Finite Group Databasebeta

← Group #11886632

Character table — Group #11886632

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222224444444444888888888888812121212121212121212121212121212161616161616161624242424242424242424242436364848727272
order12233446623466612121212266666812121212242422446688881212242424246666122424242266688122424242424624448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1111111111-1111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-11-1-1-111-1-1111-1-111-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ51111111111111111111-111-1-11-11111-1-11-11-111-1-11111-1-111-11-1-11-1-1-11-111-1-11-1-111111-1-11-1-1
χ61111111111111111111-111-1-11-11111-1-11-11-111-1-1-1-111-1-1-1-1-11-1-11-1-1-11111-11-1-1-1-1-1-1-1-111-111
χ71111111111111111111-111-1-11-11111-1-1-11-11-1-11111-1-11111-11-1-11-1-1-1-1-1-1-11-1111111-1-1-1-1-111
χ81111111111111111111-111-1-11-11111-1-1-11-11-1-111-1-1-1-111-1-1-11-1-11-1-1-1-11-1-111-111-1-1-111111-1-1
χ9111111111-11-111111111-1-1111-1-1-111-1-1111111-1-11111-1-1111-111-1-1-1-1-11-1-11-1-11-11-1-1111-1-1-11
χ10111111111-11-111111111-1-1111-1-1-111-1-1111111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1
χ11111111111-11-111111111-1-1111-1-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-11111-1-1-1-111-1-1-1-11-111-1
χ12111111111-11-111111111-1-1111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-1-1-1-11-111-111-11-11111-11-1-11
χ13111111111-11-11111111-1-1-1-1-111-1-111111-11-1111111111111-1-1-1-1-1111-1-1-1-1-11-1-111-1-111-11-11-1
χ14111111111-11-11111111-1-1-1-1-111-1-111111-11-11111-1-11111-1-1-1-1-1-1-1111-11-1-1-1-11-11-111-1-11-11-11
χ15111111111-11-11111111-1-1-1-1-111-1-11111-11-11-1-1-1-111-1-1-1-111-1-1-1-1-11111-11111-11-11-1-1-1-1-111-11
χ16111111111-11-11111111-1-1-1-1-111-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111111-1-11-1
χ172222-1222-12-122-1-1-12-1222-1-1-1-122-1-1-1-1-12222-1-12200-1-1-1-1002-1-1-1-12-1-120-1-1-100-1-10000000000
χ182222-1222-12-122-1-1-12-1222-1-1-1-122-1-1-1-1-1-2-2-2-211-2-2001111002-1-1-1-12-1-1-2011100110000000000
χ192222-1222-12-122-1-1-12-12-22-111-1-22-1-1-1112-22-2-1-1-2-200-1-11100-2-111-1-21120-1-1100110000000000
χ202222-1222-12-122-1-1-12-12-22-111-1-22-1-1-111-22-2211220011-1-100-2-111-1-211-2011-100-1-10000000000
χ212222-1222-1-2-1-22-1-1-12-122-21-1-1-1-2-21-1-1112222-1-1-2-200-1-1110021-1-11-211-2011-100-110000000000
χ222222-1222-1-2-1-22-1-1-12-122-21-1-1-1-2-21-1-111-2-2-2-211220011-1-10021-1-11-21120-1-11001-10000000000
χ232222-1222-1-2-1-22-1-1-12-12-2-2111-12-21-1-1-1-12-22-2-1-12200-1-1-1-100-211112-1-1-20111001-10000000000
χ242222-1222-1-2-1-22-1-1-12-12-2-2111-12-21-1-1-1-1-22-2211-2-200111100-211112-1-120-1-1-100-110000000000
χ25222-1222-122-12-12-12-12-12-1222-12-12-1-12200000000220000-1-1-1-1-1-1-1-1-1-1020002200-1-1-100-1-1000
χ26222-1222-122-12-12-12-12-12-1222-12-12-1-12200000000-2-2000011-1-1-1-1-1-1-1-10-2000-2-2001110011000
χ27222-1222-122-12-12-12-12-1-2-12-2-2-1-2-12-1-1-2-200000000220000-1-11-111-11110-2000-2200-1-1-10011000
χ28222-1222-122-12-12-12-12-1-2-12-2-2-1-2-12-1-1-2-200000000-2-20000111-111-1111020002-20011100-1-1000
χ29222-1222-12-2-1-2-12-12-12-121-222-1-21-2-1-1-2-200000000220000-1-1-11-1-1111102000-2-200-11100-11000
χ30222-1222-12-2-1-2-12-12-12-121-222-1-21-2-1-1-2-200000000-2-2000011-11-1-111110-200022001-1-1001-1000
χ31222-1222-12-2-1-2-12-12-12-1-21-2-2-2-121-2-1-12200000000220000-1-111111-1-1-10-20002-200-111001-1000
χ32222-1222-12-2-1-2-12-12-12-1-21-2-2-2-121-2-1-12200000000-2-200001111111-1-1-102000-22001-1-100-11000
χ3322-2222-22222-2-2-22-222-202200-20-2-2-2200020-2002-2000022000200-20000000200-2-20000000000
χ3422-2222-22222-2-2-22-222-202200-20-2-2-22000-20200-220000-2-2000200-20000000-200220000000000
χ3522-2222-222-222-2-22-222-20-2-200-2022-2200020-200-220000-2-2000-20020000000200-220000000000
χ3622-2222-222-222-2-22-222-20-2-200-2022-22000-202002-2000022000-20020000000-2002-20000000000
