Finite Group Databasebeta

← Group #13150902

Character table — Group #13150902

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222222224444446666666612121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order12223446661212121224661212336666663666666666661212121212121212121212121212121222442224444444661212121212126661212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-11-1-11-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-111-1-1-11-1-1-1-1-1-1-1-11-1-1111-1-1
χ511111111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-111111-11-1-1-1-11-1111-1-1-1-11111-11-1-11-1
χ611111111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-11111-11-1-111-1-11-111-1-1-1-111-1-11-111-11
χ711111111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-11-1-1111-1
χ811111111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-11-111-1-11111-1-11-111-1-1-11
χ911111-1-1111-1-1-1-11-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-11-1-11-11111-1-1-1-111-1-1-11-11
χ1011111-1-1111-1-1-1-11-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-11-111111-1-1-1-1-1-1111-11-1
χ1111111-1-1111-1-1-1-11-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-11-111-1-1-1-11111-11-111-1-11
χ1211111-1-1111-1-1-1-11-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111-1-1-1-1-1-111111-11-1-111-1
χ1311111-1-1111-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1111-11-11-1-1-111-1-111-1-1111-11-1-1-1
χ1411111-1-1111-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-11111111-1-111-1-1-1-1-11-1111
χ1511111-1-1111-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-11111-1-11111-11-11-1-1-11-1-111-1-111-1111-11-1-1
χ1611111-1-1111-1-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-11111-1-111-1-1111-1-111-1-1-111-1-1111-1-1-11-111
χ17222222222222222222222-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002200000220000000000-1-1000-1-1
χ18222222222222222222222-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-200000-2-200000000001100011
χ1922222222222222222222-1222-1-1-12-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002022000200000000-100-1-1-100
χ2022222222222222222222-1222-1-1-12-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-20-2-2000-20000000010011100
χ2122222222222222-2-2-2-2-2-22-1-1-1222-1-1-2-211-1-11111-1-1-11122-2-2-1-1-1-1111100002-2000002-20000000000-11000-11
χ2222222222222222-2-2-2-2-2-22-1-1-1222-1-1-2-211-1-11111-1-1-11122-2-2-1-1-1-111110000-2200000-2200000000001-10001-1
χ2322222222222222-2-2-2-2-2-2-1222-1-1-12-111-2-2-1-11111-122-2-2-1-111-1-1-1-1111100000020-2-2000200000000-100-11100
χ2422222222222222-2-2-2-2-2-2-1222-1-1-12-111-2-2-1-11111-122-2-2-1-111-1-1-1-11111000000-2022000-2000000001001-1-100
χ2522222-2-2222-2-2-2-22-222-2-22-1-1-1222-1-122-1-1-1-1-1-1-1-1-11111-2-2-2-21111111100002-200000-220000000000-110001-1
χ2622222-2-2222-2-2-2-22-222-2-22-1-1-1222-1-122-1-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-22000002-200000000001-1000-11
χ2722222-2-2222-2-2-2-22-222-2-2-1222-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-2-211111111111100000020-22000-200000000-10011-100
χ2822222-2-2222-2-2-2-22-222-2-2-1222-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2111111111111000000-202-2000200000000100-1-1100
χ2922222-2-2222-2-2-2-2-22-2-2222-1-1-1222-1-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-100002200000-2-20000000000-1-100011
