Finite Group Databasebeta

← Group #13150639

Character table — Group #13150639

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222244446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636
order1222223444466612121212661212336666666666121212123666666666121212121212121212121212121222444444444466661212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111-1-1-1-1111-1-1-1-111-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ61111111-1-1-1-1111-1-1-1-111-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ71111111-1-1-1-1111-1-1-1-111-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111
χ81111111-1-1-1-1111-1-1-1-111-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1
χ91111-1-1111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-111111-1-11111-1-1-1-1111-11-1-1-11-11-1111111-1-111-1-1-1-1-1-111-1-111-1-1
χ101111-1-1111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-111111-1-11111-1-1-1-111-11-11-1-1-11-111111-1-111-1-111-1-1-1-1-1-111-1-111
χ111111-1-1111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-111111-1-11111-1-1-1-1-1-11-11-111-11-11-1-1-1-111-1-111-1-11111-1-111-1-111
χ121111-1-1111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-11-11111-11-1-1-1-1-1-1-111-1-111111111-1-111-1-1
χ131111-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-111-1-1-1-111111-11-1-11-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-111
χ141111-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-111-1-1-1-111111-1-111-1-11-111-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ151111-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-111-1-1-1-11111-111-1-111-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ161111-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-111-1-1-1-11111-11-111-11-11-1-11-1-111-1-11111-1-111-1-111-1-1-1-111
χ1722222222222222222222222-1222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000220000-1-1-1-100000000-1-1-1-100000000
χ1822222222222222222222222-1222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2-20000111100000000111100000000
χ192222222222222222222222-12-1-1-1-1-1-1222-12222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1-1-1-1-1-1222-12222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000011111111
χ212222222-2-2-2-2222-2-2-2-222-2-22-1222222-1-1-121111-1-1-1-1-1-1-1-1-1-111-2-2-2-2111111112-200002-20000-1-11100000000-1-11100000000
χ222222222-2-2-2-2222-2-2-2-222-2-22-1222222-1-1-121111-1-1-1-1-1-1-1-1-1-111-2-2-2-211111111-220000-22000011-1-10000000011-1-100000000
χ232222222-2-2-2-2222-2-2-2-222-2-2-12-1-1-1-1-1-1222-1-2-2-2-2-122-1-1-1-1-1-1-1-2-21111111111110000000022-2-20000000000000000-1-1-1-11111
χ242222222-2-2-2-2222-2-2-2-222-2-2-12-1-1-1-1-1-1222-1-2-2-2-2-122-1-1-1-1-1-1-1-2-211111111111100000000-2-22200000000000000001111-1-1-1-1
χ252222-2-2222-2-22222222-2-2-2-22-122-2-2-2-2-1-1-121111-111-1-11111-1-1-122-2-2-1-1-1-11111220000-2-20000-1-1-1-100000000111100000000
χ262222-2-2222-2-22222222-2-2-2-22-122-2-2-2-2-1-1-121111-111-1-11111-1-1-122-2-2-1-1-1-11111-2-20000220000111100000000-1-1-1-100000000
