Finite Group Databasebeta

← Group #13172267

Character table — Group #13172267

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222224444444444444444448888888888888812121212121218181818181824242424242424242424242424242424242424242424242436363636363636363636363636363654545454
order122222333666666666333666666666666666366666666666664444444444441212121212121212121212121212121212121212121212124441212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-111-111-1-1-1-11111-1-11111-1-111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-111-11-1-111-1-111-1-11111-1-1111111-1-1-1-11111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111-111-111-1-1-1-111-1-11111-1-11111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1
χ91111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-111-1-1-1-11-11-1111-11-1-1-111-1-111-1-111-1-1-11111-1-111-1-111-1-111-1-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-111-1-1-111111111-11-1-1-11-11-11111-1-111-1-1-1-111-1-1-111-1-1-1-111-1-111-1-111
χ111111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11-11-11-1-1-1-1-1111-1-11111-1-11-1-111-1-1-1-11111-1-111-1-1-11111-1-1-1-111-1-111
χ121111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11-1-1-111-1-111-1-11-1-11-1-11-1-111111-1-1-1-111-1-1111-11-1-111-1-11111-1-111-1-1
χ131111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-1-111-111-111-1-1-1-1-11111-1-111-1-11-11-1-111-1-11111-1-1-1-111
χ141111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-1-1-111-111-1-1-1-111-111-1-11111-1-1-1-11111-1-1-11111-1-1-1-11111-1-1
χ151111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1111111-11-1111-11-11-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111111-1-1-1-1-11-11-1-1-11-1111-1-111-1-111-1-111-11111-1-111-1-111-1-1-1-111
χ1722222222-122-122-122-12-1-12222-1-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-102202200002200-122-1002-12-10000-1-1-1-1-1-1-1-100200000000-1-1-1-10000
χ1822222222-122-122-122-12-1-12222-1-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-102-202-20000-2-200-12-21002-1-210000-1-1-1-1111100-20000000011110000
χ1922222222-122-122-122-12-1-12222-1-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-10-220-220000-2-2001-22-100-212-100001111-1-1-1-100-20000000011110000
χ2022222222-122-122-122-12-1-12222-1-12-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-10-2-20-2-2000022001-2-2100-21-2100001111111100200000000-1-1-1-10000
χ212222222-122-122-122-12-12-122-1-122-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1202202002200-1200-122-100-12-1-1-1-10000-1-1-1-10200000-1-1-1-100000000
χ222222222-122-122-122-12-12-122-1-122-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-120-220-200-2-200-12001-22-1001-2-1-1-1-1000011110-200000111100000000
χ232222222-122-122-122-12-12-122-1-122-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-202-20200-2-2001-200-12-2100-1211110000-1-1-1-10-200000111100000000
χ242222222-122-122-122-12-12-122-1-122-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-20-2-20-20022001-2001-2-21001-21111000011110200000-1-1-1-100000000
χ25222222-122-122-122-122-1-12-1-12222-1-12-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-12202202200002-12-100-12-1200-1-1-1-1-1-1-1-10000200-1-1-1-1000000000000
χ26222222-122-122-122-122-1-12-1-12222-1-12-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-12-202-20-2-200002-1-2100-121-200-1-1-1-111110000-2001111000000000000
χ27222222-122-122-122-122-1-12-1-12222-1-12-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-220-220-2-20000-212-1001-2-12001111-1-1-1-10000-2001111000000000000
