Finite Group Databasebeta

← Group #13172145

Character table — Group #13172145

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222224444444444444444448888888888888812121212121218181818181824242424242424242424242424242424242424242424242436363636363636363636363636363654545454
order122222333666666666333666666666666666366666666666662244442244446666666612121212121212121212121212121212244666612121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-111-1-1111111111-1-1-1-11111111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1111-111-1-1-1-1-11-1111-1-1111111-1-111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-11-1-1-1-1-111-11-1111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111-1111-11-1-1-1-1111-11-1-1-111-11111-111-1-1111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-11-1-1-1111-1-1-1-11-11-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-11-1-1-1-1-11111-1-1-1-11111
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
χ91111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-111-1-111-1-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-111-1-111
χ111111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11-11-1-11111111-11-1111-1-1-111-1-1-111-1-11111-1-1-1-1-111-1-1-1-111-1-111-1-111
χ121111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11-1-11-11-1-111-1-1-11-1111-1-1-1-1-111-111-1-111-1-1111-11-1-111-1-11111-1-111-1-1
χ131111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-111-11-1-1-111-1-11-11-1-1-111111-1-11-1-111-1-111-1-11-11-1-111-1-11111-1-1-1-111
χ141111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-11-111-11111111-11-1-1-1111-1-1111-1-111-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1
χ151111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111111-1-111-1-1-11111-1-1-1-11111-1-1
χ161111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-111-11111-1-111-1-111-1-1-1-111
χ1722222222-1222-1-1-1222-12-12222-1-1-122-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1202220220000020-1-1-100-12-12-1200-1-100-1-1-1-1200-1-1-1-1000000000000
χ1822222222-1222-1-1-1222-12-12222-1-1-122-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-120-2-220-2-20000020-1-1-100-1-21-21200-1-1001111-2001111000000000000
χ1922222222-1222-1-1-1222-12-12222-1-1-122-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-2022-20-2-200000-201110012-12-1-2001100-1-1-1-1-2001111000000000000
χ2022222222-1222-1-1-1222-12-12222-1-1-122-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-20-2-2-202200000-20111001-21-21-20011001111200-1-1-1-1000000000000
χ212222222-12-122222-1-122-1-122-1-1222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-12200220022002-1-12-1-1-1-120000-1-12-1-1-1-100000200000-1-1-1-100000000
χ222222222-12-122222-1-122-1-122-1-1222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-12-2002-200-2-200-2-112-1-11120000-11-2-1-11100000-200000111100000000
χ232222222-12-122222-1-122-1-122-1-1222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-2200-2200-2-20021-1-211-1-1-200001-1211-1-100000-200000111100000000
χ242222222-12-122222-1-122-1-122-1-1222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2002200-211-21111-2000011-2111100000200000-1-1-1-100000000
χ25222222-1222-1-122222-1-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1022202000022-102000-1-10-12-1202-100-1-1-1-1-1-100200000000-1-1-1-10000
χ26222222-1222-1-122222-1-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-102-2-2020000-2-2-102000-1-101-21-202-100-1-1111100-20000000011110000
