-111-1-111111-11-1-1-11-11-111-1-1-111-111-111-111-1-111111-11-1-1-11-11-111-1-1-111-1
χ711-111-111-1-111-1-11-11-1-1111-1-1-1-11111-1-111-111-111-1-111-1-11-11-1-1111-1-1-1-11111-1-1
χ811-111-111-1-111-1-11-11-1-1-1-1111-1-111-1-11111-111-111-1-111-1-11-11-1-1-1-1111-1-111-1-111
χ92222222-122-1200-1-1-1-1-10200200000-10-12222222-122-1200-1-1-1-1-10200200000-10-1
χ102222222-122-1200-1-1-1-1-10-200-2000001012222222-122-1200-1-1-1-1-10-200-200000101
χ11222222-12-1-12-122-12-1-1-100200-1-1-1-10000222222-12-1-12-122-12-1-1-100200-1-1-1-10000
χ12222222-12-1-12-1-2-2-12-1-1-100-20011110000222222-12-1-12-1-2-2-12-1-1-100-20011110000
χ1322-222-22-1-2-2-1200-11-1110200-200000-10122-222-22-1-2-2-1200-11-1110200-200000-101
χ1422-222-22-1-2-2-1200-11-1110-20020000010-122-222-22-1-2-2-1200-11-1110-20020000010-1
χ1522-222-2-12112-122-1-2-11100-200-1-111000022-222-2-12112-122-1-2-11100-200-1-1110000
χ1622-222-2-12112-1-2-2-1-2-1110020011-1-1000022-222-2-12112-1-2-2-1-2-1110020011-1-10000
χ172-202-202200-2-22i−2i20-200000002i−2i0000002-202-202200-2-22i−2i20-200000002i−2i000000
χ182-202-202200-2-2−2i2i20-20000000−2i2i0000002-202-202200-2-2−2i2i20-20000000−2i2i000000
χ192-202-20-12−i3i3-212i−2i-101−i3i300000−ii3−300002-202-20-12−i3i3-212i−2i-101−i3i300000−ii3−30000
χ202-202-20-12−i3i3-21−2i2i-101−i3i300000i−i−3300002-202-20-12−i3i3-21−2i2i-101−i3i300000i−i−330000
χ212-202-20-12i3−i3-212i−2i-101i3−i300000−ii−3300002-202-20-12i3−i3-212i−2i-101i3−i300000−ii−330000
χ222-202-20-12i3−i3-21−2i2i-101i3−i300000i−i3−300002-202-20-12i3−i3-21−2i2i-101i3−i300000i−i3−30000
χ23444444-2-2-2-2-2-2001-21110000000000000444444-2-2-2-2-2-2001-21110000000000000
χ2444-444-4-2-222-2-200121-1-1000000000000044-444-4-2-222-2-200121-1-10000000000000
χ254-404-404-2002-400-2020000000000000004-404-404-2002-400-202000000000000000
χ264-404-40-2-2−2i32i3220010-1i3−i300000000000004-404-40-2-2−2i32i3220010-1i3−i30000000000000
χ274-404-40-2-22i3−2i3220010-1−i3i300000000000004-404-40-2-22i3−2i3220010-1−i3i30000000000000
χ28666-3-3-30000000000000200200000-10-10666-3-3-30000000000000200200000-10-10
χ29666-3-3-30000000000000-200-2000001010666-3-3-30000000000000-200-2000001010
χ3066-6-3-330000000000000200-200000-101066-6-3-330000000000000200-200000-1010
χ3166-6-3-330000000000000-20020000010-1066-6-3-330000000000000-20020000010-10
χ3212-120-6600000000000000000000000000012-120-66000000000000000000000000000
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ341111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111
χ35111111111111-1-1111111-1-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-111111-11-11