χ272222-2-2222-2-22222222-2-2-2-2-12-1-11111222-1-2-2-2-2-1-2-2-1-11111-122-1-111-1-1-1-11111000000002-22-20000000000000000-1-111-1-111
χ282222-2-2222-2-22222222-2-2-2-2-12-1-11111222-1-2-2-2-2-1-2-2-1-11111-122-1-111-1-1-1-1111100000000-22-22000000000000000011-1-111-1-1
χ292222-2-22-2-222222-2-2-2-2-2-2222-122-2-2-2-2-1-1-12-1-1-1-1-111-1-11111-111-2-2221111-1-1-1-12-20000-220000-1-1110000000011-1-100000000
χ302222-2-22-2-222222-2-2-2-2-2-2222-122-2-2-2-2-1-1-12-1-1-1-1-111-1-11111-111-2-2221111-1-1-1-1-2200002-2000011-1-100000000-1-11100000000
χ312222-2-22-2-222222-2-2-2-2-2-222-12-1-11111222-12222-1-2-2-1-11111-1-2-211-1-11111-1-1-1-1000000002-2-220000000000000000-1-11111-1-1
χ322222-2-22-2-222222-2-2-2-2-2-222-12-1-11111222-12222-1-2-2-1-11111-1-2-211-1-11111-1-1-1-100000000-222-2000000000000000011-1-1-1-111
χ332-2-222-222-22-22-2-222-2-22-22-222-2-222-2-2-2-22222-2-222-2-2-222-2-222-22-22-222-2-222-2-2000000000000000000000000000000000000
χ342-2-222-222-22-22-2-222-2-22-22-22-1-2-222-2-211-12-1-111-1-1111-1-111-1-112-22-2-1-111-1-111000000000000−i3i3−i3i300000000−i3i3−i3i300000000
χ352-2-222-222-22-22-2-222-2-22-22-22-1-2-222-2-211-12-1-111-1-1111-1-111-1-112-22-2-1-111-1-111000000000000i3−i3i3−i300000000i3−i3i3−i300000000
χ362-2-222-222-22-22-2-222-2-22-22-2-1211-1-111-2-22-122-2-2-12-211-1-111-12-2-11-11-1-111-1-1110000000000000000000000000000−i3i3−i3i3−i3i3−i3i3
χ372-2-222-222-22-22-2-222-2-22-22-2-1211-1-111-2-22-122-2-2-12-211-1-111-12-2-11-11-1-111-1-1110000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
χ382-2-222-22-22-222-2-2-2-2222-2-2222-2-222-2-2-2-222-2-22222-2-2-222-2-22-22-22-22-2-222-2-222000000000000000000000000000000000000
χ392-2-222-22-22-222-2-2-2-2222-2-222-1-2-222-2-211-1211-1-1-1-1111-1-111-11-1-22-2211-1-111-1-1000000000000−i3i3i3−i300000000−i3i3i3−i300000000
χ402-2-222-22-22-222-2-2-2-2222-2-222-1-2-222-2-211-1211-1-1-1-1111-1-111-11-1-22-2211-1-111-1-1000000000000i3−i3−i3i300000000i3−i3−i3i300000000
χ412-2-222-22-22-222-2-2-2-2222-2-22-1211-1-111-2-22-1-2-222-12-211-1-111-1-221-11-111-1-111-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i3
χ422-2-222-22-22-222-2-2-2-2222-2-22-1211-1-111-2-22-1-2-222-12-211-1-111-1-221-11-111-1-111-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i3
χ432-2-22-2222-2-222-2-222-2-2-22-2222-2-2-2-222-2-222-2-2222-22-2-2-2-22222-22-2-2222-2-2-2-222000000000000000000000000000000000000
χ442-2-22-2222-2-222-2-222-2-2-22-222-1-2-2-2-22211-1211-1-1-11-11111-1-1-1-112-2-22-1-11111-1-1000000000000−i3i3−i3i300000000i3−i3i3−i300000000
χ452-2-22-2222-2-222-2-222-2-2-22-222-1-2-2-2-22211-1211-1-1-11-11111-1-1-1-112-2-22-1-11111-1-1000000000000i3−i3i3−i300000000−i3i3−i3i300000000
χ462-2-22-2222-2-222-2-222-2-2-22-22-121111-1-1-2-22-1-2-222-1-221111-1-1-12-2-111-1-1-11111-1-10000000000000000000000000000−i3i3i3−i3−i3i3i3−i3
χ472-2-22-2222-2-222-2-222-2-2-22-22-121111-1-1-2-22-1-2-222-1-221111-1-1-12-2-111-1-1-11111-1-10000000000000000000000000000i3−i3−i3i3i3−i3−i3i3
χ482-2-22-222-222-22-2-2-2-222-222-222-2-2-2-222-2-22222-2-22-22-2-2-2-2222-22-222-2-2-22222-2-2000000000000000000000000000000000000
