Finite Group Databasebeta

← Group #13149584

Character table — Group #13149584

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order1222344666441212336666661212444436661212121212121212224444444412121212121212121212121222444466121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-11-1-1-1-111-1-111-1-1-1-1-11-11
χ51111111111-1-11111111111-1-1111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ61111111111-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-111111-1-111-1-1-1-111-11-11
χ81111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1111-1-1-1-1-1111111-1-1111-11-1
χ911111-1-11111-1-1-111111111-1111111111-1-1-1-111-1-111-1-1-1-1-1-11111111-1-1-1-1-1111-1-11-1111-1-1-1-1-1-111-1-1111-1-11
χ1011111-1-11111-1-1-111111111-1111111111-1-1-1-111-1-1-1-111-1-111-1-111111-1-1-1-1-111-11-111-1-1-11111-1-1-1-1-1-111-111-1
χ1111111-1-11111-1-1-111111111-11-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11-1-1-1-1-111111-1-1-111-1-11111-1-111-1-111-1-1
χ1211111-1-11111-1-1-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-111-1-11-111-1-111-1-1111111-1-1-1-111
χ1311111-1-1111-11-1-1111111111-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1111-1-1-1-1-111-11-111-1-1-1-11111-1-1-1-1-111-1
χ1411111-1-1111-11-1-1111111111-111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1111-1-1-1-11-11-1-11-1-1111111-1-1-1-1-1-11-1-11
χ1511111-1-1111-11-1-1111111111-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111-1-111-1-1-1-11111-1-111
χ1611111-1-1111-11-1-1111111111-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1111-1-1-1-111-11-1-1-1-111-1-1-1-111111111-1-1
χ17222222222222222-1-12-12-12220000-1-1-1-1-1-122222200000022220000-1-1-1-1-1-1-1-10200020000-1-100-1-100000-10-1
χ18222222222222222-1-12-12-12220000-1-1-1-1-1-1222222000000-2-2-2-20000-1-1-1-1-1-1-1-10-2000-2000011001100000101
χ1922222222222222-122-12-12-1222222-1-1-1-122-1-1-1-1-1-10000220000-1-1-1-122-1-1-1-1-1-1002200000000-1-100-1-1-1-10000
χ2022222222222222-122-12-12-122-2-2-2-2-1-1-1-122-1-1-1-1-1-10000-2-20000111122-1-1-1-1-1-100-2-200000000110011110000
χ212222222222-2-2222-1-12-12-12-2-20000-1-1-1-1-1-122-2-2-2-2000000222200001111-1-1110-2000-20000-1-100-1-100000101
χ222222222222-2-2222-1-12-12-12-2-20000-1-1-1-1-1-122-2-2-2-2000000-2-2-2-200001111-1-111020002000011001100000-10-1
χ232222222222-2-222-122-12-12-1-2-22222-1-1-1-122-1-111110000220000-1-1-1-1-2-211-1-11100-2-2000000001100-1-1110000
χ242222222222-2-222-122-12-12-1-2-2-2-2-2-2-1-1-1-122-1-111110000-2-200001111-2-211-1-111002200000000-1-10011-1-10000
χ2522222-2-22222-2-2-22-1-12-12-12-220000-1-1-1-111-2-222-2-200000022-2-20000-111111-1-102000-20000-1-1001100000-101
χ2622222-2-22222-2-2-22-1-12-12-12-220000-1-1-1-111-2-222-2-2000000-2-2220000-111111-1-10-2000200001100-1-10000010-1
χ2722222-2-22222-2-2-2-122-12-12-1-222222-1-1-1-1-2-211-1-1110000-2-20000-1-1-1-12-21111-1-100-2200000000110011-1-10000
χ2822222-2-22222-2-2-2-122-12-12-1-22-2-2-2-2-1-1-1-1-2-211-1-111000022000011112-21111-1-1002-200000000-1-100-1-1110000
χ2922222-2-2222-22-2-22-1-12-12-122-20000-1-1-1-111-2-2-2-22200000022-2-200001-1-1-111110-200020000-1-100110000010-1
χ3022222-2-2222-22-2-22-1-12-12-122-20000-1-1-1-111-2-2-2-222000000-2-22200001-1-1-1111102000-200001100-1-100000-101