χ3022222-2-2222-2-2-2-2-22-2-2222-1-1-1222-1-1-2-211-1-11111-111-1-1-2-2221111-1-1-1-10000-2-20000022000000000011000-1-1
χ3122222-2-2222-2-2-2-2-22-2-222-1222-1-1-12-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-1000000202-2000-200000000-1001-1100
χ3222222-2-2222-2-2-2-2-22-2-222-1222-1-1-12-111-2-2-1-11111-1-2-22211-1-11111-1-1-1-1000000-20-22000200000000100-11-100
χ3322-2-222i−2i2-2-22i2i−2i−2i000000222-22-2-2-2200002-20000-22i−2i002i−2i002i2i−2i−2i00002-22i−2i00000000002-200002i−2i00000000
χ3422-2-222i−2i2-2-22i2i−2i−2i000000222-22-2-2-2200002-20000-22i−2i002i−2i002i2i−2i−2i0000-22−2i2i0000000000-220000−2i2i00000000
χ3522-2-22−2i2i2-2-2−2i−2i2i2i000000222-22-2-2-2200002-20000-2−2i2i00−2i2i00−2i−2i2i2i00002-2−2i2i00000000002-20000−2i2i00000000
χ3622-2-22−2i2i2-2-2−2i−2i2i2i000000222-22-2-2-2200002-20000-2−2i2i00−2i2i00−2i−2i2i2i0000-222i−2i0000000000-2200002i−2i00000000
χ3744444444444444444444-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ3844444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-21222211-1-1-1-11-2-222-2-2221111-1-1-1-1000000000000000000000000000000
χ3944444-4-4444-4-4-4-44-444-4-4-2-2-2-2-2-2-2-21-2-2-2-2111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ4044444-4-4444-4-4-4-4-44-4-444-2-2-2-2-2-2-2-21222211-1-1-1-1122-2-222-2-2-1-1-1-11111000000000000000000000000000000
χ4144-4-444i−4i4-4-44i4i−4i−4i0000004-2-224-4-42-20000-2200002−2i2i004i−4i00−2i−2i2i2i0000000000000000000000000000000000
χ4244-4-444i−4i4-4-44i4i−4i−4i000000-244-4-222-4-20000-22000024i−4i00−2i2i00−2i−2i2i2i0000000000000000000000000000000000
χ4344-4-444i−4i4-4-44i4i−4i−4i000000-2-2-22-2222100001-133-3-3-1−2i2i00−2i2i00ii−i−i3i3i−3i−3i000000000000000000000000000000
χ4444-4-444i−4i4-4-44i4i−4i−4i000000-2-2-22-2222100001-1-3-333-1−2i2i00−2i2i00ii−i−i−3i−3i3i3i000000000000000000000000000000
χ4544-4-44−4i4i4-4-4−4i−4i4i4i0000004-2-224-4-42-20000-22000022i−2i00−4i4i002i2i−2i−2i0000000000000000000000000000000000
χ4644-4-44−4i4i4-4-4−4i−4i4i4i000000-244-4-222-4-20000-2200002−4i4i002i−2i002i2i−2i−2i0000000000000000000000000000000000
χ4744-4-44−4i4i4-4-4−4i−4i4i4i000000-2-2-22-2222100001-133-3-3-12i−2i002i−2i00−i−iii−3i−3i3i3i000000000000000000000000000000
χ4844-4-44−4i4i4-4-4−4i−4i4i4i000000-2-2-22-2222100001-1-3-333-12i−2i002i−2i00−i−iii3i3i−3i−3i000000000000000000000000000000
χ494-44-4400-4-44000000000044-44-4-44-440000-4-4000040000000000000000000000000000000000000000000000
χ504-44-4400-4-4400000000004-22-2-4-442-20000220000-200−2i32i300000000−2i32i3−2i32i3000000000000000000000000000000
χ514-44-4400-4-4400000000004-22-2-4-442-20000220000-2002i3−2i3000000002i3−2i32i3−2i3000000000000000000000000000000
χ524-44-4400-4-440000000000-24-4422-2-4-2−2i32i30022−2i32i3−2i32i3-20000000000000000000000000000000000000000000000
χ534-44-4400-4-440000000000-24-4422-2-4-22i3−2i300222i3−2i32i3−2i3-20000000000000000000000000000000000000000000000
χ544-44-4400-4-440000000000-2-22-222-221−2i32i300-1-1i3−i3i3−i3100−2i32i300003-33-3i3−i3i3−i3000000000000000000000000000000
χ554-44-4400-4-440000000000-2-22-222-221−2i32i300-1-1i3−i3i3−i31002i3−2i30000-33-33−i3i3−i3i3000000000000000000000000000000
χ564-44-4400-4-440000000000-2-22-222-2212i3−2i300-1-1−i3i3−i3i3100−2i32i30000-33-33i3−i3i3−i3000000000000000000000000000000