χ27222222-1222-1-122222-1-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-10-2220-20000-2-210-2000110-12-120-210011-1-1-1-100-20000000011110000
χ28222222-1222-1-122222-1-1-12-1-12222-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1-10-2-2-20-200002210-20001101-21-20-210011111100200000000-1-1-1-10000
χ292222-2-222-1222-1-1-1222-12-1-2-2-2-211-122-1-1-1-12-1-111-2-211-1-1-11111202-2-20220000020-1-1-10012-1-21-2001100-1-111-200-1-111000000000000
χ302222-2-222-1222-1-1-1222-12-1-2-2-2-211-122-1-1-1-12-1-111-2-211-1-1-1111120-22-20-2-20000020-1-1-1001-212-1-200110011-1-120011-1-1000000000000
χ312222-2-222-1222-1-1-1222-12-1-2-2-2-211-122-1-1-1-12-1-111-2-211-1-1-11111-202-220-2-200000-2011100-12-1-21200-1-100-1-11120011-1-1000000000000
χ322222-2-222-1222-1-1-1222-12-1-2-2-2-211-122-1-1-1-12-1-111-2-211-1-1-11111-20-22202200000-2011100-1-212-1200-1-10011-1-1-200-1-111000000000000
χ332222-2-22-12-122222-1-122-1-1-2-211-2-22-1-1-1-122-1-1-1-2-21111-1-1-111112200-2-200-2-2002-1-12-1-1-1-1-2000011-2111100000200000-1-11100000000
χ342222-2-22-12-122222-1-122-1-1-2-211-2-22-1-1-1-122-1-1-1-2-21111-1-1-111112-200-22002200-2-112-1-111-200001-1211-1-100000-20000011-1-100000000
χ352222-2-22-12-122222-1-122-1-1-2-211-2-22-1-1-1-122-1-1-1-2-21111-1-1-11111-22002-200220021-1-211-1-120000-11-2-1-11100000-20000011-1-100000000
χ362222-2-22-12-122222-1-122-1-1-2-211-2-22-1-1-1-122-1-1-1-2-21111-1-1-11111-2-2002200-2-200-211-2111120000-1-12-1-1-1-100000200000-1-11100000000
χ372222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-122-1-1-12-11111-2-2-1-1-11111022-20-20000-2-2-102000-1-10-121-20-210011-1-11100200000000-1-1110000
χ382222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-122-1-1-12-11111-2-2-1-1-1111102-220-2000022-102000-1-101-2-120-21001111-1-100-20000000011-1-10000
χ392222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-122-1-1-12-11111-2-2-1-1-111110-22-20200002210-2000110-121-202-100-1-1-1-11100-20000000011-1-10000
χ402222-2-2-1222-1-122222-1-1-1211-2-2-2-2-1-1-122-1-1-12-11111-2-2-1-1-111110-2-22020000-2-210-20001101-2-1202-100-1-111-1-100200000000-1-1110000
χ4122-2-20022222-22-2-2-2-2-2222000000-22-22-22-2-2-220000002-2-200000000002-22i−2i2i−2i0000000000000000000000000002-200002i−2i002i−2i0000
χ4222-2-20022222-22-2-2-2-2-2222000000-22-22-22-2-2-220000002-2-200000000002-2−2i2i−2i2i0000000000000000000000000002-20000−2i2i00−2i2i0000
χ4322-2-20022222-22-2-2-2-2-2222000000-22-22-22-2-2-220000002-2-20000000000-222i−2i−2i2i000000000000000000000000000-2200002i−2i00−2i2i0000
χ4422-2-20022222-22-2-2-2-2-2222000000-22-22-22-2-2-220000002-2-20000000000-22−2i2i2i−2i000000000000000000000000000-220000−2i2i002i−2i0000
χ452-2-222-2222-2-2-2-22-22-222222-22-22-22-2-2-2-2-2-22222-22-22-2-22-222-2-20000000000000000000000000000000000000000000000000002-22-2
χ462-2-222-2222-2-2-2-22-22-222222-22-22-22-2-2-2-2-2-22222-22-22-2-22-222-2-2000000000000000000000000000000000000000000000000000-22-22
χ472-2-22-22222-2-2-2-22-22-22222-22-22-222-2-2-2-2-2-2222-22-22-22-22-2-2-2220000000000000000000000000000000000000000000000000002-2-22
χ482-2-22-22222-2-2-2-22-22-22222-22-22-222-2-2-2-2-2-2222-22-22-22-22-2-2-222000000000000000000000000000000000000000000000000000-222-2
χ494444444-2-2-244-2-2-2-2-24-2-2144-2-2-2-2-2-2-211-2-2-211-2-2-2-21111111114000400000000-20-21100-20000-200110000000000000000000000000
χ504444444-2-2-244-2-2-2-2-24-2-2144-2-2-2-2-2-2-211-2-2-211-2-2-2-2111111111-4000-400000000202-1-10020000200-1-10000000000000000000000000
