Finite Group Databasebeta

← Group #11922245

Character table — Group #11922245

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222244668888121212121216161616161616161616242424242424242424363636363636363648484848484872
order12222236666644366624412123666666666448812242424242244888866121212122
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111-1
χ3111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111-1-11111111111111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-11
χ51111-1-11111-1-11111111-1-1111-1-1111-1-1-1-11-11-1-111-1-1-1-1-1111-1-1111-1-1-11
χ61111-1-11111-1-11111111-1-1111-1-1111-1-1-1-1-11-11-1-1-11111-11-1-11111-11-1-1-1
χ71111-1-11111-1-1111111-11-1111-1-1111-1-1-1-11-11-1-111-1-1111-1-1-111-1-11-111-1
χ81111-1-11111-1-1111111-11-1111-1-1111-1-1-1-1-11-11-1-1-111-1-11-111-1-1-1-1-11111
χ922222222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-100002000000220000-1-100-1-10
χ1022222222222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-100002000000-2-200001100110
χ11222222-1-1-1-1-1-1222222002-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-10000000000-1-1000
χ12222222-1-1-1-1-1-1222222002-1-1-122-1-1-1-1-1-1-1-2-2-2-2-11111000000000011000
χ132222-2-22222-2-222-1-1-1-12-2-222-111-1-1-111110000-2000000-220000-1-100110
χ142222-2-22222-2-222-1-1-1-1-22-222-111-1-1-111110000-20000002-200001100-1-10
χ152222-2-2-1-1-1-11122222200-2-1-1-1-2-2-1-1-111112-22-21-1-1110000000000-11000
χ162222-2-2-1-1-1-11122222200-2-1-1-1-2-2-1-1-11111-22-22111-1-100000000001-1000
χ172-2-22002-2-2200-2222-2-20002-22002-2-200000000000002-200002-20000000
χ182-2-22002-2-2200-2222-2-20002-22002-2-20000000000000-220000-220000000
χ19333333333333-1-1000033-1-1-1000000000011-1-1-1-1-1-1-111-1-1-1-1-1-10011001
χ20333333333333-1-1000033-1-1-10000000000-1-111-11111-1-1-1-1111100-1-100-1
χ21333333333333-1-10000-3-3-1-1-1000000000011-1-1-1-1-1-1-1-1-1111111001100-1
χ22333333333333-1-10000-3-3-1-1-10000000000-1-111-111111111-1-1-1-100-1-1001
χ233333-3-33333-3-3-1-100003-31-1-100000000001-1-111-1-111-1-11-1-1-111001-1001
χ243333-3-33333-3-3-1-100003-31-1-10000000000-111-1111-1-1111-111-1-100-1100-1
χ253333-3-33333-3-3-1-10000-331-1-100000000001-1-111-1-11111-1111-1-1001-100-1
χ263333-3-33333-3-3-1-10000-331-1-10000000000-111-1111-1-1-1-1-11-1-11100-11001
χ27444444-2-2-2-2-2-244-2-2-2-2004-2-21-2-211111110000-20000000000000000000
χ284444-4-4-2-2-2-22244-2-2-2-200-4-2-2122111-1-1-1-1000020000000000000000000
χ2944-4-44-444-4-44-4001-1-110000011-1-11-111-1-100000000000000000−i3i300−i3i30
χ3044-4-44-444-4-44-4001-1-110000011-1-11-111-1-100000000000000000i3−i300i3−i30
χ3144-4-44-444-4-44-400-222-200000-2-222-22-2-222000000000000000000000000
χ3244-4-44-4-2-222-2200-222-2000001-22-11-111-1-100000i6−i6i6−i6000000000000000
χ3344-4-44-4-2-222-2200-222-2000001-22-11-111-1-100000−i6i6−i6i6000000000000000
χ3444-4-4-4444-4-4-44001-1-11000001-11-11-1-1-11100000000000000000−i3i300i3−i30
χ3544-4-4-4444-4-4-44001-1-11000001-11-11-1-1-11100000000000000000i3−i300−i3i30
χ3644-4-4-4444-4-4-4400-222-200000-22-22-2222-2-2000000000000000000000000
χ3744-4-4-44-2-2222-200-222-20000012-2-11-1-1-11100000i6−i6−i6i6000000000000000
χ3844-4-4-44-2-2222-200-222-20000012-2-11-1-1-11100000−i6i6i6−i6000000000000000
χ394-44-4004-44-40000-22-2200000-20022-200000000000000000−2i22i2000000000
χ404-44-4004-44-40000-22-2200000-20022-2000000000000000002i2−2i2000000000
χ414-4-44004-4-4400-44-2-2220004-4-200-2220000000000000000000000000000
χ424-4-4400-222-200-4444-4-4000-22-200-2220000000000000000000000000000
χ434-4-4400-222-200-44-2-222000-221001-1-13-33-3000000000000000000000000
χ444-4-4400-222-200-44-2-222000-221001-1-1-33-33000000000000000000000000
χ45666666-3-3-3-3-3-3-2-2000000-211000000000022-2-2111110000000000-1-1000
χ46666666-3-3-3-3-3-3-2-2000000-2110000000000-2-2221-1-1-1-1000000000011000
χ476666-6-6-3-3-3-333-2-200000021100000000002-2-22-111-1-10000000000-11000
χ486666-6-6-3-3-3-333-2-20000002110000000000-222-2-1-1-11100000000001-1000
χ496-6-66006-6-66002-20000000-2200000000000000000002-20000-220000000
χ506-6-66006-6-66002-20000000-220000000000000000000-2200002-20000000
χ5188-8-88-8-4-444-44002-2-2200000-12-21-11-1-111000000000000000000000000
χ5288-8-8-88-4-4444-4002-2-2200000-1-221-1111-1-1000000000000000000000000
χ538-88-8008-88-800002-22-200000200-2-220000000000000000000000000000
χ548-88-800-44-4400002-22-200000-10011-13-3-33000000000000000000000000
χ558-88-800-44-4400002-22-200000-10011-1-333-3000000000000000000000000
χ568-88-800-44-440000-44-4400000200-2-220000000000000000000000000000
χ5712-12-121200-666-6004-400000002-20000000000000000000000000000000000

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