Finite Group Databasebeta

← Group #13149559

Character table — Group #13149559

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size1111222222444466666666881212121212121212121212121818181818181818181818181818242424242424242436363636363636363636363636363636363636363672727272
order1222344666441212336666661212366612121212121212124444444444121212121212121212121212224444466661212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111
χ51111111111-1-11111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-111
χ61111111111-1-11111111111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1
χ71111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ81111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ911111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-111-1-111111111111-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-11111-1-1111-11-1
χ1011111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-111-1-1-1-111-1-111111-1-1-111-1-1-111-11-11-1-11111-1-111-1-1-1-1-11-11
χ1111111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-11-1-111111-1-111-1-111-1-11-1-11
χ1211111-1-11111-1-1-1111111111-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-1-11-11-111-111-1-111-1-1-1-11111-111-1
χ1311111-1-1111-11-1-111111111-111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-11111-1-11111-1-1-1-1-111-1
χ1411111-1-1111-11-1-111111111-111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1111-111-1-1111-1-111-1-111-1-1111-1-11
χ1511111-1-1111-11-1-111111111-111111-1-111-1-1-1-1-1-1111111111111-11-1-1-1-111-1-1-1-11-11-1-1-1-1-1-111-1-11111-11-11
χ1611111-1-1111-11-1-111111111-111111-1-111-1-1-1-1-1-111-1-111-1-11111-11-1-1-1-111-1111-11-1-1-11111-1-1-1-111-1-11-11-1
χ17222222222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1222222002200-1-1-1-122-1-1-1-1-1-12000000-1-1000000-1-1-1-1000000
χ18222222222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-122-2-2-2-200-2-200111122-1-1-1-1-1-1-2000000110000001111000000
χ1922222222222222-12-1-1222-122-1-1-1-1222222-1-100000000220000-1-1-1-1-1-1-1-1020002200-1-100000000-1-100-1-1
χ2022222222222222-12-1-1222-122-1-1-1-1222222-1-100000000-2-20000-1-1-1-1-1-1-1-10-2000-2-2001100000000110011
χ212222222222-2-2222-122-1-1-12-2-2-1-1-1-11111-1-122222200-2-2001111-2-2-1-11111-200000011000000-1-1-1-1000000
χ222222222222-2-2222-122-1-1-12-2-2-1-1-1-11111-1-122-2-2-2-2002200-1-1-1-1-2-2-1-111112000000-1-10000001111000000
χ232222222222-2-222-12-1-1222-1-2-2-1-1-1-1-2-2-2-222-1-10000000022000011-1-1111102000-2-200-1-100000000-1-10011
χ242222222222-2-222-12-1-1222-1-2-2-1-1-1-1-2-2-2-222-1-100000000-2-2000011-1-111110-2000220011000000001100-1-1
χ2522222-2-22222-2-2-22-122-1-1-122-2-1-1-1-1-1-11111-2-222-2-2002200-1-1-1-12-211-1-111-200000011000000-1-111000000
χ2622222-2-22222-2-2-22-122-1-1-122-2-1-1-1-1-1-11111-2-2-2-22200-2-20011112-211-1-1112000000-1-100000011-1-1000000
χ2722222-2-22222-2-2-2-12-1-1222-12-2-1-1-1-122-2-2-2-21100000000220000-1111-1-1110-20002-2001100000000-1-100-11
