Finite Group Databasebeta

← Group #13149588

Character table — Group #13149588

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size1111222222444466666666881212121212121212121212121818181818181818181818181818242424242424242436363636363636363636363636363636363636363672727272
order122234466644121233666666121236661212121212121212224444444466661212121212121212244444412121212121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11-11-11-1-1-1-111-1-111-1-1-1-1-1-111
χ51111111111-1-11111111111-1-11111-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-11-1111111-1-11111-1-1-1-1-1-1
χ61111111111-1-11111111111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-111-11-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111-1-11111111111-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111-1-1-1-111-1-111
χ81111111111-1-11111111111-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ911111-1-11111-1-1-1111111111-11111-1-1-1-1-1-111111111-1-11111111-1-1-1-1-111-11-1-1-1-11-1-111-1-1-1-111-1-111-11-11
χ1011111-1-11111-1-1-1111111111-11111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-1-1-1111-11-111-111-1-111-1-1-1-1-1-1111-11-1
χ1111111-1-11111-1-1-1111111111-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-1-111-11111-1-1-1-1111111-1-111-1-1-111-1
χ1211111-1-11111-1-1-1111111111-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-11-11111-1-1-1-1111111-1-11-1-11
χ1311111-1-1111-11-1-111111111-11111111-1-1-1-1-1-11111-1-111111111-1111-1-1-1-11-1-1-11-1-1-1-111-1-11111-1-1-1-11-11-1
χ1411111-1-1111-11-1-111111111-11111111-1-1-1-1-1-111-1-1-1-111-1-11111-1111-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-11-11
χ1511111-1-1111-11-1-111111111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-11-1-11111-1-1-1-111111-1-11
χ1611111-1-1111-11-1-111111111-11111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-1-11-1111-111-1-1-1-1-1-1111111-111-1
χ17222222222222222-1-12-122-122-1-1-1-1-1-122-1-1-1-12200222200-1-1-1-122-1-1-1-1-1-10002000000000-1-100-1-1-1-10000
χ18222222222222222-1-12-122-122-1-1-1-1-1-122-1-1-1-1-2-200-2-2-2-200111122-1-1-1-1-1-1000-2000000000110011110000
χ1922222222222222-122-12-1-1222-1-1-1-122-1-1222200000000220000-1-1-1-1-1-1-1-100202020000-1-100-1-1000000-1-1
χ2022222222222222-122-12-1-1222-1-1-1-122-1-1222200000000-2-20000-1-1-1-1-1-1-1-100-20-20-2000011001100000011
χ212222222222-2-2222-1-12-122-1-2-2-1-1-1-11122-1-1112200-2-2-2-200-1-1-1-1-2-211-1-11100020000000001100-1-1110000
χ222222222222-2-2222-1-12-122-1-2-2-1-1-1-11122-1-111-2-2002222001111-2-211-1-111000-2000000000-1-10011-1-10000
χ232222222222-2-222-122-12-1-12-2-2-1-1-1-1-2-2-1-122-2-2000000002200001111-1-1110020-20-20000-1-100-1-100000011
χ242222222222-2-222-122-12-1-12-2-2-1-1-1-1-2-2-1-122-2-200000000-2-200001111-1-11100-202020000110011000000-1-1
χ2522222-2-22222-2-2-22-1-12-122-12-2-1-1-1-111-2-211-1-1220022-2-200-1-1-1-12-21111-1-1000-2000000000110011-1-10000
χ2622222-2-22222-2-2-22-1-12-122-12-2-1-1-1-111-2-211-1-1-2-200-2-2220011112-21111-1-10002000000000-1-100-1-1110000
χ2722222-2-22222-2-2-2-122-12-1-122-2-1-1-1-1-2-211-2-22200000000220000-111111-1-100-20-20200001100-1-10000001-1
