Finite Group Databasebeta

← Group #13140953

Character table — Group #13140953

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222224466666666888121212121212121218182424242424242424242436363636363636363636363636363636363636363672727272727272
order122234466612123366666641212366612121212441212121212121212121244444888812121212242424242424242426612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1
χ31111111111111111111111111111111-1-1111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-1
χ511111111111111111111-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1
χ711111111111111111111-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111
χ811111111111111111111-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-1
χ92222222222222-122-1-1-12222-1-1-1-1-12-1200-1-122-1-1-1-1-1-100022002200000000-1-1-1-1000-1-100
χ102222222222222-122-1-1-12222-1-1-1-1-12-1200-1-122-1-1-1-1-1-1000-2-200-2-20000000011110001100
χ112222222222222-122-1-1-12-2-2-2-1-1-1-1-12-120011-2-2-1-111110002200-2-2000000001111000-1-100
χ122222222222222-122-1-1-12-2-2-2-1-1-1-1-12-120011-2-2-1-11111000-2-2002200000000-1-1-1-10001100
χ13222222222222-12-1-1222-1222-1-1-1-12-12-10022-1-1-1-1-1-1-1-12200022000000-1-1-1-1000000000-1-1
χ14222222222222-12-1-1222-1222-1-1-1-12-12-10022-1-1-1-1-1-1-1-1-2-2000-2-2000000111100000000011
χ15222222222222-12-1-1222-1-2-2-2-1-1-1-12-12-100-2-211-1-1111122000-2-20000001111000000000-1-1
χ16222222222222-12-1-1222-1-2-2-2-1-1-1-12-12-100-2-211-1-11111-2-200022000000-1-1-1-100000000011
χ1722222-2-2222-2-2222222220002222-2-2-2-2220000-2-2000000-200000022-2-2000000000000000
χ1822222-2-2222-2-2222222220002222-2-2-2-2-2-20000-2-20000002000000-2-222000000000000000
χ192-22-222-22-2-22-222-2-2-22-220002-2-2222-2-20000002-200000002i−2i00000000000000000002i−2i00
χ202-22-222-22-2-22-222-2-2-22-220002-2-2222-2-20000002-20000000−2i2i0000000000000000000−2i2i00
χ212-22-222-22-2-22-22-1-2-21-112000-111-1-121-200−i3i300-11−i3−i3i3i30002i−2i00000000000033−3−3000−ii00
χ222-22-222-22-2-22-22-1-2-21-112000-111-1-121-200−i3i300-11−i3−i3i3i3000−2i2i000000000000−3−333000i−i00
χ232-22-222-22-2-22-22-1-2-21-112000-111-1-121-200i3−i300-11i3i3−i3−i30002i−2i000000000000−3−333000−ii00
χ242-22-222-22-2-22-22-1-2-21-112000-111-1-121-200i3−i300-11i3i3−i3−i3000−2i2i00000000000033−3−3000i−i00
χ252-22-22-222-2-2-2222-2-2-22-220002-2-22-2-222000000-2200002-20000000000000000000000002-2
χ262-22-22-222-2-2-2222-2-2-22-220002-2-22-2-222000000-220000-22000000000000000000000000-22
χ272-22-22-222-2-2-22-1211-22-2-1000-111-1-212-10000−i3i31-1−i3i3−i3i32-200000000000−i3−i3i3i3000000000-11
χ282-22-22-222-2-2-22-1211-22-2-1000-111-1-212-10000−i3i31-1−i3i3−i3i3-2200000000000i3i3−i3−i30000000001-1
χ292-22-22-222-2-2-22-1211-22-2-1000-111-1-212-10000i3−i31-1i3−i3i3−i32-200000000000i3i3−i3−i3000000000-11
χ302-22-22-222-2-2-22-1211-22-2-1000-111-1-212-10000i3−i31-1i3−i3i3−i3-2200000000000−i3−i3i3i30000000001-1
χ312-2-22200-22-200222-2-2-22-200022-2-200002i−2i0000000000000002−2−i2i22i−2i002−22−2−i2i2−i2i20000000
χ322-2-22200-22-200222-2-2-22-200022-2-200002i−2i000000000000000−22i2−i22i−2i00−22−22i2−i2i2−i20000000
χ332-2-22200-22-200222-2-2-22-200022-2-20000−2i2i0000000000000002−2i2−i2−2i2i002−22−2i2−i2i2−i20000000
χ342-2-22200-22-200222-2-2-22-200022-2-20000−2i2i000000000000000−22−i2i2−2i2i00−22−22−i2i2−i2i20000000
