Finite Group Databasebeta

← Group #13148712

Character table — Group #13148712

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order12223446662412123366666661222223666661212121212122222444444666666612121212122224446666661212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111111111-11-1-11-111-1-1-1-111-1-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-111-11-11
χ51111111111-1-11111111111-1-111111-1-11111111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1
χ61111111111-1-11111111111-1-111111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-11-1-11111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-111111-1-111-1-111-1-1-11-11
χ81111111111-1-11111111111-1-1-1-1-1-11-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-111-1-1-11111-1-1-1-111111-11-1
χ911111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ1011111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ1111111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1111-111-1-1-1-1-1-1111111-111-1
χ1211111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-11-11-11-1-1-1-111111111-1-11-1-11
χ1311111-1-1111-11-1-111111111-1111111-1-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-11-1-111-1111-1-111-1-111-1-1-1-111-1-111-1-1
χ1411111-1-1111-11-1-111111111-1111111-1-1111-1-1-1-111-1-1-1-1-1-111111111-1-1-11-1-111-1-1-1111-1-1-1-1-1-111-1-11111-1-111
χ1511111-1-1111-11-1-111111111-11-1-1-1-11-1-1111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-11-1-11111-1-1-111111-1-1-1-111-1-1111-1-11
χ1611111-1-1111-11-1-111111111-11-1-1-1-11-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-1111-11-11-1-1-111111111-1-1-1-1-111-1
χ17222222222222222-12-122-1-1220000-122-1-1-122-1-12200220000220000-1-1-1-1-1-1-1-10020020000-1-1000000-1-10-10-1
χ18222222222222222-12-122-1-1220000-122-1-1-122-1-12200-2-20000-2-20000-1-1-1-1-1-1-1-100-200-2000011000000110101
χ1922222222222222-12-12-1-122222222-1-1-1-1-1-1-1-122-1-10000220000-1-1-1-12-1-12-1-1-1-120020000-1-10000-1-1-1-1000000
χ2022222222222222-12-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-10000-2-2000011112-1-12-1-1-1-1-200-200001100001111000000
χ212222222222-2-2222-12-122-1-1-2-20000-1-2-2-1-1-122-1-1-2-2002200002200001111-1-11100-200-20000-1-1000000-1-10101
χ222222222222-2-2222-12-122-1-1-2-20000-1-2-2-1-1-122-1-1-2-200-2-20000-2-200001111-1-111002002000011000000110-10-1
χ232222222222-2-222-12-12-1-122-2-22222-111-1-1-1-1-122110000220000-1-1-1-1-211-2-1-111-200-20000110000-1-111000000
χ242222222222-2-222-12-12-1-122-2-2-2-2-2-2-111-1-1-1-1-122110000-2-200001111-211-2-1-11120020000-1-1000011-1-1000000
χ2522222-2-22222-2-2-22-12-122-1-12-20000-122-1-1-1-2-211-2-200220000-2-20000-1-1-11111100-20020000-1-100000011010-1
χ2622222-2-22222-2-2-22-12-122-1-12-20000-122-1-1-1-2-211-2-200-2-20000220000-1-1-11111100200-2000011000000-1-10-101
χ2722222-2-22222-2-2-2-12-12-1-1222-22222-1-1-1-1-1-111-2-2110000-2-20000-1-1-1-12-1-1-21111200-20000-1-100001111000000
χ2822222-2-22222-2-2-2-12-12-1-1222-2-2-2-2-2-1-1-1-1-1-111-2-211000022000011112-1-1-21111-20020000110000-1-1-1-1000000
χ2922222-2-2222-22-2-22-12-122-1-1-220000-1-2-2-1-1-1-2-2112200220000-2-20000111-111-1-100200-20000-1-1000000110-101
