Finite Group Databasebeta

← Group #11922972

Character table — Group #11922972

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222444444446688888888888812121212121616161616161616161616161616161616162424243636363636367272727272
order12223446664412121212121244333666666666444121212121212121212121212121212121212121212121244888822288
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1
χ41111111111-1-1-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111
χ511111-1-11111-111-1-1-1-111111111111111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11111-1-1-11-11-1
χ611111-1-11111-111-1-1-1-111111111111111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1-1111-11-11
χ711111-1-1111-11-1-111-1-111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-11-11
χ811111-1-1111-11-1-111-1-111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-11111-11-1
χ922222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200000000000
χ102222222222-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-2-222-1-1-1-1-1-11111111111112-2-200000000000
χ1122222-2-22222-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-22-222111111-1-1-1-1-1-1111111-22-200000000000
χ1222222-2-2222-22-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2222111111111111-1-1-1-1-1-1-2-2200000000000
χ132222-122-1-1-122-1-1-1-1-1-1222-1-12-1-12-1-12-1-1222-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-100000000000
χ142222-122-1-1-122-1-1-1-1-1-122-12-1-12-1-12-1-12-1222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-100000000000
χ152222-122-1-1-122-1-1-1-1-1-122-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-100000000000
χ162222-122-1-1-1-2-21111-1-1222-1-12-1-12-1-12-1-12-2-2-1-122-1-1-1-1-2-21111-2-21111-11100000000000
χ172222-122-1-1-1-2-21111-1-122-12-1-12-1-12-1-12-12-2-2-1-1-1-122-1-111-2-21111-2-211-11100000000000
χ182222-122-1-1-1-2-21111-1-122-1-12-1-12-1-12-1-122-2-2-1-1-1-1-1-1221111-2-21111-2-2-11100000000000
χ192222-1-2-2-1-1-12-2-1-11111222-1-12-1-12-1-12-1-1-22-2-1-1-2-2111122-1-1-1-1-2-211111-1100000000000
χ202222-1-2-2-1-1-12-2-1-1111122-12-1-12-1-12-1-12-1-22-2-1-111-2-211-1-122-1-111-2-2111-1100000000000
χ212222-1-2-2-1-1-12-2-1-1111122-1-12-1-12-1-12-1-12-22-2-1-11111-2-2-1-1-1-1221111-2-21-1100000000000
χ222222-1-2-2-1-1-1-2211-1-111222-1-12-1-12-1-12-1-1-2-22-1-1-2-21111-2-2111122-1-1-1-111-100000000000
χ232222-1-2-2-1-1-1-2211-1-11122-12-1-12-1-12-1-12-1-2-22-1-111-2-21111-2-211-1-122-1-111-100000000000
χ242222-1-2-2-1-1-1-2211-1-11122-1-12-1-12-1-12-1-12-2-22-1-11111-2-21111-2-2-1-1-1-12211-100000000000
χ2522-2-22002-2-200000000-22222222-2-2-2-2-2-20002-20000000000000000000002i−2i2i−2i0000000
χ2622-2-22002-2-200000000-22222222-2-2-2-2-2-20002-2000000000000000000000−2i2i−2i2i0000000
χ27333333333333333333-1-1000000000000-1-1-1-1-1000000000000000000-1-1-111-1-1-1-1111-1-1
χ28333333333333333333-1-1000000000000-1-1-1-1-1000000000000000000-1-1-1-1-11111-1-1-111
χ293333333333-3-3-3-3-3-333-1-1000000000000-111-1-1000000000000000000-11111-1-1-1-11-1-111
χ303333333333-3-3-3-3-3-333-1-1000000000000-111-1-1000000000000000000-111-1-11111-111-1-1
χ3133333-3-33333-333-3-3-3-3-1-10000000000001-11-1-10000000000000000001-1111-1-111-11-1-11
χ3233333-3-33333-333-3-3-3-3-1-10000000000001-11-1-10000000000000000001-11-1-111-1-11-111-1
χ3333333-3-3333-33-3-333-3-3-1-100000000000011-1-1-100000000000000000011-111-1-111-1-111-1
