Finite Group Databasebeta

← Group #13149586

Character table — Group #13149586

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111222222444466666666881212121212121212121212121818181818181818242424242424242436363636363636363636363636363636363636363636363672727272
order122234466644121233666666121236661212121212121212444412121212121212121212121222244444446666121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-11-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-11-1-111-1-111-1-1-1-1-1-1-1-111-1-111
χ51111111111-1-11111111111-1-1111111-1-1-1-11111111111-1-1-1-111-1-11-11-1-1-1-111-1111111-1-111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-1111111-1-1-1-11111111111-1-1-1-111-1-1-11-11-11-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11111-1111-1-11111-1-111-1-1-1-111
χ81111111111-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11-11-1-1-111-1-111-1-1111111-1-1
χ911111-1-11111-1-1-1111111111-11111-1-1-1-111-1-111-1-111111-111-1-1-1-11-1-11-111-11-111-1-1-1-111-1-1-1-111-111-1
χ1011111-1-11111-1-1-1111111111-11111-1-1-1-111-1-111-1-111111-111-1-1-1-1-111-1-1-111-11-1-1111111-1-1-1-1-1-11-1-11
χ1111111-1-11111-1-1-1111111111-11111-1-1-1-111-1-1-1-111-1-1-1-11-111-1-1-1-11-1111-1-1-1-111111-1-1-1-11111-1-1-11-11
χ1211111-1-11111-1-1-1111111111-11111-1-1-1-111-1-1-1-111-1-1-1-11-111-1-1-1-1-11-1-111-111-1-1-1-1-111-1-11111111-11-1
χ1311111-1-1111-11-1-111111111-111111-1-111-1-1-1-111-1-11111-11-1-1-1-11111-1-11-1-1-11111-1-1-1-1-1-1-1-111111-1-11
χ1411111-1-1111-11-1-111111111-111111-1-111-1-1-1-111-1-11111-11-1-1-1-111-1-11111-11-1-1-1-11111-1-1-1-111-1-1-111-1
χ1511111-1-1111-11-1-111111111-111111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-111-1-1-11111-1-11111-1-1-1-11-11-1
χ1611111-1-1111-11-1-111111111-111111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111-1-1-11-1-11111-1-1-1-1111111-1-111-11-11
χ17222222222222222-1-12-122-122-1-1-1-1222222-1-100000000-1-1-1-1-1-1-1-1002002002200-1-100000000-1-100-1-1
χ18222222222222222-1-12-122-122-1-1-1-1222222-1-100000000-1-1-1-1-1-1-1-100-200-200-2-2001100000000110011
χ1922222222222222-122-12-1-1222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-10000202000000000-1-1-1-1-1-1000000
χ2022222222222222-122-12-1-1222-1-1-1-1-1-1-1-1-1-122-2-2-2-2111122-1-1-1-1-1-10000-20-2000000000111111000000
χ212222222222-2-2222-1-12-122-1-2-2-1-1-1-122-2-2-2-2-1-1000000001111-1-11100200-2002-200-1-100000000-1-10011
χ222222222222-2-2222-1-12-122-1-2-2-1-1-1-122-2-2-2-2-1-1000000001111-1-11100-200200-220011000000001100-1-1
χ232222222222-2-222-122-12-1-12-2-2-1-1-1-1-1-11111222222-1-1-1-1-2-211-1-1110000-20-200000000011-1-111000000
χ242222222222-2-222-122-12-1-12-2-2-1-1-1-1-1-1111122-2-2-2-21111-2-211-1-1110000202000000000-1-111-1-1000000
χ2522222-2-22222-2-2-22-1-12-122-12-2-1-1-1-1-2-2-2-2221100000000-11-1-1111100200-200-2200-1-10000000011001-1
χ2622222-2-22222-2-2-22-1-12-122-12-2-1-1-1-1-2-2-2-2221100000000-11-1-1111100-2002002-2001100000000-1-100-11
