Finite Group Databasebeta

← Group #13141001

Character table — Group #13141001

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222224466666666888121212121212121218182424242424242424242436363636363636363636363636363636363636363672727272727272
order1222344666121233666666412123666121212124412121212121212121212222446688881212242424242424242446612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111
χ31111111111111111111111111111111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1
χ41111111111111111111111111111111-1-11111111111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1
χ511111111111111111111-1-1-11111111111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-11111111111-1-1-1-111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1
χ711111111111111111111-1-1-111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111
χ811111111111111111111-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-11111
χ92222222222222-12-1-1-122222-1-1-1-1-122-100-1-122-1-1-1-1-1-102200002200000000-1-1-1-10-1-10000
χ102222222222222-12-1-1-122222-1-1-1-1-122-100-1-122-1-1-1-1-1-10-2-20000-2-20000000011110110000
χ112222222222222-12-1-1-122-2-2-2-1-1-1-1-122-10011-2-2-1-111110220000-2-20000000011110-1-10000
χ122222222222222-12-1-1-122-2-2-2-1-1-1-1-122-10011-2-2-1-111110-2-200002200000000-1-1-1-10110000
χ13222222222222-12-1222-1-1222-1-1-1-12-1-122222-1-1-1-1-1-1-1-120000-1-10000-1-10000000020000-1-1
χ14222222222222-12-1222-1-1222-1-1-1-12-1-12-2-222-1-1-1-1-1-1-1-1-200001100001100000000-2000011
χ15222222222222-12-1222-1-1-2-2-2-1-1-1-12-1-1222-2-211-1-1111120000-1-10000-1-100000000-2000011
χ16222222222222-12-1222-1-1-2-2-2-1-1-1-12-1-12-2-2-2-211-1-11111-20000110000110000000020000-1-1
χ1722222-2-2222-2-2222222220002222-2-2-2-2220000-2-20000-20000-2-2000022000000000000000
χ1822222-2-2222-2-2222222220002222-2-2-2-2-2-20000-2-2000020000220000-2-2000000000000000
χ1922222-2-2222-2-2-12-1222-1-1000-1-1-1-1-211-22200−i3i311−i3−i3i3i3-20000110000-1-10000000000000−i3i3
χ2022222-2-2222-2-2-12-1222-1-1000-1-1-1-1-211-22200i3−i311i3i3−i3−i3-20000110000-1-10000000000000i3−i3
χ2122222-2-2222-2-2-12-1222-1-1000-1-1-1-1-211-2-2-200−i3i311−i3−i3i3i320000-1-10000110000000000000i3−i3
χ2222222-2-2222-2-2-12-1222-1-1000-1-1-1-1-211-2-2-200i3−i311i3i3−i3−i320000-1-10000110000000000000−i3i3
χ232-22-22002-2-20022-22-2-22-200022-2-200002i−2i00000000000000000−i2i22−22i−2i22−2−2−i2−i2i2i20000000
χ242-22-22002-2-20022-22-2-22-200022-2-200002i−2i00000000000000000i2−i2−222i−2i−2−222i2i2−i2−i20000000
χ252-22-22002-2-20022-22-2-22-200022-2-20000−2i2i00000000000000000−i2i2−22−2i2i−2−222−i2−i2i2i20000000
χ262-22-22002-2-20022-22-2-22-200022-2-20000−2i2i00000000000000000i2−i22−2−2i2i22−2−2i2i2−i2−i20000000
χ272-2-2222-2-2-222-222-2-2-22-220002-2-22-22-220000002-2000002-200000000000000000002-20000
χ282-2-2222-2-2-222-222-2-2-22-220002-2-22-22-220000002-200000-220000000000000000000-220000
χ292-2-2222-2-2-222-22-1-211-1-22000-111-112-2-100−i3i300-11−i3i3−i3i302-200000000000000−i3i3−i3i30-110000
χ302-2-2222-2-2-222-22-1-211-1-22000-111-112-2-100−i3i300-11−i3i3−i3i30-2200000000000000i3−i3i3−i301-10000
χ312-2-2222-2-2-222-22-1-211-1-22000-111-112-2-100i3−i300-11i3−i3i3−i302-200000000000000i3−i3i3−i30-110000
χ322-2-2222-2-2-222-22-1-211-1-22000-111-112-2-100i3−i300-11i3−i3i3−i30-2200000000000000−i3i3−i3i301-10000
χ332-2-222-22-2-22-2222-2-2-22-220002-2-222-22-2000000-2200000002-200000000000000000002-200
