Finite Group Databasebeta

← Group #13152090

Character table — Group #13152090

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222244446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636
order122222222236666666666633666666666666663666666666666666666666662222444444446666666612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-11111111-1-1-1-1-1-1-1-1111-111-1-1-1-11-1111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-11111111-1-1-1-1-1-1-1-111-11-1-111-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-11111
χ7111111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ8111111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-11-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ91111-1-111-1-1111-1-1-1-1111-1-1111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11-11-11-11-11-1-1111-1-111-1-111-1-1-1-11111-1-111-1-1
χ101111-1-111-1-1111-1-1-1-1111-1-1111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11-1-11-11-111-11-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ111111-1-111-1-1111-1-1-1-1111-1-1111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-11-11-11-11-1-11111-1-1-1-111-1-111-1-111-1-111
χ121111-1-111-1-1111-1-1-1-1111-1-1111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-11-111-11-1-111-1-1-111-1-111-1-11111-1-111-1-111-1-1
χ131111-1-1-1-111111-1-1-1-11-1-111111-1-1-1-11111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111-1111-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-1-1-111
χ141111-1-1-1-111111-1-1-1-11-1-111111-1-1-1-11111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ151111-1-1-1-111111-1-1-1-11-1-111111-1-1-1-11111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111-1111-111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ161111-1-1-1-111111-1-1-1-11-1-111111-1-1-1-11111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-11111-11-1-11-1-111-111-1-111-1-1-1-111-1-1111111-1-1-1-111
χ1722222222222222222222222-122222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000000220000-1-1-1-10000-1-1-1-100000000
χ1822222222222222222222222-122222-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000-2-2000011110000111100000000
χ192222222222222222222222-12-1-1-1-1-1222222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000000000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1-1-1-1-1222222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000000000011111111
χ21222222-2-2-2-222222222-2-2-2-22-12-2-2-2-2-1-1111122-1-122-2-2-1-111-1-1-1-1-1-1-111111111002-20000002-20000-1-1110000-1-11100000000
χ22222222-2-2-2-222222222-2-2-2-22-12-2-2-2-2-1-1111122-1-122-2-2-1-111-1-1-1-1-1-1-11111111100-22000000-22000011-1-1000011-1-100000000
χ23222222-2-2-2-222222222-2-2-2-2-12-1111122-2-2-2-2-1-12-1-1-11122-2-2-1-1-1-1-1-1-111111111000022-2-200000000000000000000-1-1-1-11111
χ24222222-2-2-2-222222222-2-2-2-2-12-1111122-2-2-2-2-1-12-1-1-11122-2-2-1-1-1-1-1-1-1111111110000-2-222000000000000000000001111-1-1-1-1
χ252222-2-222-2-2222-2-2-2-2222-2-22-122222-1-1111122-1-1-2-2-2-211-1-1-1-1-11111-1-1-1-11111002-2000000-220000-1-111000011-1-100000000
χ262222-2-222-2-2222-2-2-2-2222-2-22-122222-1-1111122-1-1-2-2-2-211-1-1-1-1-11111-1-1-1-1111100-220000002-2000011-1-10000-1-11100000000