χ2722222-2-22222-2-2-2-122-12-1-122-2-1-1-1-11111-1-1-2-222-2-2-1-1-1-12-2-1-111110000-202000000000-1-11111000000
χ2822222-2-22222-2-2-2-122-12-1-122-2-1-1-1-11111-1-1-2-2-2-22211112-2-1-11111000020-200000000011-1-1-1-1000000
χ2922222-2-2222-22-2-22-1-12-122-1-22-1-1-1-1-2-222-2-211000000001-11111-1-100200200-2-200-1-1000000001100-11
χ3022222-2-2222-22-2-22-1-12-122-1-22-1-1-1-1-2-222-2-211000000001-11111-1-100-200-20022001100000000-1-1001-1
χ3122222-2-2222-22-2-2-122-12-1-12-22-1-1-1-111-1-111-2-222-2-2-1-1-1-1-221111-1-1000020-20000000001111-1-1000000
χ3222222-2-2222-22-2-2-122-12-1-12-22-1-1-1-111-1-111-2-2-2-2221111-221111-1-10000-202000000000-1-1-1-111000000
χ332-22-222i−2i2-2-2002i−2i22-2-22-22-2002-22-22i−2i00002i−2i2i−2i2-22i2i−2i−2i00002i−2i000000000000000000002-200000000
χ342-22-222i−2i2-2-2002i−2i22-2-22-22-2002-22-22i−2i00002i−2i−2i2i-22−2i−2i2i2i00002i−2i00000000000000000000-2200000000
χ352-22-222i−2i2-2-2002i−2i-12-2121-1-200-11-11−ii3−3−i3i32i−2i2i−2i2-2−i−iii00−i3i3−ii3−300000000000000003−3-11−i3i3000000
χ362-22-222i−2i2-2-2002i−2i-12-2121-1-200-11-11−ii3−3−i3i32i−2i−2i2i-22ii−i−i00−i3i3−ii3−30000000000000000−331-1i3−i3000000
χ372-22-222i−2i2-2-2002i−2i-12-2121-1-200-11-11−ii−33i3−i32i−2i2i−2i2-2−i−iii00i3−i3−ii−330000000000000000−33-11i3−i3000000
χ382-22-222i−2i2-2-2002i−2i-12-2121-1-200-11-11−ii−33i3−i32i−2i−2i2i-22ii−i−i00i3−i3−ii−3300000000000000003−31-1−i3i3000000
χ392-22-22−2i2i2-2-200−2i2i22-2-22-22-2002-22-2−2i2i0000−2i2i2i−2i-222i2i−2i−2i0000−2i2i00000000000000000000-2200000000
χ402-22-22−2i2i2-2-200−2i2i22-2-22-22-2002-22-2−2i2i0000−2i2i−2i2i2-2−2i−2i2i2i0000−2i2i000000000000000000002-200000000
χ412-22-22−2i2i2-2-200−2i2i-12-2121-1-200-11-11i−i3−3i3−i3−2i2i2i−2i-22−i−iii00i3−i3i−i3−30000000000000000−331-1−i3i3000000
χ422-22-22−2i2i2-2-200−2i2i-12-2121-1-200-11-11i−i3−3i3−i3−2i2i−2i2i2-2ii−i−i00i3−i3i−i3−300000000000000003−3-11i3−i3000000
χ432-22-22−2i2i2-2-200−2i2i-12-2121-1-200-11-11i−i−33−i3i3−2i2i2i−2i-22−i−iii00−i3i3i−i−3300000000000000003−31-1i3−i3000000
χ442-22-22−2i2i2-2-200−2i2i-12-2121-1-200-11-11i−i−33−i3i3−2i2i−2i2i2-2ii−i−i00−i3i3i−i−330000000000000000−33-11−i3i3000000
χ4544444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-200000000-2-21111110000000000000000000000000000
χ464444444444-4-444-2-2-2-2-2-2-2-2-4-41111-2-22222-2-20000000022-1-111-1-10000000000000000000000000000
χ4744444-4-44444-4-4-4-2-2-2-2-2-2-2-24-411112222-2-22200000000-2211-1-1-1-10000000000000000000000000000
χ4844444-4-4444-44-4-4-2-2-2-2-2-2-2-2-44111122-2-22222000000002-2-1-1-1-1110000000000000000000000000000
χ4944-4-4400-44-400004444-4-4-4-40044-4-40000000000000000000000000000000000000000000000000000
χ5044-4-4400-44-400004-2-242-4-4200-2-222000000000000000000000000000000000000−2i32i300000000000000
χ5144-4-4400-44-400004-2-242-4-4200-2-2220000000000000000000000000000000000002i3−2i300000000000000
