Finite Group Databasebeta

← Group #13151435

Character table — Group #13151435

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size112224466668991212121212121818181818181824242424363636363636363636367272112224466668991212121212121818181818181824242424363636363636363636367272
order1234621233666443666121228888121266612244612122424242461222646212666664466661212288881212666122446121224242424612
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1111111-11-1111-1-1-1-1-1-1111111111111111111111-1-1-1-1111111-11-1111-1-1-1-1-1-1
χ3111111111111-1-1111111-111-1-1-1-111111-1-1-1-1-1-1-1111-1111111111111-1-1111111-111-1-1-1-111111-1-1-1-1-1-1-1111-1
χ4111111111111-1-1111111-1-1-111-1-11111-1-11-1-1-111-1-1-11111111111111-1-1111111-1-1-111-1-11111-1-11-1-1-111-1-1-11
χ511111-111111-1111-1-11111111111-1-1-11-1-1-11-1-11111-1-111111-111111-1111-1-11111111111-1-1-11-1-1-11-1-11111-1-1
χ611111-111111-1111-1-11111-1-1-1-111-1-1-111-111-1-1-1-1-1-11111111-111111-1111-1-11111-1-1-1-111-1-1-111-111-1-1-1-1-1-111
χ711111-111111-1-1-11-1-1111-111-1-1-1-1-1-1-11-111-111-1-111-1111111-111111-1-1-11-1-1111-111-1-1-1-1-1-1-11-111-111-1-111-11
χ811111-111111-1-1-11-1-1111-1-1-111-1-1-1-1-1111-1-11111-1-11-111111-111111-1-1-11-1-1111-1-1-111-1-1-1-1-1111-1-11111-1-11-1
χ922222222-1-12200-122-12-10220000-1-1-1-120000000-1-1-1022222222-1-12200-122-12-10220000-1-1-1-120000000-1-1-10
χ1022222222-1-12200-122-12-10-2-20000-1-1-1-1-20000000111022222222-1-12200-122-12-10-2-20000-1-1-1-1-200000001110
χ112222222-122-1222-1-1-1-1-1220000-1-12-1-1-1020-1-1-10000002222222-122-1222-1-1-1-1-1220000-1-12-1-1-1020-1-1-1000000
χ122222222-122-12-2-2-1-1-1-1-12-20000112-1-1-10-201110000002222222-122-12-2-2-1-1-1-1-12-20000112-1-1-10-20111000000
χ1322222-222-1-12-200-1-2-2-12-10220000111-1-20000000-1-11022222-222-1-12-200-1-2-2-12-10220000111-1-20000000-1-110
χ1422222-222-1-12-200-1-2-2-12-10-2-20000111-12000000011-1022222-222-1-12-200-1-2-2-12-10-2-20000111-12000000011-10
χ1522222-22-122-1-222-111-1-1220000-1-1-211-10-20-11100000022222-22-122-1-222-111-1-1220000-1-1-211-10-20-111000000
χ1622222-22-122-1-2-2-2-111-1-12-2000011-211-10201-1-100000022222-22-122-1-2-2-2-111-1-12-2000011-211-10201-1-1000000
χ17222-220-222220222002-2-2-2000022000-2000-200000000222-220-222220222002-2-2-2000022000-2000-200000000
χ18222-220-222220-2-22002-2-220000-2-2000-2000200000000222-220-222220-2-22002-2-220000-2-2000-2000200000000
χ19222-220-2-122-1022-1−i3i3-11-2-20000-1-10−i3i310001−i3i3000000222-220-2-122-1022-1−i3i3-11-2-20000-1-10−i3i310001−i3i3000000
χ20222-220-2-122-1022-1i3−i3-11-2-20000-1-10i3−i310001i3−i3000000222-220-2-122-1022-1i3−i3-11-2-20000-1-10i3−i310001i3−i3000000
χ21222-220-2-122-10-2-2-1−i3i3-11-220000110−i3i31000-1i3−i3000000222-220-2-122-10-2-2-1−i3i3-11-220000110−i3i31000-1i3−i3000000
χ22222-220-2-122-10-2-2-1i3−i3-11-220000110i3−i31000-1−i3i3000000222-220-2-122-10-2-2-1i3−i3-11-220000110i3−i31000-1−i3i3000000
χ232-220-20022-2-202i−2i200-20002−2−i2i22i−2i0000000000−i2i22−2002-220-20022-2-202i−2i200-20002−2−i2i22i−2i0000000000−i2i22−200
χ242-220-20022-2-202i−2i200-2000−22i2−i22i−2i0000000000i2−i2−22002-220-20022-2-202i−2i200-2000−22i2−i22i−2i0000000000i2−i2−2200
χ252-220-20022-2-20−2i2i200-20002−2i2−i2−2i2i0000000000i2−i22−2002-220-20022-2-20−2i2i200-20002−2i2−i2−2i2i0000000000i2−i22−200
χ262-220-20022-2-20−2i2i200-2000−22−i2i2−2i2i0000000000−i2i2−22002-220-20022-2-20−2i2i200-2000−22−i2i2−2i2i0000000000−i2i2−2200
