Finite Group Databasebeta

← Group #13137977

Character table — Group #13137977

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222224466666666888121212121212121218182424242424242424242436363636363636363636363636363636363636363672727272727272
order122234466612123366666641212366612121212221212121212121212121244444668888121224242424242424244121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1
χ31111111111111111111111111111111-1-11111111111-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111-1-11111111111-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111
χ511111111111111111111-1-1-11111111111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-11111111111-1-1-1-111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1
χ711111111111111111111-1-1-111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1
χ811111111111111111111-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111-1-111
χ92222222222222-12-12-12-1222-1-1-1-12-12-10022-1-1-1-1-1-1-1-100022000022000000-1-1-1-100000-1-1
χ102222222222222-12-12-12-1222-1-1-1-12-12-10022-1-1-1-1-1-1-1-1000-2-20000-2-200000011110000011
χ112222222222222-12-12-12-1-2-2-2-1-1-1-12-12-100-2-211-1-11111000220000-2-2000000111100000-1-1
χ122222222222222-12-12-12-1-2-2-2-1-1-1-12-12-100-2-211-1-11111000-2-2000022000000-1-1-1-10000011
χ13222222222222-12-12-12-12222-1-1-1-1-12-1200-1-122-1-1-1-1-1-10220000220000-1-1-1-10000000-1-100
χ14222222222222-12-12-12-12222-1-1-1-1-12-1200-1-122-1-1-1-1-1-10-2-20000-2-20000111100000001100
χ15222222222222-12-12-12-12-2-2-2-1-1-1-1-12-120011-2-2-1-111110220000-2-2000011110000000-1-100
χ16222222222222-12-12-12-12-2-2-2-1-1-1-1-12-120011-2-2-1-111110-2-20000220000-1-1-1-100000001100
χ1722222-2-2222-2-2222222220002222-2-2-2-2220000-2-20000-20000220000-2-2000000000000000
χ1822222-2-2222-2-2222222220002222-2-2-2-2-2-20000-2-2000020000-2-2000022000000000000000
χ1922-2-22002-2-2002222-2-2-2-200022-2-200002-20000000000000002-22−22−20022−2−222−2−20000000
χ2022-2-22002-2-2002222-2-2-2-200022-2-200002-20000000000000002-2−22−2200−2−222−2−2220000000
χ2122-2-22002-2-2002222-2-2-2-200022-2-20000-22000000000000000-222−2−220022−2−2−2−2220000000
χ2222-2-22002-2-2002222-2-2-2-200022-2-20000-22000000000000000-22−222−200−2−22222−2−20000000
χ232-22-222-2-2-222-222-2-222-2-20002-22-22-2-220000002-200000002i−2i0000000000000000000002i−2i
χ242-22-222-2-2-222-222-2-222-2-20002-22-22-2-220000002-20000000−2i2i000000000000000000000−2i2i
χ252-22-222-2-2-222-22-1-212-1-21000-11-1121-2-100003−3-1133−3−30002i−2i000000000000−i3i3−i3i300000−ii
χ262-22-222-2-2-222-22-1-212-1-21000-11-1121-2-100003−3-1133−3−3000−2i2i000000000000i3−i3i3−i300000i−i
χ272-22-222-2-2-222-22-1-212-1-21000-11-1121-2-10000−33-11−3−3330002i−2i000000000000i3−i3i3−i300000−ii
χ282-22-222-2-2-222-22-1-212-1-21000-11-1121-2-10000−33-11−3−333000−2i2i000000000000−i3i3−i3i300000i−i
χ292-22-22-22-2-22-2222-2-222-2-20002-22-2-222-2000000-22000002i−2i0000000000000000000002i−2i00
χ302-22-22-22-2-22-2222-2-222-2-20002-22-2-222-2000000-2200000−2i2i000000000000000000000−2i2i00
χ312-22-22-22-2-22-22-121-2-121-2000-11-1112-1-2003−3001-13−33−302i−2i0000000000−i3i3−i3i30000000−ii00
χ322-22-22-22-2-22-22-121-2-121-2000-11-1112-1-2003−3001-13−33−30−2i2i0000000000i3−i3i3−i30000000i−i00