χ51444444-24-24-2-2-2-2-244-21-2-2-2-244-2-21-2-2-2-211-2-2111-2-2-2-21111111004400000000000000000-2-2-2-2000000011110000000000000000000
χ52444444-24-24-2-2-2-2-244-21-2-2-2-244-2-21-2-2-2-211-2-2111-2-2-2-2111111100-4-40000000000000000022220000000-1-1-1-10000000000000000000
χ53444444-2-24-2-2-2444-2-2-2-21-2-2-2-2-244-211-2-2-2-21-21-2-211-2-21111111040004000000-20-200011000000-2-2001100000000000000000000000
χ54444444-2-24-2-2-2444-2-2-2-21-2-2-2-2-244-211-2-2-2-21-21-2-211-2-211111110-4000-4000000202000-1-10000002200-1-100000000000000000000000
χ554444-4-44-2-2-244-2-2-2-2-24-2-21-4-42222-2-2-211-2-2-2112222-1-1111-1-1-1-14000-400000000-20-2110020000200-1-10000000000000000000000000
χ564444-4-44-2-2-244-2-2-2-2-24-2-21-4-42222-2-2-211-2-2-2112222-1-1111-1-1-1-1-4000400000000202-1-100-20000-200110000000000000000000000000
χ574444-4-4-24-24-2-2-2-2-244-21-2-222-4-4221-2-2-2-211-2-21-1-12222111-1-1-1-1004-400000000000000000-2-222000000011-1-10000000000000000000
χ584444-4-4-24-24-2-2-2-2-244-21-2-222-4-4221-2-2-2-211-2-21-1-12222111-1-1-1-100-440000000000000000022-2-20000000-1-1110000000000000000000
χ594444-4-4-2-24-2-2-2444-2-2-2-21-22222-4-4-211-2-2-2-21-2122-1-122111-1-1-1-104000-4000000-20-2000110000002200-1-100000000000000000000000
χ604444-4-4-2-24-2-2-2444-2-2-2-21-22222-4-4-211-2-2-2-21-2122-1-122111-1-1-1-10-40004000000202000-1-1000000-2-2001100000000000000000000000
χ6144-4-40044-244-4-222-4-4-4-24-200000024-4-22-22-42-2000000-22200000000004-40000000000000000000000000000000-2200000000000000
χ6244-4-40044-244-4-222-4-4-4-24-200000024-4-22-22-42-2000000-2220000000000-4400000000000000000000000000000002-200000000000000
χ6344-4-4004-24-24-44-4-422-44-2-2000000-4-22-224-422-2000000-2220000000000004i−4i00000000000000000000000000000000000−2i2i00000000
χ6444-4-4004-24-24-44-4-422-44-2-2000000-4-22-224-422-2000000-222000000000000−4i4i000000000000000000000000000000000002i−2i00000000
χ6544-4-400-2444-224-4-4-4-42-2-240000002-224-4-222-4-2000000-222000000000000004i−4i0000000000000000000000000000000000000−2i2i0000
χ6644-4-400-2444-224-4-4-4-42-2-240000002-224-4-222-4-2000000-22200000000000000−4i4i00000000000000000000000000000000000002i−2i0000
χ674-44-400444-4-44-4-44-44-4444000000-4-44-44-44-4-44000000-4-4400000000000000000000000000000000000000000000000000000000000
χ684-44-40044-2-4-4422-2-44-4-24-20000002-442-22-2-42-200000022-2000000000000000000000000000000000000000000000−2i32i3000000000000
χ694-44-40044-2-4-4422-2-44-4-24-20000002-442-22-2-42-200000022-20000000000000000000000000000000000000000000002i3−2i3000000000000
χ704-44-4004-242-44-4-442-2-44-2-2000000-42-22-2-4422-200000022-200000000000000000000000000000000000000000000000−2i32i30000000000
χ714-44-4004-242-44-4-442-2-44-2-2000000-42-22-2-4422-200000022-2000000000000000000000000000000000000000000000002i3−2i30000000000
χ724-44-400-244-42-2-4-44-442-2-2400000022-2-442-22-4-200000022-200000000000000000000000000000000000000000000000000023−23000000
χ734-44-400-244-42-2-4-44-442-2-2400000022-2-442-22-4-200000022-2000000000000000000000000000000000000000000000000000−2323000000
χ744-4-444-444-2-4-4-42-224-44-24-24-44-4-22-2-4-422224-2-2-224-4-222-22-2-2220000000000000000000000000000000000000000000000000000000
χ754-4-444-44-242-4-4-44-4-2244-2-24-4-224-442222-4-4-2-2-24-4-22-222-22-2-2220000000000000000000000000000000000000000000000000000000
χ764-4-444-44-2-22-4-42-22-224-2-214-4-22-22-222-1-122-211-22-221-1-11-111-1-100000000000000003-300000000003-30000000000000000000000000
χ774-4-444-44-2-22-4-42-22-224-2-214-4-22-22-222-1-122-211-22-221-1-11-111-1-10000000000000000-330000000000-330000000000000000000000000
