Finite Group Databasebeta

← Group #11884635

Character table — Group #11884635

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order1222334466666634466688121212122424242444121212124121212121212121224242424242422244668812122424242412121212122446666812121224242412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-111-1-1-1-111111-111-1-1-1-1111111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-111-1-11111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-111-1-111-111-1-1-1111-1-111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1111111-111-1-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11-1111-1-11-1-1-111-1-111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-111111111-111-1-1-11-1-1-111-1111-1-1-1-1-11-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-1-1-1-11-1-1111-1-1-111111-11-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-111-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-11111111-1-111-1-1-1-11-1-111-1-11-1-111-11-1-1-1-11111-1-1
χ14111111111111111-1-1111-1-11111-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11-1-111-11-1-1-1111-11111-1-1-1-111
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1111111111-1-1111-1111-1-1-11-1-1-1-1-1-11-111
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-111-1-11-1111111-11-1-1
χ17222222-2-222222220022200-2-2-2-200002222220000000-2-2000000-2002-2-2-2002200000000000000000-200002-20000
χ18222222-2-222222220022200-2-2-2-200002222220000000-2-2000000-200-22-2-200-2-20000000000000000020000-220000
χ19222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000002002-222002200000000000000000-20000-220000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000200-222200-2-200000000000000000200002-20000
χ2122222-122-1-12-122-122-1-1-122-12-12-1-1-1-122-1-1-1-12-1-1-1-122-1-122-1-1-1-122200-1-12200-1-1-1-12-1-1-1-1200-1-1-1-1000000000000
χ2222222-122-1-12-122-122-1-1-122-12-12-1-1-1-1-2-211112-1-1-1-122-1-122-1-1-1-1-2-2-20011-2-20011112-1-1-1-1-2001111000000000000
χ2322222-122-1-12-122-122-1-1-1-2-2-12-12111122-1-1-1-1-2-1-11122-1-1-2-211112-2-200-1-1-2-2001111-2-1-111200-1-111000000000000
χ2422222-122-1-12-122-122-1-1-1-2-2-12-121111-2-21111-2-1-11122-1-1-2-21111-22200112200-1-1-1-1-2-1-111-20011-1-1000000000000
χ2522222-122-1-12-122-1-2-2-1-1-122-12-12-1-1-1-122-1-1-1-1-21111-2-2-1-122-1-1-1-12-2-200-1-12200-1-1-1-1-21111-2001111000000000000
χ2622222-122-1-12-122-1-2-2-1-1-122-12-12-1-1-1-1-2-21111-21111-2-2-1-122-1-1-1-1-2220011-2-2001111-21111200-1-1-1-1000000000000
χ2722222-122-1-12-122-1-2-2-1-1-1-2-2-12-12111122-1-1-1-1211-1-1-2-2-1-1-2-2111122200-1-1-2-2001111211-1-1-20011-1-1000000000000
χ2822222-122-1-12-122-1-2-2-1-1-1-2-2-12-121111-2-21111211-1-1-2-2-1-1-2-21111-2-2-200112200-1-1-1-1211-1-1200-1-111000000000000
χ292222-122222-12-1-1-122-1-1-1222-12-1222200000022222-1-1-1-1-1-1-1-1-1-1000220000-1-10000-1-1-1-1-102200002-1-1-1-1-100-1000
χ302222-122222-12-1-1-122-1-1-1222-12-1222200000022222-1-1-1-1-1-1-1-1-1-1000-2-20000110000-1-1-1-1-10-2-20000-211111001000
χ312222-122222-12-1-1-122-1-1-1-2-22-12-1-2-2-2-2000000-222-2-2-1-1-1-1111111000220000-1-100001-1-11102-20000-2-1-1-111001000
χ322222-122222-12-1-1-122-1-1-1-2-22-12-1-2-2-2-2000000-222-2-2-1-1-1-1111111000-2-200001100001-1-1110-2200002111-1-100-1000
χ332222-122222-12-1-1-1-2-2-1-1-1222-12-12222000000-2-2-2-2-211-1-1-1-1-1-1-1-1000220000-1-10000111110-2-200002-111-1-1001000