χ28222222-122-122-122-122-1-12-1-12222-1-12-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-2-20-2-20220000-21-21001-21-200111111110000200-1-1-1-1000000000000
χ292222-2-222-122-122-122-12-1-1-2-2-2-2112-1-122-1-1-1-1-1-2-21111-1-1-111110220-2-20000-2-200-1-22-10021-210000-1-111-1-11100200000000-1-1110000
χ302222-2-222-122-122-122-12-1-1-2-2-2-2112-1-122-1-1-1-1-1-2-21111-1-1-1111102-20-2200002200-1-2-2100212-10000-1-11111-1-100-20000000011-1-10000
χ312222-2-222-122-122-122-12-1-1-2-2-2-2112-1-122-1-1-1-1-1-2-21111-1-1-111110-2202-200002200122-100-2-1-21000011-1-1-1-11100-20000000011-1-10000
χ322222-2-222-122-122-122-12-1-1-2-2-2-2112-1-122-1-1-1-1-1-2-21111-1-1-111110-2-20220000-2-20012-2100-2-12-1000011-1-111-1-100200000000-1-1110000
χ332222-2-22-122-122-122-12-12-1-2-211-2-2-12-1-1-122-1-1-111-2-211-1-1-11111202-20-200-2-200-1-200-1221001-2-1-1110000-1-1110200000-1-11100000000
χ342222-2-22-122-122-122-12-12-1-2-211-2-2-12-1-1-122-1-1-111-2-211-1-1-1111120-2-202002200-1-2001-22100-12-1-111000011-1-10-20000011-1-100000000
χ352222-2-22-122-122-122-12-12-1-2-211-2-2-12-1-1-122-1-1-111-2-211-1-1-11111-20220-20022001200-12-2-1001-211-1-10000-1-1110-20000011-1-100000000
χ362222-2-22-122-122-122-12-12-1-2-211-2-2-12-1-1-122-1-1-111-2-211-1-1-11111-20-220200-2-20012001-2-2-100-1211-1-1000011-1-10200000-1-11100000000
χ372222-2-2-122-122-122-122-1-1211-2-2-2-2-1-12-1-1-1-122-11111-2-2-1-1-11111220-2-20220000212100-1-2-1-200-1-111-1-1110000-200-1-111000000000000
χ382222-2-2-122-122-122-122-1-1211-2-2-2-2-1-12-1-1-1-122-11111-2-2-1-1-111112-20-220-2-2000021-2-100-1-21200-1-11111-1-1000020011-1-1000000000000
χ392222-2-2-122-122-122-122-1-1211-2-2-2-2-1-12-1-1-1-122-11111-2-2-1-1-11111-2202-20-2-20000-2-1210012-1-20011-1-1-1-111000020011-1-1000000000000
χ402222-2-2-122-122-122-122-1-1211-2-2-2-2-1-12-1-1-1-122-11111-2-2-1-1-11111-2-20220220000-2-1-2-10012120011-1-111-1-10000-200-1-111000000000000
χ4122-2-200222-2-2-2-2222-2-2222000000-2-2-22-22-22-220000002-2-200000000002-22i−2i2i−2i0000000000000000000000000002-200002i−2i002i−2i0000
χ4222-2-200222-2-2-2-2222-2-2222000000-2-2-22-22-22-220000002-2-200000000002-2−2i2i−2i2i0000000000000000000000000002-20000−2i2i00−2i2i0000
χ4322-2-200222-2-2-2-2222-2-2222000000-2-2-22-22-22-220000002-2-20000000000-222i−2i−2i2i000000000000000000000000000-2200002i−2i00−2i2i0000
χ4422-2-200222-2-2-2-2222-2-2222000000-2-2-22-22-22-220000002-2-20000000000-22−2i2i2i−2i000000000000000000000000000-220000−2i2i002i−2i0000
χ452-22-22-2222222-2-2-2-2-2-22222-22-22-2222-2-2-2-2-2-222-22-22-2-22-222-2-20000000000000000000000000000000000000000000000000002-22-2
χ462-22-22-2222222-2-2-2-2-2-22222-22-22-2222-2-2-2-2-2-222-22-22-2-22-222-2-2000000000000000000000000000000000000000000000000000-22-22
χ472-22-2-22222222-2-2-2-2-2-2222-22-22-22222-2-2-2-2-2-22-22-22-22-22-2-2-2220000000000000000000000000000000000000000000000000002-2-22
χ482-22-2-22222222-2-2-2-2-2-2222-22-22-22222-2-2-2-2-2-22-22-22-22-22-2-2-222000000000000000000000000000000000000000000000000000-222-2
χ494444444-2-24-2-24-2-24-2-2-2-2144-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111111110040040000000000-2-20000-2-20000000011110000000000000000000
χ504444444-2-24-2-24-2-24-2-2-2-2144-2-2-2-2-2-21-2-2-2-2111-2-2-2-211111111100-400-400000000002200002200000000-1-1-1-10000000000000000000
χ51444444-24-2-24-2-24-2-24-2-21-2-2-244-2-2-21-2-2-211-2-21-2-211-2-2111111104004000000000-2-20000-2-2000000111100000000000000000000000