χ274444444-2-2-2-24001-2-21-2-20000000-21110000000000004444444-2-2-2-24001-2-21-2-20000000-2111000000000000
χ2844444-44-2-2-2-2-4001221-2-200000002-1-1100000000000044444-44-2-2-2-2-4001221-2-200000002-1-11000000000000
χ29444-440-44-2-24000-200-2-4200000000002000000000000444-440-44-2-24000-200-2-4200000000002000000000000
χ30444-440-4-2-2-2-20001−2i32i312200000000i3−i3-1000000000000444-440-4-2-2-2-20001−2i32i312200000000i3−i3-1000000000000
χ31444-440-4-2-2-2-200012i3−2i312200000000−i3i3-1000000000000444-440-4-2-2-2-200012i3−2i312200000000−i3i3-1000000000000
χ324-440-4004-22-4000-200200022−220000000000000000−22004-440-4004-22-4000-200200022−220000000000000000−2200
χ334-440-4004-22-4000-2002000−222200000000000000002−2004-440-4004-22-4000-2002000−222200000000000000002−200
χ344-440-400-24-4204i−4i-20020000000−2i2i00000000000000004-440-400-24-4204i−4i-20020000000−2i2i0000000000000000
χ354-440-400-24-420−4i4i-200200000002i−2i00000000000000004-440-400-24-420−4i4i-200200000002i−2i0000000000000000
χ3666-36-36-30000-30000000000022000000002000-1-1000-166-36-36-30000-30000000000022000000002000-1-1000-1
χ3766-36-36-30000-300000000000-2-200000000-200011000166-36-36-30000-300000000000-2-200000000-2000110001
χ3866-36-3-6-300003000000000002200000000-2000-1-1000166-36-3-6-300003000000000002200000000-2000-1-10001
χ3966-36-3-6-30000300000000000-2-200000000200011000-166-36-3-6-30000300000000000-2-200000000200011000-1
χ408-880-800-4-444000200-200000000000000000000000008-880-800-4-444000200-20000000000000000000000000
χ411212-6-12-6060000000000000000000000000000000000001212-6-12-606000000000000000000000000000000000000
χ4212-12-606000000000000000000−2i22i2000000000000i2−i2000012-12-606000000000000000000−2i22i2000000000000i2−i20000
χ4312-12-6060000000000000000002i2−2i2000000000000−i2i2000012-12-6060000000000000000002i2−2i2000000000000−i2i20000
χ441111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ45111111111111111111111-1-1-1-1111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-1111111
χ46111111111111-1-1111111-111-1-1-1-111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-11111111-1-1-11
χ47111111111111-1-1111111-1-1-111-1-11111-1-11-1-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111-1111-1-1111-1
χ4811111-111111-1111-1-11111111111-1-1-11-1-1-11-1-11111-1-1-1-1-1-1-11-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1111-1111-111-1-1-1-111
χ4911111-111111-1111-1-11111-1-1-1-111-1-1-111-111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-11-1-1-111-1-1-1-11111-1-1111-1-11-1-1111111-1-1
χ5011111-111111-1-1-11-1-1111-111-1-1-1-1-1-1-11-111-111-1-111-11-1-1-1-1-11-1-1-1-1-1111-111-1-1-11-1-11111111-11-1-11-1-111-1-11-1
χ5111111-111111-1-1-11-1-1111-1-1-111-1-1-1-1-1111-1-11111-1-11-1-1-1-1-1-11-1-1-1-1-1111-111-1-1-1111-1-111111-1-1-111-1-1-1-111-11
χ5222222222-1-12200-122-12-10220000-1-1-1-120000000-1-1-10-2-2-2-2-2-2-2-211-2-2001-2-21-210-2-200001111-200000001110
χ5322222222-1-12200-122-12-10-2-20000-1-1-1-1-200000001110-2-2-2-2-2-2-2-211-2-2001-2-21-210220000111120000000-1-1-10
χ542222222-122-1222-1-1-1-1-1220000-1-12-1-1-1020-1-1-1000000-2-2-2-2-2-2-21-2-21-2-2-211111-2-2000011-21110-20111000000
χ552222222-122-12-2-2-1-1-1-1-12-20000112-1-1-10-20111000000-2-2-2-2-2-2-21-2-21-22211111-220000-1-1-2111020-1-1-1000000
χ5622222-222-1-12-200-1-2-2-12-10220000111-1-20000000-1-110-2-2-2-2-22-2-211-22001221-210-2-20000-1-1-112000000011-10
χ5722222-222-1-12-200-1-2-2-12-10-2-20000111-12000000011-10-2-2-2-2-22-2-211-22001221-210220000-1-1-11-20000000-1-110
