Finite Group Databasebeta

← Group #11864500

Character table — Group #11864500

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666634466688121212122424242422446666412121212121212122424242424242444446688121224242424121212121244812121212121212242422241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-1-1-11111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-11-11-1-1-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11111111-1-11111-111-1-1-11-1111-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1111-1-1-1-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-11-1-1-111-1-1-1-1-1-1-111-111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-111-1-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1-111-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11-1-11111-11-1-1-1-111-1-11-1-1111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-111-111-111-1-11111-111-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111111-1-1111-1-11-1-111-1-1-1-1-111-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-111-1-111-1-111111-1-111-1-11-11111-1-1111-1-11-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000200-2002200-2-2000000000000-200000000-2002000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-200200-2-200-2-2000000000000200000000200-2000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000200-200220022000000000000-200000000200-2000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-200200-2-20022000000000000200000000-2002000
χ2122222-12222-1-1-12-122-1-1-1222-1-122222000000002-1-12222-1-1-1-1-1-1-1-1200222-1-100000000-1-1-1-1-1202-1-1-10000-1-10000-100
χ2222222-12222-1-1-12-122-1-1-1222-1-122222000000002-1-12222-1-1-1-1-1-1-1-1-200-2-2-21100000000-1-1-1-1-1-20-21110000110000100
χ2322222-12222-1-1-12-122-1-1-1-2-22-1-12-2-2-2-200000000-2-1-122-2-2-1-1111111200222-1-1000000001-1-111-20-2-1-1-10000110000100
χ2422222-12222-1-1-12-122-1-1-1-2-22-1-12-2-2-2-200000000-2-1-122-2-2-1-1111111-200-2-2-211000000001-1-1112021110000-1-10000-100
χ2522222-12222-1-1-12-1-2-2-1-1-1222-1-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-12002-2-2-1-10000000011111-202-1110000-1-10000100
χ2622222-12222-1-1-12-1-2-2-1-1-1222-1-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-1-200-22211000000001111120-21-1-10000110000-100
χ2722222-12222-1-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-200000000211-2-222-1-11111112002-2-2-1-100000000-111-1-120-2-1110000110000-100
χ2822222-12222-1-1-12-1-2-2-1-1-1-2-22-1-12-2-2-2-200000000211-2-222-1-1111111-200-2221100000000-111-1-1-2021-1-10000-1-10000100
χ292222-1222-1-1222-1-122-1-1-122-122-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-10220000022-1-1-1-1-1-12-1-1-1-1020000-1-1-1-1000000000
χ302222-1222-1-1222-1-122-1-1-122-122-1-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-10-2-200000-2-21111112-1-1-1-10-200001111000000000
χ312222-1222-1-1222-1-122-1-1-1-2-2-122-111112222-1-1-1-1-222-1-111-1-1-2-2111102200000-2-2-1-11111-2-1-1110-20000-1-111000000000
χ322222-1222-1-1222-1-122-1-1-1-2-2-122-11111-2-2-2-21111-222-1-111-1-1-2-211110-2-2000002211-1-1-1-1-2-1-11102000011-1-1000000000
χ332222-1222-1-1222-1-1-2-2-1-1-122-122-1-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-10-2-20000022-1-1-1-1-1-1-211110-200001111000000000