χ2822222-2-22222-2-2-2-12-1-1222-12-2-1-1-1-122-2-2-2-21100000000-2-20000-1111-1-11102000-2200-1-10000000011001-1
χ2922222-2-2222-22-2-22-122-1-1-12-22-1-1-1-111-1-111-2-222-2-200-2-2001111-221111-1-12000000-1-1000000-1-111000000
χ3022222-2-2222-22-2-22-122-1-1-12-22-1-1-1-111-1-111-2-2-2-222002200-1-1-1-1-221111-1-1-20000001100000011-1-1000000
χ3122222-2-2222-22-2-2-12-1-1222-1-22-1-1-1-1-2-222-2-211000000002200001-11111-1-10-2000-22001100000000-1-1001-1
χ3222222-2-2222-22-2-2-12-1-1222-1-22-1-1-1-1-2-222-2-21100000000-2-200001-11111-1-1020002-200-1-1000000001100-11
χ332-22-2200-2-22000022-222-2-2-2002-2-220000000000002-22i−2i2i−2i2i2i−2i−2i0000000000000000000002-200002i−2i0000
χ342-22-2200-2-22000022-222-2-2-2002-2-220000000000002-2−2i2i−2i2i−2i−2i2i2i0000000000000000000002-20000−2i2i0000
χ352-22-2200-2-22000022-222-2-2-2002-2-22000000000000-222i−2i−2i2i2i2i−2i−2i000000000000000000000-220000−2i2i0000
χ362-22-2200-2-22000022-222-2-2-2002-2-22000000000000-22−2i2i2i−2i−2i−2i2i2i000000000000000000000-2200002i−2i0000
χ372-2-2222-22-2-2002-222-2-2-22-22002-22-200002-22-22i−2i2i−2i0000000000002-200000000000000000002i−2i2i−2i000000
χ382-2-2222-22-2-2002-222-2-2-22-22002-22-200002-22-2−2i2i−2i2i0000000000002-20000000000000000000−2i2i−2i2i000000
χ392-2-2222-22-2-2002-22-1-2-21-11200-11-113−33−3-112-22i−2i2i−2i000000−i3i3−i3i300-113−33−30000000−i3i3000000−ii−ii000000
χ402-2-2222-22-2-2002-22-1-2-21-11200-11-113−33−3-112-2−2i2i−2i2i000000i3−i3i3−i300-113−33−30000000i3−i3000000i−ii−i000000
χ412-2-2222-22-2-2002-22-1-2-21-11200-11-11−33−33-112-22i−2i2i−2i000000i3−i3i3−i300-11−33−330000000i3−i3000000−ii−ii000000
χ422-2-2222-22-2-2002-22-1-2-21-11200-11-11−33−33-112-2−2i2i−2i2i000000−i3i3−i3i300-11−33−330000000−i3i3000000i−ii−i000000
χ432-2-222-222-2-200-2222-2-2-22-22002-22-20000-22-222i−2i−2i2i000000000000-2200000000000000000002i−2i−2i2i000000
χ442-2-222-222-2-200-2222-2-2-22-22002-22-20000-22-22−2i2i2i−2i000000000000-220000000000000000000−2i2i2i−2i000000
χ452-2-222-222-2-200-222-1-2-21-11200-11-113−3−331-1-222i−2i−2i2i000000−i3i3−i3i3001-13−3−330000000i3−i3000000−iii−i000000
χ462-2-222-222-2-200-222-1-2-21-11200-11-113−3−331-1-22−2i2i2i−2i000000i3−i3i3−i3001-13−3−330000000−i3i3000000i−i−ii000000
χ472-2-222-222-2-200-222-1-2-21-11200-11-11−333−31-1-222i−2i−2i2i000000i3−i3i3−i3001-1−333−30000000−i3i3000000−iii−i000000
χ482-2-222-222-2-200-222-1-2-21-11200-11-11−333−31-1-22−2i2i2i−2i000000−i3i3−i3i3001-1−333−30000000i3−i3000000i−i−ii000000
χ4944444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-200000000000000-2-21111110000000000000000000000000
χ504444444444-4-444-2-2-2-2-2-2-2-2-4-411112222-2-2-2-2000000000000002211-1-1-1-10000000000000000000000000
χ5144444-4-44444-4-4-4-2-2-2-2-2-2-2-24-41111-2-222222200000000000000-22-1-111-1-10000000000000000000000000
χ5244444-4-4444-44-4-4-2-2-2-2-2-2-2-2-44111122-2-22222000000000000002-2-1-1-1-1110000000000000000000000000
χ5344-4-4400-44-40000444-4-4-44-40044-4-40000000000000000000000000000000000000000000000000000000
χ5444-4-4400-44-400004-24-422-2-400-2-22200000000000000000023−23−2323000000000000000000000000000000000