χ5822222-22-122-1-222-111-1-1220000-1-1-211-10-20-111000000-2-2-2-2-22-21-2-212-2-21-1-111-2-20000112-1-110201-1-1000000
χ5922222-22-122-1-2-2-2-111-1-12-2000011-211-10201-1-1000000-2-2-2-2-22-21-2-212221-1-111-220000-1-12-1-110-20-111000000
χ60222-220-222220222002-2-2-2000022000-2000-200000000-2-2-22-202-2-2-2-20-2-2-200-22220000-2-20002000200000000
χ61222-220-222220-2-22002-2-220000-2-2000-2000200000000-2-2-22-202-2-2-2-2022-200-222-20000220002000-200000000
χ62222-220-2-122-1022-1−i3i3-11-2-20000-1-10−i3i310001−i3i3000000-2-2-22-2021-2-210-2-21i3−i31-1220000110i3−i3-1000-1i3−i3000000
χ63222-220-2-122-1022-1i3−i3-11-2-20000-1-10i3−i310001i3−i3000000-2-2-22-2021-2-210-2-21−i3i31-1220000110−i3i3-1000-1−i3i3000000
χ64222-220-2-122-10-2-2-1−i3i3-11-220000110−i3i31000-1i3−i3000000-2-2-22-2021-2-210221i3−i31-12-20000-1-10i3−i3-10001−i3i3000000
χ65222-220-2-122-10-2-2-1i3−i3-11-220000110i3−i31000-1−i3i3000000-2-2-22-2021-2-210221−i3i31-12-20000-1-10−i3i3-10001i3−i3000000
χ662-220-20022-2-202i−2i200-20002−2−i2i22i−2i0000000000−i2i22−200-22-20200-2-2220−2i2i-2002000−22i2−i2−2i2i0000000000i2−i2−2200
χ672-220-20022-2-202i−2i200-2000−22i2−i22i−2i0000000000i2−i2−2200-22-20200-2-2220−2i2i-20020002−2−i2i2−2i2i0000000000−i2i22−200
χ682-220-20022-2-20−2i2i200-20002−2i2−i2−2i2i0000000000i2−i22−200-22-20200-2-22202i−2i-2002000−22−i2i22i−2i0000000000−i2i2−2200
χ692-220-20022-2-20−2i2i200-2000−22−i2i2−2i2i0000000000−i2i2−2200-22-20200-2-22202i−2i-20020002−2i2−i22i−2i0000000000i2−i22−200
χ704444444-2-2-2-24001-2-21-2-20000000-2111000000000000-4-4-4-4-4-4-42222-400-122-12200000002-1-1-1000000000000
χ7144444-44-2-2-2-2-4001221-2-200000002-1-11000000000000-4-4-4-4-44-42222400-1-2-2-1220000000-211-1000000000000
χ72444-440-44-2-24000-200-2-4200000000002000000000000-4-4-44-404-422-400020024-20000000000-2000000000000
χ73444-440-4-2-2-2-20001−2i32i312200000000i3−i3-1000000000000-4-4-44-4042222000-12i3−2i3-1-2-200000000−i3i31000000000000
χ74444-440-4-2-2-2-200012i3−2i312200000000−i3i3-1000000000000-4-4-44-4042222000-1−2i32i3-1-2-200000000i3−i31000000000000
χ754-440-4004-22-4000-200200022−220000000000000000−2200-44-40400-42-24000200-2000−222200000000000000002−200
χ764-440-4004-22-4000-2002000−222200000000000000002−200-44-40400-42-24000200-200022−220000000000000000−2200
χ774-440-400-24-4204i−4i-20020000000−2i2i0000000000000000-44-404002-44-20−4i4i200-200000002i−2i0000000000000000
χ784-440-400-24-420−4i4i-200200000002i−2i0000000000000000-44-404002-44-204i−4i200-20000000−2i2i0000000000000000
χ7966-36-36-30000-30000000000022000000002000-1-1000-1-6-63-63-630000300000000000-2-200000000-2000110001
χ8066-36-36-30000-300000000000-2-200000000-2000110001-6-63-63-63000030000000000022000000002000-1-1000-1
χ8166-36-3-6-300003000000000002200000000-2000-1-10001-6-63-63630000-300000000000-2-200000000200011000-1
χ8266-36-3-6-30000300000000000-2-200000000200011000-1-6-63-63630000-3000000000002200000000-2000-1-10001
χ838-880-800-4-444000200-20000000000000000000000000-88-8080044-4-4000-20020000000000000000000000000
χ841212-6-12-606000000000000000000000000000000000000-12-1261260-6000000000000000000000000000000000000
χ8512-12-606000000000000000000−2i22i2000000000000i2−i20000-121260-60000000000000000002i2−2i2000000000000−i2i20000
χ8612-12-6060000000000000000002i2−2i2000000000000−i2i20000-121260-6000000000000000000−2i22i2000000000000i2−i20000

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