χ3122222-2-2222-22-2-2-122-12-12-12-22222-1-1-1-1-2-21111-1-10000-2-20000-1-1-1-1-22-1-11111002-200000000-1-10011110000
χ3222222-2-2222-22-2-2-122-12-12-12-2-2-2-2-2-1-1-1-1-2-21111-1-100002200001111-22-1-1111100-22000000001100-1-1-1-10000
χ3322-2-2200-2-220000222-2-22-2-2002i2i−2i−2i2-2-22000000002-20000002i−2i2i2i−2i−2i000000000000002-20000002i−2i00000000
χ3422-2-2200-2-220000222-2-22-2-2002i2i−2i−2i2-2-2200000000-22000000−2i2i2i2i−2i−2i00000000000000-22000000−2i2i00000000
χ3522-2-2200-2-220000222-2-22-2-200−2i−2i2i2i2-2-22000000002-2000000−2i2i−2i−2i2i2i000000000000002-2000000−2i2i00000000
χ3622-2-2200-2-220000222-2-22-2-200−2i−2i2i2i2-2-2200000000-220000002i−2i−2i−2i2i2i00000000000000-220000002i−2i00000000
χ372-22-222i−2i2-2-2002i−2i22-2-22-2-22002i−2i2i−2i2-22-22i−2i2i−2i000000002-200002i−2i2i−2i00002i−2i0000000000000000002-2000000
χ382-22-222i−2i2-2-2002i−2i22-2-22-2-2200−2i2i−2i2i2-22-22i−2i2i−2i00000000-220000−2i2i−2i2i00002i−2i000000000000000000-22000000
χ392-22-222i−2i2-2-2002i−2i-12-2121-2-1002i−2i2i−2i-11-112i−2i−ii3−3−i3i300002-20000−ii−ii00−i3i3−ii3−30000000000003−300-11−i3i30000
χ402-22-222i−2i2-2-2002i−2i-12-2121-2-1002i−2i2i−2i-11-112i−2i−ii−33i3−i300002-20000−ii−ii00i3−i3−ii−33000000000000−3300-11i3−i30000
χ412-22-222i−2i2-2-2002i−2i-12-2121-2-100−2i2i−2i2i-11-112i−2i−ii3−3−i3i30000-220000i−ii−i00−i3i3−ii3−3000000000000−33001-1i3−i30000
χ422-22-222i−2i2-2-2002i−2i-12-2121-2-100−2i2i−2i2i-11-112i−2i−ii−33i3−i30000-220000i−ii−i00i3−i3−ii−330000000000003−3001-1−i3i30000
χ432-22-22−2i2i2-2-200−2i2i22-2-22-2-22002i−2i2i−2i2-22-2−2i2i−2i2i00000000-2200002i−2i2i−2i0000−2i2i000000000000000000-22000000
χ442-22-22−2i2i2-2-200−2i2i22-2-22-2-2200−2i2i−2i2i2-22-2−2i2i−2i2i000000002-20000−2i2i−2i2i0000−2i2i0000000000000000002-2000000
χ452-22-22−2i2i2-2-200−2i2i-12-2121-2-1002i−2i2i−2i-11-11−2i2ii−i3−3i3−i30000-220000−ii−ii00i3−i3i−i3−3000000000000−33001-1−i3i30000
χ462-22-22−2i2i2-2-200−2i2i-12-2121-2-1002i−2i2i−2i-11-11−2i2ii−i−33−i3i30000-220000−ii−ii00−i3i3i−i−330000000000003−3001-1i3−i30000
χ472-22-22−2i2i2-2-200−2i2i-12-2121-2-100−2i2i−2i2i-11-11−2i2ii−i3−3i3−i300002-20000i−ii−i00i3−i3i−i3−30000000000003−300-11i3−i30000
χ482-22-22−2i2i2-2-200−2i2i-12-2121-2-100−2i2i−2i2i-11-11−2i2ii−i−33−i3i300002-20000i−ii−i00−i3i3i−i−33000000000000−3300-11−i3i30000
χ492-2-22200-22-2000022-22-2-22-2002-2-2222-2-200000000002i−2i002i−2i002-2-2200000000000000002i−2i2i−2i000000000000
χ502-2-22200-22-2000022-22-2-22-2002-2-2222-2-20000000000−2i2i00−2i2i002-2-220000000000000000−2i2i−2i2i000000000000
χ512-2-22200-22-2000022-22-2-22-200-222-222-2-200000000002i−2i00−2i2i00-222-200000000000000002i−2i−2i2i000000000000
χ522-2-22200-22-2000022-22-2-22-200-222-222-2-20000000000−2i2i002i−2i00-222-20000000000000000−2i2i2i−2i000000000000
χ5344444444444444-2-2-2-2-2-2-2-24400001111-2-2-2-2-2-2-2-200000000000000-2-2111111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-400001111-2-2-2-222220000000000000022-1-111-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-2-44000011112222-2-22200000000000000-22-1-1-1-111000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-24-400001111222222-2-2000000000000002-211-1-1-1-1000000000000000000000000