χ3022222-2-2222-22-2-22-12-122-1-1-220000-1-2-2-1-1-1-2-2112200-2-20000220000111-111-1-100-2002000011000000-1-1010-1
χ3122222-2-2222-22-2-2-12-12-1-122-222222-111-1-1-111-2-2-1-10000-2-20000-1-1-1-1-211211-1-1-2002000011000011-1-1000000
χ3222222-2-2222-22-2-2-12-12-1-122-22-2-2-2-2-111-1-1-111-2-2-1-100002200001111-211211-1-1200-20000-1-10000-1-111000000
χ3322-2-222i−2i2-2-2002i−2i2222-2-2-2-20022-2-22002-2-22i−2i2i−2i0000002i−2i000022-2-200002i−2i00000000000000002i−2i00000000
χ3422-2-222i−2i2-2-2002i−2i2222-2-2-2-200-2-2222002-2-22i−2i2i−2i000000−2i2i0000-2-22200002i−2i0000000000000000−2i2i00000000
χ3522-2-222i−2i2-2-2002i−2i-12-1211-2-20022-2-2-1−i3i3-111−ii2i−2i3−300002i−2i0000-1-1110−i3i30−ii3−300000000−i3i30000−ii3−3000000
χ3622-2-222i−2i2-2-2002i−2i-12-1211-2-20022-2-2-1i3−i3-111−ii2i−2i−3300002i−2i0000-1-1110i3−i30−ii−3300000000i3−i30000−ii−33000000
χ3722-2-222i−2i2-2-2002i−2i-12-1211-2-200-2-222-1−i3i3-111−ii2i−2i3−30000−2i2i000011-1-10−i3i30−ii3−300000000i3−i30000i−i−33000000
χ3822-2-222i−2i2-2-2002i−2i-12-1211-2-200-2-222-1i3−i3-111−ii2i−2i−330000−2i2i000011-1-10i3−i30−ii−3300000000−i3i30000i−i3−3000000
χ3922-2-22−2i2i2-2-200−2i2i2222-2-2-2-20022-2-22002-2-2−2i2i−2i2i000000−2i2i000022-2-20000−2i2i0000000000000000−2i2i00000000
χ4022-2-22−2i2i2-2-200−2i2i2222-2-2-2-200-2-2222002-2-2−2i2i−2i2i0000002i−2i0000-2-2220000−2i2i00000000000000002i−2i00000000
χ4122-2-22−2i2i2-2-200−2i2i-12-1211-2-20022-2-2-1−i3i3-111i−i−2i2i−330000−2i2i0000-1-1110−i3i30i−i−3300000000−i3i30000i−i−33000000
χ4222-2-22−2i2i2-2-200−2i2i-12-1211-2-20022-2-2-1i3−i3-111i−i−2i2i3−30000−2i2i0000-1-1110i3−i30i−i3−300000000i3−i30000i−i3−3000000
χ4322-2-22−2i2i2-2-200−2i2i-12-1211-2-200-2-222-1−i3i3-111i−i−2i2i−3300002i−2i000011-1-10−i3i30i−i−3300000000i3−i30000−ii3−3000000
χ4422-2-22−2i2i2-2-200−2i2i-12-1211-2-200-2-222-1i3−i3-111i−i−2i2i3−300002i−2i000011-1-10i3−i30i−i3−300000000−i3i30000−ii−33000000
χ452-22-2200-22-2000022-2-22-22-2002-22-2200-22-20000000000002-22-22-22-2000000000000000000002-200002-20000
χ462-22-2200-22-2000022-2-22-22-2002-22-2200-22-2000000000000-22-222-22-200000000000000000000-220000-220000
χ472-22-2200-22-2000022-2-22-22-200-22-22200-22-20000000000002-2-22-22-22000000000000000000002-20000-220000
χ482-22-2200-22-2000022-2-22-22-200-22-22200-22-2000000000000-222-2-22-2200000000000000000000-2200002-20000
χ492-2-22200-2-22000022-2-2-22-22002-2-22200-2-220000002-22-20000002-2-22000000000000002-2002-2000000000000
χ502-2-22200-2-22000022-2-2-22-22002-2-22200-2-22000000-22-220000002-2-2200000000000000-2200-22000000000000
χ512-2-22200-2-22000022-2-2-22-2200-222-2200-2-220000002-2-22000000-222-2000000000000002-200-22000000000000
χ522-2-22200-2-22000022-2-2-22-2200-222-2200-2-22000000-222-2000000-222-200000000000000-22002-2000000000000
χ5344444444444444-2-2-2-2-2-2-2-24400001-2-2111-2-2-2-2-2-200000000000000-211-21111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-40000122111-2-2-2-222000000000000002-1-1211-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-400001-2-211122222200000000000000-2112-1-1-1-1000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-4400001221112222-2-2000000000000002-1-1-2-1-111000000000000000000000000
