Finite Group Databasebeta

← Group #11921758

Character table — Group #11921758

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222244668888121212121216161616161616161616242424242424242424363636363636363648484848484872
order12223446661212443666224121236661212121212124488122424242422448888666612124
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ3111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111-1-11111111111111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-11
χ511111-1-1111-1-11111111-1-1111111-1-1-1-1-1-11-11-1-111-1-1111-1-1-11111-1-11-1-1
χ611111-1-1111-1-11111111-1-1111111-1-1-1-1-1-1-11-11-1-1-111-1-11-111-1-111-1-1-111
χ711111-1-1111-1-1111111-11-1111111-1-1-1-1-1-11-11-1-111-1-1-1-1-1111-1-1-1-1111-11
χ811111-1-1111-1-1111111-11-1111111-1-1-1-1-1-1-11-11-1-1-11111-11-1-111-1-111-11-1
χ922222222222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-100002000000220000-1-1-1-1000
χ1022222222222222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-100002000000-2-200001111000
χ1122222-2-2222-2-222-1-1-1-12-2-222-1-1-1-11111110000-20000002-20000-1-111000
χ1222222-2-2222-2-222-1-1-1-1-22-222-1-1-1-11111110000-2000000-22000011-1-1000
χ132222-122-1-1-1-1-1222222002-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1000000000000-1-10
χ142222-122-1-1-1-1-1222222002-1-1-1-1-1-122-1-1-1-1-2-2-2-2-11111000000000000110
χ152222-1-2-2-1-1-11122222200-2-1-1-1-1-1-1-2-211112-22-21-1-111000000000000-110
χ162222-1-2-2-1-1-11122222200-2-1-1-1-1-1-1-2-21111-22-22111-1-10000000000001-10
χ172-2-22200-2-2200-2222-2-2000-2222-2-20000000000000002-200002-20000000
χ182-2-22200-2-2200-2222-2-2000-2222-2-2000000000000000-220000-220000000
χ19333333333333-1-1000033-1-1-1000000000011-1-1-1-1-1-1-111-1-1-1-1-1-10000111
χ20333333333333-1-1000033-1-1-10000000000-1-111-11111-1-1-1-111110000-1-1-1
χ21333333333333-1-10000-3-3-1-1-1000000000011-1-1-1-1-1-1-1-1-1111111000011-1
χ22333333333333-1-10000-3-3-1-1-10000000000-1-111-111111111-1-1-1-10000-1-11
χ2333333-3-3333-3-3-1-100003-31-1-100000000001-1-111-1-11111-1111-1-100001-1-1
χ2433333-3-3333-3-3-1-100003-31-1-10000000000-111-1111-1-1-1-1-11-1-1110000-111
χ2533333-3-3333-3-3-1-10000-331-1-100000000001-1-111-1-111-1-11-1-1-11100001-11
χ2633333-3-3333-3-3-1-10000-331-1-10000000000-111-1111-1-1111-111-1-10000-11-1
χ274444-244-2-2-2-2-244-2-2-2-2004-2-21111-2-211110000-20000000000000000000
χ284444-2-4-4-2-2-22244-2-2-2-200-4-2-2111122-1-1-1-1000020000000000000000000
χ2944-4-4400-44-40000-22-2200000-22-22000000000000000000022−22000000000
χ3044-4-4400-44-40000-22-2200000-22-220000000000000000000−2222000000000
χ314-44-444-44-4-44-4001-1-11000001-1-111-111-1-100000000000000000−i3i3−i3i3000
χ324-44-444-44-4-44-4001-1-11000001-1-111-111-1-100000000000000000i3−i3i3−i3000
χ334-44-444-44-4-44-400-222-200000-222-2-22-2-222000000000000000000000000
χ344-44-44-444-4-4-44001-1-11000001-1-11-11-1-11100000000000000000−i3i3i3−i3000
χ354-44-44-444-4-4-44001-1-11000001-1-11-11-1-11100000000000000000i3−i3−i3i3000
χ364-44-44-444-4-4-4400-222-200000-222-22-222-2-2000000000000000000000000
χ374-44-4-24-4-222-2200-222-2000001-1-11-2211-1-100000i6−i6i6−i6000000000000000
χ384-44-4-24-4-222-2200-222-2000001-1-11-2211-1-100000−i6i6−i6i6000000000000000
χ394-44-4-2-44-2222-200-222-2000001-1-112-2-1-11100000i6−i6−i6i6000000000000000
χ404-44-4-2-44-2222-200-222-2000001-1-112-2-1-11100000−i6i6i6−i6000000000000000
χ414-4-44400-4-4400-44-2-222000-44-2-222000000000000000000000000000000
χ424-4-44-20022-200-4444-4-40002-2-2-222000000000000000000000000000000
χ434-4-44-20022-200-44-2-2220002-211-1-1003i−3i3i−3i000000000000000000000000
χ444-4-44-20022-200-44-2-2220002-211-1-100−3i3i−3i3i000000000000000000000000
χ456666-366-3-3-3-3-3-2-2000000-211000000000022-2-211111000000000000-1-10
χ466666-366-3-3-3-3-3-2-2000000-2110000000000-2-2221-1-1-1-1000000000000110
χ476666-3-6-6-3-3-333-2-200000021100000000002-2-22-111-1-1000000000000-110
χ486666-3-6-6-3-3-333-2-20000002110000000000-222-2-1-1-1110000000000001-10
χ496-6-66600-6-66002-200000002-200000000000000000002-20000-220000000
χ506-6-66600-6-66002-200000002-20000000000000000000-2200002-20000000
χ5188-8-8800-88-800002-22-2000002-22-2000000000000000000000000000000
χ5288-8-8-4004-4400002-22-200000-11-11003i−3i−3i3i000000000000000000000000
χ5388-8-8-4004-4400002-22-200000-11-1100−3i3i3i−3i000000000000000000000000
χ5488-8-8-4004-440000-44-44000002-22-2000000000000000000000000000000
χ558-88-8-48-8-444-44002-2-2200000-111-12-2-1-111000000000000000000000000
χ568-88-8-4-88-4444-4002-2-2200000-111-1-2211-1-1000000000000000000000000
χ5712-12-1212-60066-6004-40000000-220000000000000000000000000000000000

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