χ5744-4-4400-4-4400004-2-2-4242-4000000-222-200000000000000004i−4i00000000000000000000000000−2i2i00000000
χ5844-4-4400-4-4400004-2-2-4242-4000000-222-20000000000000000−4i4i000000000000000000000000002i−2i00000000
χ5944-4-4400-4-440000-2442-4-2-42004i4i−4i−4i-222-2000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ6044-4-4400-4-440000-2442-4-2-4200−4i−4i4i4i-222-20000000000000000002i2i−2i−2i00000000000000000000000000000000
χ614-44-444i−4i4-4-4004i−4i4-22-4-2-424000000-22-22−2i2i4i−4i0000000000000000000000−2i2i00000000000000000000000000
χ624-44-444i−4i4-4-4004i−4i-2-222-222-20000001-11-1−2i2i−2i2i23−23−2i32i30000000000000000i3−i3i−i−33000000000000000000000000
χ634-44-444i−4i4-4-4004i−4i-2-222-222-20000001-11-1−2i2i−2i2i−23232i3−2i30000000000000000−i3i3i−i3−3000000000000000000000000
χ644-44-44−4i4i4-4-400−4i4i4-22-4-2-424000000-22-222i−2i−4i4i00000000000000000000002i−2i00000000000000000000000000
χ654-44-44−4i4i4-4-400−4i4i-2-222-222-20000001-11-12i−2i2i−2i23−232i3−2i30000000000000000−i3i3−ii−33000000000000000000000000
χ664-44-44−4i4i4-4-400−4i4i-2-222-222-20000001-11-12i−2i2i−2i−2323−2i32i30000000000000000i3−i3−ii3−3000000000000000000000000
χ674-4-44400-44-400004-2242-4-2-4000000-2-222000000000000004i−4i000000000000000000000000−2i2i000000000000
χ684-4-44400-44-400004-2242-4-2-4000000-2-22200000000000000−4i4i0000000000000000000000002i−2i000000000000
χ694-4-44400-44-40000-24-4-2-4242004-4-44-2-222000000000000000000-222-200000000000000000000000000000000
χ704-4-44400-44-40000-24-4-2-424200-444-4-2-2220000000000000000002-2-2200000000000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-300000000000000002222000000000000000000200020-1-1-1-10000000000-10-10
χ726666-366-3-3-366-3-300000000-3-30000000000000000-2-2-2-2000000000000000000-2000-20111100000000001010
χ736666-366-3-3-3-6-6-3-3000000003300000000000000002222000000000000000000-2000-20-1-1-1-100000000001010
χ746666-366-3-3-3-6-6-3-300000000330000000000000000-2-2-2-200000000000000000020002011110000000000-10-10
χ756666-3-6-6-3-3-36-633000000003-3000000000000000022-2-20000000000000000002000-20-1-1110000000000-1010
χ766666-3-6-6-3-3-36-633000000003-30000000000000000-2-222000000000000000000-20002011-1-1000000000010-10
χ776666-3-6-6-3-3-3-663300000000-33000000000000000022-2-2000000000000000000-200020-1-111000000000010-10
χ786666-3-6-6-3-3-3-663300000000-330000000000000000-2-2220000000000000000002000-2011-1-10000000000-1010
χ7988-8-8800-8-880000-4-4-444-4440000002-2-22000000000000000000000000000000000000000000000000000000
χ808-8-88800-88-80000-4-44-444-4400000022-2-2000000000000000000000000000000000000000000000000000000
χ811212-12-12-60066-60000000000000000000000000000004-400000000000000000000000000-220000000000000000
χ821212-12-12-60066-6000000000000000000000000000000-44000000000000000000000000002-20000000000000000
χ8312-1212-12-612i−12i-66600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6−12i12i-666006i−6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-6006-66000000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000000000
χ8612-12-1212-6006-6600000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000000000000

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