χ332-22-22-22-2-22-22-121-2-121-2000-11-1112-1-200−33001-1−33−3302i−2i0000000000i3−i3i3−i30000000−ii00
χ342-22-22-22-2-22-22-121-2-121-2000-11-1112-1-200−33001-1−33−330−2i2i0000000000−i3i3−i3i30000000i−i00
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
χ3744444-4-4444-4-44-24-24-24-2000-2-2-2-2-42-420000002200000000000000000000000000000000
χ3844444-4-4444-4-4-24-24-24-24000-2-2-2-22-42-40000002200000000000000000000000000000000
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
χ4144-4-44004-4-4004-24-2-42-42000-2-222000000000000000000000000022−22000000−2−2220000000
χ4244-4-44004-4-4004-24-2-42-42000-2-2220000000000000000000000000−222200000022−2−20000000
χ4344-4-44004-4-400-24-242-42-4000-2-2220000000000000000000000022−220000−2−22200000000000
χ4444-4-44004-4-400-24-242-42-4000-2-22200000000000000000000000−2222000022−2−200000000000
χ454-44-444-4-4-444-4-242-4-242-4000-22-22-2-424000000-2200000000000000000000000000000000
χ464-44-444-4-4-444-4-2-222-2-2220001-11-1-222-2000023−231-1−3−3330000000000000000000000000000
χ474-44-444-4-4-444-4-2-222-2-2220001-11-1-222-20000−23231-133−3−30000000000000000000000000000
χ484-44-44-44-4-44-444-2-424-2-42000-22-22-4-2420000002-200000000000000000000000000000000
χ494-44-44-44-4-44-44-2-222-2-2220001-11-12-2-220023−2300-11−33−330000000000000000000000000000
χ504-44-44-44-4-44-44-2-222-2-2220001-11-12-2-2200−232300-113−33−30000000000000000000000000000
χ514-4-44400-44-40044-4-4-4-4440004-4-4400000000000000000000000000000000000000000000
χ524-4-44400-44-4004-2-42-424-2000-222-2000000000000000000000000000000000i6−i6−i6i60000000
χ534-4-44400-44-4004-2-42-424-2000-222-2000000000000000000000000000000000−i6i6i6−i60000000
χ544-4-44400-44-400-242-42-4-24000-222-200000000000000000000000000000i6−i6−i6i600000000000
χ554-4-44400-44-400-242-42-4-24000-222-200000000000000000000000000000−i6i6i6−i600000000000
χ566666-366-3-3-3-3-3000000006-3-30000000022000000000020000-1-10000-1-1000000002-1-10000
χ576666-366-3-3-3-3-3000000006-3-300000000-2-20000000000-200001100001100000000-2110000
χ586666-366-3-3-3-3-300000000-6330000000022000000000020000-1-10000-1-100000000-2110000
χ596666-366-3-3-3-3-300000000-63300000000-2-20000000000-2000011000011000000002-1-10000
χ606666-3-6-6-3-3-333000000000−3i33i300000000220000000000-20000-1-1000011000000000−i3i30000
χ616666-3-6-6-3-3-333000000000−3i33i300000000-2-2000000000020000110000-1-1000000000i3−i30000
χ626666-3-6-6-3-3-3330000000003i3−3i300000000220000000000-20000-1-1000011000000000i3−i30000
χ636666-3-6-6-3-3-3330000000003i3−3i300000000-2-2000000000020000110000-1-1000000000−i3i30000
χ6488-8-88008-8-800-4-4-4-4444400022-2-200000000000000000000000000000000000000000000
χ658-8-88800-88-800-4-44444-4-40002-2-2200000000000000000000000000000000000000000000
χ661212-12-12-600-6660000000000000000000004-4000000000000000-22000000000000000000000
χ671212-12-12-600-666000000000000000000000-440000000000000002-2000000000000000000000
χ6812-1212-12-612-1266-6-6600000000000000000000000000000000000000000000000000000000000
χ6912-1212-12-6-121266-66-600000000000000000000000000000000000000000000000000000000000
χ7012-12-1212-6006-660000000000000000000000000000000000000000000023−23000000000000000
χ7112-12-1212-6006-6600000000000000000000000000000000000000000000−2323000000000000000

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