Finite Group Databasebeta

← Group #11864194

Character table — Group #11864194

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order1222334466666622366612121212224444466668121212122424242424242424244446612121212661212122244688121212121212242424242241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-11-1-11111-1-1-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-111-1-111-1-11111111-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-1-11-1-111-1-111-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-111-1-111-1-111111-1-11-11-1111-1-1-1-111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-11111-1-1-111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-1-1-1-1-1111-111-1-111-1-111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-111-1-1-1-11111111111-1-1
χ911111111111111-1-1111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1
χ1011111111111111-1-111111111111111-1-1-1-1-11-1-111111111111-1-1-1-1111111-1-1-1-1-111-1-1111-1-1-1-1-1-11111-1-11-1-11
χ1111111111111111-1-1111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-11-1-1111-1-11111-1-111-1-1-11
χ1211111111111111-1-1111111111111-1-1-1-1-1-1-11-1-11111111111-1-1-11111-1-111-1-1-1-1-1-1-11-1-11-111-1-1-1-1-1-11111-111-1
χ1311111111111111-1-111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111-1-11-111-1-1-111-1-1-1-11111-11-11
χ1411111111111111-1-111111111-1-1-1-111-1-1-1-1-11-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1111111-1-111-1-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1111111-1-11111-1-11-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-222-2-22200000000-2-200000000-200002222-2-200000-2-200-2000000000000002000
χ18222222-2-2222222002222-2-2-2-222-2-2-2-200000000-2-2000000002000022-2-2-2-2000002200200000000000000-2000
χ19222222-2-2222222002222-2-2-2-2-2-2222200000000-2-200000000-20000-2-22222000002200-200000000000000-2000
χ20222222-2-2222222002222-2-2-2-2-2-222-2-200000000-2-20000000020000-2-2-2-22200000-2-2002000000000000002000
χ2122222-12222-1-1-1222-1-1-1-12-1-12000022222-1-1222-1-1-1-122-1-1-1-12002200-1-100-1-1-1-1-10020-102-1-10000-1-100000-100
χ2222222-12222-1-1-1222-1-1-1-12-1-12000022-222-1-1-2-2-2-1-111-2-211112002200-1-100-1-111100-20-10-2-1-100001100000100
χ2322222-12222-1-1-1222-1-1-1-12-1-120000-2-2222-1-1222-1-1-1-122-1-1-1-1-200-2-2001100-1-1-1-1-100-2010-21100001100000100
χ2422222-12222-1-1-1222-1-1-1-12-1-120000-2-2-222-1-1-2-2-2-1-111-2-21111-200-2-2001100-1-11110020102110000-1-100000-100
χ2522222-12222-1-1-12-2-2-1-1-1-12-1-120000222-2-211-222-1-111-2-21111200-2-200-1-10011-1-1-10020-10-21100001100000-100
χ2622222-12222-1-1-12-2-2-1-1-1-12-1-12000022-2-2-2112-2-2-1-1-1-122-1-1-1-1200-2-200-1-1001111100-20-102110000-1-100000100
χ2722222-12222-1-1-12-2-2-1-1-1-12-1-120000-2-22-2-211-222-1-111-2-21111-2002200110011-1-1-100-20102-1-10000-1-100000100
χ2822222-12222-1-1-12-2-2-1-1-1-12-1-120000-2-2-2-2-2112-2-2-1-1-1-122-1-1-1-1-2002200110011111002010-2-1-100001100000-100
χ292222-1222-1-1222-122-1-1-1-1-122-12222002-1-1222-1-1-1-122-1-1-1-1-1-102200-1-100-1-1-1-12-1-1000202000-1-1-1-100-1-1000000
χ302222-1222-1-1222-122-1-1-1-1-122-1222200-2-1-122-211-1-1-2-211111102200-1-100-1-1-1-1-211000-20-2000-1-1110011000000
