Finite Group Databasebeta

← Group #13140574

Character table — Group #13140574

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222224466666666888121212121212121224242424242424242424363636363636363636363636363636363636727272727272727272
order12223446661212336666662663666121212126666666612122466888812122424242424242424444121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111
χ411111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-1-111-1-1
χ511111111111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-11111
χ711111111111111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1111111-1-1
χ811111111111111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-111
χ92222222222222-122-1-1-12222-1-1-1-1-12-1222-1-1-1-1-1-1-1-100000022000000-1-1-1-100200-1-100
χ102222222222222-122-1-1-12222-1-1-1-1-12-1222-1-1-1-1-1-1-1-1000000-2-2000000111100-2001100
χ112222222222222-122-1-1-12-2-2-2-1-1-1-1-12-12-2-2111111-1-100000022000000-1-1-1-100-2001100
χ122222222222222-122-1-1-12-2-2-2-1-1-1-1-12-12-2-2111111-1-1000000-2-2000000111100200-1-100
χ13222222222222-12-1-1222-1222-1-1-1-12-12-1-1-122-1-1-1-1-1-10000220000-1-1-1-100002000000-1-1
χ14222222222222-12-1-1222-1222-1-1-1-12-12-1-1-122-1-1-1-1-1-10000-2-2000011110000-200000011
χ15222222222222-12-1-1222-1-2-2-2-1-1-1-12-12-111-2-21111-1-10000220000-1-1-1-10000-200000011
χ16222222222222-12-1-1222-1-2-2-2-1-1-1-12-12-111-2-21111-1-10000-2-20000111100002000000-1-1
χ1722222-2-2222-2-2222222220002222-2-2-2-200000000-2-22-2220000-2-200000000000000000
χ1822222-2-2222-2-2222222220002222-2-2-2-200000000-2-2-22-2-200002200000000000000000
χ192-22-222-2-22-22-222-2-2-22-220002-2-2222-2-2000000002-20000002i−2i0000002i2i−2i−2i000000000
χ202-22-222-2-22-22-222-2-2-22-220002-2-2222-2-2000000002-2000000−2i2i000000−2i−2i2i2i000000000
χ212-22-222-2-22-22-22-1-2-21-112000-111-1-121-200−i3i3−i3−i3i3i3-110000002i−2i000000−i−iii000003−300
χ222-22-222-2-22-22-22-1-2-21-112000-111-1-121-200−i3i3−i3−i3i3i3-11000000−2i2i000000ii−i−i00000−3300
χ232-22-222-2-22-22-22-1-2-21-112000-111-1-121-200i3−i3i3i3−i3−i3-110000002i−2i000000−i−iii00000−3300
χ242-22-222-2-22-22-22-1-2-21-112000-111-1-121-200i3−i3i3i3−i3−i3-11000000−2i2i000000ii−i−i000003−300
χ252-22-22-22-22-2-2222-2-2-22-220002-2-22-2-22200000000-2200002-2000022-2-20000000000000
χ262-22-22-22-22-2-2222-2-2-22-220002-2-22-2-22200000000-220000-220000-2-2220000000000000
χ272-22-22-22-22-2-22-1211-22-2-1000-111-1-212-1−i3i300−i3i3−i3i31-100002-20000-1-11100000000000−i3i3
χ282-22-22-22-22-2-22-1211-22-2-1000-111-1-212-1−i3i300−i3i3−i3i31-10000-22000011-1-100000000000i3−i3
χ292-22-22-22-22-2-22-1211-22-2-1000-111-1-212-1i3−i300i3−i3i3−i31-100002-20000-1-11100000000000i3−i3
χ302-22-22-22-22-2-22-1211-22-2-1000-111-1-212-1i3−i300i3−i3i3−i31-10000-22000011-1-100000000000−i3i3
χ31444444444444-2-2-2-2-2-2-2-24441111-2-2-2-2-2-2-2-2111111000000000000000000000000000
χ32444444444444-2-2-2-2-2-2-2-2-4-4-41111-2-2-2-22222-1-1-1-111000000000000000000000000000
χ3344444-4-4444-4-44-244-2-2-24000-2-2-2-22-42-40000000022000000000000000000000000000