χ3433333-3-3333-33-3-333-3-3-1-100000000000011-1-1-100000000000000000011-1-1-111-1-111-1-11
χ3544-4-44004-4-400000000-44-2-2-2-2-2-22222220004-400000000000000000000000000000000
χ3644-4-4-200-22200000000-444-2-24-2-2-422-422000-2200000000000000000000000000000000
χ3744-4-4-200-22200000000-44-24-2-24-22-422-42000-2200000000000000000000000000000000
χ3844-4-4-200-22200000000-44-2-24-2-2422-422-4000-2200000000000000000000000000000000
χ394-44-4400-44-40000000000-2-2-2222222-2-2-2000000000000000000000000000000−2i22i200000
χ404-44-4400-44-40000000000-2-2-2222222-2-2-20000000000000000000000000000002i2−2i200000
χ414-4-4444-4-4-440000004-400111-1-1-1111-1-1-1000001-11-11-13−33−33−33−33−33−300000000000000
χ424-4-4444-4-4-440000004-400111-1-1-1111-1-1-1000001-11-11-1−33−33−33−33−33−3300000000000000
χ434-4-4444-4-4-440000004-400-2-2-2222-2-2-222200000-22-22-2200000000000000000000000000
χ444-4-444-44-4-44000000-4400111-1-1-1111-1-1-100000-11-11-113−33−33−3−33−33−3300000000000000
χ454-4-444-44-4-44000000-4400111-1-1-1111-1-1-100000-11-11-11−33−33−333−33−33−300000000000000
χ464-4-444-44-4-44000000-4400-2-2-2222-2-2-2222000002-22-22-200000000000000000000000000
χ474-4-44-24-422-20023−2323−23-220011-2-1-1211-2-1-12000001-11-1-223−3−33003−3−330000000000000000
χ484-4-44-24-422-20023−2323−23-22001-21-12-11-21-12-1000001-1-221-1−33003−3−33003−300000000000000
χ494-4-44-24-422-20023−2323−23-2200-2112-1-1-2112-1-100000-221-11-1003−3−33003−3−3300000000000000
χ504-4-44-24-422-200−2323−2323-220011-2-1-1211-2-1-12000001-11-1-22−333−300−333−30000000000000000
χ514-4-44-24-422-200−2323−2323-22001-21-12-11-21-12-1000001-1-221-13−300−333−300−3300000000000000
χ524-4-44-24-422-200−2323−2323-2200-2112-1-1-2112-1-100000-221-11-100−333−300−333−300000000000000
χ534-4-44-2-4422-20023−23−23232-20011-2-1-1211-2-1-1200000-11-112-23−3−3300−333−30000000000000000
χ544-4-44-2-4422-20023−23−23232-2001-21-12-11-21-12-100000-112-2-11−33003−33−300−3300000000000000
χ554-4-44-2-4422-20023−23−23232-200-2112-1-1-2112-1-1000002-2-11-11003−3−3300−333−300000000000000
χ564-4-44-2-4422-200−232323−232-20011-2-1-1211-2-1-1200000-11-112-2−333−3003−3−330000000000000000
χ574-4-44-2-4422-200−232323−232-2001-21-12-11-21-12-100000-112-2-113−300−33−33003−300000000000000
χ584-4-44-2-4422-200−232323−232-200-2112-1-1-2112-1-1000002-2-11-1100−333−3003−3−3300000000000000
χ596666-366-3-3-366-3-3-3-3-3-3-2-2000000000000-2-2-21100000000000000000011100000000000
χ606666-366-3-3-3-6-63333-3-3-2-2000000000000-222110000000000000000001-1-100000000000
χ616666-3-6-6-3-3-36-6-3-33333-2-20000000000002-2211000000000000000000-11-100000000000
χ626666-3-6-6-3-3-3-6633-3-333-2-200000000000022-211000000000000000000-1-1100000000000
χ6366-6-66006-6-6000000002-2000000000000000-220000000000000000000002i−2i−2i2i0000000
χ6466-6-66006-6-6000000002-2000000000000000-22000000000000000000000−2i2i2i−2i0000000
χ658-88-8800-88-80000000000222-2-2-2-2-2-22220000000000000000000000000000000000000
χ668-88-8-4004-44000000000022-4-2-24-2-2422-40000000000000000000000000000000000000
χ678-88-8-4004-4400000000002-42-24-2-24-22-420000000000000000000000000000000000000
χ688-88-8-4004-440000000000-4224-2-24-2-2-4220000000000000000000000000000000000000
χ691212-12-12-600-666000000004-40000000000000002-200000000000000000000000000000000

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