χ3722-222-2222020-2-222-2-2200000-20002-20020-2022002-2-2-2002200000000000000000-200-2200000
χ3822-222-2222020-2-222-2-2200000-20002-20020-202200-22-2-200-2-2000000000000000002002-200000
χ3922-222-2222020-2-222-2-2200000-20002-200-2020-2-2002-222002200000000000000000-2002-200000
χ4022-222-2222020-2-222-2-2200000-20002-200-2020-2-200-222200-2-200000000000000000200-2200000
χ4122-22-12-22-12-1-2-21-112-1-202-1−i3i310-211-1−i3i3020-2−i3i32-200−i3i3-1-1000-1−i3i310−i3i300−i3i3-100110000000000
χ4222-22-12-22-12-1-2-21-112-1-202-1−i3i310-211-1−i3i30-202i3−i3-2200i3−i311000-1−i3i310−i3i300i3−i3100-1-10000000000
χ4322-22-12-22-12-1-2-21-112-1-202-1i3−i310-211-1i3−i3020-2i3−i32-200i3−i3-1-1000-1i3−i310i3−i300i3−i3-100110000000000
χ4422-22-12-22-12-1-2-21-112-1-202-1i3−i310-211-1i3−i30-202−i3i3-2200−i3i311000-1i3−i310i3−i300−i3i3100-1-10000000000
χ4522-22-12-22-1-2-12-21-112-1-20-21−i3i3102-11-1i3−i3020-2−i3i3-2200−i3i3110001−i3i3-10i3−i300i3−i3-1001-10000000000
χ4622-22-12-22-1-2-12-21-112-1-20-21−i3i3102-11-1i3−i30-202i3−i32-200i3−i3-1-10001−i3i3-10i3−i300−i3i3100-110000000000
χ4722-22-12-22-1-2-12-21-112-1-20-21i3−i3102-11-1−i3i3020-2i3−i3-2200i3−i3110001i3−i3-10−i3i300−i3i3-1001-10000000000
χ4822-22-12-22-1-2-12-21-112-1-20-21i3−i3102-11-1−i3i30-202−i3i32-200−i3i3-1-10001i3−i3-10−i3i300i3−i3100-110000000000
χ4944444-4-444040444-4-4-4-4000004000-4-4000000000000000000000000000000000000000000000
χ504444-2-4-44-20-204-2-22-42-400000-200022000000−2i32i300002i3−2i30000000000000000000000000000000
χ514444-2-4-44-20-204-2-22-42-400000-2000220000002i3−2i30000−2i32i30000000000000000000000000000000
χ52444-24-4-4-240-20-24-2-42-4200000-20002200000000000000000000000000000000000023−230000000
χ53444-24-4-4-240-20-24-2-42-4200000-200022000000000000000000000000000000000000−23230000000
χ54444-2-244-2-2414-2-21-2-2-2-24-2-2-2-214-2-211-2-20000000000000000-21111-2110000000000000000000
χ55444-2-244-2-2414-2-21-2-2-2-2-4-2-2221-4-2-21122000000000000000021-1-112-1-10000000000000000000
χ56444-2-244-2-2-41-4-2-21-2-2-2-2422-2-21-42211220000000000000000-2-111-12-1-10000000000000000000
χ57444-2-244-2-2-41-4-2-21-2-2-2-2-42222142211-2-200000000000000002-1-1-1-1-2110000000000000000000
χ5844-44-2-444-20-20-42-2-2-424000002000-220040-40-2-20000220000000000000000000000000000000
χ5944-44-2-444-20-20-42-2-2-424000002000-2200-4040220000-2-20000000000000000000000000000000
χ6044-4-244-4-244-2-42-4-2-4-2420-2400202-42-20000000000000000000-20020000000000000000000000
χ6144-4-244-4-24-4-242-4-2-4-24202-40020-242-20000000000000000000200-20000000000000000000000
χ6244-4-24-44-240-202-4-242-4-2000002000-2200000000004-40000-2-2000000000000000002000000000
χ6344-4-24-44-240-202-4-242-4-2000002000-220000000000-4400002200000000000000000-2000000000
χ6444-4-2-24-4-2-241-42212-2-220-2-2−2i32i3-1022-11−2i32i3000000000000000001i3−i3-10i3−i30000000000000000000
χ6544-4-2-24-4-2-241-42212-2-220-2-22i3−2i3-1022-112i3−2i3000000000000000001−i3i3-10−i3i30000000000000000000
χ6644-4-2-24-4-2-2-4142212-2-22022−2i32i3-10-2-2-112i3−2i300000000000000000-1i3−i310−i3i30000000000000000000
χ6744-4-2-24-4-2-2-4142212-2-220222i3−2i3-10-2-2-11−2i32i300000000000000000-1−i3i310i3−i30000000000000000000
χ68888-4-4-8-8-4-4020-4-424444000002000-2-2000000000000000000000000000000000000000000000
χ6988-8-4-4-88-4-4020442-444-400000-20002-2000000000000000000000000000000000000000000000
χ708-808800-8-808000-8000000000000000000000000000000000000000000000000000000000000
χ718-808-400-840-40004000000000000000000000000000002i6−2i600000000000000000000000000000
χ728-808-400-840-4000400000000000000000000000000000−2i62i600000000000000000000000000000
χ738-80-48004-80-4000400000000000000000000000000000002i6−2i6000000000000000000000000000
χ748-80-48004-80-400040000000000000000000000000000000−2i62i6000000000000000000000000000
χ7516-160-8-8008804000-4000000000000000000000000000000000000000000000000000000000000

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