Finite Group Databasebeta

← Group #13150730

Character table — Group #13150730

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122234444666121212122661212336666661212121236666666666612121212121212121212121212124444444422244444661212121212121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1111111-1-1-11-1-11-11-1-1-11111-1-1-1-111-1-1111-11-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-11111-1-111-1-11-1-11-11-1-1-1-1-1-1111111-1-111-11-11
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-11-1111-1-11111111-1-1-1-1-1-111-1-1-11-11
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-11-1-1-1-111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-111-111-1-1-1-11111-1-111-1-11-11-1
χ911111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1111111-1-111111-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111
χ1011111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-1-111-1-111-1-111-1-1-1-11111-1-1
χ1111111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1111111-1111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ1211111-1-111111-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111111-1-1-1-111-1-1111111-1-1-1-111
χ1311111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-111-1-1-111-1-1-1-111-1-11111-111-1
χ1411111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-111-1-11-1-1-1-11111-1-1-1-111111-1-11
χ1511111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11-111111-1-1-1-11111-1-1-1-11-1-11
χ1611111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-11-11-111-1-11111-1-111-1-1-1-1-111-1
χ172222222222222222222222-1-1-1222-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000022000220000000000000000-1-1-1-1
χ182222222222222222222222-1-1-1222-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000-2-2000-2-200000000000000001111
χ19222222222222222222222-1222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222000020020000-1-100000000-1-1-1-1-1-10000
χ20222222222222222222222-1222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-200-2000011000000001111110000
χ212222222-2-22222222-2-2-2-2-22-1-1-1222-1-2-2-2-2-1-2-211-1-11111-1-1-11122-1-1-1-111110000000002-20002-20000000000000000-11-11
χ222222222-2-22222222-2-2-2-2-22-1-1-1222-1-2-2-2-2-1-2-211-1-11111-1-1-11122-1-1-1-11111000000000-22000-2200000000000000001-11-1
χ232222222-2-22222222-2-2-2-2-2-1222-1-1-121111-111-2-2-1-11111-122-2-2-1-1-1-1-1-1111122220000-200-200001100000000-1-111-1-10000
χ242222222-2-22222222-2-2-2-2-2-1222-1-1-121111-111-2-2-1-11111-122-2-2-1-1-1-1-1-11111-2-2-2-2000020020000-1-10000000011-1-1110000
χ2522222-2-222222-2-2-2-2-2-2-2222-1-1-1222-12222-1-2-211-1-11111-111-1-1-2-21111-1-1-1-100000000022000-2-20000000000000000-1-111
χ2622222-2-222222-2-2-2-2-2-2-2222-1-1-1222-12222-1-2-211-1-11111-111-1-1-2-21111-1-1-1-1000000000-2-200022000000000000000011-1-1
χ2722222-2-222222-2-2-2-2-2-2-222-1222-1-1-12-1-1-1-1-111-2-2-1-11111-1-2-222111111-1-1-1-122-2-20000200-20000-1-1000000001111-1-10000
χ2822222-2-222222-2-2-2-2-2-2-222-1222-1-1-12-1-1-1-1-111-2-2-1-11111-1-2-222111111-1-1-1-1-2-2220000-200200001100000000-1-1-1-1110000
χ2922222-2-2-2-2222-2-2-2-2222-2-22-1-1-1222-1-2-2-2-2-122-1-1-1-1-1-1-1-1-11111-2-2111111110000000002-2000-220000000000000000-111-1
χ3022222-2-2-2-2222-2-2-2-2222-2-22-1-1-1222-1-2-2-2-2-122-1-1-1-1-1-1-1-1-11111-2-211111111000000000-220002-200000000000000001-1-11
χ3122222-2-2-2-2222-2-2-2-2222-2-2-1222-1-1-121111-1-1-122-1-1-1-1-1-1-1-2-2-2-2111111111122-2-20000-20020000110000000011-1-1-1-10000
χ3222222-2-2-2-2222-2-2-2-2222-2-2-1222-1-1-121111-1-1-122-1-1-1-1-1-1-1-2-2-2-21111111111-2-2220000200-20000-1-100000000-1-111110000
χ3322-2-22002-22-2-200000002-222-22-2-22-222-2-220000-2-200002002-200000022-2-200002i−2i2i−2i00000000002i−2i002i−2i000000000000