χ5544-4-4400-44-400004-24-422-2-400-2-222000000000000000000−232323−23000000000000000000000000000000000
χ5644-4-4400-44-40000-24-22-4-44200-2-222000000000000000000000000000000000000000−2i32i300000000000000
χ5744-4-4400-44-40000-24-22-4-44200-2-2220000000000000000000000000000000000000002i3−2i300000000000000
χ584-44-4400-4-4400004-2-44-222-400-222-2000000000000004i−4i00−2i−2i2i2i000000000000000000000000000000000
χ594-44-4400-4-4400004-2-44-222-400-222-200000000000000−4i4i002i2i−2i−2i000000000000000000000000000000000
χ604-44-4400-4-440000-242-24-4-4200-222-200000000000000004i−4i0000000000000000000000000000000−2i2i0000
χ614-44-4400-4-440000-242-24-4-4200-222-20000000000000000−4i4i00000000000000000000000000000002i−2i0000
χ624-4-4444-44-4-4004-4-2422-44-4-200-22-2200004-4-220000000000000000-2200000000000000000000000000000
χ634-4-4444-44-4-4004-4-2-2222-22-2001-11-123−2323−23-22-2200000000000000001-1−33−330000000000000000000000000
χ644-4-4444-44-4-4004-4-2-2222-22-2001-11-1−2323−2323-22-2200000000000000001-13−33−30000000000000000000000000
χ654-4-444-444-4-400-44-2422-44-4-200-22-220000-442-200000000000000002-200000000000000000000000000000
χ664-4-444-444-4-400-44-2-2222-22-2001-11-123−23−23232-22-20000000000000000-11−333−30000000000000000000000000
χ674-4-444-444-4-400-44-2-2222-22-2001-11-1−232323−232-22-20000000000000000-113−3−330000000000000000000000000
χ686666-366-3-3-366-3-300000000-3-3000000000000000022000000000000000000222000000-1-1-1-1000000-1-100
χ696666-366-3-3-366-3-300000000-3-30000000000000000-2-2000000000000000000-2-2-200000011110000001100
χ706666-366-3-3-3-6-6-3-300000000330000000000000000220000000000000000002-2-2000000-1-1-1-10000001100
χ716666-366-3-3-3-6-6-3-300000000330000000000000000-2-2000000000000000000-2220000001111000000-1-100
χ726666-3-6-6-3-3-36-63300000000-33000000000000000022000000000000000000-22-200000011-1-1000000-1100
χ736666-3-6-6-3-3-36-63300000000-330000000000000000-2-20000000000000000002-22000000-1-1110000001-100
χ746666-3-6-6-3-3-3-6633000000003-3000000000000000022000000000000000000-2-2200000011-1-10000001-100
χ756666-3-6-6-3-3-3-6633000000003-30000000000000000-2-200000000000000000022-2000000-1-111000000-1100
χ7688-8-8800-88-80000-4-4-4444-440022-2-20000000000000000000000000000000000000000000000000000000
χ778-88-8800-8-880000-4-44-4-4444002-2-220000000000000000000000000000000000000000000000000000000
χ781212-12-12-6006-6600000000000000000000000000000000000000000000000000000000000−2i32i3000000000000
χ791212-12-12-6006-66000000000000000000000000000000000000000000000000000000000002i3−2i3000000000000
χ8012-1212-12-60066-60000000000000000000000000000004-400000000000000000000000000000-220000000000
χ8112-1212-12-60066-6000000000000000000000000000000-44000000000000000000000000000002-20000000000
χ8212-12-1212-612-12-66600-66000000000000000000000000000000000000000000000000000000000000000000000
χ8312-12-1212-6-1212-666006-6000000000000000000000000000000000000000000000000000000000000000000000

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