Finite Group Databasebeta

← Group #13150663

Character table — Group #13150663

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12223444466612121212266121233666666121212123666666666661212121212121212121212121212444444442444444466121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-111-1-11111-1-11-11-11-1-1-11111-1-1-1-111-1-1111-11-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-1-111-111-1-11111111-1-1-1-1-1-111-1-1-11-11
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1111111-1-1-11-11-11-1-1-1-1-1-1111111-1-111-11-11
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-111-111-1-1-1-11111-1-111-1-11-11-1
χ911111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-11111111111-1-11-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1
χ1011111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-111111111-1-111-1111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111
χ1111111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ1211111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-1111111-1-111-1-1
χ1311111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-11-111-1-1-111-1-1-1-111-1-111111-1-11
χ1411111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-11-111111-1-1-1-11111-1-1-1-1-111-1
χ1511111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-11-1-11-1-1-1-11111-1-1-1-11111-111-1
χ1611111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-11-111-1-11111-1-111-1-1-1-11-1-11
χ172222222222222222222222-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222222000000-1-100000000-1-1-1-1-1-10000
χ182222222222222222222222-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-200000011000000001111110000
χ19222222222222222222222-12-1222-1-12222-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000002200220000000000000000-1-1-1-1
χ20222222222222222222222-12-1222-1-12222-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200-2-200000000000000001111
χ212222222-2-22222222-2-2-2-2-22-12-1-1-1221111-1-2-211-1-11111-1-1-122-2-2-1-1-1-1111100002222-2-20000001100000000-1-111-1-10000
χ222222222-2-22222222-2-2-2-2-22-12-1-1-1221111-1-2-211-1-11111-1-1-122-2-2-1-1-1-111110000-2-2-2-222000000-1-10000000011-1-1110000
χ232222222-2-22222222-2-2-2-2-2-12-1222-1-1-2-2-2-2-111-2-2-1-11111-122-1-111-1-1-1-1111100000000002-2002-20000000000000000-11-11
χ242222222-2-22222222-2-2-2-2-2-12-1222-1-1-2-2-2-2-111-2-2-1-11111-122-1-111-1-1-1-111110000000000-2200-2200000000000000001-11-1
χ2522222-2-222222-2-2-2-2-2-2-2222-12-1-1-122-1-1-1-1-1-2-211-1-11111-111-2-2221111-1-1-1-1000022-2-22-2000000-1-1000000001111-1-10000
χ2622222-2-222222-2-2-2-2-2-2-2222-12-1-1-122-1-1-1-1-1-2-211-1-11111-111-2-2221111-1-1-1-10000-2-222-220000001100000000-1-1-1-1110000
χ2722222-2-222222-2-2-2-2-2-2-222-12-1222-1-12222-111-2-2-1-11111-1-2-211-1-11111-1-1-1-100000000002200-2-2000000000000000011-1-1
χ2822222-2-222222-2-2-2-2-2-2-222-12-1222-1-12222-111-2-2-1-11111-1-2-211-1-11111-1-1-1-10000000000-2-200220000000000000000-1-111
χ2922222-2-2-2-2222-2-2-2-2222-2-22-12-1-1-1221111-122-1-1-1-1-1-1-1-1-111-2-2-2-211111111000022-2-2-22000000110000000011-1-1-1-10000
χ3022222-2-2-2-2222-2-2-2-2222-2-22-12-1-1-1221111-122-1-1-1-1-1-1-1-1-111-2-2-2-2111111110000-2-2222-2000000-1-100000000-1-111110000
χ3122222-2-2-2-2222-2-2-2-2222-2-2-12-1222-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-2-211111111111100000000002-200-2200000000000000001-1-11
χ3222222-2-2-2-2222-2-2-2-2222-2-2-12-1222-1-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1-2-21111111111110000000000-22002-20000000000000000-111-1
χ332-22-22002-22-2-200000002-222-2-2-22-2222-2-220000-2-20000200002-2000022-2-22i−2i2i−2i000000000000002i−2i002i−2i000000000000
χ342-22-22002-22-2-200000002-222-2-2-22-2222-2-220000-2-20000200002-2000022-2-2−2i2i−2i2i00000000000000−2i2i00−2i2i000000000000