χ52444444-24-2-24-2-24-2-24-2-21-2-2-244-2-2-21-2-2-211-2-21-2-211-2-211111110-400-400000000022000022000000-1-1-1-100000000000000000000000
χ53444444-2-24-2-24-2-24-2-241-2-2-2-2-2-2441-2-211-2-2-2-2111-2-2-2-21111111400400000000-2-20000-2-200001111000000000000000000000000000
χ54444444-2-24-2-24-2-24-2-241-2-2-2-2-2-2441-2-211-2-2-2-2111-2-2-2-21111111-400-400000000220000220000-1-1-1-1000000000000000000000000000
χ554444-4-44-2-24-2-24-2-24-2-2-2-21-4-42222-2-21-2-2-2-21112222-1-1111-1-1-1-100400-40000000000-2-20000220000000011-1-10000000000000000000
χ564444-4-44-2-24-2-24-2-24-2-2-2-21-4-42222-2-21-2-2-2-21112222-1-1111-1-1-1-100-40040000000000220000-2-200000000-1-1110000000000000000000
χ574444-4-4-24-2-24-2-24-2-24-2-21-222-4-422-21-2-2-211-2-2122-1-122111-1-1-1-10400-4000000000-220000-2200000011-1-100000000000000000000000
χ584444-4-4-24-2-24-2-24-2-24-2-21-222-4-422-21-2-2-211-2-2122-1-122111-1-1-1-10-40040000000002-200002-2000000-1-11100000000000000000000000
χ594444-4-4-2-24-2-24-2-24-2-241-2-22222-4-41-2-211-2-2-2-21-1-12222111-1-1-1-1400-400000000-220000-22000011-1-1000000000000000000000000000
χ604444-4-4-2-24-2-24-2-24-2-241-2-22222-4-41-2-211-2-2-2-21-1-12222111-1-1-1-1-4004000000002-200002-20000-1-111000000000000000000000000000
χ6144-4-40044-2-4-42-44-24-424-2-2000000-4224-4-22-22-2000000-222000000000000004i−4i0000000000000000000000000000000000000−2i2i0000
χ6244-4-40044-2-4-42-44-24-424-2-2000000-4224-4-22-22-2000000-22200000000000000−4i4i00000000000000000000000000000000000002i−2i0000
χ6344-4-4004-24-42-4-4-2442-4-24-20000002-42-224-4-22-2000000-2220000000000004i−4i00000000000000000000000000000000000−2i2i00000000
χ6444-4-4004-24-42-4-4-2442-4-24-20000002-42-224-4-22-2000000-222000000000000−4i4i000000000000000000000000000000000002i−2i00000000
χ6544-4-400-2442-4-4244-2-4-4-2-2400000022-4-22-224-4-2000000-22200000000004-40000000000000000000000000000000-2200000000000000
χ6644-4-400-2442-4-4244-2-4-4-2-2400000022-4-22-224-4-2000000-2220000000000-4400000000000000000000000000000002-200000000000000
χ674-44-44-444-244-2-4-42-4-424-2-24-44-4-224-2-2-4-42222-24-4-22-222-22-2-2220000000000000000000000000000000000000000000000000000000
χ684-44-44-44-244-24-42-4-42-4-24-24-4-224-4-24-222-4-422-2-224-4-222-22-2-2220000000000000000000000000000000000000000000000000000000
χ694-44-44-44-2-24-2-2-422-422-2-214-4-22-22-2-212222-1-11-22-221-1-11-111-1-1000000000000000000000000000000003i−3i3i−3i0000000000000000000
χ704-44-44-44-2-24-2-2-422-422-2-214-4-22-22-2-212222-1-11-22-221-1-11-111-1-100000000000000000000000000000000−3i3i−3i3i0000000000000000000
χ714-44-44-4-244-2442-4-42-4-4-2-24-224-44-4-2-242222-4-4-2-22-224-42-22-2-2220000000000000000000000000000000000000000000000000000000
χ724-44-44-4-24-2-24-22-422-42-21-2-224-4-22-21-222-1-1221-221-1-22-11-111-1-100000000000000000000000000003i−3i3i−3i00000000000000000000000
χ734-44-44-4-24-2-24-22-422-42-21-2-224-4-22-21-222-1-1221-221-1-22-11-111-1-10000000000000000000000000000−3i3i−3i3i00000000000000000000000
χ744-44-44-4-2-24-2-2422-422-41-2-2-22-224-41-2-2-1-1222211-1-22-22-11-111-1-10000000000000000000000003i−3i3i−3i000000000000000000000000000
χ754-44-44-4-2-24-2-2422-422-41-2-2-22-224-41-2-2-1-1222211-1-22-22-11-111-1-1000000000000000000000000−3i3i−3i3i000000000000000000000000000
χ764-44-4-4444-244-2-4-42-4-424-2-2-44-442-24-2-2-4-42222-2-442-22-22-2222-2-20000000000000000000000000000000000000000000000000000000
χ774-44-4-444-244-24-42-4-42-4-24-2-442-2-44-24-222-4-422-22-2-442-22-2222-2-20000000000000000000000000000000000000000000000000000000
χ784-44-4-444-2-24-2-2-422-422-2-21-442-22-2-2-212222-1-112-22-2-11-11-1-1-111000000000000000000000000000000003i−3i−3i3i0000000000000000000