χ2822222-2-22222-2-2-2-122-12-1-122-2-1-1-1-1-2-211-2-22200000000-2-20000-111111-1-1002020-20000-1-10011000000-11
χ2922222-2-2222-22-2-22-1-12-122-1-22-1-1-1-1-1-1-2-211112200-2-22200-1-1-1-1-22-1-11111000-2000000000-1-10011110000
χ3022222-2-2222-22-2-22-1-12-122-1-22-1-1-1-1-1-1-2-21111-2-20022-2-2001111-22-1-1111100020000000001100-1-1-1-10000
χ3122222-2-2222-22-2-2-122-12-1-12-22-1-1-1-12211-2-2-2-2000000002200001-1-1-1111100-2020-200001100-1-1000000-11
χ3222222-2-2222-22-2-2-122-12-1-12-22-1-1-1-12211-2-2-2-200000000-2-200001-1-1-111110020-2020000-1-100110000001-1
χ332-22-22002-2-2000022-2-2-22-22002-2-22000000002-22i−2i00002i−2i22-2-2000000000000000002i−2i00002i−2i00000000
χ342-22-22002-2-2000022-2-2-22-22002-2-22000000002-2−2i2i0000−2i2i22-2-200000000000000000−2i2i0000−2i2i00000000
χ352-22-22002-2-2000022-2-2-22-22002-2-2200000000-222i−2i0000−2i2i-2-222000000000000000002i−2i0000−2i2i00000000
χ362-22-22002-2-2000022-2-2-22-22002-2-2200000000-22−2i2i00002i−2i-2-22200000000000000000−2i2i00002i−2i00000000
χ372-2-2222i−2i-22-2002i−2i22-2-22-22-2002-22-2002i−2i2i−2i0000002i−2i2-200000000002i−2i0000000000000002-200002i−2i0000
χ382-2-2222i−2i-22-2002i−2i22-2-22-22-2002-22-2002i−2i2i−2i000000−2i2i-2200000000002i−2i000000000000000-220000−2i2i0000
χ392-2-2222i−2i-22-2002i−2i2-11-2-1-22100-11-11−i3i32i−2i−ii3−300002i−2i2-200−i3i3−i3i300−i3i3−ii3−30000000000000-11003−3−ii0000
χ402-2-2222i−2i-22-2002i−2i2-11-2-1-22100-11-11−i3i32i−2i−ii3−30000−2i2i-2200i3−i3i3−i300−i3i3−ii3−300000000000001-100−33i−i0000
χ412-2-2222i−2i-22-2002i−2i2-11-2-1-22100-11-11i3−i32i−2i−ii−3300002i−2i2-200i3−i3i3−i300i3−i3−ii−330000000000000-1100−33−ii0000
χ422-2-2222i−2i-22-2002i−2i2-11-2-1-22100-11-11i3−i32i−2i−ii−330000−2i2i-2200−i3i3−i3i300i3−i3−ii−3300000000000001-1003−3i−i0000
χ432-2-222−2i2i-22-200−2i2i22-2-22-22-2002-22-200−2i2i−2i2i0000002i−2i-220000000000−2i2i000000000000000-2200002i−2i0000
χ442-2-222−2i2i-22-200−2i2i22-2-22-22-2002-22-200−2i2i−2i2i000000−2i2i2-20000000000−2i2i0000000000000002-20000−2i2i0000
χ452-2-222−2i2i-22-200−2i2i2-11-2-1-22100-11-11−i3i3−2i2ii−i−3300002i−2i-2200i3−i3i3−i300−i3i3i−i−3300000000000001-1003−3−ii0000
χ462-2-222−2i2i-22-200−2i2i2-11-2-1-22100-11-11−i3i3−2i2ii−i−330000−2i2i2-200−i3i3−i3i300−i3i3i−i−330000000000000-1100−33i−i0000
χ472-2-222−2i2i-22-200−2i2i2-11-2-1-22100-11-11i3−i3−2i2ii−i3−300002i−2i-2200−i3i3−i3i300i3−i3i−i3−300000000000001-100−33−ii0000
χ482-2-222−2i2i-22-200−2i2i2-11-2-1-22100-11-11i3−i3−2i2ii−i3−30000−2i2i2-200i3−i3i3−i300i3−i3i−i3−30000000000000-11003−3i−i0000
χ4944444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-200000000000000-2-21111110000000000000000000000000
χ504444444444-4-444-2-2-2-2-2-2-2-2-4-4111122-2-2-2-2220000000000000022-1-111-1-10000000000000000000000000
χ5144444-4-44444-4-4-4-2-2-2-2-2-2-2-24-41111222222-2-200000000000000-22-1-1-1-1110000000000000000000000000
χ5244444-4-4444-44-4-4-2-2-2-2-2-2-2-2-441111-2-2222222000000000000002-211-1-1-1-10000000000000000000000000
χ5344-4-4400-4-4400004444-4-4-4-40044-4-40000000000000000000000000000000000000000000000000000000
