Finite Group Databasebeta

← Group #13149490

Character table — Group #13149490

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
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-111-1-1-1-1-1-111-1-1-1-1-11-11
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-11-1-11111-1-1-1-1-1-1-1-11-11-1
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
χ71111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1111-1-1-1-11111-1-1111-11-1
χ81111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1111-1-1-1111111-1-1-1-111-11-11
χ911111-1-11111-1-1-1111111111-111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-11-1-1-1-1111-1-11-1111-1-111-1-1-1-1-1-111-111-1
χ1011111-1-11111-1-1-1111111111-111111111-1-1-1-111-1-1-1-111-1-111-1-11111-11-1-1-1-111-11-111-1-1-111-1-1-1-111-1-1111-1-11
χ1111111-1-11111-1-1-1111111111-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-11-1-1-1-111111-1-1-11111-1-111-1-111-1-111-1-1
χ1211111-1-11111-1-1-1111111111-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-1-1-111-1-11-111-1-1-1-111111111-1-1-1-111
χ1311111-1-1111-11-1-111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-111-1-1-1-1-111-11-111-1-11111-1-1-1-1-1-11-1-11
χ1411111-1-1111-11-1-111111111-1111111111-1-1-1-1-1-111-1-111-1-111-1-111111-111-1-1-1-11-11-1-11-1-111-1-11111-1-1-1-1-111-1
χ1511111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-111
χ1611111-1-1111-11-1-111111111-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11-111-1-1-1-111-11-1-1-1-1-1-111-1-111111111-1-1
χ17222222222222222-1-12-12-12220000-1-1-1-122-1-1222222220000000000-1-1-1-1-1-1-1-1200020-1-1000000-1-100000-10-1
χ18222222222222222-1-12-12-12220000-1-1-1-122-1-12222-2-2-2-20000000000-1-1-1-1-1-1-1-1-2000-20110000001100000101
χ1922222222222222-122-12-12-1222222-1-1-1-1-1-122-1-1-1-10000220000-1-1-1-122-1-1-1-1-1-1002200000000-1-100-1-1-1-10000
χ2022222222222222-122-12-12-122-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-20000111122-1-1-1-1-1-100-2-200000000110011110000
χ212222222222-2-2222-1-12-12-12-2-20000-1-1-1-122-1-1-2-2-2-2222200000000001111-1-111-2000-20-1-1000000-1-100000101
χ222222222222-2-2222-1-12-12-12-2-20000-1-1-1-122-1-1-2-2-2-2-2-2-2-200000000001111-1-111200020110000001100000-10-1
χ232222222222-2-222-122-12-12-1-2-22222-1-1-1-1-1-12211110000220000-1-1-1-1-2-211-1-11100-2-2000000001100-1-1110000
χ242222222222-2-222-122-12-12-1-2-2-2-2-2-2-1-1-1-1-1-12211110000-2-200001111-2-211-1-111002200000000-1-10011-1-10000
χ2522222-2-22222-2-2-22-1-12-12-122-20000-1-1-1-1-2-21122-2-222-2-200000000001-11111-1-12000-20-1-10000001100000-101
χ2622222-2-22222-2-2-22-1-12-12-122-20000-1-1-1-1-2-21122-2-2-2-22200000000001-11111-1-1-20002011000000-1-10000010-1
χ2722222-2-22222-2-2-2-122-12-12-12-22222-1-1-1-111-2-2-1-1110000-2-20000-1-1-1-1-221111-1-100-2200000000110011-1-10000
χ2822222-2-22222-2-2-2-122-12-12-12-2-2-2-2-2-1-1-1-111-2-2-1-11100002200001111-221111-1-1002-200000000-1-100-1-1110000
χ2922222-2-2222-22-2-22-1-12-12-12-220000-1-1-1-1-2-211-2-22222-2-20000000000-11-1-11111-200020-1-1000000110000010-1
χ3022222-2-2222-22-2-22-1-12-12-12-220000-1-1-1-1-2-211-2-222-2-2220000000000-11-1-111112000-2011000000-1-100000-101
