Finite Group Databasebeta

← Group #13140588

Character table — Group #13140588

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222224444444466666666121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order1222344666226666121233666666366612121212226666666666661212224666688881212242424242424242424661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-111
χ51111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-111111111111111-1-1-1-1-1-1
χ61111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ71111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-11111-1-1-1-1-11-1-111
χ81111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-111111-111-1-1
χ92222222222222222222-12-1-12-12-1-1-1-12-12-100000022-1-1-1-1-1-1-1-10000000220000-1-1-1-1000020-1-100
χ102222222222222222222-12-1-12-12-1-1-1-12-12-100000022-1-1-1-1-1-1-1-10000000-2-2000011110000-201100
χ11222222222222222222-12-122-12-1-1-1-1-1-12-12000000-1-122-1-1-1-1-1-100000000022000000-1-1-1-10200-1-1
χ12222222222222222222-12-122-12-1-1-1-1-1-12-12000000-1-122-1-1-1-1-1-1000000000-2-200000011110-20011
χ132222222222-2-2-2-2-2-2222-12-1-12-12-1-1-1-12-12-1000000-2-2111111-1-10000000220000-1-1-1-10000-201100
χ142222222222-2-2-2-2-2-2222-12-1-12-12-1-1-1-12-12-1000000-2-2111111-1-10000000-2-200001111000020-1-100
χ152222222222-2-2-2-2-2-222-12-122-12-1-1-1-1-1-12-1200000011-2-21111-1-100000000022000000-1-1-1-10-20011
χ162222222222-2-2-2-2-2-222-12-122-12-1-1-1-1-1-12-1200000011-2-21111-1-1000000000-2-200000011110200-1-1
χ1722222-2-2222000000-2-2222222222222-2-2-2-222222200000000-2-200-200000000-2-200000000000000
χ1822222-2-2222000000-2-2222222222222-2-2-2-2-2-2-2-2-2-200000000-2-2002000000002200000000000000
χ192-22-222-2-2-220000002-222-2-2-222-22-2-22-222-2000000000000002-22-2022-2-200000000000000000000
χ202-22-222-2-2-220000002-222-2-2-222-22-2-22-222-2000000000000002-2-220-2-22200000000000000000000
χ212-22-22-22-2-222-222-2-2-2222-2-2-222-22-2-222-2-220000002-22-222-2-2-22000000000000000000000000000
χ222-22-22-22-2-222-222-2-2-222-1-2112-1-2-111-121-2-10000002-2-11-1-1111-10000000000000−i3−i3i3i3000000−i3i300
χ232-22-22-22-2-222-222-2-2-222-1-2112-1-2-111-121-2-10000002-2-11-1-1111-10000000000000i3i3−i3−i3000000i3−i300
χ242-22-22-22-2-222-222-2-2-22-121-2-2-121-111-1-1-212000000-112-2-1-1111-10000000000000000033−3−300003−3
χ252-22-22-22-2-222-222-2-2-22-121-2-2-121-111-1-1-212000000-112-2-1-1111-100000000000000000−3−3330000−33
χ262-22-22-22-2-22-22-2-222-2222-2-2-222-22-2-222-2-22000000-22-22-2-222-22000000000000000000000000000
χ272-22-22-22-2-22-22-2-222-222-1-2112-1-2-111-121-2-1000000-221-111-1-11-10000000000000−i3−i3i3i3000000i3−i300
χ282-22-22-22-2-22-22-2-222-222-1-2112-1-2-111-121-2-1000000-221-111-1-11-10000000000000i3i3−i3−i3000000−i3i300
χ292-22-22-22-2-22-22-2-222-22-121-2-2-121-111-1-1-2120000001-1-2211-1-11-10000000000000000033−3−30000−33
χ302-22-22-22-2-22-22-2-222-22-121-2-2-121-111-1-1-2120000001-1-2211-1-11-100000000000000000−3−33300003−3
χ312-2-222002-2-20000000022-22-2-2-2222-2-200002-222-2-2000000000000000002−22−2002−22−22−22−2000000
χ322-2-222002-2-20000000022-22-2-2-2222-2-200002-222-2-200000000000000000−22−2200−22−22−22−22000000
χ332-2-222002-2-20000000022-22-2-2-2222-2-20000-22-2-222000000000000000002−2−22002−22−2−22−22000000
χ342-2-222002-2-20000000022-22-2-2-2222-2-20000-22-2-22200000000000000000−222−200−22−222−22−2000000
χ35444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ364444444444-4-4-4-4-4-444-2-2-2-2-2-2-2-21111-2-2-2-20000002222-1-1-1-111000000000000000000000000000
χ3744444-4-4444000000-4-44-24-2-24-24-2-2-2-2-42-420000000000000022000000000000000000000000000
χ3844444-4-4444000000-4-4-24-244-24-2-2-2-2-22-42-40000000000000022000000000000000000000000000
χ3944444-4-4444000000-4-4-2-2-2-2-2-2-2-21111222200000000003-33-3-1-1000000000000000000000000000