χ36111111111111-1-111111-11-1-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-111111-11-1
χ3711-111-111-1-111111-11-1-11-1-1-1111-1-11-1-11-1-11-1-11-1-111-1-1-1-1-11-111-1111-1-1-111-111-1
χ3811-111-111-1-111111-11-1-1-11-11-111-1-1-111-1-1-11-1-11-1-111-1-1-1-1-11-1111-11-11-1-1111-1-11
χ3911-111-111-1-111-1-11-11-1-1111-1-1-1-11111-1-1-1-11-1-11-1-111-1-111-11-111-1-1-11111-1-1-1-111
χ4011-111-111-1-111-1-11-11-1-1-1-1111-1-111-1-111-1-11-1-11-1-111-1-111-11-11111-1-1-111-1-111-1-1
χ412222222-122-1200-1-1-1-1-10200200000-10-1-2-2-2-2-2-2-21-2-21-200111110-200-200000101
χ422222222-122-1200-1-1-1-1-10-200-200000101-2-2-2-2-2-2-21-2-21-200111110200200000-10-1
χ43222222-12-1-12-122-12-1-1-100200-1-1-1-10000-2-2-2-2-2-21-211-21-2-21-211100-20011110000
χ44222222-12-1-12-1-2-2-12-1-1-100-20011110000-2-2-2-2-2-21-211-21221-211100200-1-1-1-10000
χ4522-222-22-1-2-2-1200-11-1110200-200000-101-2-22-2-22-21221-2001-11-1-10-20020000010-1
χ4622-222-22-1-2-2-1200-11-1110-20020000010-1-2-22-2-22-21221-2001-11-1-10200-200000-101
χ4722-222-2-12112-122-1-2-11100-200-1-1110000-2-22-2-221-2-1-1-21-2-2121-1-10020011-1-10000
χ4822-222-2-12112-1-2-2-1-2-1110020011-1-10000-2-22-2-221-2-1-1-2122121-1-100-200-1-1110000
χ492-202-202200-2-22i−2i20-200000002i−2i000000-220-220-2-20022−2i2i-2020000000−2i2i000000
χ502-202-202200-2-2−2i2i20-20000000−2i2i000000-220-220-2-200222i−2i-20200000002i−2i000000
χ512-202-20-12−i3i3-212i−2i-101−i3i300000−ii3−30000-220-2201-2i3−i32-1−2i2i10-1i3−i300000i−i−330000
χ522-202-20-12−i3i3-21−2i2i-101−i3i300000i−i−330000-220-2201-2i3−i32-12i−2i10-1i3−i300000−ii3−30000
χ532-202-20-12i3−i3-212i−2i-101i3−i300000−ii−330000-220-2201-2−i3i32-1−2i2i10-1−i3i300000i−i3−30000
χ542-202-20-12i3−i3-21−2i2i-101i3−i300000i−i3−30000-220-2201-2−i3i32-12i−2i10-1−i3i300000−ii−330000
χ55444444-2-2-2-2-2-2001-21110000000000000-4-4-4-4-4-422222200-12-1-1-10000000000000
χ5644-444-4-2-222-2-200121-1-10000000000000-4-44-4-4422-2-22200-1-2-1110000000000000
χ574-404-404-2002-400-202000000000000000-440-440-4200-240020-2000000000000000
χ584-404-40-2-2−2i32i3220010-1i3−i30000000000000-440-440222i3−2i3-2-200-101−i3i30000000000000
χ594-404-40-2-22i3−2i3220010-1−i3i30000000000000-440-44022−2i32i3-2-200-101i3−i30000000000000
χ60666-3-3-30000000000000200200000-10-10-6-6-63330000000000000-200-2000001010
χ61666-3-3-30000000000000-200-2000001010-6-6-63330000000000000200200000-10-10
χ6266-6-3-330000000000000200-200000-1010-6-6633-30000000000000-20020000010-10
χ6366-6-3-330000000000000-20020000010-10-6-6633-30000000000000200-200000-1010
χ6412-120-66000000000000000000000000000-121206-6000000000000000000000000000

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