Finite Group Databasebeta

← Group #11886696

Character table — Group #11886696

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222224444444444444444444444444488888888888888888888812121212242424242424242424242424242436363636484848487272
order1223344662346666688121212121212121224242424242424246666812121212242424242424242424242424224424446666881212121224881212242448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111-1-111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1111-11-11-1-1-111111-11-1-1-1
χ611111111111111111-1-111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11111-1-111-1-1-1-1-1-1-1-11-1111
χ711111111111111111-1-111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1111-1-1-1-11-11-111
χ811111111111111111-1-111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-11-11-11111111-11-11-1-1
χ9111111111-11-111-1-11111-1-11111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-11-1-111-1-111-1-111-1-1-11
χ10111111111-11-111-1-11111-1-11111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-111-1-1111-1
χ11111111111-11-111-1-11111-1-11111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-11111-1-11-1
χ12111111111-11-111-1-11111-1-11111111111111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-11111-1-1-1-111-11
χ13111111111-11-111-1-11-1-11-1-111111-1-1-1-1-1-1-1-1-11-1-11-11-1-1-1-1-1-1111111111-11-1-111-11-1-1-1-111-11111-1-11-1-111-1
χ14111111111-11-111-1-11-1-11-1-111111-1-1-1-1-1-1-1-1-11-1-11-11-1-1-1-1-1-1111111111-11-1-11-111-1-1-11-11-111-1-111-111-1-11
χ15111111111-11-111-1-11-1-11-1-111111-1-1-1-1-1-1-1-1-11-1-11-11-1-1-1-1-1-111111111-11-111-11-1-1111-11-11-1-1-1-1111-1-11-11
χ16111111111-11-111-1-11-1-11-1-111111-1-1-1-1-1-1-1-1-11-1-11-11-1-1-1-1-1-111111111-11-111-1-11-11111-1-11-1-111-1-1-111-11-1
χ172222-1222-12-122-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122222200-1-1-1-100-1-1-1-10000000000
χ182222-1222-12-122-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2-2-20011110011110000000000
χ192222-1222-12-122-1-1-1-1-2-2-1-1-12-1-1-12-2-21111112-1-1-1-22-1-1-1-2111-2-21111112-22-22-200-1-1-1100-11110000000000
χ202222-1222-12-122-1-1-1-1-2-2-1-1-12-1-1-12-2-21111112-1-1-1-22-1-1-1-2111-2-2111111-22-22-2200111-1001-1-1-10000000000
χ212222-1222-1-2-1-22-111-122-1112-1-1-1222-1-1-1-1-1-1-2-111-2-2-1112-1-1-1-2-21111112222-2-200-111-100-1-1110000000000
χ222222-1222-1-2-1-22-111-122-1112-1-1-1222-1-1-1-1-1-1-2-111-2-2-1112-1-1-1-2-2111111-2-2-2-222001-1-110011-1-10000000000
χ232222-1222-1-2-1-22-111-1-2-2-1112-1-1-12-2-2111111-2-1112-2-111-211122-1-1-1-1-1-12-22-2-2200-111100-11-1-10000000000
χ242222-1222-1-2-1-22-111-1-2-2-1112-1-1-12-2-2111111-2-1112-2-111-211122-1-1-1-1-1-1-22-222-2001-1-1-1001-1110000000000
χ25222-1222-122-12-1222-122222-12-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-122-1-1-1-10000002200002200000000-1-1-1-100
χ26222-1222-122-12-1222-122222-12-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-12-1-1-1-122-1-1-1-1000000-2-20000-2-200000000111100
χ27222-1222-122-12-1222-1-2-2222-12-1-1-111-2-21111-1-1-1-1-2-1-1-1-11-21111-2-211110000002-200002-200000000-11-1100
χ28222-1222-122-12-1222-1-2-2222-12-1-1-111-2-21111-1-1-1-1-2-1-1-1-11-21111-2-21111000000-220000-22000000001-11-100
χ29222-1222-12-2-1-2-12-2-2-1222-2-2-12-1-1-1-1-122-1-1-1-11-111-21-111-12-1-111-2-21111000000220000-2-200000000-1-11100
