Finite Group Databasebeta

← Group #11922927

Character table — Group #11922927

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222444444446688888888888812121212121616161616161616161616161616161616162424243636363636367272727272
order12222236664466121212124433366666666624412126666661212121212121212121212126121244888844488
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1
χ41111111111-1-111-1-1-1-111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1111
χ51111-1-111111-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-1-1-11-11
χ61111-1-111111-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-11111-11-1
χ71111-1-11111-11-1-111-1-111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111-1-11-1-11-1
χ81111-1-11111-11-1-111-1-111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-111-111-11
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
χ102222222222-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1111111111111-2-2200000000000
χ11222222-1-1-1-122-1-1-1-1-1-1222-1-12-1-122-1-1-1-1222-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-100000000000
χ12222222-1-1-1-122-1-1-1-1-1-122-12-1-12-1-1-122-1-1222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-100000000000
χ13222222-1-1-1-122-1-1-1-1-1-122-1-12-1-12-1-1-1-122222-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-100000000000
χ14222222-1-1-1-1-2-2-1-11111222-1-12-1-122-1-1-1-1-2-22-1-122-1-1-1-1-2-21111-2-2111111-100000000000
χ15222222-1-1-1-1-2-2-1-1111122-12-1-12-1-1-122-1-1-2-22-1-1-1-122-1-111-2-21111-2-21111-100000000000
χ16222222-1-1-1-1-2-2-1-1111122-1-12-1-12-1-1-1-122-2-22-1-1-1-1-1-1221111-2-21111-2-211-100000000000
χ172222-2-222222-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-2-222111111-1-1-1-1-1-11111112-2-200000000000
χ182222-2-22222-22-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-22-222111111111111-1-1-1-1-1-1-22-200000000000
χ192222-2-2-1-1-1-12-21111-1-1222-1-12-1-122-1-1-1-12-2-2-1-1-2-2111122-1-1-1-1-2-21111-11100000000000
χ202222-2-2-1-1-1-12-21111-1-122-12-1-12-1-1-122-1-12-2-2-1-111-2-211-1-122-1-111-2-211-11100000000000
χ212222-2-2-1-1-1-12-21111-1-122-1-12-1-12-1-1-1-1222-2-2-1-11111-2-2-1-1-1-1221111-2-2-11100000000000
χ222222-2-2-1-1-1-1-2211-1-111222-1-12-1-122-1-1-1-1-22-2-1-1-2-21111-2-2111122-1-1-1-11-1100000000000
χ232222-2-2-1-1-1-1-2211-1-11122-12-1-12-1-1-122-1-1-22-2-1-111-2-21111-2-211-1-122-1-11-1100000000000
χ242222-2-2-1-1-1-1-2211-1-11122-1-12-1-12-1-1-1-122-22-2-1-11111-2-21111-2-2-1-1-1-1221-1100000000000
χ252-22-2002-2-22000000002-2222-2-2-22-22-22-20002-20000000000000000000002i−2i2i−2i0000000
χ262-22-2002-2-22000000002-2222-2-2-22-22-22-20002-2000000000000000000000−2i2i−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
χ293333333333-3-333-3-3-3-3-1-100000000000011-1-1-100000000000000000011-111-1-1-1-1-11-111
χ303333333333-3-333-3-3-3-3-1-100000000000011-1-1-100000000000000000011-1-1-111111-11-1-1
χ313333-3-333333-3-3-3-3-333-1-1000000000000-111-1-1000000000000000000-11111-1-111-1-111-1
χ323333-3-333333-3-3-3-3-333-1-1000000000000-111-1-1000000000000000000-111-1-111-1-111-1-11
χ333333-3-33333-33-3-333-3-3-1-10000000000001-11-1-10000000000000000001-1111-1-1111-1-1-11
χ343333-3-33333-33-3-333-3-3-1-10000000000001-11-1-10000000000000000001-11-1-111-1-1-1111-1