χ342222-1222-1-1222-1-1-2-2-1-1-122-122-1-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-102200000-2-2111111-21111020000-1-1-1-1000000000
χ352222-1222-1-1222-1-1-2-2-1-1-1-2-2-122-111112222-1-1-1-12-2-211-1-1-1-1-2-211110-2-200000-2-2-1-11111211-1-102000011-1-1000000000
χ362222-1222-1-1222-1-1-2-2-1-1-1-2-2-122-11111-2-2-2-211112-2-211-1-1-1-1-2-21111022000002211-1-1-1-1211-1-10-20000-1-111000000000
χ372-2-22222-2-2-2-2-22222-2-2-2200-22-2200002-22-222-2-202-22-200-2200000002-200000002-2000002-2000000002-200000000000
χ382-2-22222-2-2-2-2-22222-2-2-2200-22-220000-22-22-2-22202-22-200-220000000-220000000-22000002-200000000-2200000000000
χ392-2-22222-2-2-2-2-2222-22-2-2200-22-2200002-22-222-2-20-22-2200-220000000-2200000002-200000-2200000000-2200000000000
χ402-2-22222-2-2-2-2-2222-22-2-2200-22-220000-22-22-2-2220-22-2200-2200000002-20000000-2200000-22000000002-200000000000
χ412-2-2222-22-2-2-2-222200-2-22002-22-200002-2-2222-2-200000002-200000000002-20000-2200000000000002-200000002-20000
χ422-2-2222-22-2-2-2-222200-2-22002-22-200002-2-2222-2-200000002-20000000000-220000-220000000000000-220000000-220000
χ432-2-2222-22-2-2-2-222200-2-22002-22-20000-222-2-2-22200000002-200000000002-200002-200000000000002-20000000-220000
χ442-2-2222-22-2-2-2-222200-2-22002-22-20000-222-2-2-22200000002-20000000000-2200002-20000000000000-2200000002-20000
χ452-2-22-122-211-2-22-1-12-211-10012-2-1−i3−i3i3i32-22-2-1-11102-2-11−i3i31-100−i3−i3i3i302-20000000-11−i3−i3i3i30-11−i3i3000000-11−i3i3000000000
χ462-2-22-122-211-2-22-1-12-211-10012-2-1−i3−i3i3i3-22-2211-1-102-2-11−i3i31-100−i3−i3i3i30-2200000001-1i3i3−i3−i30-11−i3i30000001-1i3−i3000000000
χ472-2-22-122-211-2-22-1-12-211-10012-2-1i3i3−i3−i32-22-2-1-11102-2-11i3−i31-100i3i3−i3−i302-20000000-11i3i3−i3−i30-11i3−i3000000-11i3−i3000000000
χ482-2-22-122-211-2-22-1-12-211-10012-2-1i3i3−i3−i3-22-2211-1-102-2-11i3−i31-100i3i3−i3−i30-2200000001-1−i3−i3i3i30-11i3−i30000001-1−i3i3000000000
χ492-2-22-122-211-2-22-1-1-2211-10012-2-1−i3−i3i3i32-22-2-1-1110-221-1i3−i31-100−i3−i3i3i30-220000000-11−i3−i3i3i301-1i3−i30000001-1i3−i3000000000
χ502-2-22-122-211-2-22-1-1-2211-10012-2-1−i3−i3i3i3-22-2211-1-10-221-1i3−i31-100−i3−i3i3i302-200000001-1i3i3−i3−i301-1i3−i3000000-11−i3i3000000000
χ512-2-22-122-211-2-22-1-1-2211-10012-2-1i3i3−i3−i32-22-2-1-1110-221-1−i3i31-100i3i3−i3−i30-220000000-11i3i3−i3−i301-1−i3i30000001-1−i3i3000000000
χ522-2-22-122-211-2-22-1-1-2211-10012-2-1i3i3−i3−i3-22-2211-1-10-221-1−i3i31-100i3i3−i3−i302-200000001-1−i3−i3i3i301-1−i3i3000000-11i3−i3000000000
χ5344444-2-4-444-2-2-24-200-2-2-200-422-4000000000000000000022000000400-400-2-200000000000000002000000000000000
χ5444444-2-4-444-2-2-24-200-2-2-200-422-4000000000000000000022000000-400400220000000000000000-2000000000000000
χ554444-24-4-4-2-2444-2-200-2-2-2002-4-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-4-2-2444-2-200-2-2-2002-4-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000211-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-444004-4-44-4-44004-4-40000000000000000000000000000000000000000022−220022−2222−22000000000000000000000000
χ6244-4-444004-4-44-4-44004-4-400000000000000000000000000000000000000000−222200−2222−2222000000000000000000000000
χ6344-4-4-2400-22-44-42-200-222000000i6−i6i6−i60000−2i32i3−2i32i300000000000i6−i6i6−i60000000022−2200−22−22000000000000000000000000