χ272222-2-222-2-2222-2-2-2-2222-2-2-12-1-1-1-1-122-2-2-2-2-1-12-11111-2-222-1-1-11111-1-1-1-1111100002-22-200000000000000000000-1-111-1-111
χ282222-2-222-2-2222-2-2-2-2222-2-2-12-1-1-1-1-122-2-2-2-2-1-12-11111-2-222-1-1-11111-1-1-1-111110000-22-220000000000000000000011-1-111-1-1
χ292222-2-2-2-222222-2-2-2-22-2-2222-12-2-2-2-2-1-1-1-1-1-122-1-1-2-2221111-1-1-111111111-1-1-1-10022000000-2-20000-1-1-1-10000111100000000
χ302222-2-2-2-222222-2-2-2-22-2-2222-12-2-2-2-2-1-1-1-1-1-122-1-1-2-2221111-1-1-111111111-1-1-1-100-2-200000022000011110000-1-1-1-100000000
χ312222-2-2-2-222222-2-2-2-22-2-222-12-11111222222-1-12-111-1-1-2-2-2-2-1-1-111111111-1-1-1-100002-2-2200000000000000000000-1-11111-1-1
χ322222-2-2-2-222222-2-2-2-22-2-222-12-11111222222-1-12-111-1-1-2-2-2-2-1-1-111111111-1-1-1-10000-222-20000000000000000000011-1-1-1-111
χ332-2-222-22-22-22-2-222-2-222-22-222222-2-2-2-222-2-2-2-2222-22-22-22-22-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ342-2-222-22-22-22-2-222-2-222-22-22-1222-2-211-1-111-2-2-1-12-22-2-11-11-111-1-111-1-111-1-1110000000000000000−i3i3−i3i30000−i3i3−i3i300000000
χ352-2-222-22-22-22-2-222-2-222-22-22-1222-2-211-1-111-2-2-1-12-22-2-11-11-111-1-111-1-111-1-1110000000000000000i3−i3i3−i30000i3−i3i3−i300000000
χ362-2-222-22-22-22-2-222-2-222-22-2-12-1-1-111-2-222-2-2112-1-11-112-22-2-111-1-111-1-111-1-11100000000000000000000000000003−33−33−33−3
χ372-2-222-22-22-22-2-222-2-222-22-2-12-1-1-111-2-222-2-2112-1-11-112-22-2-111-1-111-1-111-1-1110000000000000000000000000000−33−33−33−33
χ382-2-222-2-22-222-2-222-2-22-22-22222-2-222-2-2-2-222-2-2222-2-222-2-222-2-222-2-2-2-222-2-222000000000000000000000000000000000000
χ392-2-222-2-22-222-2-222-2-22-22-222-12-2-2221111-1-1-2-2-1-12-2-22-111-1-111-1-11111-1-111-1-10000000000000000−i3i3i3−i30000−i3i3i3−i300000000
χ402-2-222-2-22-222-2-222-2-22-22-222-12-2-2221111-1-1-2-2-1-12-2-22-111-1-111-1-11111-1-111-1-10000000000000000i3−i3−i3i30000i3−i3−i3i300000000
χ412-2-222-2-22-222-2-222-2-22-22-22-12-111-1-1-2-2-2-222112-1-111-12-2-22-111-1-11111-1-111-1-100000000000000000000000000003−33−3−33−33
χ422-2-222-2-22-222-2-222-2-22-22-22-12-111-1-1-2-2-2-222112-1-111-12-2-22-111-1-11111-1-111-1-10000000000000000000000000000−33−333−33−3
χ432-2-22-222-2-222-2-2-2-22222-2-2222222-2-2-2-2-2-222-2-222-22-22-222-22-2-2-2-22222-2-2-2-222000000000000000000000000000000000000
χ442-2-22-222-2-222-2-2-2-22222-2-222-1222-2-21111-1-1-2-2-1-1-22-221-1-11-11111-1-1-1-11111-1-10000000000000000−i3i3i3−i30000i3−i3−i3i300000000
χ452-2-22-222-2-222-2-2-2-22222-2-222-1222-2-21111-1-1-2-2-1-1-22-221-1-11-11111-1-1-1-11111-1-10000000000000000i3−i3−i3i30000−i3i3i3−i300000000
χ462-2-22-222-2-222-2-2-2-22222-2-22-12-1-1-111-2-2-2-222112-11-11-1-222-2-11111-1-1-1-11111-1-100000000000000000000000000003−3−333−3−33
χ472-2-22-222-2-222-2-2-2-22222-2-22-12-1-1-111-2-2-2-222112-11-11-1-222-2-11111-1-1-1-11111-1-10000000000000000000000000000−333−3−333−3
χ482-2-22-22-222-22-2-2-2-2222-222-2222-2-222-2-222-2-2-2-222-222-2-22-222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ492-2-22-22-222-22-2-2-2-2222-222-22-12-2-22211-1-111-2-2-1-1-222-21-11-1-11111-1-111-1-1-1-1110000000000000000−i3i3−i3i30000i3−i3i3−i300000000
