Finite Group Databasebeta

← Group #13148546

Character table — Group #13148546

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111222222444466666666881212121212121212121212121818181818181818242424242424242436363636363636363636363636363636363636363636363672727272
order1222344666241212336666666123666661212121212122244121212126661212121212244444444466661212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-111-1-1-111-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1
χ51111111111-1-11111111111-1-11-1-1111-1-1111111111111-1-1-1-111-1-111-1-11-1-11-1-111111111-1-1-1-111-1-1-1-1
χ61111111111-1-11111111111-1-11-1-1111-1-1111111111111-1-1-1-111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1111-11-1-111-1-1-1-111111111-1-1
χ81111111111-1-11111111111-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11-11-1-1-1-1-111111111-1-1-1-111
χ911111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-1-1111111-1-11111-1-1-1-11-1-11
χ1011111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111-11-11-1-111-1-111-1-111-1-111-111-1
χ1111111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-1-111-11-1-1-11111-1-1-1-111-1-1-11-11
χ1211111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-111-11-1-1-1-1-1-111-1-111111-11-1
χ1311111-1-1111-11-1-111111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-11111-1-111-1-111-1-1-111-1
χ1411111-1-1111-11-1-111111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-1111111-1-111-1-1-1-111111-1-11
χ1511111-1-1111-11-1-111111111-111-1-111111-1-1-1-1-1-1111111-1-1-11-1-1111111-1-1-1-1-11-1-11111-1-111-1-1-1-11-11-1
χ1611111-1-1111-11-1-111111111-111-1-111111-1-1-1-1-1-1111111-1-1-11-1-111-1-11-111-111-1-1-1-1-1-1-11111-1-111-11-11
χ17222222222222222-12-12-12-122-122-1-1-12222-1-100000000-1-1-1-1-1-1-1-1200200022000-1-100000000-1-100-1-1
χ18222222222222222-12-12-12-122-122-1-1-12222-1-100000000-1-1-1-1-1-1-1-1-200-2000-2-20001100000000110011
χ1922222222222222-12-12-12-1222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-12-1-1-1-10020002000-1-1000000-1-1-1-1000000
χ2022222222222222-12-12-12-1222-1-1-1-1-1-1-1-1-1-122-2-2-2-211112-1-12-1-1-1-100-2000-2000110000001111000000
χ212222222222-2-2222-12-12-12-1-2-2-1-2-2-1-1-1-2-222-1-1000000001111-1-111200-20002-2000-1-100000000-1-10011
χ222222222222-2-2222-12-12-12-1-2-2-1-2-2-1-1-1-2-222-1-1000000001111-1-111-2002000-2200011000000001100-1-1
χ232222222222-2-222-12-12-12-12-2-2-111-1-1-111-1-1222222-1-1-1-1-211-2-1-11100-2000-2000-1-10000001111000000
χ242222222222-2-222-12-12-12-12-2-2-111-1-1-111-1-122-2-2-2-21111-211-2-1-111002000200011000000-1-1-1-1000000
χ2522222-2-22222-2-2-22-12-12-12-12-2-122-1-1-1-2-2-2-21100000000-1-1-111111200-2000-22000-1-10000000011001-1
χ2622222-2-22222-2-2-22-12-12-12-12-2-122-1-1-1-2-2-2-21100000000-1-1-111111-20020002-20001100000000-1-100-11
χ2722222-2-22222-2-2-2-12-12-12-122-2-1-1-1-1-1-11111-2-222-2-211112-1-1-21111002000-2000-1-1000000-1-111000000