χ492-2-22-222-222-22-2-2-2-222-222-22-1-2-2-2-22211-12-1-111-11-11111-1-1-11-1-222-211-1-1-1-111000000000000−i3i3i3−i300000000i3−i3−i3i300000000
χ502-2-22-222-222-22-2-2-2-222-222-22-1-2-2-2-22211-12-1-111-11-11111-1-1-11-1-222-211-1-1-1-111000000000000i3−i3−i3i300000000−i3i3i3−i300000000
χ512-2-22-222-222-22-2-2-2-222-222-2-121111-1-1-2-22-122-2-2-1-221111-1-1-1-221-1-1111-1-1-1-1110000000000000000000000000000−i3i3i3−i3i3−i3−i3i3
χ522-2-22-222-222-22-2-2-2-222-222-2-121111-1-1-2-22-122-2-2-1-221111-1-1-1-221-1-1111-1-1-1-1110000000000000000000000000000i3−i3−i3i3−i3i3i3−i3
χ534444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-211111111000000000000000000000000000000000000
χ544444444-4-4-4-4444-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-222221-2-21111111222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ554444-4-4444-4-44444444-4-4-4-4-2-2-2-22222-2-2-2-2222212211-1-1-1-11-2-2-2-2221111-1-1-1-1000000000000000000000000000000000000
χ564444-4-44-4-444444-4-4-4-4-4-444-2-2-2-22222-2-2-2-2-2-2-2-212211-1-1-1-112222-2-2-1-1-1-11111000000000000000000000000000000000000
χ5744-4-40040000-44-400000000444-400004-4-4-400004004-40000-400000000000000000000000000000000000000000000000000
χ5844-4-40040000-44-4000000004-24-40000-222-423−2323−23-200-2200002000000000023−2323−23000000000000000000000000000000000000
χ5944-4-40040000-44-4000000004-24-40000-222-4−2323−2323-200-22000020000000000−2323−2323000000000000000000000000000000000000
χ6044-4-40040000-44-400000000-24-22−2i32i3−2i32i34-4-420000-200-22−2i32i3−2i32i3200000000000000000000000000000000000000000000000000
χ6144-4-40040000-44-400000000-24-222i3−2i32i3−2i34-4-420000-200-222i3−2i32i3−2i3200000000000000000000000000000000000000000000000000
χ6244-4-40040000-44-400000000-2-2-22−2i32i3−2i32i3-222223−2323−231001-1i3−i3i3−i3-10000003i−3i3i−3i−33−33000000000000000000000000000000000000
χ6344-4-40040000-44-400000000-2-2-22−2i32i3−2i32i3-2222−2323−23231001-1i3−i3i3−i3-1000000−3i3i−3i3i3−33−3000000000000000000000000000000000000
χ6444-4-40040000-44-400000000-2-2-222i3−2i32i3−2i3-222223−2323−231001-1−i3i3−i3i3-1000000−3i3i−3i3i−33−33000000000000000000000000000000000000
χ6544-4-40040000-44-400000000-2-2-222i3−2i32i3−2i3-2222−2323−23231001-1−i3i3−i3i3-10000003i−3i3i−3i3−33−3000000000000000000000000000000000000
χ664-44-40040000-4-440000000044-440000-44-4-40000400-440000-400000000000000000000000000000000000000000000000000
χ674-44-40040000-4-44000000004-2-4400002-22-423−23−2323-2002-200002000000000023−23−2323000000000000000000000000000000000000
χ684-44-40040000-4-44000000004-2-4400002-22-4−232323−23-2002-2000020000000000−232323−23000000000000000000000000000000000000
χ694-44-40040000-4-4400000000-242-2−2i32i32i3−2i3-44-420000-2002-2−2i32i32i3−2i3200000000000000000000000000000000000000000000000000
χ704-44-40040000-4-4400000000-242-22i3−2i3−2i32i3-44-420000-2002-22i3−2i3−2i32i3200000000000000000000000000000000000000000000000000
χ714-44-40040000-4-4400000000-2-22-2−2i32i32i3−2i32-22223−23−2323100-11i3−i3−i3i3-10000003i−3i−3i3i−333−3000000000000000000000000000000000000
χ724-44-40040000-4-4400000000-2-22-2−2i32i32i3−2i32-222−232323−23100-11i3−i3−i3i3-1000000−3i3i3i−3i3−3−33000000000000000000000000000000000000