χ794-44-4-444-2-24-2-2-422-422-2-21-442-22-2-2-212222-1-112-22-2-11-11-1-1-11100000000000000000000000000000000−3i3i3i−3i0000000000000000000
χ804-44-4-44-244-2442-4-42-4-4-2-242-2-44-44-2-242222-4-4-22-22-2-442-2222-2-20000000000000000000000000000000000000000000000000000000
χ814-44-4-44-24-2-24-22-422-42-21-22-2-442-2-21-222-1-12212-2-112-2-11-1-1-11100000000000000000000000000003i−3i−3i3i00000000000000000000000
χ824-44-4-44-24-2-24-22-422-42-21-22-2-442-2-21-222-1-12212-2-112-2-11-1-1-1110000000000000000000000000000−3i3i3i−3i00000000000000000000000
χ834-44-4-44-2-24-2-2422-422-41-2-22-22-2-441-2-2-1-122221-112-22-2-11-1-1-1110000000000000000000000003i−3i−3i3i000000000000000000000000000
χ844-44-4-44-2-24-2-2422-422-41-2-22-22-2-441-2-2-1-122221-112-22-2-11-1-1-111000000000000000000000000−3i3i3i−3i000000000000000000000000000
χ854-4-4400444-4-4-44-4-4-444444000000-4-4-4-44-44-444000000-4-4400000000000000000000000000000000000000000000000000000000000
χ864-4-440044-2-4-424-42-44-24-2-2000000-422-442-22-2-200000022-2000000000000000000000000000000000000000000000000000−2i32i3000000
χ874-4-440044-2-4-424-42-44-24-2-2000000-422-442-22-2-200000022-20000000000000000000000000000000000000000000000000002i3−2i3000000
χ884-4-44004-24-42-442-4-4-24-24-20000002-422-2-442-2-200000022-200000000000000000000000000000000000000000000000−2i32i30000000000
χ894-4-44004-24-42-442-4-4-24-24-20000002-422-2-442-2-200000022-2000000000000000000000000000000000000000000000002i3−2i30000000000
χ904-4-4400-2442-4-4-2-4-4244-2-2400000022-42-22-2-44-200000022-200000000000000000000000000000000000000000000023−23000000000000
χ914-4-4400-2442-4-4-2-4-4244-2-2400000022-42-22-2-44-200000022-2000000000000000000000000000000000000000000000−2323000000000000
χ92888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-4222222222-1222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000
χ938888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222222222-1-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9488-8-8008-4-4-844-8-4-4844-4-4200000044-2-44-442-220000002-2-200000000000000000000000000000000000000000000000000000000000
χ9588-8-800-48-44-8448-4-4-84-42-40000004-24-442-2-4420000002-2-200000000000000000000000000000000000000000000000000000000000
χ9688-8-800-4-4844-84-48-44-82-4-4000000-2442-2-44-4420000002-2-200000000000000000000000000000000000000000000000000000000000
χ9788-8-800-4-4-44444-4-4-444222000000-2-2-22-22-22-2-1000000-111−3i33i3−3i33i30000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-4-44444-4-4-444222000000-2-2-22-22-22-2-1000000-1113i3−3i33i3−3i30000000000000000000000000000000000000000000000000000000
χ998-88-88-8-4-4-4-4-4-4444444222-44-44-44222-2-2-2-2-2-2-12-22-22-21-11-1-1110000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-4-4-4-4-4-44444442224-44-44-4222-2-2-2-2-2-2-1-22-22-221-1111-1-10000000000000000000000000000000000000000000000000000000
χ1018-8-88008-4-4-844844-8-4-4-4-4200000044-24-44-4-222000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-48-44-84-4-8448-4-42-40000004-244-4-224-42000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1038-8-8800-4-4844-8-44-84-482-4-4000000-244-224-44-42000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-8800-4-4-4444-4444-4-4222000000-2-2-2-22-22-22-100000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ1058-8-8800-4-4-4444-4444-4-4222000000-2-2-2-22-22-22-100000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000

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