χ2822222-2-22222-2-2-2-12-12-12-122-2-1-1-1-1-1-11111-2-2-2-222-1-1-1-12-1-1-2111100-200020001100000011-1-1000000
χ2922222-2-2222-22-2-22-12-12-12-1-22-1-2-2-1-1-122-2-21100000000111-111-1-12002000-2-2000-1-1000000001100-11
χ3022222-2-2222-22-2-22-12-12-12-1-22-1-2-2-1-1-122-2-21100000000111-111-1-1-200-2000220001100000000-1-1001-1
χ3122222-2-2222-22-2-2-12-12-12-12-22-111-1-1-1-1-111-2-222-2-21111-211211-1-100-20002000-1-100000011-1-1000000
χ3222222-2-2222-22-2-2-12-12-12-12-22-111-1-1-1-1-111-2-2-2-222-1-1-1-1-211211-1-1002000-200011000000-1-111000000
χ332-22-222i−2i-2-22002i−2i22-2-222-2-2002002-2-2002i−2i2i−2i2-22i−2i2i2i−2i−2i00002i−2i0000000000002-20000000000000000
χ342-22-222i−2i-2-22002i−2i22-2-222-2-2002002-2-2002i−2i2i−2i-22−2i2i−2i−2i2i2i00002i−2i000000000000-220000000000000000
χ352-22-222i−2i-2-22002i−2i-121-2-121-200-1−i3i3-1113−3−ii2i−2i2-22i−2i−i−iii0−i3i30−ii3−30000000000-11000000−i3i33−3000000
χ362-22-222i−2i-2-22002i−2i-121-2-121-200-1−i3i3-1113−3−ii2i−2i-22−2i2iii−i−i0−i3i30−ii3−300000000001-1000000i3−i3−33000000
χ372-22-222i−2i-2-22002i−2i-121-2-121-200-1i3−i3-111−33−ii2i−2i2-22i−2i−i−iii0i3−i30−ii−330000000000-11000000i3−i3−33000000
χ382-22-222i−2i-2-22002i−2i-121-2-121-200-1i3−i3-111−33−ii2i−2i-22−2i2iii−i−i0i3−i30−ii−3300000000001-1000000−i3i33−3000000
χ392-22-22−2i2i-2-2200−2i2i22-2-222-2-2002002-2-200−2i2i−2i2i2-2−2i2i−2i−2i2i2i0000−2i2i0000000000002-20000000000000000
χ402-22-22−2i2i-2-2200−2i2i22-2-222-2-2002002-2-200−2i2i−2i2i-222i−2i2i2i−2i−2i0000−2i2i000000000000-220000000000000000
χ412-22-22−2i2i-2-2200−2i2i-121-2-121-200-1−i3i3-111−33i−i−2i2i2-2−2i2iii−i−i0−i3i30i−i−330000000000-11000000−i3i3−33000000
χ422-22-22−2i2i-2-2200−2i2i-121-2-121-200-1−i3i3-111−33i−i−2i2i-222i−2i−i−iii0−i3i30i−i−3300000000001-1000000i3−i33−3000000
χ432-22-22−2i2i-2-2200−2i2i-121-2-121-200-1i3−i3-1113−3i−i−2i2i2-2−2i2iii−i−i0i3−i30i−i3−30000000000-11000000i3−i33−3000000
χ442-22-22−2i2i-2-2200−2i2i-121-2-121-200-1i3−i3-1113−3i−i−2i2i-222i−2i−i−iii0i3−i30i−i3−300000000001-1000000−i3i3−33000000
χ4544444444444444-2-2-2-2-2-2-2-2441-2-2111-2-2-2-2-2-200000000-211-211110000000000000000000000000000
χ464444444444-4-444-2-2-2-2-2-2-2-2-4-412211122-2-2-2-2000000002-1-1211-1-10000000000000000000000000000
χ4744444-4-44444-4-4-4-2-2-2-2-2-2-2-24-41-2-211122222200000000-2112-1-1-1-10000000000000000000000000000
χ4844444-4-4444-44-4-4-2-2-2-2-2-2-2-2-44122111-2-22222000000002-1-1-2-1-1110000000000000000000000000000
χ4944-4-44004-4-400004444-4-4-4-400400-44-400000000000000000000000000000000000000000000000000
χ5044-4-44004-4-400004-24-2-42-4200-2002-220000000000000000000000000000000000000000000023−230000
χ5144-4-44004-4-400004-24-2-42-4200-2002-2200000000000000000000000000000000000000000000−23230000
χ5244-4-44004-4-40000-24-242-42-400-2002-22000000000023−2323−23000000000000000000000000000000000000