χ3422-2-22002-22-2-200000002-222-22-2-22-222-2-220000-2-200002002-200000022-2-20000−2i2i−2i2i0000000000−2i2i00−2i2i000000000000
χ3522-2-2200-222-2-20000000-2222-22-2-22-2-2-22220000-2-20000200-22000000-2-22200002i−2i−2i2i00000000002i−2i00−2i2i000000000000
χ3622-2-2200-222-2-20000000-2222-22-2-22-2-2-22220000-2-20000200-22000000-2-2220000−2i2i2i−2i0000000000−2i2i002i−2i000000000000
χ372-22-222i−2i00-22-22i2i−2i−2i00000222-22-2-2-20000200002-20000-22i−2i002i−2i2i2i−2i−2i00002i−2i2-200000000000000000000002-2002i−2i0000
χ382-22-222i−2i00-22-22i2i−2i−2i00000222-22-2-2-20000200002-20000-22i−2i002i−2i2i2i−2i−2i0000−2i2i-220000000000000000000000-2200−2i2i0000
χ392-22-222i−2i00-22-22i2i−2i−2i00000-122-2-111-23−33−3-1−i3i300-11−i3−i3i3i312i−2i00−ii−i−iii3−33−32i−2i2-2000000000000−i3i300000000-113−3−ii0000
χ402-22-222i−2i00-22-22i2i−2i−2i00000-122-2-111-23−33−3-1−i3i300-11−i3−i3i3i312i−2i00−ii−i−iii3−33−3−2i2i-22000000000000i3−i3000000001-1−33i−i0000
χ412-22-222i−2i00-22-22i2i−2i−2i00000-122-2-111-2−33−33-1i3−i300-11i3i3−i3−i312i−2i00−ii−i−iii−33−332i−2i2-2000000000000i3−i300000000-11−33−ii0000
χ422-22-222i−2i00-22-22i2i−2i−2i00000-122-2-111-2−33−33-1i3−i300-11i3i3−i3−i312i−2i00−ii−i−iii−33−33−2i2i-22000000000000−i3i3000000001-13−3i−i0000
χ432-22-22−2i2i00-22-2−2i−2i2i2i00000222-22-2-2-20000200002-20000-2−2i2i00−2i2i−2i−2i2i2i00002i−2i-220000000000000000000000-22002i−2i0000
χ442-22-22−2i2i00-22-2−2i−2i2i2i00000222-22-2-2-20000200002-20000-2−2i2i00−2i2i−2i−2i2i2i0000−2i2i2-200000000000000000000002-200−2i2i0000
χ452-22-22−2i2i00-22-2−2i−2i2i2i00000-122-2-111-23−33−3-1i3−i300-11i3i3−i3−i31−2i2i00i−iii−i−i3−33−32i−2i-22000000000000−i3i3000000001-1−33−ii0000
χ462-22-22−2i2i00-22-2−2i−2i2i2i00000-122-2-111-23−33−3-1i3−i300-11i3i3−i3−i31−2i2i00i−iii−i−i3−33−3−2i2i2-2000000000000i3−i300000000-113−3i−i0000
χ472-22-22−2i2i00-22-2−2i−2i2i2i00000-122-2-111-2−33−33-1−i3i300-11−i3−i3i3i31−2i2i00i−iii−i−i−33−332i−2i-22000000000000i3−i3000000001-13−3−ii0000
χ482-22-22−2i2i00-22-2−2i−2i2i2i00000-122-2-111-2−33−33-1−i3i300-11−i3−i3i3i31−2i2i00i−iii−i−i−33−33−2i2i2-2000000000000−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
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221222211-1-1-1-11-2-222-2-21111-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-4-4-444-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-1122-2-222-1-1-1-11111000000000000000000000000000000000000
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
χ5344-4-44004-44-4-400000004-44-22-2-4-44244-4-4-20000220000-200-22000000-2-222000000000000000000000000000000000000
χ5444-4-44004-44-4-400000004-4-24-4422-2-4-2-222-20000220000-2004-4000000-2-222000000000000000000000000000000000000
χ5544-4-44004-44-4-400000004-4-2-22-222-22-2-22210000-1-13-33-3100-22003-33-311-1-1000000000000000000000000000000000000
χ5644-4-44004-44-4-400000004-4-2-22-222-22-2-22210000-1-1-33-33100-2200-33-3311-1-1000000000000000000000000000000000000
χ5744-4-4400-444-4-40000000-444-22-2-4-442-4-444-20000220000-2002-200000022-2-2000000000000000000000000000000000000
χ5844-4-4400-444-4-40000000-44-24-4422-2-422-2-2-20000220000-200-4400000022-2-2000000000000000000000000000000000000
χ5944-4-4400-444-4-40000000-44-2-22-222-2222-2-210000-1-13-33-31002-200-33-33-1-111000000000000000000000000000000000000
χ6044-4-4400-444-4-40000000-44-2-22-222-2222-2-210000-1-1-33-331002-2003-33-3-1-111000000000000000000000000000000000000
χ614-44-444i−4i00-44-44i4i−4i−4i000004-2-224-4-420000-20000-2200002−2i2i004i−4i−2i−2i2i2i0000000000000000000000000000000000000000
χ624-44-444i−4i00-44-44i4i−4i−4i00000-2-2-22-222223−2323−231−2i32i3001-1i3i3−i3−i3-1−2i2i00−2i2iii−i−i−33−33000000000000000000000000000000000000
χ634-44-444i−4i00-44-44i4i−4i−4i00000-2-2-22-2222−2323−232312i3−2i3001-1−i3−i3i3i3-1−2i2i00−2i2iii−i−i3−33−3000000000000000000000000000000000000
