Finite Group Databasebeta

← Group #13140959

Character table — Group #13140959

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1111222222444466666666881212121212121212121212121818181818182424242424242424363636363636363636363636363636363636363636727272727272
order122234466644121233666666121236661212121212121212441212121212121212121212124448888121212121212242424242424242424661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ51111111111-1-11111111111-1-1111111-1-1-1-111111111-1-111-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111-1-11111111111-1-1111111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111
χ81111111111-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-111111-111-1-1
χ9222222222222222-122-1-12-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-12220000-1-1-1-1-1-100000000000000
χ10222222222222222-122-1-12-122-1-1-1-1-1-1-1-1-1-122-2-2111122-1-1-1-1-1-1-2-2-2000011111100000000000000
χ1122222222222222-12-1-122-1222-1-1-1-1222222-1-1000000-1-1-1-1-1-1-1-100000220000000000-1-1-1-10200-1-1
χ1222222222222222-12-1-122-1222-1-1-1-1222222-1-1000000-1-1-1-1-1-1-1-100000-2-2000000000011110-20011
χ132222222222-2-2222-122-1-12-1-2-2-1-1-1-1-1-111112222-1-1-1-1-2-2-1-111112-2-20000-1-1111100000000000000
χ142222222222-2-2222-122-1-12-1-2-2-1-1-1-1-1-1111122-2-21111-2-2-1-11111-222000011-1-1-1-100000000000000
χ152222222222-2-222-12-1-122-12-2-2-1-1-1-122-2-2-2-2-1-100000011-1-1111100000220000000000-1-1-1-10-20011
χ162222222222-2-222-12-1-122-12-2-2-1-1-1-122-2-2-2-2-1-100000011-1-1111100000-2-2000000000011110200-1-1
χ1722222-2-222200-2-222222222002222-2-20000-2-222222200-2-20000-2000000-2-2000000000000000000
χ1822222-2-222200-2-222222222002222-2-20000-2-2-2-2-2-2-2-200-2-20000200000022000000000000000000
χ1922222-2-222200-2-22-122-1-12-100-1-1-1-111−i3−i3i3i3-2-222-1-1-1-10011−i3−i3i3i3-200000011−i3−i3i3i300000000000000
χ2022222-2-222200-2-22-122-1-12-100-1-1-1-111−i3−i3i3i3-2-2-2-211110011−i3−i3i3i32000000-1-1i3i3−i3−i300000000000000
χ2122222-2-222200-2-22-122-1-12-100-1-1-1-111i3i3−i3−i3-2-222-1-1-1-10011i3i3−i3−i3-200000011i3i3−i3−i300000000000000
χ2222222-2-222200-2-22-122-1-12-100-1-1-1-111i3i3−i3−i3-2-2-2-211110011i3i3−i3−i32000000-1-1−i3−i3i3i300000000000000
χ232-22-222-2-2-22002-222-2-22-22-2002-2-222-200002-2000000002-2000002i−2i0000002i−2i2i−2i00000000000000
χ242-22-222-2-2-22002-222-2-22-22-2002-2-222-200002-2000000002-200000−2i2i000000−2i2i−2i2i00000000000000
χ252-22-222-2-2-22002-22-1-2-2-112100-111-1-11−i3i3−i3i32-20033−3−300-11−i3i3−i3i302i−2i00003−3−ii−ii00000000000000
χ262-22-222-2-2-22002-22-1-2-2-112100-111-1-11−i3i3−i3i32-200−3−33300-11−i3i3−i3i30−2i2i0000−33i−ii−i00000000000000
χ272-22-222-2-2-22002-22-1-2-2-112100-111-1-11i3−i3i3−i32-20033−3−300-11i3−i3i3−i30−2i2i00003−3i−ii−i00000000000000
χ282-22-222-2-2-22002-22-1-2-2-112100-111-1-11i3−i3i3−i32-200−3−33300-11i3−i3i3−i302i−2i0000−33−ii−ii00000000000000
χ292-22-22-22-2-222-2-2222-2-22-22-22-22-2-22-222-2-22-220000002-2-222-2-22000000000000000000000000000
χ302-22-22-22-2-222-2-222-1-2-2-11212-2-111-11-1-111-1-220033−3−32-21-1-111-10000000−333−3−3300000000000000
χ312-22-22-22-2-222-2-222-1-2-2-11212-2-111-11-1-111-1-2200−3−3332-21-1-111-100000003−3−333−300000000000000
χ322-22-22-22-2-222-2-22-12112-2-1-22-2-111-1-222-2-221-1000000-111-1-111-100000000000000000−i3−i3i3i30000−i3i3
χ332-22-22-22-2-222-2-22-12112-2-1-22-2-111-1-222-2-221-1000000-111-1-111-100000000000000000i3i3−i3−i30000i3−i3
χ342-22-22-22-2-22-22-2222-2-22-22-2-222-2-22-22-222-2-22000000-22-22-222-2000000000000000000000000000
χ352-22-22-22-2-22-22-222-1-2-2-1121-22-111-11-11-1-11-220033−3−3-221-11-1-110000000−33−333−300000000000000
χ362-22-22-22-2-22-22-222-1-2-2-1121-22-111-11-11-1-11-2200−3−333-221-11-1-1100000003−33−3−3300000000000000
χ372-22-22-22-2-22-22-22-12112-2-1-2-22-111-1-22-222-21-10000001-11-11-1-1100000000000000000−i3−i3i3i30000i3−i3
χ382-22-22-22-2-22-22-22-12112-2-1-2-22-111-1-22-222-21-10000001-11-11-1-1100000000000000000i3i3−i3−i30000−i3i3