χ352-22-2200-222-2-20000000-2222-2-2-22-22-2-22220000-2-2000020000-220000-2-2222i−2i−2i2i000000000000002i−2i00−2i2i000000000000
χ362-22-2200-222-2-20000000-2222-2-2-22-22-2-22220000-2-2000020000-220000-2-222−2i2i2i−2i00000000000000−2i2i002i−2i000000000000
χ372-2-2222i−2i00-22-22i2i−2i−2i0000022-22-2-22-20000200002-20000-22i−2i2i−2i002i2i−2i−2i000000002i−2i2-20000000000000000002-2002i−2i0000
χ382-2-2222i−2i00-22-22i2i−2i−2i0000022-22-2-22-20000200002-20000-22i−2i2i−2i002i2i−2i−2i00000000−2i2i-22000000000000000000-2200−2i2i0000
χ392-2-2222i−2i00-22-22i2i−2i−2i000002-1-2-1112-23−33−3-100−i3i3-11−i3−i3i3i31−ii2i−2i00−i−iii3−33−300002i−2i2-200000000−i3i300000000-113−3−ii0000
χ402-2-2222i−2i00-22-22i2i−2i−2i000002-1-2-1112-23−33−3-100−i3i3-11−i3−i3i3i31−ii2i−2i00−i−iii3−33−30000−2i2i-2200000000i3−i3000000001-1−33i−i0000
χ412-2-2222i−2i00-22-22i2i−2i−2i000002-1-2-1112-2−33−33-100i3−i3-11i3i3−i3−i31−ii2i−2i00−i−iii−33−3300002i−2i2-200000000i3−i300000000-11−33−ii0000
χ422-2-2222i−2i00-22-22i2i−2i−2i000002-1-2-1112-2−33−33-100i3−i3-11i3i3−i3−i31−ii2i−2i00−i−iii−33−330000−2i2i-2200000000−i3i3000000001-13−3i−i0000
χ432-2-222−2i2i00-22-2−2i−2i2i2i0000022-22-2-22-20000200002-20000-2−2i2i−2i2i00−2i−2i2i2i000000002i−2i-22000000000000000000-22002i−2i0000
χ442-2-222−2i2i00-22-2−2i−2i2i2i0000022-22-2-22-20000200002-20000-2−2i2i−2i2i00−2i−2i2i2i00000000−2i2i2-20000000000000000002-200−2i2i0000
χ452-2-222−2i2i00-22-2−2i−2i2i2i000002-1-2-1112-23−33−3-100i3−i3-11i3i3−i3−i31i−i−2i2i00ii−i−i3−33−300002i−2i-2200000000−i3i3000000001-1−33−ii0000
χ462-2-222−2i2i00-22-2−2i−2i2i2i000002-1-2-1112-23−33−3-100i3−i3-11i3i3−i3−i31i−i−2i2i00ii−i−i3−33−30000−2i2i2-200000000i3−i300000000-113−3i−i0000
χ472-2-222−2i2i00-22-2−2i−2i2i2i000002-1-2-1112-2−33−33-100−i3i3-11−i3−i3i3i31i−i−2i2i00ii−i−i−33−3300002i−2i-2200000000i3−i3000000001-13−3−ii0000
χ482-2-222−2i2i00-22-2−2i−2i2i2i000002-1-2-1112-2−33−33-100−i3i3-11−i3−i3i3i31i−i−2i2i00ii−i−i−33−330000−2i2i2-200000000−i3i300000000-11−33i−i0000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-211111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221222211-1-1-1-11-2-2-2-2221111-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-4-4-444-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-112222-2-2-1-1-1-11111000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-4444-4-4-2-2-2-2-2-2-2-222221-2-2-2-21111111222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5344-4-440000-4-44000000000444-44-4-4-4000040000-440000-400000000000000000000000000000000000000000000000000
χ5444-4-440000-4-440000000004-242-22-4-423−23−2323-200002-200002000000000023−23−2323000000000000000000000000000000000000
χ5544-4-440000-4-440000000004-242-22-4-4−232323−23-200002-2000020000000000−232323−23000000000000000000000000000000000000
χ5644-4-440000-4-44000000000-24-2-44-4220000-2−2i32i3002-2−2i32i3−2i32i3200000000000000000000000000000000000000000000000000
χ5744-4-440000-4-44000000000-24-2-44-4220000-22i3−2i3002-22i3−2i32i3−2i3200000000000000000000000000000000000000000000000000
χ5844-4-440000-4-44000000000-2-2-22-222223−23−23231−2i32i300-11i3−i3i3−i3-10000003i−3i3i−3i−333−3000000000000000000000000000000000000
χ5944-4-440000-4-44000000000-2-2-22-222223−23−232312i3−2i300-11−i3i3−i3i3-1000000−3i3i−3i3i−333−3000000000000000000000000000000000000
χ6044-4-440000-4-44000000000-2-2-22-2222−232323−231−2i32i300-11i3−i3i3−i3-1000000−3i3i−3i3i3−3−33000000000000000000000000000000000000
χ6144-4-440000-4-44000000000-2-2-22-2222−232323−2312i3−2i300-11−i3i3−i3i3-10000003i−3i3i−3i3−3−33000000000000000000000000000000000000
χ624-44-44004-44-4-400000004-44-2-422-2-44-2-222-20000220000-200004-40000-2-222000000000000000000000000000000000000