χ3544-4-44-44-44-4004-4000000111111-1-1-1-1-1-1000001-11-11-13−33−33−33−33−33−300000000000000
χ3644-4-44-44-44-4004-4000000111111-1-1-1-1-1-1000001-11-11-1−33−33−33−33−33−3300000000000000
χ3744-4-44-44-44-4004-4000000-2-2-2-2-2-222222200000-22-22-2200000000000000000000000000
χ3844-4-44-4-22-2200-2223−2323−230011-211-2-1-1-1-122000001-11-1-223−3−33003−3−330000000000000000
χ3944-4-44-4-22-2200-2223−2323−23001-211-21-1-122-1-1000001-1-221-1−33003−3−33003−300000000000000
χ4044-4-44-4-22-2200-2223−2323−2300-211-21122-1-1-1-100000-221-11-1003−3−33003−3−3300000000000000
χ4144-4-44-4-22-2200-22−2323−23230011-211-2-1-1-1-122000001-11-1-22−333−300−333−30000000000000000
χ4244-4-44-4-22-2200-22−2323−2323001-211-21-1-122-1-1000001-1-221-13−300−333−300−3300000000000000
χ4344-4-44-4-22-2200-22−2323−232300-211-21122-1-1-1-100000-221-11-100−333−300−333−300000000000000
χ4444-4-4-444-44-400-44000000111111-1-1-1-1-1-100000-11-11-113−33−33−3−33−33−3300000000000000
χ4544-4-4-444-44-400-44000000111111-1-1-1-1-1-100000-11-11-11−33−33−333−33−33−300000000000000
χ4644-4-4-444-44-400-44000000-2-2-2-2-2-2222222000002-22-22-200000000000000000000000000
χ4744-4-4-44-22-22002-223−23−23230011-211-2-1-1-1-12200000-11-112-2−333−3003−3−330000000000000000
χ4844-4-4-44-22-22002-223−23−2323001-211-21-1-122-1-100000-112-2-113−300−33−33003−300000000000000
χ4944-4-4-44-22-22002-223−23−232300-211-21122-1-1-1-1000002-2-11-1100−333−3003−3−3300000000000000
χ5044-4-4-44-22-22002-2−232323−230011-211-2-1-1-1-12200000-11-112-23−3−3300−333−30000000000000000
χ5144-4-4-44-22-22002-2−232323−23001-211-21-1-122-1-100000-112-2-11−33003−33−300−3300000000000000
χ5244-4-4-44-22-22002-2−232323−2300-211-21122-1-1-1-1000002-2-11-11003−3−3300−333−300000000000000
χ534-44-4004-4-44000000004-4-2-2-2222-22-22-220004-400000000000000000000000000000000
χ544-44-400-222-2000000004-44-2-2-4224-4-22-22000-2200000000000000000000000000000000
χ554-44-400-222-2000000004-4-24-22-42-224-4-22000-2200000000000000000000000000000000
χ564-44-400-222-2000000004-4-2-2422-4-22-224-4000-2200000000000000000000000000000000
χ574-4-440044-4-40000000000-2-2-22222-22-22-2000000000000000000000000000000−2i22i200000
χ584-4-440044-4-40000000000-2-2-22222-22-22-20000000000000000000000000000002i2−2i200000
χ59666666-3-3-3-366-3-3-3-3-3-3-2-2000000000000-2-2-21100000000000000000011100000000000
χ60666666-3-3-3-3-6-6-3-33333-2-200000000000022-211000000000000000000-1-1100000000000
χ616666-6-6-3-3-3-36-63333-3-3-2-2000000000000-222110000000000000000001-1-100000000000
χ626666-6-6-3-3-3-3-6633-3-333-2-20000000000002-2211000000000000000000-11-100000000000
χ636-66-6006-6-6600000000-22000000000000000-220000000000000000000002i−2i−2i2i0000000
χ646-66-6006-6-6600000000-22000000000000000-22000000000000000000000−2i2i2i−2i0000000
χ658-8-880088-8-80000000000222-2-2-2-22-22-220000000000000000000000000000000000000
χ668-8-8800-4-444000000000022-4-2-24-22-224-40000000000000000000000000000000000000
χ678-8-8800-4-44400000000002-42-24-2-224-4-220000000000000000000000000000000000000
χ688-8-8800-4-4440000000000-4224-2-24-4-22-220000000000000000000000000000000000000
χ6912-1212-1200-666-600000000-440000000000000002-200000000000000000000000000000000

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