Finite Group Databasebeta

← Group #11922142

Character table — Group #11922142

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222244668888121212121216161616161616161616242424242424242424363636363636363648484848484872
order1222223666664436664441212366666666644881224242424244488881212121212124
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1
χ31111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ41111111111111111111-1-1111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-11
χ51111-1-11111-1-1111111-11-1111-1-1111-1-1-1-11-11-1-111-1-11-1-1-111-1-1-1111-1-11
χ61111-1-11111-1-1111111-11-1111-1-1111-1-1-1-1-11-11-1-1-1111-111-1-1111-111-1-1-1
χ71111-1-11111-1-1111111-1-11111-1-1111-1-1-1-11-11-1-111-1-1-1111-1-111-11-1-111-1
χ81111-1-11111-1-1111111-1-11111-1-1111-1-1-1-1-11-11-1-1-111-11-1-111-1-11-1-1-1111
χ922222222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-10000200002200000000-1-1-1-10
χ1022222222222222-1-1-1-12-2-222-1-1-1-1-1-1-1-1-1-1000020000-2-20000000011110
χ11222222-1-1-1-1-1-1222222200-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-100000000-1-100000
χ12222222-1-1-1-1-1-1222222200-1-1-122-1-1-1-1-1-1-1-2-2-2-2-11111000000001100000
χ132222-2-22222-2-222-1-1-1-1-22-222-111-1-1-111110000-200002-200000000-1-1110
χ142222-2-22222-2-222-1-1-1-1-2-2222-111-1-1-111110000-20000-220000000011-1-10
χ152222-2-2-1-1-1-111222222-200-1-1-1-2-2-1-1-111112-22-21-1-111000000001-100000
χ162222-2-2-1-1-1-111222222-200-1-1-1-2-2-1-1-11111-22-22111-1-100000000-1100000
χ172-22-2002-2-22002-22-22-20002-22002-2-20000000000000002i−2i002i−2i0000000
χ182-22-2002-2-22002-22-22-20002-22002-2-2000000000000000−2i2i00−2i2i0000000
χ19333333333333-1-10000-133-1-1000000000011-1-1-1-1-1-1-1-1-111-1-1-1-11100001
χ20333333333333-1-10000-133-1-10000000000-1-111-11111-1-1-1-11111-1-10000-1
χ21333333333333-1-10000-1-3-3-1-1000000000011-1-1-1-1-1-1-111-1-11111110000-1
χ22333333333333-1-10000-1-3-3-1-10000000000-1-111-111111111-1-1-1-1-1-100001
χ233333-3-33333-3-3-1-1000013-3-1-100000000001-1-111-1-111-11-1-1-1-111-1100001
χ243333-3-33333-3-3-1-1000013-3-1-10000000000-111-1111-1-1-111111-1-11-10000-1
χ253333-3-33333-3-3-1-100001-33-1-100000000001-1-111-1-1111-11111-1-1-110000-1
χ263333-3-33333-3-3-1-100001-33-1-10000000000-111-1111-1-11-1-1-1-1-1111-100001
χ27444444-2-2-2-2-2-244-2-2-2-2400-2-21-2-211111110000-20000000000000000000
χ284444-4-4-2-2-2-22244-2-2-2-2-400-2-2122111-1-1-1-1000020000000000000000000
χ2944-4-44-444-4-44-40011-1-10000011-1-11-111-1-100000000000000000003−33−30
χ3044-4-44-444-4-44-40011-1-10000011-1-11-111-1-10000000000000000000−33−330
χ3144-4-44-444-4-44-400-2-22200000-2-222-22-2-222000000000000000000000000
χ3244-4-44-4-2-222-2200-2-222000001-22-11-111-1-100000i6−i6i6−i6000000000000000
χ3344-4-44-4-2-222-2200-2-222000001-22-11-111-1-100000−i6i6−i6i6000000000000000
χ3444-4-4-4444-4-4-440011-1-1000001-11-11-1-1-11100000000000000000003−3−330
χ3544-4-4-4444-4-4-440011-1-1000001-11-11-1-1-1110000000000000000000−333−30
χ3644-4-4-4444-4-4-4400-2-22200000-22-22-2222-2-2000000000000000000000000
χ3744-4-4-44-2-2222-200-2-2220000012-2-11-1-1-11100000i6−i6−i6i6000000000000000
χ3844-4-4-44-2-2222-200-2-2220000012-2-11-1-1-11100000−i6i6i6−i6000000000000000
χ394-44-4004-4-44004-4-22-220004-4-200-2220000000000000000000000000000
χ404-44-400-222-2004-44-44-4000-22-200-2220000000000000000000000000000
χ414-44-400-222-2004-4-22-22000-221001-1-13-33-3000000000000000000000000
χ424-44-400-222-2004-4-22-22000-221001-1-1-33-33000000000000000000000000
χ434-4-44004-44-40000-222-200000-20022-200000000000000000−2i22i2000000000
χ444-4-44004-44-40000-222-200000-20022-2000000000000000002i2−2i2000000000
χ45666666-3-3-3-3-3-3-2-20000-20011000000000022-2-21111100000000-1-100000
χ46666666-3-3-3-3-3-3-2-20000-200110000000000-2-2221-1-1-1-1000000001100000
χ476666-6-6-3-3-3-333-2-200002001100000000002-2-22-111-1-1000000001-100000
χ486666-6-6-3-3-3-333-2-20000200110000000000-222-2-1-1-11100000000-1100000
χ496-66-6006-6-6600-220000000-220000000000000000000002i−2i00−2i2i0000000
χ506-66-6006-6-6600-220000000-22000000000000000000000−2i2i002i−2i0000000
χ5188-8-88-8-4-444-440022-2-200000-12-21-11-1-111000000000000000000000000
χ5288-8-8-88-4-4444-40022-2-200000-1-221-1111-1-1000000000000000000000000
χ538-8-88008-88-800002-2-2200000200-2-220000000000000000000000000000
χ548-8-8800-44-4400002-2-2200000-10011-13-3-33000000000000000000000000
χ558-8-8800-44-4400002-2-2200000-10011-1-333-3000000000000000000000000
χ568-8-8800-44-440000-444-400000200-2-220000000000000000000000000000
χ5712-1212-1200-666-600-4400000002-20000000000000000000000000000000000

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