χ312222-1222-1-1222-122-1-1-1-1-122-1-2-2-2-2002-1-1222-1-1-1-122-1-1-1-1-1-10-2-200110011-1-12-1-1000-20-200011110011000000
χ322222-1222-1-1222-122-1-1-1-1-122-1-2-2-2-200-2-1-122-211-1-1-2-21111110-2-200110011-1-1-21100020200011-1-100-1-1000000
χ332222-1222-1-1222-1-2-2-1-1-1-1-122-1222200211-2-2-2-1-1-1-1-2-21111110-2-200-1-100-1-1112-1-100020-200011-1-10011000000
χ342222-1222-1-1222-1-2-2-1-1-1-1-122-1222200-211-2-2211-1-122-1-1-1-1-1-10-2-200-1-100-1-111-211000-202000111100-1-1000000
χ352222-1222-1-1222-1-2-2-1-1-1-1-122-1-2-2-2-200211-2-2-2-1-1-1-1-2-211111102200110011112-1-1000-202000-1-11100-1-1000000
χ362222-1222-1-1222-1-2-2-1-1-1-1-122-1-2-2-2-200-211-2-2211-1-122-1-1-1-1-1-10220011001111-21100020-2000-1-1-1-10011000000
χ372-2-22222-2-2-2-2-2222-22-2-22-22-222-22-20002-22-2000-220000000002-2002-2002-22-20000000000002-2000000000000
χ382-2-22222-2-2-2-2-2222-22-2-22-22-22-22-220002-22-2000-22000000000-2200-2200-222-2000000000000-22000000000000
χ392-2-22222-2-2-2-2-222-222-2-22-22-222-22-2000-22-22000-22000000000-22002-2002-2-22000000000000-22000000000000
χ402-2-22222-2-2-2-2-222-222-2-22-22-22-22-22000-22-22000-220000000002-200-2200-22-220000000000002-2000000000000
χ412-2-2222-22-2-2-2-222002-2-222-22-22-2-2200000000002-2000000000002-22-200-220000000000002-2000000002-20000
χ422-2-2222-22-2-2-2-222002-2-222-22-22-2-2200000000002-200000000000-222-200-22000000000000-2200000000-220000
χ432-2-2222-22-2-2-2-222002-2-222-22-2-222-200000000002-2000000000002-2-22002-20000000000002-200000000-220000
χ442-2-2222-22-2-2-2-222002-2-222-22-2-222-200000000002-200000000000-22-22002-2000000000000-22000000002-20000
χ452-2-22-122-211-2-22-12-2-111-112-2-12-22-2000-112-20−i3i31-100−i3i3−i3−i3i3i302-200-1100-11-110−i3i3000000000-11−i3i300−i3i3000000
χ462-2-22-122-211-2-22-12-2-111-112-2-12-22-2000-112-20i3−i31-100i3−i3i3i3−i3−i302-200-1100-11-110i3−i3000000000-11i3−i300i3−i3000000
χ472-2-22-122-211-2-22-12-2-111-112-2-1-22-22000-112-20−i3i31-100−i3i3−i3−i3i3i30-22001-1001-1-110−i3i30000000001-1i3−i300i3−i3000000
χ482-2-22-122-211-2-22-12-2-111-112-2-1-22-22000-112-20i3−i31-100i3−i3i3i3−i3−i30-22001-1001-1-110i3−i30000000001-1−i3i300−i3i3000000
χ492-2-22-122-211-2-22-1-22-111-112-2-12-22-20001-1-220−i3i31-100i3−i3i3i3−i3−i30-2200-1100-111-10−i3i30000000001-1−i3i300i3−i3000000
χ502-2-22-122-211-2-22-1-22-111-112-2-12-22-20001-1-220i3−i31-100−i3i3−i3−i3i3i30-2200-1100-111-10i3−i30000000001-1i3−i300−i3i3000000
χ512-2-22-122-211-2-22-1-22-111-112-2-1-22-220001-1-220−i3i31-100i3−i3i3i3−i3−i302-2001-1001-11-10−i3i3000000000-11i3−i300−i3i3000000
χ522-2-22-122-211-2-22-1-22-111-112-2-1-22-220001-1-220i3−i31-100−i3i3−i3−i3i3i302-2001-1001-11-10i3−i3000000000-11−i3i300i3−i3000000
χ5344444-2-4-444-2-2-2400-2-2-2-2-422-4000044000000002200000000-4000000-2-2000000000002000000000000000000
χ5444444-2-4-444-2-2-2400-2-2-2-2-422-40000-4-400000000220000000040000002200000000000-2000000000000000000
χ554444-24-4-4-2-2444-200-2-2-2-22-4-4244-4-40000000000220000000000000-2-200220000000000000000000000000000