χ342222-122222-12-1-1-1-2-2-1-1-1222-12-12222000000-2-2-2-2-211-1-1-1-1-1-1-1-1000-2-20000110000111110220000-21-1-11100-1000
χ352222-122222-12-1-1-1-2-2-1-1-1-2-22-12-1-2-2-2-20000002-2-22211-1-1111111000220000-1-10000-111-1-10-220000-2-1111100-1000
χ362222-122222-12-1-1-1-2-2-1-1-1-2-22-12-1-2-2-2-20000002-2-22211-1-1111111000-2-20000110000-111-1-102-2000021-1-1-1-1001000
χ372-2-22222-2-2-2-22-2222-2-2-2200-2-222000000000002-2002-2-2200000002-200002-20022-2-202-200000002-2000000000000
χ382-2-22222-2-2-2-22-2222-2-2-2200-2-222000000000002-2002-2-220000000-220000-2200-2-22202-20000000-22000000000000
χ392-2-22222-2-2-2-22-222-22-2-2200-2-22200000000000-2200-22-2200000002-20000-2200-2-2220-2200000002-2000000000000
χ402-2-22222-2-2-2-22-222-22-2-2200-2-22200000000000-2200-22-220000000-2200002-20022-2-20-220000000-22000000000000
χ412-2-222-12-211-2-1-22-12-211-1001-2-12−i3−i3i3i300−i3−i3i3i30-11−i3i32-21-100−i3−i3i3i302-200−i3i32-200-1-1110-11−i3i3000−i3i3-11000000000000
χ422-2-222-12-211-2-1-22-12-211-1001-2-12−i3−i3i3i300i3i3−i3−i30-11−i3i32-21-100−i3−i3i3i30-2200i3−i3-220011-1-10-11−i3i3000i3−i31-1000000000000
χ432-2-222-12-211-2-1-22-12-211-1001-2-12i3i3−i3−i300−i3−i3i3i30-11i3−i32-21-100i3i3−i3−i30-2200−i3i3-220011-1-10-11i3−i3000−i3i31-1000000000000
χ442-2-222-12-211-2-1-22-12-211-1001-2-12i3i3−i3−i300i3i3−i3−i30-11i3−i32-21-100i3i3−i3−i302-200i3−i32-200-1-1110-11i3−i3000i3−i3-11000000000000
χ452-2-222-12-211-2-1-22-1-2211-1001-2-12−i3−i3i3i300−i3−i3i3i301-1i3−i3-221-100−i3−i3i3i30-2200−i3i32-200-1-11101-1i3−i3000i3−i31-1000000000000
χ462-2-222-12-211-2-1-22-1-2211-1001-2-12−i3−i3i3i300i3i3−i3−i301-1i3−i3-221-100−i3−i3i3i302-200i3−i3-220011-1-101-1i3−i3000−i3i3-11000000000000
χ472-2-222-12-211-2-1-22-1-2211-1001-2-12i3i3−i3−i300−i3−i3i3i301-1−i3i3-221-100i3i3−i3−i302-200−i3i3-220011-1-101-1−i3i3000i3−i3-11000000000000
χ482-2-222-12-211-2-1-22-1-2211-1001-2-12i3i3−i3−i300i3i3−i3−i301-1−i3i3-221-100i3i3−i3−i30-2200i3−i32-200-1-11101-1−i3i3000−i3i31-1000000000000
χ4944444-2-4-4-2-24-244-200-2-2-2002-42-4000044-2-2-2-2000000022000000-400002200000000000000000000000000000000
χ5044444-2-4-4-2-24-244-200-2-2-2002-42-40000-4-4222200000002200000040000-2-200000000000000000000000000000000
χ514444-24-4-444-24-2-2-200-2-2-200-42-4200000000000000000220000000004-40000-2-20000000000000000020000000000
χ524444-24-4-444-24-2-2-200-2-2-200-42-420000000000000000022000000000-4400002200000000000000000-20000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-21111000000000000000-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000-4-2-222-2-21122-1-1-1-1000000000000000211-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000-422222211-2-211110000000000000002-1-1-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000422-2-2221122-1-1-1-1000000000000000-2-1-1110000000000000000000
χ5744-4-444004-44-4-4-44004-4-422−22000022−2222−2200000000000000022−2222−2222−22000000000000000000000000000000000000000
χ5844-4-444004-44-4-4-44004-4-4−22220000−2222−2222000000000000000−2222−2222−2222000000000000000000000000000000000000000
χ5944-4-44-200-2242-4-4-200-22222−220000−22−220023−2323−2300000000022−22−22−22000000000006−66−6000000000000000000000000
χ6044-4-44-200-2242-4-4-200-22222−220000−22−2200−2323−232300000000022−22−22−2200000000000−66−66000000000000000000000000
