Finite Group Databasebeta

← Group #11887036

Character table — Group #11887036

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order122222334466666634666666612121212224424666612121212121212122244446666668888121266612121288882466121212121212242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-111
χ91111-1-111111111111-1-1-1-1-1111111111-1-11-111-1-1-1-1-1-111-1-111-1111111111-1-111-1-1111-1-1-11111-1-1-1-1-1111-1-111-1-1-1-1-11
χ101111-1-111111111111-1-1-1-1-1111111111-1-11-111-1-1-1-1-1-111-1-111-11-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-11-1-111-1-111111-1
χ111111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-11-111-1111-1-1-1-11111-11
χ121111-1-111111111111-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-111111111111-11-1-11111-1-1-1-11-1
χ131111-1-111111111111-1-1-1-1-11111111-1-1111-111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11-1111-111-1-111-1-1111-1
χ141111-1-111111111111-1-1-1-1-11111111-1-1111-111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111111-1-1-1111111111-1-1-111-1-111-1-1-11
χ151111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-1-1-1-11111-1-1111-111-1-1111111-1-111-1-1-11111111-1-1-1-11-111-1-1-1-111-1-11-1
χ161111-1-111111111111-1-1-1-1-11111111-1-111-11-1-1-1-1-1-11111-1-1111-1-1-1-1-11111-1-11111-1-1-1111-1-1-1-1-11-1-11-1-1-11111-1-111-11
χ1722222222-2-22222222-22222222-2-2-2-22222000022-2-200-2-2-2-200-2-20022000000002200000000000000-2-2000000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2000022-2-200-2-2-2-2002200-2-200000000-2-20000000000000022000000000000
χ192222222-12222-1-1-12-1222-1-1-1-1-1-1-122222222-1-1-1-12-1-1-1-1-1-1-1222200-1-1-1-1-1-10000-1-12-1-12-1-1000020-1-1-1-1000000000000
χ202222222-12222-1-1-12-1222-1-1-1-1-1-1-1222222-2-211-1-12-111-1-1-1-1-2-22200-1-111110000-1-1-211-2110000-2011-1-1000000000000
χ212222222-12222-1-1-12-1222-1-1-1-1-1-1-122-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-2-2-2-2001111110000112-1-12-1-10000-201111000000000000
χ222222222-12222-1-1-12-1222-1-1-1-1-1-1-122-2-2-2-2-2-211-1-12-111-1-1-1-122-2-20011-1-1-1-1000011-211-211000020-1-111000000000000
χ232222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-2222200−i3i3-1-1-21−i3i3111100-2-200-1-1−i3−i3i3i30000-1-10−i3i30−i3i3000000−i3i311000000000000
χ242222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-2222200i3−i3-1-1-21i3−i3111100-2-200-1-1i3i3−i3−i30000-1-10i3−i30i3−i3000000i3−i311000000000000
χ252222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-2-2-2-2-200−i3i3-1-1-21−i3i3111100220011i3i3−i3−i30000110−i3i30−i3i3000000i3−i3-1-1000000000000
χ262222222-1-2-222-1-1-12-1-222-1-1-1-1-111-2-2-2-2-2-200i3−i3-1-1-21i3−i3111100220011−i3−i3i3i30000110i3−i30i3−i3000000−i3i3-1-1000000000000
χ27222222-1222-1-1222-1-12-1-122-1-1-122-1-100002222-1-1-1222-1-1-1-1000022000000222200-1-1-1-1-1-10000020000-1-1-1-1-1-1-1-10000
χ28222222-1222-1-1222-1-12-1-122-1-1-122-1-100002222-1-1-1222-1-1-1-10000-2-2000000-2-2-2-200-1-1-1-1-1-100000-20000111111110000
χ29222222-1222-1-1222-1-12-1-122-1-1-122-1-10000-2-2-2-2-1-1-12-2-2-1-1-1-1000022000000-2-2-2-2001111110000020000-1-1-1-111110000
χ30222222-1222-1-1222-1-12-1-122-1-1-122-1-10000-2-2-2-2-1-1-12-2-2-1-1-1-10000-2-200000022220011111100000-200001111-1-1-1-10000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-2-222-2-20000-2-22200-2-222002-2002200000000-2-2000000000000002-2000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-2-2-2-2220000-2-22200-2-22200-2200-2-2000000002200000000000000-22000000000000
χ332222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-12222-2-22-2-1-111-2111-1-11122-2200-1-1-1-1-1-10000112-1-1-2110000-20111-1000000000000