χ634-44-44004-44-4-400000004-4-242-4-442-244-4-4-20000220000-20000-220000-2-222000000000000000000000000000000000000
χ644-44-44004-44-4-400000004-4-2-2222-22-2-2-22210000-1-13-3-3310000-22-333-311-1-1000000000000000000000000000000000000
χ654-44-44004-44-4-400000004-4-2-2222-22-2-2-22210000-1-1-333-310000-223-3-3311-1-1000000000000000000000000000000000000
χ664-44-4400-444-4-40000000-444-2-422-2-4422-2-2-20000220000-20000-44000022-2-2000000000000000000000000000000000000
χ674-44-4400-444-4-40000000-44-242-4-442-2-4-444-20000220000-200002-2000022-2-2000000000000000000000000000000000000
χ684-44-4400-444-4-40000000-44-2-2222-22-222-2-210000-1-13-3-33100002-23-3-33-1-111000000000000000000000000000000000000
χ694-44-4400-444-4-40000000-44-2-2222-22-222-2-210000-1-1-333-3100002-2-333-3-1-111000000000000000000000000000000000000
χ704-4-4444i−4i00-44-44i4i−4i−4i00000-2424-4-4-220000-20000-22000024i−4i−2i2i00−2i−2i2i2i0000000000000000000000000000000000000000
χ714-4-4444i−4i00-44-44i4i−4i−4i00000-2-22-222-2223−2323−23100−2i32i31-1i3i3−i3−i3-1−2i2i−2i2i00ii−i−i−33−33000000000000000000000000000000000000
χ724-4-4444i−4i00-44-44i4i−4i−4i00000-2-22-222-22−2323−23231002i3−2i31-1−i3−i3i3i3-1−2i2i−2i2i00ii−i−i3−33−3000000000000000000000000000000000000
χ734-4-444−4i4i00-44-4−4i−4i4i4i00000-2424-4-4-220000-20000-2200002−4i4i2i−2i002i2i−2i−2i0000000000000000000000000000000000000000
χ744-4-444−4i4i00-44-4−4i−4i4i4i00000-2-22-222-2223−2323−231002i3−2i31-1−i3−i3i3i3-12i−2i2i−2i00−i−iii−33−33000000000000000000000000000000000000
χ754-4-444−4i4i00-44-4−4i−4i4i4i00000-2-22-222-22−2323−2323100−2i32i31-1i3i3−i3−i3-12i−2i2i−2i00−i−iii3−33−3000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000222200000000220000-1-1-1-1-1-1-1-10000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-2-2-200000000-2-20000111111110000000000
χ786666-366-6-6-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-2000000002-20000-1-1-1-111110000000000
χ796666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-22200000000-2200001111-1-1-1-10000000000
χ806666-3-6-666-3-3-33333-633-3-300000000000000000000000000000000000000222200000000-2-20000-1-111-1-1110000000000
χ816666-3-6-666-3-3-33333-633-3-300000000000000000000000000000000000000-2-2-2-20000000022000011-1-111-1-10000000000
χ826666-3-6-6-6-6-3-3-333336-3-3330000000000000000000000000000000000000022-2-200000000-220000-1-11111-1-10000000000
χ836666-3-6-6-6-6-3-3-333336-3-33300000000000000000000000000000000000000-2-222000000002-2000011-1-1-1-1110000000000
χ846-66-6-3006-6-333−3i33i3−3i33i30−3i33i3-33000000000000000000000000000000000000002i−2i2i−2i00000000000000−ii3−3−ii3−30000000000
χ856-66-6-3006-6-333−3i33i3−3i33i30−3i33i3-3300000000000000000000000000000000000000−2i2i−2i2i00000000000000i−i−33i−i−330000000000
χ866-66-6-3006-6-3333i3−3i33i3−3i303i3−3i3-33000000000000000000000000000000000000002i−2i2i−2i00000000000000−ii−33−ii−330000000000
χ876-66-6-3006-6-3333i3−3i33i3−3i303i3−3i3-3300000000000000000000000000000000000000−2i2i−2i2i00000000000000i−i3−3i−i3−30000000000
χ886-66-6-300-66-333−3i33i3−3i33i303i3−3i33-3000000000000000000000000000000000000002i−2i−2i2i00000000000000−ii3−3i−i−330000000000
χ896-66-6-300-66-333−3i33i3−3i33i303i3−3i33-300000000000000000000000000000000000000−2i2i2i−2i00000000000000i−i−33−ii3−30000000000
χ906-66-6-300-66-3333i3−3i33i3−3i30−3i33i33-3000000000000000000000000000000000000002i−2i−2i2i00000000000000−ii−33i−i3−30000000000
χ916-66-6-300-66-3333i3−3i33i3−3i30−3i33i33-300000000000000000000000000000000000000−2i2i2i−2i00000000000000i−i3−3−ii−330000000000
χ921212-12-12-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-612i−12i006-66−6i−6i6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-6−12i12i006-666i6i−6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000

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