χ6144-4-44-200-2242-4-4-200-222−222200002−22−20023−2323−23000000000−22222−22−200000000000−66−66000000000000000000000000
χ6244-4-44-200-2242-4-4-200-222−222200002−22−200−2323−2323000000000−22222−22−2000000000006−66−6000000000000000000000000
χ6344-4-4-24004-4-2-422-200-22222−22000022−2222−22000000000000000−22−22−22000000000−2i32i300000000000000000000i6−i6000000
χ6444-4-4-24004-4-2-422-200-22222−22000022−2222−22000000000000000−22−22−220000000002i3−2i300000000000000000000−i6i6000000
χ6544-4-4-24004-4-2-422-200-222−22220000−2222−22220000000000000002−22−22−2000000000−2i32i300000000000000000000−i6i6000000
χ6644-4-4-24004-4-2-422-200-222−22220000−2222−22220000000000000002−22−22−20000000002i3−2i300000000000000000000i6−i6000000
χ674-44-44400-44-4-44-4400-44-400000000004i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ684-44-44400-44-4-44-4400-44-40000000000−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ694-44-44-2002-2-424-4-2002-22000000i6−i6−i6i64i−4i−2i2i2i−2i00000000000i6−i6−i6i600000000000−666−6000000000000000000000000
χ704-44-44-2002-2-424-4-2002-22000000i6−i6−i6i6−4i4i2i−2i−2i2i00000000000i6−i6−i6i6000000000006−6−66000000000000000000000000
χ714-44-44-2002-2-424-4-2002-22000000−i6i6i6−i64i−4i−2i2i2i−2i00000000000−i6i6i6−i6000000000006−6−66000000000000000000000000
χ724-44-44-2002-2-424-4-2002-22000000−i6i6i6−i6−4i4i2i−2i−2i2i00000000000−i6i6i6−i600000000000−666−6000000000000000000000000
χ734-4-4444-44-4-4-44-44400-4-440044-4-4000000000000000004-4000000000000000000000000000000000000000000000
χ744-4-444-2-4422-4-2-44-20022-200-242-4000000−2i3−2i32i32i30000000-22000000000002i3−2i300000000000000000000000000000000
χ754-4-444-2-4422-4-2-44-20022-200-242-40000002i32i3−2i3−2i30000000-2200000000000−2i32i300000000000000000000000000000000
χ764-4-44-244-4-4-4242-2-24-422-200-424-2000000000004-400-222-20000000000000000000000-22000000000000000000000
χ774-4-44-244-4-4-4242-2-2-4422-200-424-200000000000-44002-22-200000000000000000000002-2000000000000000000000
χ784-4-44-24-44-4-4242-2-20022-2004-2-4200000000000000000-220000000000000000000000000000000000023−2300000000
χ794-4-44-24-44-4-4242-2-20022-2004-2-4200000000000000000-2200000000000000000000000000000000000−232300000000
χ804-4-44-2-24-4222-22-214-4-1-110022-2-2−2i3−2i32i32i30000000-22−2i32i3-22-1100i3i3−i3−i300000000000000001-1i3−i30000000000000000000
χ814-4-44-2-24-4222-22-214-4-1-110022-2-22i32i3−2i3−2i30000000-222i3−2i3-22-1100−i3−i3i3i300000000000000001-1−i3i30000000000000000000
χ824-4-44-2-24-4222-22-21-44-1-110022-2-2−2i3−2i32i32i300000002-22i3−2i32-2-1100i3i3−i3−i30000000000000000-11−i3i30000000000000000000
χ834-4-44-2-24-4222-22-21-44-1-110022-2-22i32i3−2i3−2i300000002-2−2i32i32-2-1100−i3−i3i3i30000000000000000-11i3−i30000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44-44442002-2-242−420000−2222−2222000000000000000−22222−22−2000000000000000000000000000000000000000
χ8688-8-8-4-400-44-44442002-2-2−4242000022−2222−2200000000000000022−22−22−22000000000000000000000000000000000000000
χ878-88-8-4800-884-8-44-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004-444-44200-22-20000002i6−2i6−2i62i600000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ898-88-8-4-4004-444-44200-22-2000000−2i62i62i6−2i600000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ908-8-88-4-4-88444-44-4200-2-2200-4-444000000000000000002-2000000000000000000000000000000000000000000000

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