χ342222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-12222-2-2-221111-21-1-1-1-111-2-2-2200-1-11111000011-2112-1-1000020-1-11-1000000000000
χ352222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-122-2-2222-2-1-111-2111-1-111-2-22-2001111110000-1-12-1-1-211000020-1-1-11000000000000
χ362222-2-22-12222-1-1-12-1-2-2-211-1-1-1-1-122-2-222-221111-21-1-1-1-111222-20011-1-1-1-10000-1-1-2112-1-10000-2011-11000000000000
χ372222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-222-2-200−i3i3112-1i3−i311-1-1002-200-1-1−i3−i3i3i30000110−i3i30i3−i3000000i3−i3-11000000000000
χ382222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-222-2-200i3−i3112-1−i3i311-1-1002-200-1-1i3i3−i3−i30000110i3−i30−i3i3000000−i3i3-11000000000000
χ392222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-2-2-22200−i3i3112-1i3−i311-1-100-220011i3i3−i3−i30000-1-10−i3i30i3−i3000000−i3i31-1000000000000
χ402222-2-22-1-2-222-1-1-12-12-2-211-1-1-111-2-2-2-22200i3−i3112-1−i3i311-1-100-220011−i3−i3i3i30000-1-10i3−i30−i3i3000000i3−i31-1000000000000
χ412222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-100002-222111-2-2-2-1-111000022000000-2-22200-1-1-111100000-20000-1-111-1-1110000
χ422222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-100002-222111-2-2-2-1-1110000-2-200000022-2-200-1-1-1111000002000011-1-111-1-10000
χ432222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-10000-22-2-2111-222-1-11100002200000022-2-200111-1-1-100000-20000-1-11111-1-10000
χ442222-2-2-1222-1-1222-1-1-211-2-2-1-1-122-1-10000-22-2-2111-222-1-1110000-2-2000000-2-22200111-1-1-1000002000011-1-1-1-1110000
χ452-22-200222-2-22-22-2-2200000-22-22-22-2000000000000002-2002-2002i−2i002-22-20000000000002i2i−2i−2i0000002i−2i0000000000
χ462-22-200222-2-22-22-2-2200000-22-22-22-2000000000000002-2002-200−2i2i002-22-2000000000000−2i−2i2i2i000000−2i2i0000000000
χ472-22-200222-2-22-22-2-2200000-22-22-22-2000000000000002-200-22002i−2i00-22-22000000000000−2i−2i2i2i0000002i−2i0000000000
χ482-22-200222-2-22-22-2-2200000-22-22-22-2000000000000002-200-2200−2i2i00-22-220000000000002i2i−2i−2i000000−2i2i0000000000
χ492-2-222-22200-2-2-2-222202-22-2-2-2200002-22-200002-2000000000000002-200002−22−22-20000002−22−200000000002−22−22−200
χ502-2-222-22200-2-2-2-222202-22-2-2-2200002-22-200002-2000000000000002-20000−22−222-2000000−22−220000000000−22−22−2200
χ512-2-222-22200-2-2-2-222202-22-2-2-220000-22-2200002-200000000000000-2200002−22−2-22000000−22−2200000000002−22−2−2200
χ522-2-222-22200-2-2-2-222202-22-2-2-220000-22-2200002-200000000000000-220000−22−22-220000002−22−20000000000−22−222−200
χ532-2-22-222200-2-2-2-22220-22-22-2-2200002-2-220000-22000000000000002-200002−2−22-22000000−22−220000000000−222−22−200
χ542-2-22-222200-2-2-2-22220-22-22-2-2200002-2-220000-22000000000000002-20000−222−2-220000002−22−200000000002−2−22−2200
χ552-2-22-222200-2-2-2-22220-22-22-2-220000-222-20000-2200000000000000-2200002−2−222-20000002−22−20000000000−222−2−2200
χ562-2-22-222200-2-2-2-22220-22-22-2-220000-222-20000-2200000000000000-220000−222−22-2000000−22−2200000000002−2−222−200
χ57444444-24-4-4-2-2444-2-2-4-2-244-2-2-2-4-42200000000-2-22-40022220000000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2000044-2-211-2-2-2-21111000000000000000000-211-2110000000000000000000000
χ59444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-20000-4-42211-2-22211110000000000000000002-1-12-1-10000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222000000−2i32i31122−2i32i3-1-1-1-10000000000000000000i3−i30i3−i30000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122220000002i3−2i311222i3−2i3-1-1-1-10000000000000000000−i3i30−i3i30000000000000000000000