χ502-2-22-22-222-22-2-2-2-2222-222-22-12-2-22211-1-111-2-2-1-1-222-21-11-1-11111-1-111-1-1-1-1110000000000000000i3−i3i3−i30000−i3i3−i3i300000000
χ512-2-22-22-222-22-2-2-2-2222-222-2-12-111-1-1-2-222-2-2112-11-1-11-22-22-11111-1-111-1-1-1-11100000000000000000000000000003−3−33−333−3
χ522-2-22-22-222-22-2-2-2-2222-222-2-12-111-1-1-2-222-2-2112-11-1-11-22-22-11111-1-111-1-1-1-1110000000000000000000000000000−333−33−3−33
χ534444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2111111111111111000000000000000000000000000000000000
χ54444444-4-4-4-444444444-4-4-4-4-2-2-22222-2-22222-2-2-21-2-222-2-2221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ554444-4-444-4-4444-4-4-4-4444-4-4-2-2-2-2-2-2-2-2-22222-2-2-21222222-2-2111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ564444-4-4-4-444444-4-4-4-44-4-444-2-2-22222-2-2-2-2-2-2-2-2-2122-2-22222111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5744-4-400000044-40000-4000044-400004-400004-4-4400000000-44-4000000000000000000000000000000000000000000000000
χ5844-4-400000044-40000-400004-2-40000-22−2i32i3−2i32i34-42-2000000002-2200000000−2i32i3−2i32i3000000000000000000000000000000000000
χ5944-4-400000044-40000-400004-2-40000-222i3−2i32i3−2i34-42-2000000002-22000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ6044-4-400000044-40000-40000-242−2i32i3−2i32i34-40000-22-4-2000000002-220000−2i32i3−2i32i30000000000000000000000000000000000000000
χ6144-4-400000044-40000-40000-2422i3−2i32i3−2i34-40000-22-4-2000000002-2200002i3−2i32i3−2i30000000000000000000000000000000000000000
χ6244-4-400000044-40000-40000-2-22−2i32i3−2i32i3-22−2i32i3−2i32i3-222100000000-11-13-33-3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ6344-4-400000044-40000-40000-2-22−2i32i3−2i32i3-222i3−2i32i3−2i3-222100000000-11-1-33-33i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ6444-4-400000044-40000-40000-2-222i3−2i32i3−2i3-22−2i32i3−2i32i3-222100000000-11-1-33-33−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ6544-4-400000044-40000-40000-2-222i3−2i32i3−2i3-222i3−2i32i3−2i3-222100000000-11-13-33-3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ664-44-40000004-440000-4000044-40000-440000-44-4400000000-4-44000000000000000000000000000000000000000000000000
χ674-44-40000004-440000-400004-2-400002-2−2i32i32i3−2i3-442-20000000022-200000000−2i32i32i3−2i3000000000000000000000000000000000000
χ684-44-40000004-440000-400004-2-400002-22i3−2i3−2i32i3-442-20000000022-2000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ694-44-40000004-440000-40000-242−2i32i32i3−2i3-4400002-2-4-20000000022-20000−2i32i32i3−2i30000000000000000000000000000000000000000
χ704-44-40000004-440000-40000-2422i3−2i3−2i32i3-4400002-2-4-20000000022-200002i3−2i3−2i32i30000000000000000000000000000000000000000
χ714-44-40000004-440000-40000-2-22−2i32i32i3−2i32-2−2i32i32i3−2i32-22100000000-1-113-3-33i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000
χ724-44-40000004-440000-40000-2-22−2i32i32i3−2i32-22i3−2i3−2i32i32-22100000000-1-11-333-3i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000
