Finite Group Databasebeta

← Group #11886630

Character table — Group #11886630

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222224444444444888888888888812121212121212121212121212121616161616161616242424242424242424242424242424363648727272
order12233446623466612121212266666812121212242422244466881212242466661224242424466668121212121212248824288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111-111111111111111111-1-1-1111-11-1-1-1-1-11-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-111111111-1111-1-1-11-111111-1-1-11-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ51111111111111111111-111-1-11-11111-1-11-111-1111-1-111-1-1-11-1-11-1-1-111-1111-1-1-1111-1-1-111-1-1-11
χ61111111111111111111-111-1-11-11111-1-11-1-11-1-111-1-111-1-1-11-1-11-1-1-11-11-111-11-1-1-1-111-1-1-1111-1
χ71111111111111111111-111-1-11-11111-1-1-111-111-1-111-1-111-11-1-11-1-1-1-11-11-1-11-11111-1-11-1-1-111-1
χ81111111111111111111-111-1-11-11111-1-1-11-1-11-1-1-111-1-111-11-1-11-1-1-1-1-11-1-1-1111-1-1-1111111-1-11
χ9111111111-11-111111111-1-1111-1-1-111-1-111111111-1-111-1-11-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-11111-1-1
χ10111111111-11-111111111-1-1111-1-1-111-1-111-111-111-1-111-1-11-111-1-1-1-1-111-1-1-11-11-11111-1-1-1-1-111
χ11111111111-11-111111111-1-1111-1-1-111-1-1-1-11-1-11-1-111-1-1111-111-1-1-1-11-1-1111-11-11-1-1-1-11-1-11-111
χ12111111111-11-111111111-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-1111-111-1-1-1-11111111-11-1-1
χ13111111111-11-11111111-1-1-1-1-111-1-111111-111-1111111111-1-1-1-1-1111-1-111-1-1-1-1-11-1-111111-1-11-1
χ14111111111-11-11111111-1-1-1-1-111-1-111111-1-11-1-111111111-1-1-1-1-1111-11-1-1-1-1-11-1-111-1-11-1-111-11
χ15111111111-11-11111111-1-1-1-1-111-1-11111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-111-1-111-1-1-1-11-11
χ16111111111-11-11111111-1-1-1-1-111-1-11111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-111-1-1-1111-11-1
χ172222-122-122-12-1-12-122-122-1-1-1-12-12-1-1-1-1220220-1-122-1-1-1-12-1-1-1-12-1-12000-1-1-10-100000-1000000
χ182222-122-122-12-1-12-122-122-1-1-1-12-12-1-1-1-1-2-20-2-2011-2-211112-1-1-1-12-1-1-200011101000001000000
χ192222-122-122-12-1-12-122-1-22-111-1-2-12-1-1112-202-20-1-1-2-2-1-111-2-111-1-2112000-1-1101000001000000
χ202222-122-122-12-1-12-122-1-22-111-1-2-12-1-111-220-220112211-1-1-2-111-1-211-200011-10-100000-1000000
χ212222-122-12-2-1-2-1-12-122-12-21-1-1-1-21-2-1-111220220-1-1-2-2-1-11121-1-11-211-200011-10-1000001000000
χ222222-122-12-2-1-2-1-12-122-12-21-1-1-1-21-2-1-111-2-20-2-20112211-1-121-1-11-2112000-1-110100000-1000000
χ232222-122-12-2-1-2-1-12-122-1-2-2111-121-2-1-1-1-12-202-20-1-122-1-1-1-1-211112-1-1-20001110100000-1000000
χ242222-122-12-2-1-2-1-12-122-1-2-2111-121-2-1-1-1-1-220-22011-2-21111-211112-1-12000-1-1-10-1000001000000
χ25222-12222-12-122-1-12-1-122-1222-122-1-1-12200200200000000-1-1-1-1-1-1-1-1022-100020-1-1-1-1-1000-1000
χ26222-12222-12-122-1-12-1-122-1222-122-1-1-12200-200-200000000-1-1-1-1-1-1-1-10-2-21000-20111110001000
χ27222-12222-12-122-1-12-1-12-2-12-2-2-1-22-1-1-1-2-2002002000000001-111-111102-2-1000-20-1-1-1110001000
χ28222-12222-12-122-1-12-1-12-2-12-2-2-1-22-1-1-1-2-200-200-2000000001-111-11110-22100020111-1-1000-1000
χ29222-12222-1-2-1-22-1-12-1-1221-222-1-2-21-1-1-2-200200200000000-11-1-111110-2-2-100020-11111000-1000
χ30222-12222-1-2-1-22-1-12-1-1221-222-1-2-21-1-1-2-200-200-200000000-11-1-111110221000-201-1-1-1-10001000
χ31222-12222-1-2-1-22-1-12-1-12-21-2-2-2-12-21-1-1220020020000000011111-1-1-10-22-1000-20-111-1-10001000
χ32222-12222-1-2-1-22-1-12-1-12-21-2-2-2-12-21-1-12200-200-20000000011111-1-1-102-21000201-1-111000-1000
χ3322-2222-22222-2-22-2-22-2202200-20-2-2-22000200-20002-200220200-200000000020-200000-2000000
χ3422-2222-22222-2-22-2-22-2202200-20-2-2-22000-2002000-2200-2-20200-2000000000-202000002000000
χ3522-2222-222-222-22-2-22-220-2-200-2022-22000200-2000-2200-2-20-200200000000020-2000002000000