χ5344-4-44004-4-40000-24-242-42-400-2002-220000000000−2323−2323000000000000000000000000000000000000
χ544-44-444i−4i-4-44004i−4i4-2-424-2-4200-200-222004i−4i−2i2i000000000000−2i2i000000000000000000000000000000
χ554-44-444i−4i-4-44004i−4i-2-222-2-222001−2i32i31-1-123−23−2i2i−2i2i000000000i3−i30i−i−330000000000000000000000000000
χ564-44-444i−4i-4-44004i−4i-2-222-2-2220012i3−2i31-1-1−2323−2i2i−2i2i000000000−i3i30i−i3−30000000000000000000000000000
χ574-44-44−4i4i-4-4400−4i4i4-2-424-2-4200-200-22200−4i4i2i−2i0000000000002i−2i000000000000000000000000000000
χ584-44-44−4i4i-4-4400−4i4i-2-222-2-222001−2i32i31-1-1−23232i−2i2i−2i000000000i3−i30−ii3−30000000000000000000000000000
χ594-44-44−4i4i-4-4400−4i4i-2-222-2-2220012i3−2i31-1-123−232i−2i2i−2i000000000−i3i30−ii−330000000000000000000000000000
χ604-4-44400-44-4000044-4-4-4-44400400-4-4400000000000000000000000000000000000000000000000000
χ614-4-44400-44-400004-2-42-424-200-20022-20000000000000000000000000000000000−2i32i300000000000000
χ624-4-44400-44-400004-2-42-424-200-20022-200000000000000000000000000000000002i3−2i300000000000000
χ634-4-44400-44-40000-242-42-4-2400-20022-20000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ644-4-44400-44-40000-242-42-4-2400-20022-200000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ656666-366-3-3-366-3-300000000-3-3000000000000000000000000000002002200020000-1-1-1-1000000-1-100
χ666666-366-3-3-366-3-300000000-3-300000000000000000000000000000-200-2-2000-2000011110000001100
χ676666-366-3-3-3-6-6-3-30000000033000000000000000000000000000002002-2000-20000-1-1-1-10000001100
χ686666-366-3-3-3-6-6-3-3000000003300000000000000000000000000000-200-22000200001111000000-1-100
χ696666-3-6-6-3-3-36-63300000000-3300000000000000000000000000000200-22000-20000-1-1110000001-100
χ706666-3-6-6-3-3-36-63300000000-3300000000000000000000000000000-2002-20002000011-1-1000000-1100
χ716666-3-6-6-3-3-3-6633000000003-300000000000000000000000000000200-2-200020000-1-111000000-1100
χ726666-3-6-6-3-3-3-6633000000003-300000000000000000000000000000-20022000-2000011-1-10000001-100
χ7388-8-88008-8-80000-4-4-4-4444400200-22-200000000000000000000000000000000000000000000000000
χ748-8-88800-88-80000-4-44444-4-400200-2-2200000000000000000000000000000000000000000000000000
χ751212-12-12-600-666000000000000000000000000000000000000000000000000000000000023−230000000000
χ761212-12-12-600-6660000000000000000000000000000000000000000000000000000000000−23230000000000
χ7712-1212-12-612i−12i66-600−6i6i000000000000000000000000000000000000000000000000000000000000000000
χ7812-1212-12-6−12i12i66-6006i−6i000000000000000000000000000000000000000000000000000000000000000000
χ7912-12-1212-6006-660000000000000000000000000000000000000000000000000000000023−23000000000000
χ8012-12-1212-6006-6600000000000000000000000000000000000000000000000000000000−2323000000000000

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