χ3122222-2-2222-22-2-2-122-12-12-1-222222-1-1-1-111-2-211-1-10000-2-20000-1-1-1-12-2-1-11111002-200000000-1-10011110000
χ3222222-2-2222-22-2-2-122-12-12-1-22-2-2-2-2-1-1-1-111-2-211-1-1000022000011112-2-1-1111100-22000000001100-1-1-1-10000
χ3322-2-22002-2-2000022-2-2-222-2002i2i−2i−2i2-2-22000000002-20000002i−2i2i2i−2i−2i000000000000002-2002i−2i000000000000
χ3422-2-22002-2-2000022-2-2-222-2002i2i−2i−2i2-2-2200000000-22000000−2i2i2i2i−2i−2i00000000000000-2200−2i2i000000000000
χ3522-2-22002-2-2000022-2-2-222-200−2i−2i2i2i2-2-22000000002-2000000−2i2i−2i−2i2i2i000000000000002-200−2i2i000000000000
χ3622-2-22002-2-2000022-2-2-222-200−2i−2i2i2i2-2-2200000000-220000002i−2i−2i−2i2i2i00000000000000-22002i−2i000000000000
χ372-22-222i−2i-22-2002i−2i222-2-2-2-22002i−2i2i−2i2-22-22i−2i2i−2i000000002-200002i−2i2i−2i00002i−2i0000000000000000002-2000000
χ382-22-222i−2i-22-2002i−2i222-2-2-2-2200−2i2i−2i2i2-22-22i−2i2i−2i00000000-220000−2i2i−2i2i00002i−2i000000000000000000-22000000
χ392-22-222i−2i-22-2002i−2i-1221-21-2-1002i−2i2i−2i-11-11−ii2i−2i3−3−i3i300002-20000−ii−ii00−i3i3−ii3−30000000000003−300-11−i3i30000
χ402-22-222i−2i-22-2002i−2i-1221-21-2-1002i−2i2i−2i-11-11−ii2i−2i−33i3−i300002-20000−ii−ii00i3−i3−ii−33000000000000−3300-11i3−i30000
χ412-22-222i−2i-22-2002i−2i-1221-21-2-100−2i2i−2i2i-11-11−ii2i−2i3−3−i3i30000-220000i−ii−i00−i3i3−ii3−3000000000000−33001-1i3−i30000
χ422-22-222i−2i-22-2002i−2i-1221-21-2-100−2i2i−2i2i-11-11−ii2i−2i−33i3−i30000-220000i−ii−i00i3−i3−ii−330000000000003−3001-1−i3i30000
χ432-22-22−2i2i-22-200−2i2i222-2-2-2-22002i−2i2i−2i2-22-2−2i2i−2i2i00000000-2200002i−2i2i−2i0000−2i2i000000000000000000-22000000
χ442-22-22−2i2i-22-200−2i2i222-2-2-2-2200−2i2i−2i2i2-22-2−2i2i−2i2i000000002-20000−2i2i−2i2i0000−2i2i0000000000000000002-2000000
χ452-22-22−2i2i-22-200−2i2i-1221-21-2-1002i−2i2i−2i-11-11i−i−2i2i3−3i3−i30000-220000−ii−ii00i3−i3i−i3−3000000000000−33001-1−i3i30000
χ462-22-22−2i2i-22-200−2i2i-1221-21-2-1002i−2i2i−2i-11-11i−i−2i2i−33−i3i30000-220000−ii−ii00−i3i3i−i−330000000000003−3001-1i3−i30000
χ472-22-22−2i2i-22-200−2i2i-1221-21-2-100−2i2i−2i2i-11-11i−i−2i2i3−3i3−i300002-20000i−ii−i00i3−i3i−i3−30000000000003−300-11i3−i30000
χ482-22-22−2i2i-22-200−2i2i-1221-21-2-100−2i2i−2i2i-11-11i−i−2i2i−33−i3i300002-20000i−ii−i00−i3i3i−i−33000000000000−3300-11−i3i30000
χ492-2-22200-2-22000022-222-2-2-2002-2-2222-2-200000000002i−2i002i−2i002-2-2200000000000000002i−2i00002i−2i00000000
χ502-2-22200-2-22000022-222-2-2-2002-2-2222-2-20000000000−2i2i00−2i2i002-2-220000000000000000−2i2i0000−2i2i00000000
χ512-2-22200-2-22000022-222-2-2-200-222-222-2-200000000002i−2i00−2i2i00-222-20000000000000000−2i2i00002i−2i00000000
χ522-2-22200-2-22000022-222-2-2-200-222-222-2-20000000000−2i2i002i−2i00-222-200000000000000002i−2i0000−2i2i00000000
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
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-4000011112222-2-222000000000000002-2-1-1-1-111000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-4400001111222222-2-200000000000000-2211-1-1-1-1000000000000000000000000