χ3622-2222-222-222-22-2-22-220-2-200-2022-22000-20020002-200220-2002000000000-20200000-2000000
χ3722-222-2222020-22-22-22-200000-20002-200202-20-22200-2-20000000000000200000-2000002-20000
χ3822-222-2222020-22-22-22-200000-20002-20020-2-2022200-2-20000000000000-200000200000-220000
χ3922-222-2222020-22-22-22-200000-20002-200-20220-2-2-200220000000000000200000-200000-220000
χ4022-222-2222020-22-22-22-200000-20002-200-20-2202-2-200220000000000000-2000002000002-20000
χ4122-22-12-2-122-1-21-1-212-2-102-1−i3i3101-21-1−i3i30200-20−i3i32-2−i3i3-1-10-1−i3i310−i3i30000−i3i3-101000001000000
χ4222-22-12-2-122-1-21-1-212-2-102-1−i3i3101-21-1−i3i30-20020i3−i3-22i3−i3110-1−i3i310−i3i30000i3−i310-100000-1000000
χ4322-22-12-2-122-1-21-1-212-2-102-1i3−i3101-21-1i3−i30200-20i3−i32-2i3−i3-1-10-1i3−i310i3−i30000i3−i3-101000001000000
χ4422-22-12-2-122-1-21-1-212-2-102-1i3−i3101-21-1i3−i30-20020−i3i3-22−i3i3110-1i3−i310i3−i30000−i3i310-100000-1000000
χ4522-22-12-2-12-2-121-1-212-2-10-21−i3i310-121-1i3−i30200-20−i3i3-22−i3i31101−i3i3-10i3−i30000i3−i3-10100000-1000000
χ4622-22-12-2-12-2-121-1-212-2-10-21−i3i310-121-1i3−i30-20020i3−i32-2i3−i3-1-101−i3i3-10i3−i30000−i3i310-1000001000000
χ4722-22-12-2-12-2-121-1-212-2-10-21i3−i310-121-1−i3i30200-20i3−i3-22i3−i31101i3−i3-10−i3i30000−i3i3-10100000-1000000
χ4822-22-12-2-12-2-121-1-212-2-10-21i3−i310-121-1−i3i30-20020−i3i32-2−i3i3-1-101i3−i3-10−i3i30000i3−i310-1000001000000
χ4944444-4-444040444-4-4-4-4000004000-4-4000000000000000000000000000000000000000000000
χ504444-2-4-4-240-20-2-242-4-4200000-20002200000000−2i32i3002i3−2i30000000000000000000000000000000
χ514444-2-4-4-240-20-2-242-4-4200000-200022000000002i3−2i300−2i32i30000000000000000000000000000000
χ52444-24-4-44-20-204-2-2-422-400000-2000220000000000000000000000000000000000−2i32i3000000000
χ53444-24-4-44-20-204-2-2-422-400000-20002200000000000000000000000000000000002i3−2i3000000000
χ54444-2-244-2-2414-21-2-2-2-2-24-2-2-2-214-2-211-2-200000000000000-21111-211000000000000000000000
χ55444-2-244-2-2414-21-2-2-2-2-2-4-2-2221-4-2-211220000000000000021-1-112-1-1000000000000000000000
χ56444-2-244-2-2-41-4-21-2-2-2-2-2422-2-21-422112200000000000000-2-111-12-1-1000000000000000000000
χ57444-2-244-2-2-41-4-21-2-2-2-2-2-42222142211-2-2000000000000002-1-1-1-1-211000000000000000000000
χ5844-44-2-44-240-202-2-4-2-442000002000-2200400-400-2-200220000000000000000000000000000000
χ5944-44-2-44-240-202-2-4-2-442000002000-2200-4004002200-2-20000000000000000000000000000000
χ6044-4-244-44-24-2-4-4-22-4-2240-240020-422-200000000000000000-2002000000000000000000000000
χ6144-4-244-44-2-4-24-4-22-4-22402-400204-22-200000000000000000200-2000000000000000000000000
χ6244-4-24-444-20-20-4-2242-2-4000002000-220000400-40000000000000000000-200000200000000000
χ6344-4-24-444-20-20-4-2242-2-4000002000-220000-40040000000000000000000200000-200000000000
χ6444-4-2-24-4-2-241-42122-22-20-2-2−2i32i3-1022-11−2i32i30000000000000001i3−i3-10i3−i3000000000000000000000
χ6544-4-2-24-4-2-241-42122-22-20-2-22i3−2i3-1022-112i3−2i30000000000000001−i3i3-10−i3i3000000000000000000000
χ6644-4-2-24-4-2-2-4142122-22-2022−2i32i3-10-2-2-112i3−2i3000000000000000-1i3−i310−i3i3000000000000000000000
χ6744-4-2-24-4-2-2-4142122-22-20222i3−2i3-10-2-2-11−2i32i3000000000000000-1−i3i310i3−i3000000000000000000000
χ68888-4-4-8-8-4-4020-42-44444000002000-2-2000000000000000000000000000000000000000000000
χ6988-8-4-4-88-4-4020424-44-4400000-20002-2000000000000000000000000000000000000000000000
χ708-808800-8-80800-80000000000000000000000000000000000000000000000000000000000000
χ718-808-4004-80-40040000000000000000000000000000002i6−2i600000000000000000000000000000
χ728-808-4004-80-4004000000000000000000000000000000−2i62i600000000000000000000000000000
χ738-80-4800-840-4004000000000000000000000000000000000000000000000000000023−230000000
χ748-80-4800-840-40040000000000000000000000000000000000000000000000000000−23230000000
χ7516-160-8-800880400-40000000000000000000000000000000000000000000000000000000000000

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