χ784-4-444-4-244-422-44-44-4-2-2-24-224-44-4-222-4-422-24-2-22-224-42-22-2-2220000000000000000000000000000000000000000000000000000000
χ794-4-444-4-24-2-4222-224-4-21-2-2-224-4-2212222-1-1-2-211-1-22-22-11-111-1-1000000000000000000000000000000003i−3i3i−3i0000000000000000000
χ804-4-444-4-24-2-4222-224-4-21-2-2-224-4-2212222-1-1-2-211-1-22-22-11-111-1-100000000000000000000000000000000−3i3i−3i3i0000000000000000000
χ814-4-444-4-2-24222-44-4-22-2-21-2-22-224-4-2-1-122221-21-221-1-22-11-111-1-10000000000000000003-300000000003-300000000000000000000000
χ824-4-444-4-2-24222-44-4-22-2-21-2-22-224-4-2-1-122221-21-221-1-22-11-111-1-1000000000000000000-330000000000-3300000000000000000000000
χ834-4-44-4444-2-4-4-42-224-44-24-2-44-442-2-2-4-422224-2-22-2-442-22-2222-2-20000000000000000000000000000000000000000000000000000000
χ844-4-44-444-242-4-4-44-4-2244-2-2-442-2-4442222-4-4-2-2-2-442-22-22-2222-2-20000000000000000000000000000000000000000000000000000000
χ854-4-44-444-2-22-4-42-22-224-2-21-442-22-2-222-1-122-2112-22-2-11-11-1-1-11100000000000000003-30000000000-330000000000000000000000000
χ864-4-44-444-2-22-4-42-22-224-2-21-442-22-2-222-1-122-2112-22-2-11-11-1-1-1110000000000000000-3300000000003-30000000000000000000000000
χ874-4-44-44-244-422-44-44-4-2-2-242-2-44-44-222-4-422-24-22-22-2-442-2222-2-20000000000000000000000000000000000000000000000000000000
χ884-4-44-44-24-2-4222-224-4-21-2-22-2-442-212222-1-1-2-21-112-22-2-11-1-1-111000000000000000000000000000000003i−3i−3i3i0000000000000000000
χ894-4-44-44-24-2-4222-224-4-21-2-22-2-442-212222-1-1-2-21-112-22-2-11-1-1-11100000000000000000000000000000000−3i3i3i−3i0000000000000000000
χ904-4-44-44-2-24222-44-4-22-2-21-22-22-2-44-2-1-122221-212-2-112-2-11-1-1-1110000000000000000003-30000000000-3300000000000000000000000
χ914-4-44-44-2-24222-44-4-22-2-21-22-22-2-44-2-1-122221-212-2-112-2-11-1-1-111000000000000000000-3300000000003-300000000000000000000000
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
χ9488-8-8008-4-4-48-8-44444-8-4-420000004-442-2-444-220000002-2-200000000000000000000000000000000000000000000000000000000000
χ9588-8-800-48-48-44-444-8-842-4-4000000-2-44-442-24420000002-2-200000000000000000000000000000000000000000000000000000000000
χ9688-8-800-4-48-4-448-8-8444-42-400000042-2-44-44-2420000002-2-200000000000000000000000000000000000000000000000000000000000
χ9788-8-800-4-4-4-4-44-444444222000000-22-22-22-2-2-2-1000000-111−3i33i3−3i33i30000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-4-4-4-44-444444222000000-22-22-22-2-2-2-1000000-1113i3−3i33i3−3i30000000000000000000000000000000000000000000000000000000
χ998-88-8008-4-44-8844-44-4-8-4-4200000044-4-224-44-22000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1008-88-800-48-4-84-444-4-8842-4-4000000-24-44-4-22442000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-4844-4-8-884-44-42-40000004-224-44-4-242000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-4-444-444-44-44222000000-2-22-22-22-2-2-100000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ1038-88-800-4-4-444-444-44-44222000000-2-22-22-22-2-2-100000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000
χ1048-8-888-8-4-4-44444-44-44-4222-44-44-442-2-2-2-2-2-222-12-22-22-21-11-1-1110000000000000000000000000000000000000000000000000000000
χ1058-8-88-88-4-4-44444-44-44-42224-44-44-42-2-2-2-2-2-222-1-22-22-221-1111-1-10000000000000000000000000000000000000000000000000000000

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