χ624444-4-4-24-4-4-2-2444-2-2422-4-4-2-2-2-4-4220000000022-240022-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-200004-4-2-2-1-1222211-1-1000000000000000000-2112-1-10000000000000000000000
χ644444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-2-20000-4422-1-122-2-211-1-10000000000000000002-1-1-2110000000000000000000000
χ654444-4-4-2-2-4-4-2-2-2-2-2-21422221112222000000−2i32i3-1-1-2-22i3−2i3-1-1110000000000000000000i3−i30−i3i30000000000000000000000
χ664444-4-4-2-2-4-4-2-2-2-2-2-214222211122220000002i3−2i3-1-1-2-2−2i32i3-1-1110000000000000000000−i3i30i3−i30000000000000000000000
χ6744-4-40044004-44-4-4-44000004-4-40000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ6844-4-40044004-44-4-4-44000004-4-400000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ694-44-40044-44-44-44-4-4400000-44-4-44-4400000000000000-44000000000000000000000000000000000000000000000000
χ704-44-4004-24-4-442-22-4-2000002-22-224-400000000000000-22004-4000000-22-220000000000000000000000000000000000
χ714-44-4004-24-4-442-22-4-2000002-22-224-400000000000000-2200-440000002-22-20000000000000000000000000000000000
χ724-44-4004-2-44-442-22-4-2000002-222-2-44000000000000002-20000000000−2i32i32i3−2i30000000000000000000000000000000000
χ734-44-4004-2-44-442-22-4-2000002-222-2-44000000000000002-200000000002i3−2i3−2i32i30000000000000000000000000000000000
χ744-44-400-244-42-2-44-42-2000002-224-4-2200000000000000-220000004i−4i0000000000000000000000000000−2i2i0000000000
χ754-44-400-244-42-2-44-42-2000002-224-4-2200000000000000-22000000−4i4i00000000000000000000000000002i−2i0000000000
χ764-44-400-24-442-2-44-42-2000002-22-442-2000000000000002-20000000000000000000000000000000000000023−2300000000
χ774-44-400-24-442-2-44-42-2000002-22-442-2000000000000002-200000000000000000000000000000000000000−232300000000
χ784-4-444-44-200-4-422-24-204-4-2222-200004-44-40000-2200000000000000-2200000000-220000000000000000000000000000
χ794-4-444-44-200-4-422-24-204-4-2222-20000-44-440000-22000000000000002-2000000002-20000000000000000000000000000
χ804-4-444-4-240022-4-44-2-20-224-422-2000000000000-220000000000000000000022−2222−220000000000000000000000−22−220000
χ814-4-444-4-240022-4-44-2-20-224-422-2000000000000-2200000000000000000000−2222−222200000000000000000000002−22−20000
χ824-4-44-444-200-4-422-24-20-442-222-200004-4-4400002-200000000000000-22000000002-20000000000000000000000000000
χ834-4-44-444-200-4-422-24-20-442-222-20000-444-400002-2000000000000002-200000000-220000000000000000000000000000
χ844-4-44-44-240022-4-44-2-202-2-4422-20000000000002-20000000000000000000022−22−222200000000000000000000002−2−220000
χ854-4-44-44-240022-4-44-2-202-2-4422-20000000000002-200000000000000000000−222222−220000000000000000000000−222−20000
χ8688-8-8008-4008-8-444-8-400000-44400000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-800-4800-448-8-84-400000-44400000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-800-4-400-44-44442000002-2-2000000000000000000006i−6i0000000000000000000000000000000000000000000000
χ8988-8-800-4-400-44-44442000002-2-200000000000000000000−6i6i0000000000000000000000000000000000000000000000
χ908-88-800-4-48-84-44-444200000-22-2-44-44000000000000002-2000000000000000000000000000000000000000000000000
χ918-88-800-4-4-884-44-444200000-22-24-44-400000000000000-22000000000000000000000000000000000000000000000000
χ928-8-888-8-4-4004444-4-420-44-44-2-220000000000002-2000000000000000000000000000000000000000000000000000000
χ938-8-88-88-4-4004444-4-4204-44-4-2-22000000000000-22000000000000000000000000000000000000000000000000000000

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