χ5244-4-4400-44-40000-244-2-422-400-2-222000000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ5344-4-4400-44-40000-244-2-422-400-2-2220000000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ544-44-444i−4i4-4-4004i−4i4-22-4-2-44200-22-224i−4i0000−2i2i000000000000−2i2i000000000000000000000000000000
χ554-44-444i−4i4-4-4004i−4i-2-222-22-22001-11-1−2i2i23−23−2i32i3−2i2i0000000000i3−i3i−i−330000000000000000000000000000
χ564-44-444i−4i4-4-4004i−4i-2-222-22-22001-11-1−2i2i−23232i3−2i3−2i2i0000000000−i3i3i−i3−30000000000000000000000000000
χ574-44-44−4i4i4-4-400−4i4i4-22-4-2-44200-22-22−4i4i00002i−2i0000000000002i−2i000000000000000000000000000000
χ584-44-44−4i4i4-4-400−4i4i-2-222-22-22001-11-12i−2i23−232i3−2i32i−2i0000000000−i3i3−ii−330000000000000000000000000000
χ594-44-44−4i4i4-4-400−4i4i-2-222-22-22001-11-12i−2i−2323−2i32i32i−2i0000000000i3−i3−ii3−30000000000000000000000000000
χ604-4-44400-4-44000044-4-4-44-44004-4-440000000000000000000000000000000000000000000000000000
χ614-4-44400-4-4400004-22-424-4-200-222-20000000000000000000000000000000000000000000000−2i32i30000
χ624-4-44400-4-4400004-22-424-4-200-222-200000000000000000000000000000000000000000000002i3−2i30000
χ634-4-44400-4-440000-24-42-4-22400-222-200000000000023−23−2323000000000000000000000000000000000000
χ644-4-44400-4-440000-24-42-4-22400-222-2000000000000−232323−23000000000000000000000000000000000000
χ656666-366-3-3-366-3-300000000-3-300000000000000000000000000002202000200-1-100-1-100000000-1-100
χ666666-366-3-3-366-3-300000000-3-30000000000000000000000000000-2-20-2000-200110011000000001100
χ676666-366-3-3-3-6-6-3-3000000003300000000000000000000000000002-20-2000200-1-100-1-1000000001100
χ686666-366-3-3-3-6-6-3-300000000330000000000000000000000000000-2202000-20011001100000000-1-100
χ696666-3-6-6-3-3-36-63300000000-3300000000000000000000000000002-202000-200-1-10011000000001-100
χ706666-3-6-6-3-3-36-63300000000-330000000000000000000000000000-220-20002001100-1-100000000-1100
χ716666-3-6-6-3-3-3-6633000000003-30000000000000000000000000000220-2000-200-1-1001100000000-1100
χ726666-3-6-6-3-3-3-6633000000003-30000000000000000000000000000-2-2020002001100-1-1000000001-100
χ7388-8-8800-88-80000-4-4-4-444440022-2-20000000000000000000000000000000000000000000000000000
χ748-8-88800-8-880000-4-4444-44-4002-2-220000000000000000000000000000000000000000000000000000
χ751212-12-12-6006-660000000000000000000000000000000000000000000000000000000023−23000000000000
χ761212-12-12-6006-6600000000000000000000000000000000000000000000000000000000−2323000000000000
χ7712-1212-12-612i−12i-66600−6i6i000000000000000000000000000000000000000000000000000000000000000000
χ7812-1212-12-6−12i12i-666006i−6i000000000000000000000000000000000000000000000000000000000000000000
χ7912-12-1212-60066-60000000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ8012-12-1212-60066-600000000000000000000000000000000000000000000000000002i3−2i30000000000000000

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