χ30222-1222-12-2-1-2-12-2-2-1222-2-2-12-1-1-1-1-122-1-1-1-11-111-21-111-12-1-111-2-21111000000-2-20000220000000011-1-100
χ31222-1222-12-2-1-2-12-2-2-1-2-22-2-2-12-1-1-111-2-211111-11121-1111-211-1-122-1-1-1-10000002-20000-2200000000-111-100
χ32222-1222-12-2-1-2-12-2-2-1-2-22-2-2-12-1-1-111-2-211111-11121-1111-211-1-122-1-1-1-1000000-2200002-2000000001-1-1100
χ3322-2222-222020-2-20022-2-2002222-2222222220-20000-200-2-2-2-2000000002-2-220000200-200-22000000000000
χ3422-2222-222020-2-20022-2-2002222-2222222220-20000-200-2-2-2-200000000-222-20000-2002002-2000000000000
χ3522-2222-222020-2-2002-22-2002222-2-2-2-2-2-2-2-2-20-20000-20022220000000022-2-20000200200-2-2000000000000
χ3622-2222-222020-2-2002-22-2002222-2-2-2-2-2-2-2-2-20-20000-200222200000000-2-2220000-200-20022000000000000
χ3722-222-222222-2-2-2222002-2-2-2-2-2-22000000002-2220-22-2-20000000000000000000000000000002-22-2000000
χ3822-222-222222-2-2-2222002-2-2-2-2-2-22000000002-2220-22-2-2000000000000000000000000000000-22-22000000
χ3922-222-2222-222-2-2-2-2200222-2-2-2-2200000000-2-2-2-2022220000000000000000000000000000002-2-22000000
χ4022-222-2222-222-2-2-2-2200222-2-2-2-2200000000-2-2-2-202222000000000000000000000000000000-222-2000000
χ4122-22-12-22-10-10-21−i3i3-12-21−i3i32-1-1-1-222-1-1-1-1-1-101−i3i3001−i3i3-211100−i3i3−i3−i3i3i32-2-220000-1−i3i31001-1−i3i30000000000
χ4222-22-12-22-10-10-21−i3i3-12-21−i3i32-1-1-1-222-1-1-1-1-1-101−i3i3001−i3i3-211100−i3i3−i3−i3i3i3-222-200001i3−i3-100-11i3−i30000000000
χ4322-22-12-22-10-10-21−i3i3-1-221−i3i32-1-1-1-2-2-211111101−i3i3001−i3i32-1-1-100i3−i3i3i3−i3−i322-2-20000-1−i3i3-10011i3−i30000000000
χ4422-22-12-22-10-10-21−i3i3-1-221−i3i32-1-1-1-2-2-211111101−i3i3001−i3i32-1-1-100i3−i3i3i3−i3−i3-2-22200001i3−i3100-1-1−i3i30000000000
χ4522-22-12-22-10-10-21i3−i3-12-21i3−i32-1-1-1-222-1-1-1-1-1-101i3−i3001i3−i3-211100i3−i3i3i3−i3−i32-2-220000-1i3−i31001-1i3−i30000000000
χ4622-22-12-22-10-10-21i3−i3-12-21i3−i32-1-1-1-222-1-1-1-1-1-101i3−i3001i3−i3-211100i3−i3i3i3−i3−i3-222-200001−i3i3-100-11−i3i30000000000
χ4722-22-12-22-10-10-21i3−i3-1-221i3−i32-1-1-1-2-2-211111101i3−i3001i3−i32-1-1-100−i3i3−i3−i3i3i322-2-20000-1i3−i3-10011−i3i30000000000
χ4822-22-12-22-10-10-21i3−i3-1-221i3−i32-1-1-1-2-2-211111101i3−i3001i3−i32-1-1-100−i3i3−i3−i3i3i3-2-22200001−i3i3100-1-1i3−i30000000000
χ4944444-4-4440404400400-400-4-4-4-4-400000000040000-4000000000000000000000000000000000000000000
χ504444-2-4-44-20-204-2−2i32i3-20022i3−2i3-4222-4000000000-2−2i32i30022i3−2i30000000000000000000000000000000000000000
χ514444-2-4-44-20-204-22i3−2i3-2002−2i32i3-4222-4000000000-22i3−2i3002−2i32i30000000000000000000000000000000000000000
χ52444-24-4-4-240-20-2400-200-4002-4222000000000-20000200000023−230023−2323−230000000000000000000000000000
χ53444-24-4-4-240-20-2400-200-4002-4222000000000-200002000000−232300−2323−23230000000000000000000000000000
χ54444-2-244-2-2414-2-2-2-2144-2-2-2-2-211-2-2-2-2-21111-21114-2111-2-211-2-2-2-211110000000000000000000000000000
χ55444-2-244-2-2414-2-2-2-21-4-4-2-2-2-2-211-22222-1-1-1-1-2111-4-211122-1-12222-1-1-1-10000000000000000000000000000
χ56444-2-244-2-2-41-4-2-222144-222-2-211-2-2-2-2-2111121-1-1-421-1-1-2-2112222-1-1-1-10000000000000000000000000000