χ574-44-4400-4-440000000000-2-22-222-2212i3−2i300-1-1−i3i3−i3i31002i3−2i300003-33-3−i3i3−i3i3000000000000000000000000000000
χ584-4-44400-44-4000000000044-4-4-44-4440000-440000-40000000000000000000000000000000000000000000000
χ594-4-44400-44-400000000004-222-44-4-2-200−2i32i32-2−2i32i32i3−2i320000000000000000000000000000000000000000000000
χ604-4-44400-44-400000000004-222-44-4-2-2002i3−2i32-22i3−2i3−2i32i320000000000000000000000000000000000000000000000
χ614-4-44400-44-40000000000-24-4-42-224-200002-20000200000023−23000023−23−2323000000000000000000000000000000
χ624-4-44400-44-40000000000-24-4-42-224-200002-200002000000−23230000−232323−23000000000000000000000000000000
χ634-4-44400-44-40000000000-2-2222-22-2100−2i32i3-11i3−i3−i3i3-100000023−233i−3i−3i3i−333−3000000000000000000000000000000
χ644-4-44400-44-40000000000-2-2222-22-2100−2i32i3-11i3−i3−i3i3-1000000−2323−3i3i3i−3i3−3−33000000000000000000000000000000
χ654-4-44400-44-40000000000-2-2222-22-21002i3−2i3-11−i3i3i3−i3-100000023−23−3i3i3i−3i−333−3000000000000000000000000000000
χ664-4-44400-44-40000000000-2-2222-22-21002i3−2i3-11−i3i3i3−i3-1000000−23233i−3i−3i3i3−3−33000000000000000000000000000000
χ676666-366-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000022220002002000-1-1-1-1-1-1-1-100000000
χ686666-366-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000-2-2-2-2000-200-20001111111100000000
χ696666-366-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000002222000-200-2000-1-11111-1-100000000
χ706666-366-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000-2-2-2-2000200200011-1-1-1-11100000000
χ716666-3-6-6-3-3-333336-6-3-33300000000000000000000000000000000000022-2-2000200-2000-1-1-1-1111100000000
χ726666-3-6-6-3-3-333336-6-3-333000000000000000000000000000000000000-2-222000-20020001111-1-1-1-100000000
χ736666-3-6-6-3-3-33333-6633-3-300000000000000000000000000000000000022-2-2000-2002000-1-111-1-11100000000
χ746666-3-6-6-3-3-33333-6633-3-3000000000000000000000000000000000000-2-222000200-200011-1-111-1-100000000
χ7566-6-6-36i−6i-333−3i−3i3i3i00−3i33i333−330000000000000000000000000000000000002-22i−2i0000000000-11−i3i33−3−ii00000000
χ7666-6-6-36i−6i-333−3i−3i3i3i00−3i33i333−33000000000000000000000000000000000000-22−2i2i00000000001-1i3−i3−33i−i00000000
χ7766-6-6-36i−6i-333−3i−3i3i3i003i3−3i3−33330000000000000000000000000000000000002-22i−2i0000000000-11i3−i3−33−ii00000000
χ7866-6-6-36i−6i-333−3i−3i3i3i003i3−3i3−3333000000000000000000000000000000000000-22−2i2i00000000001-1−i3i33−3i−i00000000
χ7966-6-6-3−6i6i-3333i3i−3i−3i00−3i33i3−33330000000000000000000000000000000000002-2−2i2i0000000000-11−i3i3−33i−i00000000
χ8066-6-6-3−6i6i-3333i3i−3i−3i00−3i33i3−3333000000000000000000000000000000000000-222i−2i00000000001-1i3−i33−3−ii00000000
χ8166-6-6-3−6i6i-3333i3i−3i−3i003i3−3i333−330000000000000000000000000000000000002-2−2i2i0000000000-11i3−i33−3i−i00000000
χ8266-6-6-3−6i6i-3333i3i−3i−3i003i3−3i333−33000000000000000000000000000000000000-222i−2i00000000001-1−i3i3−33−ii00000000
χ8312-1212-12-60066-6−6i36i3−6i36i3000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-60066-66i3−6i36i3−6i3000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-6006-6663−63−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-6006-66−636363−63000000000000000000000000000000000000000000000000000000000000000000000000

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