χ5744-4-444i−4i4-4-4004i−4i4-24-2-4-422000000-200-2224i−4i−2i2i00000000000000000000−2i2i00000000000000000000000000
χ5844-4-444i−4i4-4-4004i−4i-2-2-2-222220000001−2i32i31-1-1−2i2i−2i2i23−23000000000000000i3−i30i−i−33000000000000000000000000
χ5944-4-444i−4i4-4-4004i−4i-2-2-2-2222200000012i3−2i31-1-1−2i2i−2i2i−2323000000000000000−i3i30i−i3−3000000000000000000000000
χ6044-4-44−4i4i4-4-400−4i4i4-24-2-4-422000000-200-222−4i4i2i−2i000000000000000000002i−2i00000000000000000000000000
χ6144-4-44−4i4i4-4-400−4i4i-2-2-2-222220000001−2i32i31-1-12i−2i2i−2i−2323000000000000000i3−i30−ii3−3000000000000000000000000
χ6244-4-44−4i4i4-4-400−4i4i-2-2-2-2222200000012i3−2i31-1-12i−2i2i−2i23−23000000000000000−i3i30−ii−33000000000000000000000000
χ634-44-4400-44-400004-2-424-4-22000000-2002-22000000000000004-4000000000000000000000000000000-220000
χ644-44-4400-44-400004-2-424-4-22000000-2002-2200000000000000-440000000000000000000000000000002-20000
χ654-44-4400-44-40000-242-4-224-4004-44-4-2002-220000000000000000-22-2200000000000000000000000000000000
χ664-44-4400-44-40000-242-4-224-400-44-44-2002-2200000000000000002-22-200000000000000000000000000000000
χ674-4-44400-4-4400004-2-42-442-2000000-20022-2000000004-40000000000000000000000000000-22000000000000
χ684-4-44400-4-4400004-2-42-442-2000000-20022-200000000-4400000000000000000000000000002-2000000000000
χ694-4-44400-4-440000-242-42-2-44004-4-44-20022-20000000000000000-222-200000000000000000000000000000000
χ704-4-44400-4-440000-242-42-2-4400-444-4-20022-200000000000000002-2-2200000000000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-300000000000000002200002200000000000000020020-1-10000-1-1000000-10-10
χ726666-366-3-3-366-3-300000000-3-30000000000000000-2-20000-2-2000000000000000-200-20110000110000001010
χ736666-366-3-3-3-6-6-3-30000000033000000000000000022000022000000000000000-200-20-1-10000-1-10000001010
χ746666-366-3-3-3-6-6-3-300000000330000000000000000-2-20000-2-20000000000000002002011000011000000-10-10
χ756666-3-6-6-3-3-36-63300000000-330000000000000000220000-2-2000000000000000-20020-1-100001100000010-10
χ766666-3-6-6-3-3-36-63300000000-330000000000000000-2-2000022000000000000000200-20110000-1-1000000-1010
χ776666-3-6-6-3-3-3-6633000000003-30000000000000000220000-2-2000000000000000200-20-1-1000011000000-1010
χ786666-3-6-6-3-3-3-6633000000003-30000000000000000-2-2000022000000000000000-20020110000-1-100000010-10
χ798-88-8800-88-80000-4-444-44-44000000200-22-20000000000000000000000000000000000000000000000000000
χ808-8-88800-8-880000-4-4444-44-4000000200-2-220000000000000000000000000000000000000000000000000000
χ811212-12-12-612i−12i-66600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-12-6−12i12i-666006i−6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8312-1212-12-6006-660000000000000000000000000000000000004-400000000000000000000000000-220000000000
χ8412-1212-12-6006-66000000000000000000000000000000000000-44000000000000000000000000002-20000000000
χ8512-12-1212-60066-60000000000000000000000000000004-400000000000000000000000000-220000000000000000
χ8612-12-1212-60066-6000000000000000000000000000000-44000000000000000000000000002-20000000000000000

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