χ342-2-222-22-2-22-2222-2-2-22-220002-2-222-22-2000000-220000000-220000000000000000000-2200
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
χ3744444-4-4444-4-44-24-2-2-244000-2-2-2-22-4-420000002200000000000000000000000000000000
χ3844444-4-4444-4-4-2-2-2-2-2-2-2-2000111122220000−2i32i3-1-1i3i3−i3−i30000000000000000000000000000
χ3944444-4-4444-4-4-2-2-2-2-2-2-2-20001111222200002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000
χ4044-4-4400-44-400444-44-4-4-40004-44-400000000000000000000000000000000000000000000
χ4144-4-4400-44-4004-242-22-4-4000-22-220000000000000000000000000000000006−6−660000000
χ4244-4-4400-44-4004-242-22-4-4000-22-22000000000000000000000000000000000−666−60000000
χ4344-4-4400-44-400-24-2-44-422000-22-22000000000000000000000−2i32i3000000000000000000000
χ4444-4-4400-44-400-24-2-44-422000-22-220000000000000000000002i3−2i3000000000000000000000
χ454-44-44004-4-4004-2-4-2224-4000-2-22200000000000000000000000−2i22i200000000i2i2−i2−i20000000
χ464-44-44004-4-4004-2-4-2224-4000-2-222000000000000000000000002i2−2i200000000−i2−i2i2i20000000
χ474-44-44004-4-400-2424-4-4-22000-2-22200004i−4i000000000000000000000−2i2i000000000000000
χ484-44-44004-4-400-2424-4-4-22000-2-2220000−4i4i0000000000000000000002i−2i000000000000000
χ494-4-4444-4-4-444-4-242-4-442-2000-222-2-4-224000000-2200000000000000000000000000000000
χ504-4-4444-4-4-444-4-2-2222-22-20001-1-112-22-200−2i32i3001-1i3−i3i3−i30000000000000000000000000000
χ514-4-4444-4-4-444-4-2-2222-22-20001-1-112-22-2002i3−2i3001-1−i3i3−i3i30000000000000000000000000000
χ524-4-444-44-4-44-444-2-422-2-44000-222-2-2-4420000002-200000000000000000000000000000000
χ534-4-444-44-4-44-44-242-4-442-2000-222-242-2-40000002-200000000000000000000000000000000
χ544-4-444-44-4-44-44-2-2222-22-20001-1-11-22-22000000-113-3-330000000000000000000000000000
χ554-4-444-44-4-44-44-2-2222-22-20001-1-11-22-22000000-11-333-30000000000000000000000000000
χ566666-366-3-3-3-3-3000000006-3-3000000000000000000000002200002200-1-1-1-10000000-1-100
χ576666-366-3-3-3-3-3000000006-3-300000000000000000000000-2-20000-2-200111100000001100
χ586666-366-3-3-3-3-300000000-63300000000000000000000000220000-2-20011110000000-1-100
χ596666-366-3-3-3-3-300000000-63300000000000000000000000-2-200002200-1-1-1-100000001100
χ606-6-66-3-6633-33-3000000000−3i33i3000000000000000000000002-200000000−i3i3−i3i30000000-1100
χ616-6-66-3-6633-33-3000000000−3i33i300000000000000000000000-2200000000i3−i3i3−i300000001-100
χ626-6-66-3-6633-33-30000000003i3−3i3000000000000000000000002-200000000i3−i3i3−i30000000-1100
χ636-6-66-3-6633-33-30000000003i3−3i300000000000000000000000-2200000000−i3i3−i3i300000001-100
χ6488-8-8800-88-800-4-4-44-44440002-22-200000000000000000000000000000000000000000000
χ658-88-88008-8-800-4-44-444-4400022-2-200000000000000000000000000000000000000000000
χ6612121212-6-12-12-6-6-66600000000000000000000000000000000000000000000000000000000000
χ671212-12-12-6006-660000000000000000000000000000000000000000000000i6−i6−i6i600000000000
χ681212-12-12-6006-660000000000000000000000000000000000000000000000−i6i6i6−i600000000000
χ6912-1212-12-600-66600000000000000000000000000000000000000000022−2200−2−22200000000000
χ7012-1212-12-600-666000000000000000000000000000000000000000000−22220022−2−200000000000
χ7112-12-1212-612-1266-6-6600000000000000000000000000000000000000000000000000000000000

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