χ734-44-40000004-440000-40000-2-222i3−2i3−2i32i32-2−2i32i32i3−2i32-22100000000-1-11-333-3−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ744-44-40000004-440000-40000-2-222i3−2i3−2i32i32-22i3−2i3−2i32i32-22100000000-1-113-3-33−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000
χ754-4-444-44-44-44-4-444-4-444-44-4-2-2-2-2-22222-2-22222-21-22-22-22-221-1-111-1-111-1-111-1-1000000000000000000000000000000000000
χ764-4-444-4-44-444-4-444-4-44-44-44-2-2-222-2-22222-2-222-21-222-2-222-21-1-111-1-1-1-111-1-111000000000000000000000000000000000000
χ774-4-44-444-4-444-4-4-4-44444-4-44-2-2-2-2-2222222-2-222-212-22-22-2-221-1-1-1-11111-1-1-1-111000000000000000000000000000000000000
χ784-4-44-44-444-44-4-4-4-4444-444-4-2-2-222-2-222-2-22222-212-2-222-22-21-1-1-1-111-1-11111-1-1000000000000000000000000000000000000
χ796666666666-3-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000220000002200-1-1-1-10000-1-1-1-1000000000000
χ806666666666-3-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000-2-2000000-2-200111100001111000000000000
χ81666666-6-6-6-6-3-3-3-3-3-3-3-33333000000000000000000000000000000000000000022000000-2-200-1-1-1-100001111000000000000
χ82666666-6-6-6-6-3-3-3-3-3-3-3-333330000000000000000000000000000000000000000-2-2000000220011110000-1-1-1-1000000000000
χ836666-6-666-6-6-3-3-33333-3-3-33300000000000000000000000000000000000000002-20000002-200-1-1110000-1-111000000000000
χ846666-6-666-6-6-3-3-33333-3-3-3330000000000000000000000000000000000000000-22000000-220011-1-1000011-1-1000000000000
χ856666-6-6-6-666-3-3-33333-333-3-300000000000000000000000000000000000000002-2000000-2200-1-111000011-1-1000000000000
χ866666-6-6-6-666-3-3-33333-333-3-30000000000000000000000000000000000000000-220000002-20011-1-10000-1-111000000000000
χ876-6-666-66-66-6-333-3-333-3-33-330000000000000000000000000000000000000000000000000000−i3i3−i3i30000−i3i3−i3i3000000000000
χ886-6-666-66-66-6-333-3-333-3-33-330000000000000000000000000000000000000000000000000000i3−i3i3−i30000i3−i3i3−i3000000000000
χ896-6-666-6-66-66-333-3-333-33-33-30000000000000000000000000000000000000000000000000000−i3i3−i3i30000i3−i3i3−i3000000000000
χ906-6-666-6-66-66-333-3-333-33-33-30000000000000000000000000000000000000000000000000000i3−i3i3−i30000−i3i3−i3i3000000000000
χ916-6-66-666-6-66-33333-3-3-3-333-30000000000000000000000000000000000000000000000000000−i3i3i3−i30000−i3i3i3−i3000000000000
χ926-6-66-666-6-66-33333-3-3-3-333-30000000000000000000000000000000000000000000000000000i3−i3−i3i30000i3−i3−i3i3000000000000
χ936-6-66-66-666-6-33333-3-3-33-3-330000000000000000000000000000000000000000000000000000−i3i3i3−i30000i3−i3−i3i3000000000000
χ946-6-66-66-666-6-33333-3-3-33-3-330000000000000000000000000000000000000000000000000000i3−i3−i3i30000−i3i3i3−i3000000000000
χ951212-12-12000000-6-66−6i36i3−6i36i3600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ961212-12-12000000-6-666i3−6i36i3−6i3600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-1212-12000000-66-6−6i36i36i3−6i3600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-1212-12000000-66-66i3−6i3−6i36i3600000000000000000000000000000000000000000000000000000000000000000000000000000000

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