χ3444444-4-4444-4-4-24-2-2444-2000-2-2-2-2-42-420000000022000000000000000000000000000
χ3544444-4-4444-4-4-2-2-2-2-2-2-2-20001111222200003-3-33-1-1000000000000000000000000000
χ3644444-4-4444-4-4-2-2-2-2-2-2-2-2000111122220000-333-3-1-1000000000000000000000000000
χ3744-4-44004-4-400444-44-4-4-400044-4-400000000000000000000000000000000000000000
χ3844-4-44004-4-4004-24-4-222-4000-2-22200000000000000000000000000006−66−6000000000
χ3944-4-44004-4-4004-24-4-222-4000-2-2220000000000000000000000000000−66−66000000000
χ4044-4-44004-4-400-24-224-4-42000-2-2220000000000000000000000006−66−60000000000000
χ4144-4-44004-4-400-24-224-4-42000-2-222000000000000000000000000−66−660000000000000
χ424-44-444-4-44-44-4-2422-44-4-2000-222-24-2-4200000000-22000000000000000000000000000
χ434-44-444-4-44-44-4-2-2222-22-20001-1-11-2-22200−2i32i3i3i3−i3−i31-1000000000000000000000000000
χ444-44-444-4-44-44-4-2-2222-22-20001-1-11-2-222002i3−2i3−i3−i3i3i31-1000000000000000000000000000
χ454-44-44-44-44-4-444-2-4-42-224000-222-22-4-24000000002-2000000000000000000000000000
χ464-44-44-44-44-4-44-2-2222-22-20001-1-1122-2-2−2i32i300i3−i3i3−i3-11000000000000000000000000000
χ474-44-44-44-44-4-44-2-2222-22-20001-1-1122-2-22i3−2i300−i3i3−i3i3-11000000000000000000000000000
χ484-4-44400-4-440044-44-4-44-40004-44-400000000000000000000000000000000000000000
χ494-4-44400-4-44004-2-4422-2-4000-22-220000000000000000000000000000i6−i6−i6i6000000000
χ504-4-44400-4-44004-2-4422-2-4000-22-220000000000000000000000000000−i6i6i6−i6000000000
χ514-4-44400-4-4400-242-2-4-442000-22-220000000000000000000000006−6−660000000000000
χ524-4-44400-4-4400-242-2-4-442000-22-22000000000000000000000000−666−60000000000000
χ536666-366-3-3-3-3-3000000006-3-300000000000000000022-1-10000-1-100000000020-1-10000
χ546666-366-3-3-3-3-3000000006-3-3000000000000000000-2-211000011000000000-20110000
χ556666-366-3-3-3-3-300000000-63300000000000000000022-1-10000-1-1000000000-20110000
χ566666-366-3-3-3-3-300000000-633000000000000000000-2-21100001100000000020-1-10000
χ576666-3-6-6-3-3-333000000000−3i33i30000000000000000002-2-1-100001100000000000−i3i30000
χ586666-3-6-6-3-3-333000000000−3i33i3000000000000000000-22110000-1-100000000000i3−i30000
χ596666-3-6-6-3-3-3330000000003i3−3i30000000000000000002-2-1-100001100000000000i3−i30000
χ606666-3-6-6-3-3-3330000000003i3−3i3000000000000000000-22110000-1-100000000000−i3i30000
χ6188-8-88008-8-800-4-4-44-444400022-2-200000000000000000000000000000000000000000
χ628-8-88800-8-8800-4-44-444-440002-22-200000000000000000000000000000000000000000
χ631212-12-12-600-66600000000000000000000000000000000000000023−2300000000000000000
χ641212-12-12-600-666000000000000000000000000000000000000000−232300000000000000000
χ6512-1212-12-612-126-66-6600000000000000000000000000000000000000000000000000000000
χ6612-1212-12-6-12126-666-600000000000000000000000000000000000000000000000000000000
χ6712-12-1212-60066-6000000000000000000000000000000000−2i32i300000000000000000000000
χ6812-12-1212-60066-60000000000000000000000000000000002i3−2i300000000000000000000000

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