Finite Group Databasebeta

← Group #11886802

Character table — Group #11886802

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222224444444444444488888888888888812121212161616161616181818182424242424242424242424242424363636364848484872
order1223344662344466612121212121266681212121212121212121212224461224242424888822446666668812122488121224248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-11-1111111-1-1-1-11-11-1111-1-1-11-11-1-1-1-1-11-11-1-1
χ311111111111111111111111111111111111111-11-11111111-1-1-1-1-11-11-1-1-1111-11-11-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ5111111111111-1-1111111111111-111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-111-1-1-11-1-1-1-11
χ6111111111111-1-1111111111111-111-1-1-1-11-1-1-1-11-11-111-1-1-1-111-1-11-1-11111-1-1-1-111-1111-1-11-11-1
χ7111111111111-1-1111111111111-111-1-1-1-11-1-1-1-1-11-1111-1-1-1-111-1-1-111-1-1-1-11111-1-11111-11-11-1-1
χ8111111111111-1-1111111111111-111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1111111
χ9111111111-11-111111111111-1-11-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111-1-111-1-111-1
χ10111111111-11-111111111111-1-11-1-1-11111111111-11-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1111-11-111-1-1-111-11
χ11111111111-11-111111111111-1-11-1-1-1111111111-11-11-1-1-1-1-1-1-1-1-1-11-11-1-1111-1-1-11-1111-1-11-1-111
χ12111111111-11-111111111111-1-11-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-11111-1-1-1
χ13111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-11111-1-11111-1-111-1-1111-1-11-1-1-1-11111-1111-1-1-1
χ14111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-11-11-1-1-1111111-1-1-111-11-1-1-111-111-1-1-11-11-1-111
χ15111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-1-11-11-1-1111111-1-11-1-11-1111-1-11-1-11-1-11-1-111-11
χ16111111111-11-1-1-1111111111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-11111-1-111-11-1-111-1
χ172222-1222-12-12222-1-12-1-1-12-12-1-122-122-1-1-1-1-1-1-10202-1-12-1-1-100000202000-1-1-1020-100000-10-10
χ182222-1222-12-12222-1-12-1-1-12-12-1-122-122-1-1-1-1-1-1-10-20-2-1-12-1-1-100000-20-20001110-201000001010
χ192222-1222-12-12-2-22-1-12-1-1-12-12-1-1-22-1-2-211-111110202-1-1-21110000020-2000-1-1-10-20-1000001010
χ202222-1222-12-12-2-22-1-12-1-1-12-12-1-1-22-1-2-211-111110-20-2-1-1-211100000-202000111020100000-10-10
χ212222-1222-1-2-1-2222-1-12-1-1-12-1-21-1-2-2122-1-1-1-1-1-1-1020211-211100000-20-2000-111020-10000010-10
χ222222-1222-1-2-1-2222-1-12-1-1-12-1-21-1-2-2122-1-1-1-1-1-1-10-20-211-2111000002020001-1-10-20100000-1010
χ232222-1222-1-2-1-2-2-22-1-12-1-1-12-1-21-12-21-2-211-111110202112-1-1-100000-202000-1110-20-100000-1010
χ242222-1222-1-2-1-2-2-22-1-12-1-1-12-1-21-12-21-2-211-111110-20-2112-1-1-10000020-20001-1-102010000010-10
χ25222-1222-122-1222-12-1-12-1-1-12-12-12-12-1-122-1-1-1-1-12020-1-1-12-1-100002020-1-1-100020-100000-10-100
χ26222-1222-122-1222-12-1-12-1-1-12-12-12-12-1-122-1-1-1-1-1-20-20-1-1-12-1-10000-20-20111000-2010000010100
χ27222-1222-122-12-2-2-12-1-12-1-1-12-12-1-2-1211-2-2-111112020-1-11-211000020-20-1-1-1000-20-10000010100
χ28222-1222-122-12-2-2-12-1-12-1-1-12-12-1-2-1211-2-2-11111-20-20-1-11-2110000-202011100020100000-10-100
χ29222-1222-12-2-1-222-12-1-12-1-1-121-2-1-21-2-1-122-1-1-1-1-12020111-2110000-20-20-11100020-10000010-100
χ30222-1222-12-2-1-222-12-1-12-1-1-121-2-1-21-2-1-122-1-1-1-1-1-20-20111-211000020201-1-1000-20100000-10100