χ644-44-44−4i4i00-44-4−4i−4i4i4i000004-2-224-4-420000-20000-22000022i−2i00−4i4i2i2i−2i−2i0000000000000000000000000000000000000000
χ654-44-44−4i4i00-44-4−4i−4i4i4i00000-2-2-22-222223−2323−2312i3−2i3001-1−i3−i3i3i3-12i−2i002i−2i−i−iii−33−33000000000000000000000000000000000000
χ664-44-44−4i4i00-44-4−4i−4i4i4i00000-2-2-22-2222−2323−23231−2i32i3001-1i3i3−i3−i3-12i−2i002i−2i−i−iii3−33−3000000000000000000000000000000000000
χ674-4-4440000-4-4400000000044-4-4-44-44000040000-440000-400000000000000000000000000000000000000000000000000
χ684-4-4440000-4-440000000004-222-44-4-20000-200−2i32i32-2−2i32i32i3−2i3200000000000000000000000000000000000000000000000000
χ694-4-4440000-4-440000000004-222-44-4-20000-2002i3−2i32-22i3−2i3−2i32i3200000000000000000000000000000000000000000000000000
χ704-4-4440000-4-44000000000-24-4-42-22423−23−2323-200002-200002000000000023−23−2323000000000000000000000000000000000000
χ714-4-4440000-4-44000000000-24-4-42-224−232323−23-200002-2000020000000000−232323−23000000000000000000000000000000000000
χ724-4-4440000-4-44000000000-2-2222-22-223−23−2323100−2i32i3-11i3−i3−i3i3-1000000−3i3i3i−3i−333−3000000000000000000000000000000000000
χ734-4-4440000-4-44000000000-2-2222-22-223−23−23231002i3−2i3-11−i3i3i3−i3-10000003i−3i−3i3i−333−3000000000000000000000000000000000000
χ744-4-4440000-4-44000000000-2-2222-22-2−232323−23100−2i32i3-11i3−i3−i3i3-10000003i−3i−3i3i3−3−33000000000000000000000000000000000000
χ754-4-4440000-4-44000000000-2-2222-22-2−232323−231002i3−2i3-11−i3i3i3−i3-1000000−3i3i3i−3i3−3−33000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000000022220000220000-1-1-1-1-1-1-1-10000000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000000000-2-2-2-20000-2-20000111111110000000000
χ786666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000000022-2-200002-20000-1-1-1-111110000000000
χ796666-366-6-6-3-3-3-3-3-3-3-63333000000000000000000000000000000000000000000-2-2220000-2200001111-1-1-1-10000000000
χ806666-3-6-666-3-3-33333-633-3-300000000000000000000000000000000000000000022220000-2-20000-1-111-1-1110000000000
χ816666-3-6-666-3-3-33333-633-3-3000000000000000000000000000000000000000000-2-2-2-2000022000011-1-111-1-10000000000
χ826666-3-6-6-6-6-3-3-333336-3-33300000000000000000000000000000000000000000022-2-20000-220000-1-11111-1-10000000000
χ836666-3-6-6-6-6-3-3-333336-3-333000000000000000000000000000000000000000000-2-22200002-2000011-1-1-1-1110000000000
χ8466-6-6-3006-6-333−3i33i3−3i33i30−3i33i3-330000000000000000000000000000000000000000002i−2i2i−2i0000000000−ii3−3−ii3−30000000000
χ8566-6-6-3006-6-333−3i33i3−3i33i30−3i33i3-33000000000000000000000000000000000000000000−2i2i−2i2i0000000000i−i−33i−i−330000000000
χ8666-6-6-3006-6-3333i3−3i33i3−3i303i3−3i3-330000000000000000000000000000000000000000002i−2i2i−2i0000000000−ii−33−ii−330000000000
χ8766-6-6-3006-6-3333i3−3i33i3−3i303i3−3i3-33000000000000000000000000000000000000000000−2i2i−2i2i0000000000i−i3−3i−i3−30000000000
χ8866-6-6-300-66-333−3i33i3−3i33i303i3−3i33-30000000000000000000000000000000000000000002i−2i−2i2i0000000000−ii3−3i−i−330000000000
χ8966-6-6-300-66-333−3i33i3−3i33i303i3−3i33-3000000000000000000000000000000000000000000−2i2i2i−2i0000000000i−i−33−ii3−30000000000
χ9066-6-6-300-66-3333i3−3i33i3−3i30−3i33i33-30000000000000000000000000000000000000000002i−2i−2i2i0000000000−ii−33i−i3−30000000000
χ9166-6-6-300-66-3333i3−3i33i3−3i30−3i33i33-3000000000000000000000000000000000000000000−2i2i2i−2i0000000000i−i3−3−ii−330000000000
χ9212-1212-12-612i−12i006-66−6i−6i6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-12-6−12i12i006-666i6i−6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-1212-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000

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