χ35444444444444-2-2-2-2-2-2-2-24441111-2-2-2-200-2-2-2-21111110000000000000000000000000000
χ36444444444444-2-2-2-2-2-2-2-2-4-4-41111-2-2-2-200222211-1-1-1-10000000000000000000000000000
χ3744444-4-4444-4-44-244-2-2-24000-2-2-2-22-42-40000002200000000000000000000000000000000
χ3844444-4-4444-4-4-24-2-2444-2000-2-2-2-2-42-420000002200000000000000000000000000000000
χ3944444-4-4444-4-4-2-2-2-2-2-2-2-200011112222000000-1-13-3-330000000000000000000000000000
χ4044444-4-4444-4-4-2-2-2-2-2-2-2-200011112222000000-1-1-333-30000000000000000000000000000
χ4144-4-4400-4-440044-444-4-4-40004-44-400000000000000000000000000000000000000000000
χ4244-4-4400-4-44004-2-44-222-4000-22-22000000000000000000000000000000000i6−i6−i6i60000000
χ4344-4-4400-4-44004-2-44-222-4000-22-22000000000000000000000000000000000−i6i6i6−i60000000
χ4444-4-4400-4-4400-242-24-4-42000-22-2200000000000000000000000000000i6−i6−i6i600000000000
χ4544-4-4400-4-4400-242-24-4-42000-22-2200000000000000000000000000000−i6i6i6−i600000000000
χ464-44-444-44-4-44-4-2422-44-4-2000-222-24-2-42000000-2200000000000000000000000000000000
χ474-44-444-44-4-44-4-2-2222-22-20001-1-11-2-22200−2i32i3001-1i3i3−i3−i30000000000000000000000000000
χ484-44-444-44-4-44-4-2-2222-22-20001-1-11-2-222002i3−2i3001-1−i3−i3i3i30000000000000000000000000000
χ494-44-44-444-4-4-444-2-4-42-224000-222-22-4-240000002-200000000000000000000000000000000
χ504-44-44-444-4-4-44-2-2222-22-20001-1-1122-2-20000−2i32i3-11i3−i3i3−i30000000000000000000000000000
χ514-44-44-444-4-4-44-2-2222-22-20001-1-1122-2-200002i3−2i3-11−i3i3−i3i30000000000000000000000000000
χ524-4-44400-44-4004-24-422-2-4000-2-22200000000000000000000000−2i22i200000000i2−i2i2−i20000000
χ534-4-44400-44-4004-24-422-2-4000-2-222000000000000000000000002i2−2i200000000−i2i2−i2i20000000
χ544-4-44400-44-400-24-22-4-442000-2-22200000000000000000000022−22000000−22−2200000000000
χ554-4-44400-44-400-24-22-4-442000-2-222000000000000000000000−22220000002−22−200000000000
χ566666-366-3-3-3-3-3000000006-3-300000000220000000000002000000-1-1-1-1000000002-1-10000
χ576666-366-3-3-3-3-3000000006-3-300000000-2-2000000000000-2000000111100000000-2110000
χ586666-366-3-3-3-3-300000000-63300000000220000000000002000000-1-1-1-100000000-2110000
χ596666-366-3-3-3-3-300000000-63300000000-2-2000000000000-20000001111000000002-1-10000
χ606666-3-6-6-3-3-333000000000−3i33i30000000022000000000000-2000000-1-111000000000−i3i30000
χ616666-3-6-6-3-3-333000000000−3i33i300000000-2-2000000000000200000011-1-1000000000i3−i30000
χ626666-3-6-6-3-3-3330000000003i3−3i30000000022000000000000-2000000-1-111000000000i3−i30000
χ636666-3-6-6-3-3-3330000000003i3−3i300000000-2-2000000000000200000011-1-1000000000−i3i30000
χ6488-8-8800-8-8800-4-44-4-44440002-22-200000000000000000000000000000000000000000000
χ658-8-88800-88-800-4-4-4444-4400022-2-200000000000000000000000000000000000000000000
χ661212-12-12-60066-60000000000000000000000000000000000000000000023−23000000000000000
χ671212-12-12-60066-600000000000000000000000000000000000000000000−2323000000000000000
χ6812-1212-12-612-12-666-6600000000000000000000000000000000000000000000000000000000000
χ6912-1212-12-6-1212-6666-600000000000000000000000000000000000000000000000000000000000
χ7012-12-1212-6006-660000000000000000000004i−4i0000000000000000000−2i2i00000000000000000
χ7112-12-1212-6006-66000000000000000000000−4i4i00000000000000000002i−2i00000000000000000

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