χ57444-2-244-2-2-41-4-2-2221-4-4-222-2-211-22222-1-1-1-121-1-1421-1-122-1-1-2-2-2-211110000000000000000000000000000
χ58444-2-2-4-4-2-2010-2-2−2i32i310022i3−2i322-1-1200003i3i−3i−3i01i3−i300-1−i3i3003i−3i23−2300−33−330000000000000000000000000000
χ59444-2-2-4-4-2-2010-2-2−2i32i310022i3−2i322-1-120000−3i−3i3i3i01i3−i300-1−i3i300−3i3i−2323003−33−30000000000000000000000000000
χ60444-2-2-4-4-2-2010-2-22i3−2i31002−2i32i322-1-1200003i3i−3i−3i01−i3i300-1i3−i3003i−3i−2323003−33−30000000000000000000000000000
χ61444-2-2-4-4-2-2010-2-22i3−2i31002−2i32i322-1-120000−3i−3i3i3i01−i3i300-1i3−i300−3i3i23−2300−33−330000000000000000000000000000
χ6244-44-2-444-24-2-4-42-2-2-200-222-422240000000042-2-20-4-2220000000000000000000000000000000000000000
χ6344-44-2-444-2-4-24-4222-200-2-2-2-4222400000000-422204-2-2-20000000000000000000000000000000000000000
χ6444-4-244-4-240-202-400-24-4-400-24-2-22-2-244-2-2-2-20200002002-422000000000000000000000000000000000000
χ6544-4-244-4-240-202-400-2-44-400-24-2-2222-4-42222020000200-24-2-2000000000000000000000000000000000000
χ6644-4-24-44-244-2-42-444-2004-4-42-422-200000000-22-2-202-2220000000000000000000000000000000000000000
χ6744-4-24-44-24-4-242-4-4-4-2004442-422-20000000022220-2-2-2-20000000000000000000000000000000000000000
χ6844-4-2-24-4-2-201022−2i32i314-42−2i32i3-2-2112-2-2-2-211110-1i3−i300-1i3−i322-1-100−2i32i3i3i3−i3−i30000000000000000000000000000
χ6944-4-2-24-4-2-201022−2i32i31-442−2i32i3-2-21122222-1-1-1-10-1i3−i300-1i3−i3-2-211002i3−2i3−i3−i3i3i30000000000000000000000000000
χ7044-4-2-24-4-2-2010222i3−2i314-422i3−2i3-2-2112-2-2-2-211110-1−i3i300-1−i3i322-1-1002i3−2i3−i3−i3i3i30000000000000000000000000000
χ7144-4-2-24-4-2-2010222i3−2i31-4422i3−2i3-2-21122222-1-1-1-10-1−i3i300-1−i3i3-2-21100−2i32i3i3i3−i3−i30000000000000000000000000000
χ7244-4-2-2-44-2-241-422-2-2100-22222-1-1-200003i3i−3i−3i-2-111021-1-100−3i3i0000−3i3i3i−3i0000000000000000000000000000
χ7344-4-2-2-44-2-241-422-2-2100-22222-1-1-20000−3i−3i3i3i-2-111021-1-1003i−3i00003i−3i−3i3i0000000000000000000000000000
χ7444-4-2-2-44-2-2-4142222100-2-2-222-1-1-200003i3i−3i−3i2-1-1-10-211100−3i3i00003i−3i−3i3i0000000000000000000000000000
χ7544-4-2-2-44-2-2-4142222100-2-2-222-1-1-20000−3i−3i3i3i2-1-1-10-2111003i−3i0000−3i3i3i−3i0000000000000000000000000000
χ768-808800-8-80800000-80000000000000000000000000000000000000000000000000000000000000000000
χ778-808-400-840-400000400000000000026−2626−2626−260000000000000000000000000000000000000000000000000
χ788-808-400-840-4000004000000000000−2626−2626−26260000000000000000000000000000000000000000000000000
χ798-80-48004-80-400000400000000002i6−2i6002i6−2i6−2i62i60000000000000000000000000000000000000000000000000
χ808-80-48004-80-40000040000000000−2i62i600−2i62i62i6−2i60000000000000000000000000000000000000000000000000
χ818-80-4-400440200000-200000006i−6i02i6−2i626−26−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000000000000000000000000000000000000000000000000
χ828-80-4-400440200000-200000006i−6i0−2i62i6−26262ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000000000000000000000000000000000000000000000000
χ838-80-4-400440200000-20000000−6i6i02i6−2i6−2626−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000000000000000000000000000000000000000000000000
χ848-80-4-400440200000-20000000−6i6i0−2i62i626−262ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.