χ564444-24-4-4-2-2444-200-2-2-2-22-4-42-4-44400000000002200000000000002200-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-20000004-2-2-2-24-2-211-2-2-2-211110000000000011-21100000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-2000000-4-2-2-2-2-422112222-1-1-1-100000000000112-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200000042222-4-2-2112222-1-1-1-100000000000-1-1-21100000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000000-4222242211-2-2-2-2111100000000000-1-12-1-100000000000000000000000
χ6144-4-444004-44-4-4-40044-4-4000000000000000000000000000000000000000000004-4000000000000000000000
χ6244-4-444004-44-4-4-40044-4-400000000000000000000000000000000000000000000-44000000000000000000000
χ634-44-44400-44-44-4-4004-44-4000000004i−4i00000000000000000000000004i−4i000000000000000000000000000000
χ644-44-44400-44-44-4-4004-44-400000000−4i4i0000000000000000000000000−4i4i000000000000000000000000000000
χ654-44-44-200-442-22-400-22-22000000004i−4i00000000006−6006−66−60000000−2i2i00000000000000000000i6−i600000000
χ664-44-44-200-442-22-400-22-22000000004i−4i0000000000−6600−66−660000000−2i2i00000000000000000000−i6i600000000
χ674-44-44-200-442-22-400-22-2200000000−4i4i00000000006−6006−66−600000002i−2i00000000000000000000−i6i600000000
χ684-44-44-200-442-22-400-22-2200000000−4i4i0000000000−6600−66−6600000002i−2i00000000000000000000i6−i600000000
χ694-4-444-24-4-4-422-244-4-222-2-4-22400000004-4-220002-20000000000000000000-2200000000000000000000000000
χ704-4-444-24-4-4-422-24-44-222-2-4-2240000000-442-20002-200000000000000000002-200000000000000000000000000
χ714-4-444-2-44-4-422-2400-222-242-2-400000000000000-22000000000004-4000000000000000000-2200000000000000
χ724-4-444-2-44-4-422-2400-222-242-2-400000000000000-2200000000000-440000000000000000002-200000000000000
χ734-4-44-24-4422-4-44-200-222-2-2-4424-4-440000000000-220000000000000-22002-20000000000000000000000000000
χ744-4-44-24-4422-4-44-200-222-2-2-442-444-40000000000-2200000000000002-200-220000000000000000000000000000
χ754-4-44-2-24-42222-2-24-41-1-112-22-20000000-22-220−2i32i3-1100−2i32i3i3i3−i3−i3000000000001-10i3−i300000000000000000000000
χ764-4-44-2-24-42222-2-24-41-1-112-22-20000000-22-2202i3−2i3-11002i3−2i3−i3−i3i3i3000000000001-10−i3i300000000000000000000000
χ774-4-44-2-24-42222-2-2-441-1-112-22-200000002-22-20−2i32i3-11002i3−2i3−i3−i3i3i300000000000-110i3−i300000000000000000000000
χ784-4-44-2-24-42222-2-2-441-1-112-22-200000002-22-202i3−2i3-1100−2i32i3i3i3−i3−i300000000000-110−i3i300000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4002222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-4008-8-444-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-448-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-44440022-2-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ8388-8-8-4-400-44-44440022-2-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ848-88-8-48004-4-88-8400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-444002-22-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ868-88-8-4-4004-44-444002-22-200000000000000000000−2626006−66−6000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-4002-2-22-44-44000000000000002-200000000000000000000000000000000000000000000000

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