χ6444-4-4-2400-22-44-42-200-222000000i6−i6i6−i600002i3−2i32i3−2i300000000000i6−i6i6−i600000000−2222002−22−2000000000000000000000000
χ6544-4-4-2400-22-44-42-200-222000000−i6i6−i6i60000−2i32i3−2i32i300000000000−i6i6−i6i600000000−2222002−22−2000000000000000000000000
χ6644-4-4-2400-22-44-42-200-222000000−i6i6−i6i600002i3−2i32i3−2i300000000000−i6i6−i6i60000000022−2200−22−22000000000000000000000000
χ674-44-44400-444-4-4-4400-44-422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ684-44-44400-444-4-4-4400-44-4−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ694-44-44-200-44-222-4-2002-2222−22000022−22−222200000000000000000−22−222−2000000−2i32i300000000000000000000000i6−i60000000
χ704-44-44-200-44-222-4-2002-2222−22000022−22−222200000000000000000−22−222−20000002i3−2i300000000000000000000000−i6i60000000
χ714-44-44-200-44-222-4-2002-22−22220000−222222−22000000000000000002−22−2−22000000−2i32i300000000000000000000000−i6i60000000
χ724-44-44-200-44-222-4-2002-22−22220000−222222−22000000000000000002−22−2−220000002i3−2i300000000000000000000000i6−i60000000
χ734-44-4-24002-24-4-42-2002-2222−220000−222−20000−2i32i32i3−2i300000000022−22−222−2000000000000i6−i6−i6i6000000000000000000000000
χ744-44-4-24002-24-4-42-2002-2222−220000−222−200002i3−2i3−2i32i300000000022−22−222−2000000000000−i6i6i6−i6000000000000000000000000
χ754-44-4-24002-24-4-42-2002-22−222200002−2−220000−2i32i32i3−2i3000000000−22222−2−22000000000000−i6i6i6−i6000000000000000000000000
χ764-44-4-24002-24-4-42-2002-22−222200002−2−2200002i3−2i3−2i32i3000000000−22222−2−22000000000000i6−i6−i6i6000000000000000000000000
χ774-4-444-24-4-4-422-24-24-422-200-4-2240000000000000-224-4002-200000000000000000000000-22000000000000000000000
χ784-4-444-24-4-4-422-24-2-4422-200-4-22400000000000002-2-44002-2000000000000000000000002-2000000000000000000000
χ794-4-444-2-44-4-422-24-20022-20042-2-40000000000000000000-2200000000004-40000000000000000000-220000000000000
χ804-4-444-2-44-4-422-24-20022-20042-2-40000000000000000000-220000000000-4400000000000000000002-20000000000000
χ814-4-44-24-4422-4-44-2-20022-200-2-44200004-4-44-2-2220000000-2200000000000000002-20000000000000000000000000000
χ824-4-44-24-4422-4-44-2-20022-200-2-4420000-444-422-2-20000000-220000000000000000-220000000000000000000000000000
χ834-4-44-2-24-42222-2-214-4-1-11002-22-2−2i3−2i32i32i3000000000-22-22−2i32i3-1100i3i3−i3−i3000000000000000001-1i3−i30000000000000000000
χ844-4-44-2-24-42222-2-214-4-1-11002-22-22i32i3−2i3−2i3000000000-22-222i3−2i3-1100−i3−i3i3i3000000000000000001-1−i3i30000000000000000000
χ854-4-44-2-24-42222-2-21-44-1-11002-22-2−2i3−2i32i32i30000000002-22-22i3−2i3-1100i3i3−i3−i300000000000000000-11−i3i30000000000000000000
χ864-4-44-2-24-42222-2-21-44-1-11002-22-22i32i3−2i3−2i30000000002-22-2−2i32i3-1100−i3−i3i3i300000000000000000-11i3−i30000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-88-4008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-444-4442002-2-20000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ9088-8-8-4-400-444-4442002-2-2000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ918-88-8-4-4004-4-4444200-22-242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ928-88-8-4-4004-4-4444200-22-2−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000
χ938-8-88-4-4-884444-4-4200-2-2200-44-4400000000000000000002-20000000000000000000000000000000000000000000000

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