Finite Group Databasebeta

← Group #11886859

Character table — Group #11886859

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222224444444444444488888888888888812121212161616161616181818182424242424242424242424242424363636364848484872
order12233446623444666121212121212666812121212121212121212122244612242424248888224466668812121212248861224248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-11-1111111-1-1-1-111-1-1-11111-11-1-1-1-1-1-1-11-11-1-1
χ311111111111111111111111111111111111111-11-11111111-1-1-1-1-1-1111-1-1-1-11-1111-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ5111111111111-1-1111111111111-111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-11-11111-1-11111-1-1-11-1-1-1-11
χ6111111111111-1-1111111111111-111-1-1-1-11-1-1-1-11-11-111-1-1-1-111-1-11-1-11-1111-111-1-1-1111-1-11-11-1
χ7111111111111-1-1111111111111-111-1-1-1-11-1-1-1-1-11-1111-1-1-1-111-1-1-111-11-1-1-11-1-1111111-11-11-1-1
χ8111111111111-1-1111111111111-111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-11-1-1-1-111-1-1-1-1-1-1-1111111
χ9111111111-11-111111111111-1-11-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1
χ10111111111-11-111111111111-1-11-1-1-11111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-11-11111-1-1-111-11
χ11111111111-11-111111111111-1-11-1-1-1111111111-11-11-1-1-1-1-1-1-1-1-1-111-1-11-111-11-11-1-111-1-11-1-111
χ12111111111-11-111111111111-1-11-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-1-1
χ13111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-11111-1-11111-1-111-11-1111-1-1-1-111-1-111-1111-1-1-1
χ14111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-11-11-1-1-1111111-1-1-111-1-11-1-1-111-111-1-11-11-1-111
χ15111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-1-11-11-1-1111111-1-11-1-111-1111-1-11-1-1-1-11-1-111-11
χ16111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1-1-11111-1-11111-11-1-111-1
χ172222-122-122-12222-1-1-12-1-1-122-1-12-1222-1-1-1-1-1-1-12020-1-12-1-1-1000022000-1-1-120-10000000-10-100
χ182222-122-122-12222-1-1-12-1-1-122-1-12-1222-1-1-1-1-1-1-1-20-20-1-12-1-1-10000-2-2000111-201000000010100
χ192222-122-122-12-2-22-1-1-12-1-1-122-1-1-2-12-2-211-111112020-1-1-211100002-2000-1-1-1-20-1000000010100
χ202222-122-122-12-2-22-1-1-12-1-1-122-1-1-2-12-2-211-11111-20-20-1-1-21110000-220001112010000000-10-100
χ212222-122-12-2-1-2222-1-1-12-1-1-12-21-1-21-222-1-1-1-1-1-1-1202011-21110000-2-2000-11120-1000000010-100
χ222222-122-12-2-1-2222-1-1-12-1-1-12-21-1-21-222-1-1-1-1-1-1-1-20-2011-21110000220001-1-1-2010000000-10100
χ232222-122-12-2-1-2-2-22-1-1-12-1-1-12-21-121-2-2-211-111112020112-1-1-10000-22000-111-20-10000000-10100
χ242222-122-12-2-1-2-2-22-1-1-12-1-1-12-21-121-2-2-211-11111-20-20112-1-1-100002-20001-1-1201000000010-100
χ25222-12222-12-1222-12-12-1-1-12-1-12-122-1-1-122-1-1-1-1-10202-1-1-12-1-100000022-1000020-1-1-100000-10-10
χ26222-12222-12-1222-12-12-1-1-12-1-12-122-1-1-122-1-1-1-1-10-20-2-1-1-12-1-1000000-2-210000-20111000001010
χ27222-12222-12-12-2-2-12-12-1-1-12-1-12-1-22-111-2-2-111110202-1-11-2110000002-2-10000-20-1-1-1000001010
χ28222-12222-12-12-2-2-12-12-1-1-12-1-12-1-22-111-2-2-111110-20-2-1-11-211000000-22100002011100000-10-10
χ29222-12222-1-2-1-222-12-12-1-1-12-11-2-1-2-21-1-122-1-1-1-1-10202111-211000000-2-2-1000020-1110000010-10
χ30222-12222-1-2-1-222-12-12-1-1-12-11-2-1-2-21-1-122-1-1-1-1-10-20-2111-2110000002210000-201-1-100000-1010
χ31222-12222-1-2-1-2-2-2-12-12-1-1-12-11-2-12-2111-2-2-11111020211-12-1-1000000-22-10000-20-11100000-1010
χ32222-12222-1-2-1-2-2-2-12-12-1-1-12-11-2-12-2111-2-2-111110-20-211-12-1-10000002-210000201-1-10000010-10
χ3322-2222-22222-200-2-22-2-2-2-22222-20-2-200002000000002-20000220000000000000000-22-2000000
χ3422-2222-22222-200-2-22-2-2-2-22222-20-2-200002000000002-20000-2-200000000000000002-22000000
χ3522-2222-222-22200-2-22-2-2-2-222-2-2-20220000200000000-2200002200000000000000002-2-2000000