χ5744-4-44004-4-400004-22-424-2-4000000-222-2000000004-400000000000000000000000000-220000000000000000
χ5844-4-44004-4-400004-22-424-2-4000000-222-200000000-44000000000000000000000000002-20000000000000000
χ5944-4-44004-4-40000-24-42-4-242004i4i−4i−4i-222-2000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ6044-4-44004-4-40000-24-42-4-24200−4i−4i4i4i-222-20000000000000000002i2i−2i−2i00000000000000000000000000000000
χ614-44-444i−4i-44-4004i−4i4-2-2-42-424000000-22-224i−4i−2i2i0000000000000000000000−2i2i00000000000000000000000000
χ624-44-444i−4i-44-4004i−4i-2-2-22222-20000001-11-1−2i2i−2i2i23−23−2i32i30000000000000000i3−i3i−i−33000000000000000000000000
χ634-44-444i−4i-44-4004i−4i-2-2-22222-20000001-11-1−2i2i−2i2i−23232i3−2i30000000000000000−i3i3i−i3−3000000000000000000000000
χ644-44-44−4i4i-44-400−4i4i4-2-2-42-424000000-22-22−4i4i2i−2i00000000000000000000002i−2i00000000000000000000000000
χ654-44-44−4i4i-44-400−4i4i-2-2-22222-20000001-11-12i−2i2i−2i23−232i3−2i30000000000000000−i3i3−ii−33000000000000000000000000
χ664-44-44−4i4i-44-400−4i4i-2-2-22222-20000001-11-12i−2i2i−2i−2323−2i32i30000000000000000i3−i3−ii3−3000000000000000000000000
χ674-4-44400-4-4400004-224-2-42-4000000-2-22200000000004i−4i00000000000000000000000000000000−2i2i00000000
χ684-4-44400-4-4400004-224-2-42-4000000-2-2220000000000−4i4i000000000000000000000000000000002i−2i00000000
χ694-4-44400-4-440000-24-4-242-42004-4-44-2-222000000000000000000-222-200000000000000000000000000000000
χ704-4-44400-4-440000-24-4-242-4200-444-4-2-2220000000000000000002-2-2200000000000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-30000000000000000000000222200000000000002000200-1-1-1-100000000-10-10
χ726666-366-3-3-366-3-300000000-3-30000000000000000000000-2-2-2-20000000000000-2000-2001111000000001010
χ736666-366-3-3-3-6-6-3-30000000033000000000000000000000022220000000000000-2000-200-1-1-1-1000000001010
χ746666-366-3-3-3-6-6-3-300000000330000000000000000000000-2-2-2-200000000000002000200111100000000-10-10
χ756666-3-6-6-3-3-36-63300000000-33000000000000000000000022-2-200000000000002000-200-1-11100000000-1010
χ766666-3-6-6-3-3-36-63300000000-330000000000000000000000-2-2220000000000000-200020011-1-10000000010-10
χ776666-3-6-6-3-3-3-6633000000003-3000000000000000000000022-2-20000000000000-2000200-1-1110000000010-10
χ786666-3-6-6-3-3-3-6633000000003-30000000000000000000000-2-22200000000000002000-20011-1-100000000-1010
χ7988-8-88008-8-80000-4-4444-4-440000002-2-22000000000000000000000000000000000000000000000000000000
χ808-8-88800-8-880000-4-44-4-444400000022-2-2000000000000000000000000000000000000000000000000000000
χ811212-12-12-600-666000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i000000000000
χ821212-12-12-600-66600000000000000000000000000000000000000−4i4i00000000000000000000002i−2i000000000000
χ8312-1212-12-612i−12i6-6600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6−12i12i6-66006i−6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-60066-60000000000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000000000
χ8612-12-1212-60066-6000000000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000000000

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