χ734-44-40040000-4-4400000000-2-22-22i3−2i3−2i32i32-22223−23−2323100-11−i3i3i3−i3-1000000−3i3i3i−3i−333−3000000000000000000000000000000000000
χ744-44-40040000-4-4400000000-2-22-22i3−2i3−2i32i32-222−232323−23100-11−i3i3i3−i3-10000003i−3i−3i3i3−3−33000000000000000000000000000000000000
χ754-4-444-444-44-44-4-444-4-44-44-4-2-222-2-22222-2-2-2-2221-22-1-111-1-11-22-22-2211-1-111-1-1000000000000000000000000000000000000
χ764-4-444-44-44-444-4-4-4-4444-4-44-2-222-2-22222-2-222-2-21-22-1-111-1-112-22-22-2-1-111-1-111000000000000000000000000000000000000
χ774-4-44-4444-4-444-4-444-4-4-44-44-2-22222-2-222-2-222-2-212-2-1-1-1-1111-22-222-211-1-1-1-111000000000000000000000000000000000000
χ784-4-44-444-444-44-4-4-4-444-444-4-2-22222-2-222-2-2-2-22212-2-1-1-1-11112-22-2-22-1-11111-1-1000000000000000000000000000000000000
χ79666666-36666-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000022220000000000-1-1-1-1-1-1-1-1000000000000
χ80666666-36666-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000-2-2-2-2000000000011111111000000000000
χ81666666-3-6-6-6-6-3-3-33333-3-33300000000000000000000000000000000000000000022-2-20000000000-1-1-1-11111000000000000
χ82666666-3-6-6-6-6-3-3-33333-3-333000000000000000000000000000000000000000000-2-22200000000001111-1-1-1-1000000000000
χ836666-6-6-366-6-6-3-3-3-3-3-3-333330000000000000000000000000000000000000000002-22-20000000000-1-111-1-111000000000000
χ846666-6-6-366-6-6-3-3-3-3-3-3-33333000000000000000000000000000000000000000000-22-22000000000011-1-111-1-1000000000000
χ856666-6-6-3-6-666-3-3-3333333-3-30000000000000000000000000000000000000000002-2-220000000000-1-11111-1-1000000000000
χ866666-6-6-3-6-666-3-3-3333333-3-3000000000000000000000000000000000000000000-222-2000000000011-1-1-1-111000000000000
χ876-6-666-6-36-66-6-333-3-333-33-33000000000000000000000000000000000000000000000000000000003−33−33−33−3000000000000
χ886-6-666-6-36-66-6-333-3-333-33-3300000000000000000000000000000000000000000000000000000000−33−33−33−33000000000000
χ896-6-666-6-3-66-66-33333-3-3-333-3000000000000000000000000000000000000000000000000000000003−33−3−33−33000000000000
χ906-6-666-6-3-66-66-33333-3-3-333-300000000000000000000000000000000000000000000000000000000−33−333−33−3000000000000
χ916-6-66-66-36-6-66-333-3-3333-33-3000000000000000000000000000000000000000000000000000000003−3−333−3−33000000000000
χ926-6-66-66-36-6-66-333-3-3333-33-300000000000000000000000000000000000000000000000000000000−333−3−333−3000000000000
χ936-6-66-66-3-666-6-33333-3-33-3-33000000000000000000000000000000000000000000000000000000003−3−33−333−3000000000000
χ946-6-66-66-3-666-6-33333-3-33-3-3300000000000000000000000000000000000000000000000000000000−333−33−3−33000000000000
χ951212-12-1200-600006-6663−6363−6300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ961212-12-1200-600006-66−6363−636300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-1212-1200-6000066-663−63−636300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-1212-1200-6000066-6−636363−6300000000000000000000000000000000000000000000000000000000000000000000000000000000

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