χ4044444-4-4444000000-4-4-2-2-2-2-2-2-2-2111122220000000000-33-33-1-1000000000000000000000000000
χ4144-4-4400-44-400000000444-44-4-4-44-44-400000000000000000000000000000000000000000000000
χ4244-4-4400-44-4000000004-242-2-42-4-22-22000000000000000000000000000000000i6−i6−i6i60000000000
χ4344-4-4400-44-4000000004-242-2-42-4-22-22000000000000000000000000000000000−i6i6i6−i60000000000
χ4444-4-4400-44-400000000-24-2-442-42-22-2200000000000000000000000000000000000006−6−66000000
χ4544-4-4400-44-400000000-24-2-442-42-22-220000000000000000000000000000000000000−666−6000000
χ464-44-444-4-4-440000004-44-2-4224-2-4-222-2-4-24200000000000000-22000000000000000000000000000
χ474-44-444-4-4-440000004-4-242-4-4-242-222-224-2-400000000000000-22000000000000000000000000000
χ484-44-444-4-4-440000004-4-2-2222-2-221-1-112-2-2200000000003-3-331-1000000000000000000000000000
χ494-44-444-4-4-440000004-4-2-2222-2-221-1-112-2-220000000000-333-31-1000000000000000000000000000
χ504-44-44-44-4-444-444-4-4-44-2-2222-2-221-1-11-222-2000000-22-2211-1-1-11000000000000000000000000000
χ514-44-44-44-4-44-44-4-444-44-2-2222-2-221-1-11-222-20000002-22-2-1-111-11000000000000000000000000000
χ524-4-444004-4-4000000004-2-4-22-424-2-22200000000000000000000000000022−220000−22−220000000000
χ534-4-444004-4-4000000004-2-4-22-424-2-222000000000000000000000000000−222200002−22−20000000000
χ544-4-444004-4-400000000-2424-42-4-2-2-2220000000000000000000000000000022−22000000−22−22000000
χ554-4-444004-4-400000000-2424-42-4-2-2-22200000000000000000000000000000−22220000002−22−2000000
χ566666-366-3-3-366-3-3-3-3-3-3000000000000000022-1-1-1-10000000000222-1-1-1-10000-1-100000000000000
χ576666-366-3-3-366-3-3-3-3-3-30000000000000000-2-211110000000000-2-2-2111100001100000000000000
χ586666-366-3-3-3-6-63333-3-3000000000000000022-1-1-1-10000000000-2-2211110000-1-100000000000000
χ596666-366-3-3-3-6-63333-3-30000000000000000-2-21111000000000022-2-1-1-1-100001100000000000000
χ606666-3-6-6-3-3-300−3i33i3−3i33i333000000000000000022-1-1-1-1000000000000-2−i3i3−i3i300001100000000000000
χ616666-3-6-6-3-3-300−3i33i3−3i33i3330000000000000000-2-211110000000000002i3−i3i3−i30000-1-100000000000000
χ626666-3-6-6-3-3-3003i3−3i33i3−3i333000000000000000022-1-1-1-1000000000000-2i3−i3i3−i300001100000000000000
χ636666-3-6-6-3-3-3003i3−3i33i3−3i3330000000000000000-2-211110000000000002−i3i3−i3i30000-1-100000000000000
χ646-66-6-36-633-300−3i33i33i3−3i3-33000000000000000000−i3i3−i3i300000000002-20-1-1110000−i3i300000000000000
χ656-66-6-36-633-300−3i33i33i3−3i3-33000000000000000000i3−i3i3−i30000000000-22011-1-10000i3−i300000000000000
χ666-66-6-36-633-3003i3−3i3−3i33i3-33000000000000000000−i3i3−i3i30000000000-22011-1-10000−i3i300000000000000
χ676-66-6-36-633-3003i3−3i3−3i33i3-33000000000000000000i3−i3i3−i300000000002-20-1-1110000i3−i300000000000000
χ686-66-6-3-6633-36-6-3-3333-3000000000000000000−i3i3−i3i30000000000000−i3i3i3−i30000i3−i300000000000000
χ696-66-6-3-6633-36-6-3-3333-3000000000000000000i3−i3i3−i30000000000000i3−i3−i3i30000−i3i300000000000000
χ706-66-6-3-6633-3-6633-3-33-3000000000000000000−i3i3−i3i30000000000000i3−i3−i3i30000i3−i300000000000000
χ716-66-6-3-6633-3-6633-3-33-3000000000000000000i3−i3i3−i30000000000000−i3i3i3−i30000−i3i300000000000000
χ7288-8-8800-88-800000000-4-4-44-44442-22-200000000000000000000000000000000000000000000000
χ738-8-888008-8-800000000-4-44-4444-422-2-200000000000000000000000000000000000000000000000
χ741212-12-12-6006-6600000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000000000
χ751212-12-12-6006-66000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000
χ7612-12-1212-600-6660000000000000000000000004-4-2-2220000000000000000000000000000000000000
χ7712-12-1212-600-666000000000000000000000000-4422-2-20000000000000000000000000000000000000

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