χ5444-4-4400-4-4400004-2-242-4-4200-2-222000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ5544-4-4400-4-4400004-2-242-4-4200-2-2220000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ5644-4-4400-4-440000-244-2-422-400-2-22200000000000000000000000000000000000000000−2i32i3000000000000
χ5744-4-4400-4-440000-244-2-422-400-2-222000000000000000000000000000000000000000002i3−2i3000000000000
χ584-44-44004-4-400004-22-424-4-200-222-2000000004-400000000-2-222000000000000000000000000000000000
χ594-44-44004-4-400004-22-424-4-200-222-200000000-440000000022-2-2000000000000000000000000000000000
χ604-44-44004-4-40000-24-42-4-22400-222-200000000000000004i−4i000000000000000000000000000−2i2i00000000
χ614-44-44004-4-40000-24-42-4-22400-222-20000000000000000−4i4i0000000000000000000000000002i−2i00000000
χ624-4-4444i−4i-44-4004i−4i-24-4242-2-400-22-2200−2i2i4i−4i00000000000000000000−2i2i000000000000000000000000000
χ634-4-4444i−4i-44-4004i−4i-2-222-22-22001-11-1−2i32i3−2i2i−2i2i23−230000000000000000i3−i3i−i−330000000000000000000000000
χ644-4-4444i−4i-44-4004i−4i-2-222-22-22001-11-12i3−2i3−2i2i−2i2i−23230000000000000000−i3i3i−i3−30000000000000000000000000
χ654-4-444−4i4i-44-400−4i4i-24-4242-2-400-22-22002i−2i−4i4i000000000000000000002i−2i000000000000000000000000000
χ664-4-444−4i4i-44-400−4i4i-2-222-22-22001-11-1−2i32i32i−2i2i−2i−23230000000000000000i3−i3−ii3−30000000000000000000000000
χ674-4-444−4i4i-44-400−4i4i-2-222-22-22001-11-12i3−2i32i−2i2i−2i23−230000000000000000−i3i3−ii−330000000000000000000000000
χ686666-366-3-3-366-3-300000000-3-300000000000000220000000000000000002200020-1-1-1-10000000000-1-100
χ696666-366-3-3-366-3-300000000-3-300000000000000-2-2000000000000000000-2-2000-20111100000000001100
χ706666-366-3-3-3-6-6-3-300000000330000000000000022000000000000000000-2-200020-1-1-1-100000000001100
χ716666-366-3-3-3-6-6-3-3000000003300000000000000-2-200000000000000000022000-2011110000000000-1-100
χ726666-3-6-6-3-3-36-63300000000-330000000000000022000000000000000000-22000-2011-1-100000000001-100
χ736666-3-6-6-3-3-36-63300000000-3300000000000000-2-20000000000000000002-200020-1-1110000000000-1100
χ746666-3-6-6-3-3-3-6633000000003-300000000000000220000000000000000002-2000-2011-1-10000000000-1100
χ756666-3-6-6-3-3-3-6633000000003-300000000000000-2-2000000000000000000-2200020-1-11100000000001-100
χ7688-8-8800-8-880000-4-4-4-444440022-2-20000000000000000000000000000000000000000000000000000000
χ778-88-88008-8-80000-4-4444-44-4002-2-220000000000000000000000000000000000000000000000000000000
χ781212-12-12-60066-6000000000000000000000000000000000000000000000000000000023−230000000000000000
χ791212-12-12-60066-60000000000000000000000000000000000000000000000000000000−23230000000000000000
χ8012-1212-12-600-66600000000000000000000000000004i−4i000000000000000000000000000−2i2i00000000000000
χ8112-1212-12-600-6660000000000000000000000000000−4i4i0000000000000000000000000002i−2i00000000000000
χ8212-12-1212-612i−12i6-6600−6i6i000000000000000000000000000000000000000000000000000000000000000000000
χ8312-12-1212-6−12i12i6-66006i−6i000000000000000000000000000000000000000000000000000000000000000000000

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