χ392-2-222002-2-20000222-2-2-2-220022-2-2000000002i−2i2i−2i2i−2i00000000000−i2i22−2000000−i2−i2i2i22−22−2000000
χ402-2-222002-2-20000222-2-2-2-220022-2-2000000002i−2i2i−2i2i−2i00000000000i2−i2−22000000i2i2−i2−i2−22−22000000
χ412-2-222002-2-20000222-2-2-2-220022-2-200000000−2i2i−2i2i−2i2i00000000000−i2i2−22000000−i2−i2i2i2−22−22000000
χ422-2-222002-2-20000222-2-2-2-220022-2-200000000−2i2i−2i2i−2i2i00000000000i2−i22−2000000i2i2−i2−i22−22−2000000
χ4344444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-2000000-2-2111111000000000000000000000000000
χ444444444444-4-444-2-2-2-2-2-2-2-2-4-41111-2-22222-2-20000002211-1-1-1-1000000000000000000000000000
χ4544444-4-444400-4-4-24-2-244-2400-2-2-2-2-4-400002200000000220000000000000000000000000000000
χ4644444-4-444400-4-4-2-2-2-2-2-2-2-200111122−2i3−2i32i32i32200000000-1-1i3i3−i3−i3000000000000000000000000000
χ4744444-4-444400-4-4-2-2-2-2-2-2-2-2001111222i32i3−2i3−2i32200000000-1-1−i3−i3i3i3000000000000000000000000000
χ4844-4-4400-44-4000044-44-44-4-4004-44-40000000000000000000000000000000000000000000000000
χ4944-4-4400-44-400004-2-442-2-4200-22-220000000000−2i32i32i3−2i300000000000000000000000000000000000
χ5044-4-4400-44-400004-2-442-2-4200-22-2200000000002i3−2i3−2i32i300000000000000000000000000000000000
χ5144-4-4400-44-40000-242-2-442-400-22-22000000000000000000000000000000000000000i6−i6−i6i6000000
χ5244-4-4400-44-40000-242-2-442-400-22-22000000000000000000000000000000000000000−i6i6i6−i6000000
χ534-44-444-4-4-44004-4-24224-4-2-400-222-24-40000-2200000000-220000000000000000000000000000000
χ544-44-444-4-4-44004-4-2-222-22-22001-1-11-22−2i32i3−2i32i3-22000000001-1i3−i3i3−i3000000000000000000000000000
χ554-44-444-4-4-44004-4-2-222-22-22001-1-11-222i3−2i32i3−2i3-22000000001-1−i3i3−i3i3000000000000000000000000000
χ564-44-44-44-4-444-4-44-2-222-22-224-41-1-112-2-222-22-2000000-22-111-1-11000000000000000000000000000
χ574-44-44-44-4-44-44-44-2-222-22-22-441-1-112-22-2-222-20000002-2-11-111-1000000000000000000000000000
χ584-4-444004-4-400004-24-422-4-200-2-222000000004i−4i−2i2i−2i2i00000000000000000000000000000000000
χ594-4-444004-4-400004-24-422-4-200-2-22200000000−4i4i2i−2i2i−2i00000000000000000000000000000000000
χ604-4-444004-4-40000-24-22-4-42400-2-22200000000000000000000000000022−220000000000−22−22000000
χ614-4-444004-4-40000-24-22-4-42400-2-222000000000000000000000000000−222200000000002−22−2000000
χ626666-366-3-3-366-3-300000000-3-3000000000000000000000000000002200000000-1-1-1-1000020-1-100
χ636666-366-3-3-366-3-300000000-3-300000000000000000000000000000-2-20000000011110000-201100
χ646666-366-3-3-3-6-6-3-30000000033000000000000000000000000000002200000000-1-1-1-10000-201100
χ656666-366-3-3-3-6-6-3-3000000003300000000000000000000000000000-2-2000000001111000020-1-100
χ666-66-6-3-6633-36-63-300000000-33000000000000000000000000000000000000000−i3i3−i3i3000000−i3i300
χ676-66-6-3-6633-36-63-300000000-33000000000000000000000000000000000000000i3−i3i3−i3000000i3−i300
χ686-66-6-3-6633-3-663-3000000003-3000000000000000000000000000000000000000−i3i3−i3i3000000i3−i300
χ696-66-6-3-6633-3-663-3000000003-3000000000000000000000000000000000000000i3−i3i3−i3000000−i3i300
χ7088-8-8800-88-80000-4-44-44-444002-22-20000000000000000000000000000000000000000000000000
χ718-8-888008-8-80000-4-4-44444-40022-2-20000000000000000000000000000000000000000000000000
χ7212121212-6-12-12-6-6-60066000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6006-66000000000000000000000000000000000000000000000000000006−6−660000000000
χ741212-12-12-6006-6600000000000000000000000000000000000000000000000000000−666−60000000000
χ7512-1212-12-612-1266-600-66000000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-600-6660000000000000000000000000000000000000000000−2i22i200000000i2i2−i2−i20000000000
χ7712-12-1212-600-66600000000000000000000000000000000000000000002i2−2i200000000−i2−i2i2i20000000000

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