χ3622-2222-222-22200-2-22-2-2-2-222-2-2-20220000200000000-220000-2-20000000000000000-222000000
χ3722-222-222202000-2-222222-2-200-20000000-2000022-2-200000000-2-20000220000-2-200000200000
χ3822-222-222202000-2-222222-2-200-20000000-200002-2-2200000000220000-220000-2200000-200000
χ3922-222-222202000-2-222222-2-200-20000000-20000-222-2000000002200002-200002-200000-200000
χ4022-222-222202000-2-222222-2-200-20000000-20000-2-22200000000-2-20000-2-200002200000200000
χ4144444-4-44404000444-4-4-4-4-4-40040000000-400000000000000000000000000000000000000000
χ424444-2-4-4-240-20004-2-22-4222-400-200000002000000000000000000000000−2i32i3000000000000000
χ434444-2-4-4-240-20004-2-22-4222-400-2000000020000000000000000000000002i3−2i3000000000000000
χ44444-24-4-44-20-2000-24-2-4222-4200-200000002000000000000000000000000000000−2i32i3000000000
χ45444-24-4-44-20-2000-24-2-4222-4200-2000000020000000000000000000000000000002i3−2i3000000000
χ46444-2-244-2-241444-2-21-2-211-2-2-2-214-2-2-2-2-2-211111000011-2-211000000000000000000000000000
χ47444-2-244-2-2414-4-4-2-21-2-211-2-2-2-21-4-2-222221-1-1-1-100001122-1-1000000000000000000000000000
χ48444-2-244-2-2-41-444-2-21-2-211-2-2221-422-2-2-2-2111110000-1-122-1-1000000000000000000000000000
χ49444-2-244-2-2-41-4-4-4-2-21-2-211-2-222142222221-1-1-1-10000-1-1-2-211000000000000000000000000000
χ5044-44-24-4-244-2-400-42-22-422-244-2202-40000-200000000-220000000000000000000000000000000
χ5144-44-24-4-24-4-2400-42-22-422-24-4220-240000-2000000002-20000000000000000000000000000000
χ5244-44-2-44-240-2000-42-2-24-2-22-400200000002000040-40000000000000000-200002000000000000
χ5344-44-2-44-240-2000-42-2-24-2-22-4002000000020000-404000000000000000020000-2000000000000
χ5444-4-244-44-24-2-4002-4-2-42224-2-2420-420000-200000000-220000000000000000000000000000000
χ5544-4-244-44-2-4-24002-4-2-42224-22-4204-20000-2000000002-20000000000000000000000000000000
χ5644-4-24-444-20-20002-4-24-2-2-2-42002000000020000040-400000000000000-2000000200000000000
χ5744-4-24-444-20-20002-4-24-2-2-2-420020000000200000-404000000000000002000000-200000000000
χ5844-4-2-24-4-2-241-40022122-1-1-2-2-2-2-1022000013i3i−3i−3i00001-1003i−3i000000000000000000000000000
χ5944-4-2-24-4-2-241-40022122-1-1-2-2-2-2-102200001−3i−3i3i3i00001-100−3i3i000000000000000000000000000
χ6044-4-2-24-4-2-2-4140022122-1-1-2-222-10-2-2000013i3i−3i−3i0000-1100−3i3i000000000000000000000000000
χ6144-4-2-24-4-2-2-4140022122-1-1-2-222-10-2-200001−3i−3i3i3i0000-11003i−3i000000000000000000000000000
χ624-404400-4-40402-200-40000000000002-22-202-22-20000000000−2i22i2−2i22i200000000000000000000000
χ634-404400-4-40402-200-40000000000002-22-202-22-200000000002i2−2i22i2−2i200000000000000000000000
χ644-404400-4-4040-2200-4000000000000-22-220-22-220000000000−2i22i22i2−2i200000000000000000000000
χ654-404400-4-4040-2200-4000000000000-22-220-22-2200000000002i2−2i2−2i22i200000000000000000000000
χ66888-4-4-8-8-4-402000-4-4244-2-2440020000000-200000000000000000000000000000000000000000
χ6788-8-4-4-88-4-402000442-4-4224400-20000000-200000000000000000000000000000000000000000
χ688-808-4004-80-404-40040000000000004-4-220-22-220000000000000000000000000000000000000
χ698-808-4004-80-40-44004000000000000-442-202-22-20000000000000000000000000000000000000
χ708-80-4800-840-404-4004000000000000-224-40-22-220000000000000000000000000000000000000
χ718-80-4800-840-40-440040000000000002-2-4402-22-20000000000000000000000000000000000000
χ728-80-4-400440204-400-2006i−6i00000000-22-2201+3i−1−3i1−3i−1+3i0000000000000000000000000000000000000
χ738-80-4-400440204-400-200−6i6i00000000-22-2201−3i−1+3i1+3i−1−3i0000000000000000000000000000000000000
χ748-80-4-40044020-4400-2006i−6i000000002-22-20−1−3i1+3i−1+3i1−3i0000000000000000000000000000000000000
χ758-80-4-40044020-4400-200−6i6i000000002-22-20−1+3i1−3i−1−3i1+3i0000000000000000000000000000000000000

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