χ31222-1222-12-2-1-2-2-2-12-1-12-1-1-121-2-121-211-2-2-11111202011-12-1-10000-2020-111000-20-100000-10100
χ32222-1222-12-2-1-2-2-2-12-1-12-1-1-121-2-121-211-2-2-11111-20-2011-12-1-1000020-201-1-10002010000010-100
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
χ3722-222-222202000-2-222222-2-200-20000000-2000022-2-20000000022000020020000-2-2000-200000
χ3822-222-222202000-2-222222-2-200-20000000-200002-2-2200000000-2-20000200-20000-22000200000
χ3922-222-222202000-2-222222-2-200-20000000-20000-222-200000000-2-20000-200200002-2000200000
χ4022-222-222202000-2-222222-2-200-20000000-20000-2-22200000000220000-200-2000022000-200000
χ4144444-4-44404000444-4-4-4-4-4-40040000000-400000000000000000000000000000000000000000
χ424444-2-4-44-20-20004-2-2-4222-4200-20000000200000000000000000000000000−2i32i30000000000000
χ434444-2-4-44-20-20004-2-2-4222-4200-200000002000000000000000000000000002i3−2i30000000000000
χ44444-24-4-4-240-2000-24-22-4222-400-20000000200000000000000000000000−2i32i30000000000000000
χ45444-24-4-4-240-2000-24-22-4222-400-200000002000000000000000000000002i3−2i30000000000000000
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
χ5044-44-24-44-24-2-400-42-2-42224-24-220-420000-200000000-220000000000000000000000000000000
χ5144-44-24-44-2-4-2400-42-2-42224-2-42204-20000-2000000002-20000000000000000000000000000000
χ5244-44-2-444-20-2000-42-24-2-2-2-42002000000020000040-400000000000000000-2000002000000000
χ5344-44-2-444-20-2000-42-24-2-2-2-420020000000200000-40400000000000000000200000-2000000000
χ5444-4-244-4-244-2-4002-4-22-422-24-24202-40000-200000000-220000000000000000000000000000000
χ5544-4-244-4-24-4-24002-4-22-422-242-420-240000-2000000002-20000000000000000000000000000000
χ5644-4-24-44-240-20002-4-2-24-2-22-400200000002000040-4000000000000000-2000000020000000000
χ5744-4-24-44-240-20002-4-2-24-2-22-4002000000020000-40400000000000000020000000-20000000000
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
χ624-404400-4-40402i−2i00-40000000000002i−2i2i−2i02i−2i2i−2i0000000000−2i22i222−2200000000000000000000000
χ634-404400-4-40402i−2i00-40000000000002i−2i2i−2i02i−2i2i−2i00000000002i2−2i2−222200000000000000000000000
χ644-404400-4-4040−2i2i00-4000000000000−2i2i−2i2i0−2i2i−2i2i0000000000−2i22i2−222200000000000000000000000
χ654-404400-4-4040−2i2i00-4000000000000−2i2i−2i2i0−2i2i−2i2i00000000002i2−2i222−2200000000000000000000000
χ66888-4-4-8-8-4-402000-4-4244-2-2440020000000-200000000000000000000000000000000000000000
χ6788-8-4-4-88-4-402000442-4-4224400-20000000-200000000000000000000000000000000000000000
χ688-808-400-840-404i−4i0040000000000004i−4i−2i2i0−2i2i−2i2i0000000000000000000000000000000000000
χ698-808-400-840-40−4i4i004000000000000−4i4i2i−2i02i−2i2i−2i0000000000000000000000000000000000000
χ708-80-48004-80-404i−4i004000000000000−2i2i4i−4i0−2i2i−2i2i0000000000000000000000000000000000000
χ718-80-48004-80-40−4i4i0040000000000002i−2i−4i4i02i−2i2i−2i0000000000000000000000000000000000000
χ728-80-4-400440204i−4i00-2006i−6i00000000−2i2i−2i2i03+i−3−i−3+i3−i0000000000000000000000000000000000000
χ738-80-4-400440204i−4i00-200−6i6i00000000−2i2i−2i2i0−3+i3−i3+i−3−i0000000000000000000000000000000000000
χ748-80-4-40044020−4i4i00-2006i−6i000000002i−2i2i−2i0−3−i3+i3−i−3+i0000000000000000000000000000000000000
χ758-80-4-40044020−4i4i00-200−6i6i000000002i−2i2i−2i03−i−3+i−3−i3+i0000000000000000000000000000000000000

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